Answer:
\(x\le 3\)
Step-by-step explanation:
\(2(4+2x)\ge 5x+5\)
\(2(4)+2(2x)\ge 5x+5\)
\(8+4x\ge 5x+5\)
\(8-5\ge 5x-4x\)
\(3\ge 1x\)
\(x\le 3\)
Answer:
\(x \leqslant 3\)
Third answer is correct.
Step-by-step explanation:
\(2(4 + 2x) \geqslant 5x + 5 \\ 8 + 4x \geqslant 5x + 5 \\ 8 - 5 \geqslant 5x - 4x \\ = 3 \geqslant x\)
hope this helps you
Steve, who lives in England, is reading a letter from his pen pal in the United States. His pen pal says that the temperature in his city was 37.4° Fahrenheit one day, so it was too cold to play rugby outside. Steve doesn't know how cold this is, because he is used to temperatures in Celsius. Help Steve solve the following equation to determine the temperature in degrees Celsius: 1.8C+32=37.4.
Round your answer to the nearest tenth of a degree.
Hello There!
1.8C+32=37.3
1.8C=37.3-32
1.8C=5.3
Now divide both sides by 1.8 to isolate C:
C=2.9
Hope this helps!
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\(GraceRosalia :)\)
The ize of a rectangle i 25 cm by 16 cm. A quare ha the ame area a the rectangle. Find the
perimeter of the quare
The square has a 48 centimeter perimeter.
To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.
Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.
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Sue interests $800 in an investment that can be represented by the function m=800(1.08)^t where t is the number of years the money is invested for, and m is the value of the investment in dollars. Enter the average rate or change, rounded to the nearest dollar per year, from year 2 to year 4
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ m(t)=800(1.08)^t \qquad \begin{cases} t_1=2\\ t_2=4 \end{cases}\implies \cfrac{m(4)-m(2)}{4 - 2} \\\\\\ \cfrac{800(1.08)^4~~ - ~~800(1.08)^2}{2} ~~ \approx ~~ \cfrac{1088.39-933.12}{2}~~ \approx ~~\text{\LARGE 78} ~~ \frac{\$}{year}\)
Help plz ASAP
150% as a fraction or mixed number
Answer:
150%as a fraction is 3/2
Answer:
1.50 or 1 1/2
Step-by-step explanation:
Hope this helps!
A puppy weighed 2kg.
Eight weeks later the puppy weighed 3.5kg
What was the percentage increase in the puppy's weight?
Answer:
\(3.5 - 2 \times 100 \div 2\)
Answer:
The percentage increase in the puppy's weight is 75%.
Step-by-step explanation:
We can find the percentage increase using the following formula:
\(\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}\).
In this case,
• initial = 2 kg
• final = 3.5 kg
Substituting these values into the formula:
\({\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}\)
⇒ \(\frac{1.5}{2} \times 100\)
⇒ \(0.75 \times 100\)
⇒ 75%
The formula for the volume of a rectangular pyramid is V= 1/3lwh. Solve the formula for w.
When the formula is solved for w, the result is 3V/lh = w.
How to solve for w?In order to solve for w, we are to make w the subject of the formula. To make, w, the subject of the formula means to make w to stand alone in the given equation.
The given equation is: V= 1/3lwh.
In order to do this, take the following steps:
Multiply both sides of the equation by 3
3 x V = 3 x (1/3lwh)
3V = lwh
The second step is to divide both sides of the equation by lh
3V/lh = w
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A rectangle has a length represented by the function f(x) and a width represented by g(x).
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not.
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
the statement that combines the functions is P(x)
find the value of y when x = 16.
y=9 when x=8
Answer:When x=16 , y=36 . Explanation: If y varies directly as x , then if y increases, x increases, and if y decreases, x decreases.
Step-by-step explanation: because
the loss of mass per year for an element as m(l) =238(1-.40)t what will the mass of the element be after 3 yearts
To find what the mass will be after 3 years we replace t by 3 into the equation
\(\begin{gathered} m(3)=238\cdot(0.6)^3 \\ m(3)=238\cdot(0.216) \\ m(238)=51.408 \end{gathered}\)the mass will be 51.408
You are going on vacation with your family to the beach. You already spent $160
on groceries for the week, and you know that each time you eat out you will spend another $40
.
Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.
For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.
To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.
Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:
Total spent on eating out = $40 * x
Adding this to the amount spent on groceries, the total vacation budget can be calculated as:
Total budget = Amount spent on groceries + Total spent on eating out
Total budget = $160 + ($40 * x)
For example, if you plan to eat out 3 times during the week, the calculation would be:
Total budget = $160 + ($40 * 3)
Total budget = $160 + $120
Total budget = $280
In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.
The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.
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Noah packs up bags at the food pantry to deliver to
families. He packs 5 bags that weigh a total of 17
pounds. Each bag contains 3 pounds of groceries and a
packet of papers with health-related information. How
much does each packet of papers weigh?
Answer:
0.4 pounds
Step-by-step explanation:
5 bags x 3= 15
17-15=2
2/5= 0.4
Answer:
5(x + 3) = 17
Step-by-step explanation:
I had this question before and this was the answer. I don't have a step by step explanation tho.
Firm 1 and firm 2 compete with each other by choosing quantities. The market demand is given by P(Q) = {400 - Q, if Q < 400 {0, otherwise
where Q = ᵩ₁ ₊ ᵩ₂. Firm 1 has a cost function C₁ (ᵩ₁) = 40ᵩ₁, and firm 2 has a cost function C₂ (ᵩ₂) 50ᵩ₂. Answer the following questions. 9. Assume the game lasts only one period. Compute the approximate equilibrium profits for both firms. (a) π₁ = 11833, π₂ = 72 10842 (b) π₁ = 15211, π₂ = 12844 (c) π₁ = 13164, π₂ = 15300 (d) π₁ =16339, π₂ = 214683 10. If firm 1 becomes the monopolist on this market, what quantities will firm 1 choose to produce? Denote this quantity as QM- (a) Qₘ = 120 (b) Qₘ = 135 (c) Qₘ = 180 (d) Qₘ = 220 (e) Qₘ = 160 11. One possible strategy is that each firm produces. This gives a more Pareto efficient outcome. But given that firm 2 produces this quantity, how much does firm 1 want to produce? (a) ᵩ₁ = 90 (b) ᵩ₁ = 60 (c) ᵩ₁ = 135 (d) ᵩ₁ = 110 (e) ᵩ₁ = 123 12. Assume this game is infinitely repeated and the interest rate in this economy is r. For what values of r the strategy in (11) is sustainable by using a "Grim Trigger" strategy? (a) r ≤.5 (b) r ≤.395 (c) r ≤.488 (d) r ≤.152 (e) r ≤.294
please point out each answer.
The approximate equilibrium profits for both firms are: 11833.72 and 10842.
Firm 1 will choose to produce a quantity of QM = 180 when it becomes the monopolist.
When firm 2 produces QM = 180, firm 1 wants to produce a quantity of q₁ = 90
Option F, none of the given options (a) r ≤ 0.5, (b) r ≤ 0.395, (c) r ≤ 0.488, (d) r ≤ 0.152, (e) r ≤.294 F(none of the above
Here, we have,
To solve this exercise, attempt all questions one after the other.
To compute the approximate equilibrium profits for both firms, we need to determine their optimal quantities and corresponding prices.
Firm 1's profit (Π₁) can be calculated as follows:
Π₁ = P(Q) × q₁ - C₁(q₁)
where P(Q) = 400 - Q if Q < 400, and Q = q₁ + q₂.
Similarly, firm 2's profit (Π₂) can be calculated as:
Π₂ = P(Q) × q₂ - C₂(q₂)
By substituting the given cost functions, we have:
Π₁ = (400 - Q) × q₁ - 40 × q₁
Π₂ = (400 - Q) × q₂ - 5092
To find the equilibrium, we need to determine the values of q₁ and q₂ that maximize both firms' profits simultaneously.
Using the given quantity Q = 91 + 92, we can substitute Q in the profit equations and solve for the optimal quantities.
The approximate equilibrium profits for both firms are:
(a) Π₁ = 11833.72, Π₂ = 10842.
10. If firm 1 becomes the monopolist in this market, it will choose the quantity that maximizes its profit. To find this quantity, we can set up the monopolist's profit maximization problem.
The monopolist's profit (Π) is given by:
Π = P(QM) × QM - C₁(QM)
where P(QM) = 400 - QM, and QM is the quantity produced by the monopolist.
By substituting the given cost function C₁(91) = 40q₁ and rearranging the equation, we have:
Π = (400 - QM) × QM - 40 × QM
To find the quantity that maximizes the monopolist's profit, we take the derivative of Π with respect to QM, set it equal to zero, and solve for QM.
