What is the measure of angle A? O 19.47 degrees O 18.43 degrees O 0.33 degrees O 70.53 degrees
Answers
To solve we use the law of sines, of which we have the following equation:
\(\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}\)We have the triangle shown below.
As you can see, we start by assuming a right angle at the face angle to the 12' segment.
In this case, the values of the equation for the triangle are as follows
\(\begin{gathered} a=4 \\ b=12 \\ \sin (A)=\sin (A) \\ \sin (B)=\sin (90)=1 \end{gathered}\)Now, we replace the values and solve for "A"
\(\begin{gathered} \frac{4}{\sin(A)}=\frac{12}{\sin(90)} \\ \sin (A)=\frac{4}{12}\cdot\sin (90) \\ A=\sin ^{-1}(\frac{4}{12}\cdot1) \\ A=19.47122\cong19.47 \end{gathered}\)In conclusion, the answer is approximately 19.47 degrees
Related Questions
Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Answers
Hello!
The distance, d, is less than 200 miles.
B. d > 200
I need some help to classify this triangle pls
Answers
Answer:
We conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.
Step-by-step explanation:
Given the sides of a triangle
\(\sqrt{5}, \sqrt{5},\sqrt{10}\)
Given that the two sides are equal. Thus, it must be an isosceles triangle.
Let us check whether it is an isosceles right triangle or not.
We know that for a right-angled triangle with sides a, b and the hypotenuse c is defined as:
\(c=\sqrt{a^2+b^2}\)
Given
\(a=\sqrt{5}\)
\(b=\sqrt{5}\)
now substituting \(a=\sqrt{5}\) and \(b=\sqrt{5}\) in the equation
\(c=\sqrt{a^2+b^2}\)
\(c=\sqrt{\left(\sqrt{5}\right)^2+\left(\sqrt{5}\right)^2}\)
\(c=\sqrt{10}\)
Thus,
\(a=\sqrt{5}\)
\(b=\sqrt{5}\)
\(c=\sqrt{10}\)
Which satisfies the given side lengths \(\sqrt{5}, \sqrt{5},\sqrt{10}\)
Therefore, we conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.
A study team was discussing how to multiply 6x^10 by 12x^2.
Andrea said, "The answer is 72x^20"
Bernard said, "No, the answer is 18x^20"
Carmen disagreed and said, "No, the answer is 72x^12"
Finally, Diego concluded, "You are all wrong. The answer is 18x^12"
Are any of these students correct? How do you know? Explain.
Answers
The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"
How to illustrate the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.
Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:
= 72 × x^(10 + 2)
= 72x^12.
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Liz leaning a total of 10 appetizers recipes over the course of 2 week of culinary school .
Answers
The number of appetizers that Liz would have learnt after 4 weeks given the unit rate is 20.
How many appetizers would Liz have learnt in 4 weeks?The first step is to determine the unit rate of appetizers that Liz learns.
Unit rate = total number of appetizers / total number of weeks
10 /2 = 5 appetizers
Number of appetizers Liz would learn in 4 weeks = 4 x 5 = 20
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A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answers
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
4−(3−5)=.
does anyone know what this is ??
Answers
4-(-2)
Two negatives equal one positive so it would be:
4+2
And 4 plus 2 is of course 6.
Please help mehhh please!!
Answers
Answer:
4x
Step-by-step explanation:
5x-x=4x
hope dis helps you
Answer:
4x
Step-by-step explanation:
At Denver international airport, 85% of recent flights have arrived in time. A sample of 11 flights is studied.
Answers
Answer:
Step-by-step explanation:
If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.
This can be solved by:
(0.85x11)= 9.35
Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.
The final answer= 9 flights
HELP PLEASE QUICK!!!!!!!!!!!!
A plumber charges a flat fee of $75 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.
Answers
C=25x+75 would be the equation
Step-by-step explanation:
75 dollars is the flat out fee right away and the 25 is for how many hours spent fixing the drain
If u have 1000000 20’s how much do u have
Answers
Answer:
$20,000,000 (if "20's" is "$20s")
Step-by-step explanation:
I'm assuming "20's" are "$20s"
1,000,000 $20s, then you have
$20,000,000 since 1,000,000×$20=$20,000,000
PLEASE ANSWER ASAP I NEED IT.
Answers
Answer:
\(\huge\boxed{\sf 18^{-3}}\)
Step-by-step explanation:
Given expression:\(\displaystyle \frac{18^4}{18^7}\)
According to exponent rule:\(\displaystyle \frac{a^m}{a^n} = a^{m-n}\)So, the expression becomes:
= \(18 ^{4-7}\)
= \(18^{-3}\)
\(\rule[225]{225}{2}\)
Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items he bought and the cost of each in pesos
Answers
Answer:
36 pencils
\(Cost = 0.2\)
Step-by-step explanation:
Given
Cost Price = 180
Represent the number of items by x
This implies that the cost of each item is \(\frac{x}{180}\)
\(Selling\ Price = Cost + Profit\)
\(Selling\ Price = \frac{x}{180} + 2\)
Since all but 6 items were sold, the total selling price is:
\(Total = (x - 6)(\frac{x}{180} + 2)\)
This amount can be used to buy 30 more items.
