14. Find the value of x. Round to the nearest tenth(4 points).X(legi)2 + (leg2)2 = (hypotenuse)2 4m6 m
Answers
To find x, we have to use Pythagorean's Theorem.
\((hip)^2=(leg_1)^2+(leg_2)^2\)Let's replace each of them.
\(x^2=4^2+6^2\)Let's solve for x.
\(\begin{gathered} x=\sqrt[]{16+36} \\ x=\sqrt[]{52}\approx7.2 \end{gathered}\)Therefore, x is 7.2, approximately.Related Questions
What must be added to 17.91 to get 21?
Answers
Answer:
3.09
Step-by-step explanation:
21 - 17.91=3.09
This means that the difference between 17.91 and 21 is 3.09 which means for 17.91 to be equal to 21 you must add 3.09
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
Answers
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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7. Which function has -5 as its only zero?
A. f(x)=(x - 1)(x + 5)
B. f(x) = x(x + 5) C. f(x)=(x – 5)2
D. f(x)=(x + 5)2
Answers
what is the simplification of 1.1
Answers
Answer:
1 1/10
Step-by-step explanation:
I hope it's what you wanted
R.J. Bought a dozen doughnuts for his Spanish club. There are 10 members in the club. If the doughnuts are divided evenly, how mama should each member get?
Answers
1.2 or 1 1/5
Explanation:
Calculate:
12/10
Cross out the common factor(# 12 and #10) → 6/5
Convert the number: → 6/5
Alternative Result: → 1.2 or 1 1/5
12 / 10 = 1.2 or 1 1/5
Frank works at Best Buy. After 2 hours he’ll earn $15.50. If he works 4 hours he’ll earn $31.00. Find the rate of change and write your answer as a decimal.
Answers
Answer:
Each hour he earns $7.75
Step-by-step explanation:
You can find this out by dividing the money that he earns in 2 hours by 2 to get $7.75 an hour because $15.50 divided by 2 equals $7.75
NO LINKS!! URGENT HELP PLEASE!!
Using the information given in each diagram below, decide if any triangles are congruent, similar but not congruent, or similar. If you claim the triangles are congruent or similar, create a flowchart justifying your answer. Part 1
Please help me with #22 and 24
Answers
Answer:
22. Congruent traingle
24. Similar traingle
We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.
Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:
Properties of the similar triangle:
Corresponding angles are congruent: The corresponding angles of similar triangles are congruent. This means that if we label the corresponding angles of two similar triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', and angle C is congruent to angle C'.Corresponding sides are proportional: The corresponding sides of similar triangles are proportional. This means that if we label the corresponding sides of two similar triangles as a, b, and c and a', b', and c', respectively, then a:b::a':b' and b:c::b':c'.Ratios of corresponding sides are equal: The ratios of the corresponding sides of similar triangles are equal. This means that a/b = a'/b' and b/c = b'/c'.Perimeters and areas are proportional: The perimeters of similar triangles are proportional to the ratios of their corresponding sides, and the areas are proportional to the ratios of their corresponding sides squared. For example, if the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their perimeters is also 2:3, and the ratio of their areas is 4:9.Height and base are proportional: The height of similar triangles is proportional to the ratios of their corresponding sides. This means that if two similar triangles have heights h and h', respectively, and corresponding sides a and a', then h/h' = a/a'. Similarly, if the triangles have bases b and b', then the ratio of their heights is also b/b'.Properties of the Congruent Triangle:
Corresponding sides and angles are congruent: In congruent triangles, corresponding sides and angles are congruent. This means that if we label the corresponding angles of two congruent triangles as A, B, and C and A', B', and C', respectively, then angle A is congruent to angle A', angle B is congruent to angle B', angle C is congruent to angle C', and side AB is congruent to side A'B', side AC is congruent to side A'C', and side BC is congruent to side B'C'.Congruent triangles have equal perimeters: Congruent triangles have the same size, so their perimeters are equal.Congruent triangles have equal areas: Congruent triangles have the same size, so their areas are equal.The sum of interior angles is always 180 degrees: The sum of the three interior angles of a triangle is always 180 degrees, regardless of whether the triangle is congruent or similar.The altitude, median, and angle bisector of a triangle are also congruent: In congruent triangles, the altitude, median, and angle bisector of one triangle are congruent to the corresponding altitude, median, and angle bisector of the other triangle.
Factor. Check by multiplying
2a - 14 = ?
Answers
Answer: 2a - 14 = 2(a - 7)
Step-by-step explanation:
Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).