Differentiating Π with respect to QM:
dΠ/dQM = 400 - 2QM - 40
Setting dΠ/dQM = 0 and solving for QM:
400 - 2QM - 40 = 0
-2QM = -360
QM = 180
Therefore, firm 1 will choose to produce a quantity of QM = 180 when it becomes the monopolist.
If firm 2 produces a certain quantity, firm 1 wants to choose the quantity that maximizes its own profit. In this case, firm 2 produces QM = 180. Firm 1's profit (Π₁) can be calculated using the profit function:
Π₁ = P(Q) × q₁ - C₁(q₁)
Substituting P(Q) = 400 - Q and Q = q₁ + 180, we have:
Π₁ = (400 - q₁ - 180) × q₁ - 40 × q₁
To find the quantity that maximizes firm 1's profit, we differentiate Π₁ with respect to q₁, set it equal to zero, and solve for q₁.
Differentiating Π₁ with respect to q₁:
dΠ₁/dq₁ = 400 - 2q₁ - 180 - 40
Setting dΠ₁/dq₁ = 0 and solving for q₁:
400 - 2q₁ - 180 - 40 = 0
-2q₁ = -180 - 40 + 400
-2q₁ = 180
q₁ = 90
Therefore, when firm 2 produces QM = 180, firm 1 wants to produce a quantity of q₁ = 90 to maximize its own profit.
The answer is (a) q₁ = 90.
To determine the values of r for which the strategy in (3) is sustainable using a "Grim Trigger" strategy, find the discount factor at which the Grim Trigger strategy becomes optimal.
In the Grim Trigger strategy, if one player deviates from the cooperative strategy, the other player permanently switches to a punishment strategy.
For Grim Trigger to be sustainable, the discount factor (r) should be sufficiently high to make the cooperative strategy more attractive than deviating to the punishment strategy.
Since the exercise does not explicitly provide a cooperative strategy, it is difficult to determine the exact threshold for r. The answer may depend on the specific details of the cooperative strategy and punishment strategy.
Therefore, none of the given options (a) r ≤ 0.5, (b) r ≤ 0.395, (c) r ≤ 0.488, (d) r ≤ 0.152, (e) r ≤.294
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Apply the distributive property to create an equivalent expression. ( 1 -2g +4h)\cdot 5 =(1−2g+4h)⋅5=left parenthesis, 1, minus, 2, g, plus, 4, h, right parenthesis, dot, 5, equals
Answer:
5 - 10g + 20hStep-by-step explanation:
Given three elements A, B and C related together according to the expression A(B+C), according to distributive property, the element A will be distributed to the rest of the element as shown;
A(B+C) = A(B)+A(C)
A(B+C) = AB + AC (Law of distributivity)
Given the expression according to the question (1−2g+4h)⋅5, in order to use the distributive law to find the equivalent expression, we will use the concept above as shown;
= (1−2g+4h)⋅5
= 5.(1−2g+4h)
= 5(1)-5(2g)+5(4h)
= 5 - 10g + 20h
Hence the equivalent expression using the distributive property is 5 - 10g + 20h
Answer:
5 - 10g + 20h
Verify that y=x + xcis a solution of the differential equation x dxdy =3x 2−y
Yes, the function y = x + x*cosθ is indeed a solution to the given differential equation x(dxdy) = 3x^2 - y.
To verify that y = x + x*cosθ is a solution to the differential equation, we need to substitute it into the equation and check if it satisfies the equation. Let's begin by calculating dxdy and substituting the values into the equation:
Given function: y = x + x*cosθ
Differentiating y with respect to x, we get:
dy/dx = 1 + cosθ - x*sinθ
Now, let's calculate dxdy:
dxdy = x(dy/dx)
= x(1 + cosθ - x*sinθ)
Substituting dxdy into the original differential equation:
x(dxdy) = x[x(1 + cosθ - x*sinθ)] = 3x^2 - y
Expanding and simplifying:
x^2 + x^2cosθ - x^3sinθ = 3x^2 - (x + xcosθ)
x^2cosθ - x^3sinθ = 2x^2 - x - xcosθ
Rearranging the terms:
x^2cosθ + xcosθ = 2x^2 - x + x^3*sinθ
Factoring out common terms:
xcosθ(x + 1) = x(2x - 1 + x^2sinθ)
Canceling out x:
cosθ(x + 1) = 2x - 1 + x^2*sinθ
Since the equation is satisfied for all values of x and θ, we can conclude that y = x + x*cosθ is indeed a solution to the given differential equation.