So, we have:
\((x - 6)(\frac{x}{180} + 2) = x + 30\)
Multiply both sides by 180
\(180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)\)
\((x - 6)(x + 360) = 180x + 5400\)
Expand brackets
\(x\² + 360x - 6x - 2160 = 180x + 5400\)
\(x\² + 354x - 2160 = 180x + 5400\)
Equate to 0
\(x\² + 354x - 180x - 2160 - 5400 = 0\)
\(x\² + 174x - 7560 = 0\)
Expand
\(x\² + 210x - 36x - 7560 = 0\)
\(x(x + 210) - 36(x + 210) = 0\)
\((x - 36)(x + 210) = 0\)
\(x - 36 = 0\) or \(x + 210 = 0\)
\(x = 36\) or \(x = -210\)
Since, number of items can't be negative, we have to discard x = -210.
Hence:
\(x = 36\)
We can then conclude that, Mr. Javier purchased 36 pencils
Recall that
\(Cost = \frac{x}{180}\)
\(Cost = \frac{36}{180}\)
\(Cost = 0.2\)
Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
In 25 years, Tina will have $354,452.86
Step-by-step explanation:
Monthly Contribution - $366.69 (Tina & Employer)
Length of Time in Years - 25
Estimated Interest Rate - 8.1%
Compound Frequency - Monthly
HURRY and answer the math
Answers
Answer:
D) y=3x+1
Step-by-step explanation:
If you fill in the numbers y=3x+1 is the equation that will always be true for the chart.
hope this helps
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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The figure below is a net for a right rectangular prism.
10 in
13 in
10 in
5 in
10 in
10 in
What is the surface area of the right rectangular prism, in square inches?
Answers
The surface area of a rectangular prism is 490 in² by the area of each face and then add them up.
Why is it named a rectangular prism ?We refer to the prism as a rectangular prism since each face is shaped like a rectangle. A cuboid, which has six rectangular faces, and each opposite rectangular face is equal to and parallel to another rectangular face is known to have a similar shape.
To find the surface area of the right rectangular prism, we need to find the area of each face and then add them up.
Looking at the net, we can see that there are 6 faces, each with its own dimensions:
The top and bottom faces are both rectangles with dimensions 10 in by 13 in, so each has an area of 10 in × 13 in = 130 in².
The front and back faces are both rectangles with dimensions 10 in by 5 in, so each has an area of 10 in × 5 in = 50 in².
The left and right faces are both rectangles with dimensions 13 in by 5 in, so each has an area of 13 in × 5 in = 65 in².
Therefore, the total surface area of the right rectangular prism is:
2(130 in²) + 2(50 in²) + 2(65 in²) = 260 in² + 100 in² + 130 in² = 490 in²
So, the surface area of the right rectangular prism is 490 square inches.
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Determine which set of side measurements could be used to form a triangle. 12, 23, 7 10, 7, 2 8, 3, 11 5, 11, 8
Answers
Based on the triangle inequality theorem, the set of side measurements that could be used to form a triangle is: D. 5, 11, 8.
What is the Triangle Inequality Theorem?The triangle inequality theorem states that three set of side measurements, a, b, and c would form a triangle if a + b > c, that is, the sum of any of two sides should be greater than the third side.
The set of side of measurements 5, 11, 8 will form a triangle because:
5 + 11 > 8 ⇒ 16 > 8
5 + 8 > 11 ⇒ 13 > 11
8 + 11 > 5 ⇒ 19 > 8
The other set of side of measurements do not conform to this criterion set by the triangle inequality theorem, therefore, the only set of side measurements that will form a triangle is: D. 5, 11, 8.
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Answer:
D.
5, 11, 8
Step-by-step explanation:
help plsss
rotate tuv 90 degrees clockwise around the origin
Answers
Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)
Step-by-step explanation:
2 to the Third power -(30÷5) +9
Answers
Answer:
11
Step-by-step explanation:
2^3-(30/5)+9
First, you divide 30/5 because it is in parentheses and we are following this rule for order of operations:
P- parentheses
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
so 30/5 = 6 and plugged in is:
2^3-(6)+9
Next, we do exponents:
2^3 = 2x2x2 = 8
plugged back in:
8-(6)+9
Now, we do the math from left to right so:
8-6=2
2+9=11
11 is your answer
The mean income for a sample of 407 sports psychologist was $70,617 with a standard deviation of $41,373. What is the income that represents the 25th percentile?
Answers
Answer:
Given pupulation means m equal to 150 milliseconds population standard deviation, sigma equal to 25 milly seconds.
Step-by-step explanation:
The graph below represents a recent 10 meter race between two remote control cars.
10 I'm
Remote Control Car Race
Answers
Answer:
It's B I think.
Step-by-step explanation: If they the lines intersected then it'd mean they crashed.
The graph below shows a recent 10-meter race between two remote-control automobiles. The racial assertions in A, B, and C are true.
What is a graph?A graph that shows the relationship between two or more variables, each of which is measured along one of two axes that are at right angles to one another.