Answer: -14
Step-by-step explanation:
johnny is making a new patio in his yard and needs to buy paving stones. He estimates he will need 240 paving stones that are each 7.2” x 3.6” x 1.2”. The density of the paving stones is 259.2 lb/ft cubed. Johnny’s truck can hold a maximum of 460 kg. Can his truck carry all 240 paving stones in one trip? Justify your answer.
Answers
No, Johnny's truck cannot carry all the 240 stones in one trip because the weight of the stones is greater than the maximum capacity of the truck.
How to solve Algebra Word problems?Let us first convert the dimensions of the stones to ft from inches as;
7.2 inches = 0.6 ft
3.6 inches = 0.3 ft
1.2 inches = 0.1 ft
Volume of stone = 0.6 * 0.3 * 0.1
Volume of stone = 0.018 ft³
The formula for mass here is;
Mass = Density * Volume
Thus;
Mass = 259.2 * 0.018
Mass = 4.6656 kg
Total weight of 240 stones = 240 * 4.6656
= 1,119.744 kg
This is higher than the maximum capacity and so his truck cannot carry all the stones
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please help!! find the inverse of image attached :)
Answers
The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
What is inverse?More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.
According to question:The given statement is: "If x equals 3, then 2b + 5 equals 11."
To find the inverse, we negate both the hypothesis and the conclusion of the statement and switch their order:Inverse: If x does not equal 3, then 2b + 5 does not equal 11.Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.
The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.
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The width of a rectangular field is represented by x meters. The length of the field is 10 more than twice its width . The area of the field is 5500m^2
Part A
Write an equation that can be used to determine the dimensions, in meters, of the field.
Part B
What is the width, in meters, of the field?
The width is ( ) meters.
Answers
Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x
Part B: width is 50 meters.
How to determine the valueThe formula for calculating the area of a rectangle is expressed with the equation;
A = lw
Such that the variables are expressed as;
A is the areal is the lengthw is the widthWe then have that;
l = 2x + 10
Substitute the values
5500 = (2x + 10)(x)
expand the bracket
5500 = 2x² + 10x
2x² + 10x - 5500
x² + 5x - 2750
x² + 55x - 50x - 2750
x(x + 55) - 50(x + 55)
x = 50 meters
Length = 2(50) + 10
Length = 100 + 10 = 110 meters
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how many parts of pat's garden do not have flowers. Explain? Fractions
Answers
Answer:GIVE A BETTER DETAILED QUESTION sorry for caps
Step-by-step explanation:
HELP NOW PLEASSEE ! Find the mean absolute deviation
Answers
the student government claims that 70% of all students favor an increase in student fees to buy indoor potted plants for the classrooms. a random sample of 12 students produced 2 in favor of the project.
(a) What is the probability that 2 or fewer in the sample will favor the project, assuming the student government's claim is correct? (Use 3 decimal places.) (b) Do the the data support the student government's claim, or does it seem that the percentage favoring the increase in fees is less than 70%? The data do not give us any indication that the percent favoring the increase in fees differs from 70%. The data seem to indicate that the percent favoring the increase in fees is greater than 70%. The data seem to indicate that the percent favoring the increase in fees is less than 70%. The data seem to indicate that the percent favoring the increase in fees is equal to 70%.
Answers
The probability that 2 or fewer in the sample will favor the project is 4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%
According to the question,
It is given that according to the student's government
The probability that number of students in favor of increment in fees : p = 0.70
The probability that number of students against the increment : q = 0.30
Sample Size : n = 12
Number of students follows Binomial distribution
(a) We have to find the probability that 2 or fewer in the sample will favor the project
P( x ≤ 2) = P(0) + P(1) + P(2)
As we know ,
P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾
=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰
=> P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹ + 12×11/2 × (0.70)²(0.30)¹⁰
=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]
=> P( x ≤ 2) = 5.9×10⁻⁶[0.78]
=> P( x ≤ 2) = 4.368 × 10⁻⁶
Which is very close to zero
(b) The data doesn't support the student government claim.
The data seem to indicate that the percent favoring the increase in fees is less than 70%.
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the value of 45+(-21)-(-20)
a 4
b 44
c -4
d -44
Answers
Answer:
44 is the right answer.
Step-by-step explanation:
45+(-1)
44
Save me Lol I suck at math :D
Answers
Answer:
5/w-v
Step-by-step explanatio
Find the y-intercept of the following line. y=14/17 x+14
Answers
The y-intercept of the line y = 14 / 17 x + 14 is 14.
How to find the y-intercept of a line?The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.
Therefore, let's represent it in slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore, using the equation of a line in slope intercept form, the y-intercept of the equation y = 14 / 17 x + 14 is 14.