By substituting y = x + xcosθ into the differential equation and simplifying the expression, we have shown that the equation is satisfied. Hence, we can conclude that y = x + xcosθ is a valid solution to the differential equation x(dxdy) = 3x^2 - y.
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Find the volume of a prism whose area of base is 15 cm2 and hight is 10 cm
Answer:
Step-by-step explanation:
V = Bh
V = 15(10)
V = 150 cm3
Yen paid $10.50 for 2.5 pounds of pretzels what price did she pay for each pound pretzels?
Answer:4.2
Step-by-step explanation:
Which Triangle appears to be both right and isosceles?
Answer: B
Step-by-step explanation: An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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Rewrite 4.57 using scientific notation. O -4.57 x 10¹ O 4.57 x 10¹ O-4.57 x 10-¹ O 4.57 x 10° QUESTION 30 -852.109 x 10-425 = ? × 10-427 O-85 210.9 O-8.521 09 O-85.2109 0-8521.09
The correct scientific notation for 4.57 is 4.57 x 10¹. Scientific notation is a way to represent numbers that are either very large or very small by expressing them as a product of a coefficient and a power of 10.
In this case, the coefficient is 4.57, and the power of 10 is 1, indicating that the decimal point is shifted one place to the right. For the second expression, -852.109 x 10⁻⁴²⁵, the correct scientific notation is -8.52109 x 10⁻⁴²⁷. Again, the coefficient is -8.52109, and the power of 10 is -427, indicating that the decimal point is shifted 427 places to the left.
Scientific notation is useful in representing very large or very small numbers and makes it easier to work with and compare such numbers.
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Mario and Luigi want to purchase some extra controllers for their friends. Each controller costs $29.99. Use an algebraic expression to describe how much they will spend in total, before sales tax, based on purchasing the console, the number of games, and the number of extra controllers
Answer:
C = 299x + 59.99y + 29.99z
Step-by-step explanation:
An algebraic expression is an expression in which it involves the numbers like 1,2,3 also it includes the operations such as additions, subtraction, multiplication, etc
Fo mentioning an algebraic expression, we do have following components
x = number of consoles purchased
y = number of games purchased
z = number of controllers purchased
C = total cost
Also, the total cost would be equivalent to the sum of the price and then it multiplied with the numbers as stated above
So, the algebraic expression is
C = 299x + 59.99y + 29.99z
ANSWER ASAP FOR QUIZ
PLEASE HELP. WILL MARK BRAINLIEST
Answer:
Use https://www.bartleby.com/ it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)
Step-by-step explanation:
Louisa's savings change by -$9 each time she goes bowling. IN all, it changed by -$99 during the summer. How many times did she go bowling in the summer?
Mathematically, Louisa went bowling in the summer 11 times.
How is the number determined?We can use division operation to determine the number of times Louisa's savings decreased.
Since the savings decreased by $9 every time, and the total decrease was $99, then using division, we can compute that she went bowling 11 times.
This arithmetic can be checked by multiplication: -$9 x 11 equals -$99.
The change in Louisa's savings = -$9
The total change in savings = -$99
The number of times the savings changed = 11 (-$99/-$9)
Thus, Louisa went bowling 11 times.
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A state highway patrol official wishes to estimate the percentage/proportion of drivers that exceed the speed limit traveling a certain road.
A. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 3 %? Note that you have no previous estimate for p.
B. Repeat part (A) assuming previous studies found that the sample percentage of drivers on this road who exceeded the speed limit was 65%
A) Approx. 1067 is the required sample size to ensure 95% confidence that the sample proportion will not differ from the true proportion by more than 3%.
B) When the previous estimate is 65%, approx. 971 is the sample size needed to achieve 95% confidence that the sample proportion will not differ by more than 3% from the true proportion.
How to calculate the sample size needed for estimating the proportion?To determine the sample size needed for estimating the proportion of drivers exceeding the speed limit, we can use the formula for sample size calculation for proportions:
n = (Z² * p * (1 - p)) / E²
where:
n = the sample size.
Z = the Z-value associated with the confidence level of 95%.
p = the estimated proportion or previous estimate.
E = the maximum allowable error, which is 3% or 0.03.
We calculate as follows:
A. No previous estimate for p is available:
Here, we will assume p = 0.5 (maximum variance) since we don't have any prior information about the proportion. So, adding the values into the formula:
n = (Z² * p * (1 - p)) / E²
n = ((1.96)² * 0.5 * (1 - 0.5)) / 0.03²
n= (3.842 * 0.5 * (0.5))/0.03²
n = (1.9208*0.5)/0.0009
n ≈ 1067.11
Thus, to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%, a sample size of approximately 1067 is required.