At 6 meters into the race, the blue car overtook the red car because, at that moment, the blue car had a bigger distance than the red car.
Due to the greater slope of the blue vehicle's path compared to the red car's line, the blue car is faster.
Because the blue car's x-intercept is at (3, 0), where x stands for time and y for distance from the starting line, it began 3 seconds later than the other cars.
Hence Statements B, C, and D about race are true.
Q.The graph below represents a recent 10-meter race between two remote control cars.
A graph titled Remote Control Car Race has seconds after the race starts on the x-axis and distance from the start line (meters) on the y-axis. A line labeled red car goes through (3, 2) and (6, 4). A line labeled blue car goes through (3, 0) and (5, 2).
Which statements about race are true? Check all that apply.
The red car won the race because it started above the blue car.
The cars crashed 9 seconds into the race because that is the point of intersection, and neither car continued on after that point in time.
The blue car passed the red car at 6 m into the race because that is the point of intersection, and the blue car has a greater distance than the red car after that time.
The blue car is faster because the slope of its line is steeper than the slope of the line representing the red car.
The blue car started 3 seconds late because it has an x-intercept of (3, 0) and x represents the time and y represents the distance from the starting line.
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A coat and a pair of boots are on sale for 20% off. the regular price of the coat is 225$. the regular price of the boots is 130$. find the sale price of the coat. Explain. What is the sale price of the boots?
Answers
The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now on sale.
Given that,
20% off a coat and a pair of boots are now on sale. The coat normally sells for $225. The boots cost $130 on the open market.
We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,
The formula for the sales price is S = P - PD
Where, S is sales price, P is the original price and D is the discount percent.
P = 225 and D = 20%
S = 225 - 225 × 20%
S = 225 - 45
S = $180 is the sale price of coat.
Now,
Total regular price = 225 + 130 = 355
S = 355 - 355 × 20%
S = $284 is the sale price of boots.
Therefore, The sale price of coat is $180 and the sale price of boot is $284.
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23) In the country of Overtaxia, 46¢ of every dollar earned is deducted from
workers' pay as income tax. Sara wants to buy a compact disc whose total
price is $12.42. The amount of before-tax salary, in dollars, that she woul
have to earn in order to pay for the compact disc is
Answers
The amount of before-tax salary, in dollars, that she would have to earn in order to pay for the compact disc is $23.
What is a tax?A tax is the compulsory levy that is imposed by the government on the citizens. In this case, 46¢ of every dollar earned is deducted from workers' pay as income tax.
Let the amount of salary be represented by x.
Therefore to pay for the disc, the amount needed will be:
x - 0.46x = 12.42
0.54x = 12.42
Divide
x = 12.42 / 0.54
x = 23
.
She needs $23.
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I tried finding this one earlier and it didn’t work , so please help again !
Answers
Answer:
C. 62
Step-by-step explanation:
All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)
Question 4 of 10 Which expression is equivalent to (b^m)^m? A. b^n-m B. b^n+m C. b^n•m D. b^n/m
Answers
Answer:
C
Step-by-step explanation:
need to fill out these notes please help i have 8 more pages
Answers
Answer:
Step-by-step explanation:
Double check with your glossary.
solve for x: 6 < 4x + 8 < 14
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's solve ~
\(\qquad \tt \dashrightarrow \:6 < 4x + 8 < 14\)
\(\qquad \tt \dashrightarrow \:6 - 8 < 4x + 8 - 8 < 14 - 8\)
\(\qquad \tt \dashrightarrow \: - 2 < 4x < 6\)
\(\qquad \tt \dashrightarrow \: \dfrac{ - 2}{4} < \dfrac{4x}{4} < \dfrac{6}{4} \)
\(\qquad \tt \dashrightarrow \: \dfrac{ - 1}{2} < {x}{} < \dfrac{3}{2} \)
hope it helps ~
In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answers
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation:
Diya spent 2/5 of her money on a dress and 1/2 of the reminder on a doll. She spent $8 more o the dress than the doll. How much money did she have left?
year 6 Mathematics
Answers
Answer:
$24
Step-by-step explanation:
2/5 — dress
3/5 — remainder
1/2 of remainder = 1/2 × 3/5 = 3/10 — doll
rewrite fraction spent on dress: 4/10
dress - doll = $8
4/10 - 3/10 = 1/10
1/10 = $8
fraction of money left = 10/10 - 4/10 - 3/10
= 3/10
amount of money left = $8 × 3
$24
Find f′(x)
1. f(x) = x + 2
2. f(x) =2/x2
Answers
f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.
So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.
To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.
The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).
In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.
Applying the power rule, we differentiate each term separately:
f'(x) = d/dx (x^1) + d/dx (2)
The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.
The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.
Therefore, f'(x) = 1 + 0 = 1.
So, the derivative of f(x) = x + 2 is f'(x) = 1.
To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.
The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).
The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).
In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).
Applying the power rule and the constant multiple rule, we differentiate each term separately:
f'(x) = d/dx (2 * x^(-2))
Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.
Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.
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