The y-intercept of a line is the value of y when x = 0.
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There is a charge of $0.18 per mile for extra miles. If Tim drives 500 extra miles, how much more will those cost him?
Answers
Answer:
should be $90.
Step-by-step explanation:
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
Answers
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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Can someone please help me?
Answers
Answer: X=7/3
Step-by-step explanation:
3
+
2
=
2
+
1
3
3
3x+2=2x+\frac{13}{3}
3x+2=2x+313
Solve
1
Subtract
2
2
2
from both sides of the equation
3
+
2
=
2
+
1
3
3
3x+2=2x+\frac{13}{3}
3x+2=2x+313
3
+
2
−
2
=
2
+
1
3
3
−
2
3x+2{\color{#c92786}{-2}}=2x+\frac{13}{3}{\color{#c92786}{-2}}
3x+2−2=2x+313−2
2
Simplify
Subtract the numbers
Subtract the numbers
3
=
2
+
7
3
3x=2x+\frac{7}{3}
3x=2x+37
3
Subtract
2
2x
2x
from both sides of the equation
3
=
2
+
7
3
3x=2x+\frac{7}{3}
3x=2x+37
3
−
2
=
2
+
7
3
−
2
3x{\color{#c92786}{-2x}}=2x+\frac{7}{3}{\color{#c92786}{-2x}}
3x−2x=2x+37−2x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
7
3
x=\frac{7}{3}
x=37
Solution
=
7
3Rectangles abcd and klmn are similar. If their permitted are 20 and 16, and the area of the larger rectangle is 25, what is the area of the smaller rectangle?
Answers
The area of the smaller rectangle (KLMN) is 16.
Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.
Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.
We can set up the proportion:
(x/y) = (20/16)
To find the area of the smaller rectangle, we need to determine the ratio of their areas.
Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:
(Area of ABCD)/(Area of KLMN) = (x²)/(y²)
We are given that the area of ABCD is 25, so we have:
25/(Area of KLMN) = (x²)/(y²)
To find the area of KLMN, we need to substitute the values of x and y from the proportion:
25/(Area of KLMN) = (20/16)²
Simplifying the right side:
25/(Area of KLMN) = (5/4)²
25/(Area of KLMN) = 25/16
Cross-multiplying:
25 × 16 = 25 × (Area of KLMN)
400 = 25 × (Area of KLMN)
Dividing both sides by 25:
16 = Area of KLMN
Therefore, the area of the smaller rectangle (KLMN) is 16.
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Need help with this tricky image
Answers
Explanation: shoes are worth 10. The boy is worth 5 and the paper 4
there was 506 tickets sold for the school play they were either student tickets or adult tickets there was 56 more student tickets sold than adult tickets sold how many adult tickets were sold
Answers
Answer:
A = 228 tickets
Step-by-step explanation:
We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.
Because the number of adult and student tickets together equals 506, we have A + S = 506.
Because there are 56 more student tickets than adult tickets we have A + 56 = S
And the way the system is already set up allows us to use substitution.
Thus, we have:
\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)
The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.
Draw lines to divide the circle into four equal parts.
What is one part called?
Answers
Answer:
A fourth of the circle or a quarter of the circle
Twice a number (z) added to 21 is equal to 9 times the number added to 7. What is the number?
z=-4
z = -2
z= 2
z=4
Answers
If a_1=3a 1 =3 and a_n=(a_{n-1})^2+4a n =(a n−1 ) 2 +4 then find the value of a_4a 4 .
Answers
The fourth term a₄ of the sequence is 29933
How to determine the value of a₄ of the sequence?From the question, we have the following definition of the function that can be used in our computation:
a₁= 3
aₙ = (aₙ₋₁)² + 4
The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term
Using the above as a guide,
so, we have the following representation
a₂ = (3)² + 4
a₂ = 13
Also, we have
a₃ = (13)² + 4
a₃ = 173
Lastly, we have
a₄ = (173)² + 4
Evaluate the equation
a₄ = 29933
Hence, the value of a₄ is 29933
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Martina swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Martina swim if there were no current
Answers
Find a quadratic funtion to model the values in the table. Predict the value of y for x=7
-1,1
0,4
3,-17
Answers
Answer:
i
Step-by-step explanation:
is this my question answer?
whats is the spread of 4, 6, 7, 9, 9
Answers
So, the spread of the numbers 4, 6, 7, 9, 9 is 5.
What is spread?Spread can refer to different things depending on the context. Here are a few examples:
In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).
In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.
In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).
In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.
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Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats
Answers
Answer:
48:16 ---> 3:1
Step-by-step explanation:
48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1