B. Supposing previous studies found that the sample percentage of drivers who exceeded the speed limit is 65%:
Here, we have a previous estimate of p = 0.65:
Putting the values into the formula:
n = (Z²* p * (1 - p)) / E²
n = ((1.96)² * 0.65 * (1 - 0.65)) / 0.03²
n= (3.842 * 0.65 *(0.35))/0.0009
n ≈ 971
Hence, with the previous estimate of 65%, a sample size of approximately 971 is necessary to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%.
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statistical literacy (a) if we have a distribution of x values that is more or less mound-shaped and somewhat symmetric, what is the sample size needed to claim that the distribution of sample means x from random samples of that size is approximately normal? (b) if the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means x taken from random samples of a given size is normal
It is important to be aware that the distribution of sample means x may not match the distribution of the original x values exactly, due to sampling variability.
then the sample size needs to be larger, possibly 50 or 30the sample size needed to claim that the distribution of sample means x from random samples of that size is approximately normal depends on the shape of the original distribution of x values. If the distribution is mound-shaped and somewhat symmetric, then the sample size needs to be fairly large, around 30 or more. However, if the original distribution of x values is strongly skewed or has outliers statisticl literacyif the original distribution of x values is known to be normalize size needs to be large, then the sample size does not need to be restricted in order to claim that the distribution of sample means x taken from random samples of a given size is normal. The sample size should still be at least 30, as this is necessary to produce a reliable result.
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Simplify (26+1)(2b+11) =
Answer:
54b + 297
Step-by-step explanation:
(26 + 1) (2b + 11)
(27) (2b + 11)
54b + 297
Answer:
if it's a answer choice B
Step-by-step explanation:
Miguel has $30. He spends $6.75 on a movie ticket, $3.65 for snacks, and $2.00 for bus fare each way.
How much money does Miguel have left? please help :}
Answer:
$15.60
Step-by-step explanation:
We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:
\(6.75+3.65+4.00\)
\(=14.40\)
Let's subtract our sum, \(14.40\), from our total, \(30\):
\(30-14.40\)
\(=15.60\)
Miguel has $15.60 left.
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to bianca’s answer. the apothem, rounded to the nearest tenth, is units. the perimeter of the equilateral triangle is units. therefore, the area of the equilateral triangle is , or approximately 43.5 units2. the calculated areas are
the area of the equilateral triangle using the formula for the area of a regular polygon: 43.5 units squared
The area of a customary polygon is given as:
\(=\frac{1}{2} ap\)
'a' is the apothem and 'p' is the edge.
The edge of the equilateral triangle is 3×10=30 units.
The apothem is given by:
\(a= \frac{8}{\sqrt[2]{3} }\\ \\a= \frac{10}{\sqrt[2]{3} } \\\\a=2.9\)
Consequently, the area is
1/2 * 2.9 * 30 = 43.5
On the off chance that all the polygon sides and inside points are equivalent, they are known as ordinary polygons. Instances of standard polygons are square, equilateral triangle, and so forth. In standard polygons, not exclusively are the sides consistent however the points are as well. That means they are equiangular.
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the complete question is:
Bianca calculated the height of the equilateral triangle with side lengths of 10. tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments. Then, she used the formula for area of a triangle to approximate its area, as shown below. A = one-half b h. = one-half (10) (8.7). = 43.5 units squared. Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca's answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43.5 units2. The calculated areas are .
Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the flowers was $75. How much should she tip the driver.
Answer:
\(8\%\)
Step-by-step explanation:
Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.
Because the total is $75 and Theresa is tipping $6, she is tipping \(\frac{6}{75}=0.08\) of the total. To convert this to a percentage, multiply by 100: \(0.08\implies 0.08\cdot 100=\boxed{8\%}\)
I NEED HELP ASAP! i already filled in the table, I just need help with the question.
The constant ratio in each representation is 4 and it shows a constant ratio between consecutive output values of the function.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio or constant ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the constant ratio in each representation as follows;
Constant ratio, r = a₂/a₁ = a₃/a₂ = a₄/a₃ = a₅/₄
Constant ratio, r = 12/3 = 48/12 = 192/48 = 768/192
Constant ratio, r = 4.
Read more on geometric sequence here: brainly.com/question/16423479
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