The sides of a triangle have lengths


5, 7 and x.


a. For what values of x is the


triangle a right triangle?


b. Tell whether the side lengths


form a Pythagorean triple.

Answer:

The common ratio is 5

Step-by-step explanation:

We know this because the first term times 5 equals the second term and the second term times five equals the third term and so forth.

Step-by-step explanation:

please mark me as brainlest

Answer:

x = 33 , y = 82

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

x = 180 - (40 + 107) = 180 - 147 = 33

x + 65 + y = 180° ( sum of angles on a straight line ) , then

33 + 65 + y = 180

98 + y = 180 ( subtract 98 from both sides )

y = 82

The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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Answer:

D. 483.84 ft^2.

Step-by-step explanation:

we have 2 triangles and 7 rectangles, 5 of which are 8.4*8.4 squares.

Area = 2 * 1/2 * 4 * 8.4 + 2*5.8*8.4 + 5 * 8.4^2

= 33.6 + 97.44 + 352.8

= 483.84 ft^2.

Answer:

Step-by-step explanation:

Given μA = $2.78, σA = $0.25, μB = $2.45, σB = $0.20, you want ...

The probabilities of interest are found using the CDF function of a suitable calculator or spreadsheet.

(a) P(A < $2.50) ≈ 0.1314

(b) P(B < $2.50) ≈ 59.87%

(c) P(B > $2.78) ≈ 0.0495

__

Additional comment

We note that you have provided your own answers to these questions. The answer you give for question B is not given as the percentage requested.

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Answer:

No, its C. G+15+8=45

Step-by-step explanation:

Because 1/3 of 45 is 15 is the amount of fuji apples, and 8 are red delicious, the rest are the amount of granny smiths.

Answer:

Step-by-step explanation:

7/25 28%

0.24 6/25 24%

0.31818 7/22 31.818%

0.30435 7/23 30.435%

Answer:

7/25 (simplified) OR 28/100.

‎‎‎‎‎‎

The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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The surface area of the cone when the slant height is halved, 31.66·π m² is decreased less than when the radius is halved, which produces a surface area of 20.33·π

The surface area of a circular cone is the sum of the surface area of the base of the cone and the curved surface area of the cone.

The radius of the cone = 3.8 meters

The height of the cone = 8.8 meters

The surface area of a circular cone is; S.A. = π·r·s + π·r²

Therefore, S.A. = π·(3.8) × 8.8 + π·(3.8)² = 47.88·π

The surface area, S.A.₁ when the radius is halved is therefore;

S.A.₁ = π·(r/2)·s + π·(r/2)²

Therefore, S.A.₁ = π·(3.8/2) × 8.8 + π·(3.8/2)² = 20.33·π

The surface area, S.A.₂ when the radius is halved is therefore;

S.A.₂ = π·r·s/2 + π·r²

Therefore, S.A.₂ = π·3.8 × 8.8/2 + π·(3.8)² = 31.66·π

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Answer: I think so A because it being multiple by 10 and u can get 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because it has the smallest power

To eliminate the xs in the system of equations, we multiply the second equation by -2 and add them

From the question, we have the following parameters that can be used in our computation:

2x + 9y = 18

x + y= 12

To eliminate the xs in the system of equations, we multiply the second equation by -2

So, we have

2x + 9y = 18

-2x + -2y = -24

Next, we add the equations

7y = -6

Hence, the new equation is 7y = -6

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The solution to the inequality are the region in the shaded area and the graph is attached

From the question, we have the following parameters that can be used in our computation:

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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The equation that could be used to prove the lines are parallel is: D. (c - a)/b = d/e

Parallel lines are lines that do not converge at any point and have the same slope.

Slope (m) = change in y / change in x

Slope of the first line = (c - a)/0 - b

Slope of the first line = (c - a)/b

Slope of the second line = (0 - (-d))/(e - 0)

Slope of the second line = d/e

Thus, if both line are parallel, then (c - a)/b = d/e. This is because parallel lines have the same slope.

The equation is: D. (c - a)/b = d/e

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Answer:

x = 26

Step-by-step explanation:

x and 64 are complementary angles so their sum is 90

x+64 = 90

x = 90-64

x = 26

Answer:

26

Step-by-step explanation:

90-64=26

~~~~~~~~~~

Answer:

55°

Step-by-step explanation:

Thus from the atrachment, the angle PGR is 180°-35°-90°

= 55°

The new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)

Given that the points M(-4,3) N(12, 0) P(6, -11) are dilated by a scale factor of 1/2.

We need to find the new coordinates of the dilation of the points.

We know that if a point (x, y) is dilated by a scale factor k, then the new points will be (kx, ky).

Therefore,

M(-4,3) = M'(-4/2, 3/2) = M'(-2, 1.5)

N(12, 0) = N(12/2, 0/2) = N'(6, 0)

P(6, -11) = P'(6/2, -11/2) = P'(3, -5.5)

Hence the new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)

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Answer: 98.9°

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180 degrees.

=180-81.1

=98.9°

The unsigned binary number 100101 is equal to 18 in base 10. The provided options (101, 21, 53, 37) do not match the conversion result.

The provided options (101, 21, 53, 37) do not match the conversion result of unsigned binary number to base.

To convert the unsigned binary number 100101 to base 10, we can use the following steps:
1. Identify the place values for each digit: (2^4) (2^3) (2^2) (2^1) (2^0)
2. Multiply the binary digits with their respective place values: (1×2^4) (0×2^3) (0×2^2) (1×2^1) (0×2^0)
3. Add the results: (16) + (0) + (0) + (2) + (0) = 18

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Answer:

-12

Step-by-step explanation:

(-3)(-2)[-4-(-2)]

6[-4-(-2)]

6[-2]

-12

Answer:

hyp = 83.9 ~ 84

Step-by-step explanation:

our given is a triangle and those are side so their squere is equal to the squere of hypothenus .

(82in) ^2 + (18in)^2 = (hyp)^2

6724 + 324 = (hyp)^2

7048 = (hyp)^2

hyp = √7048

hyp = 83.9 ~ 84 so the hypothenus is 83.9 approximate to 84

Step-by-step explanation:

3×+5-7×+9

3×3=9+5=14

7×7=49+9=58

58-14=44

Answer:

-2(2x-7)

Step-by-step explanation:

Answer:

102 / 105 = 0.971428571

Step-by-step explanation:

i used a calculator c:

The statement "If dy/dt=f(t)g(y), the equilibrium solutions can be obtained by finding the solutions to f(t)=0" is not entirely correct.

In a differential equation of the form dy/dt = f(t)g(y), the equilibrium solutions are the constant solutions where dy/dt = 0. These occur when g(y) = 0.

To find the equilibrium solutions, we need to solve g(y) = 0. Once we have found these solutions, we can determine their stability by analyzing the sign of f(t) near these equilibrium values. If f(t) is positive near an equilibrium value, the solution is unstable (i.e., solutions near the equilibrium will move away from it). If f(t) is negative near an equilibrium value, the solution is stable (i.e., solutions near the equilibrium will move towards it).

So, while f(t) = 0 may be useful in some cases for finding equilibrium values, it is not the correct approach for finding all equilibrium solutions in a differential equation of the form dy/dt = f(t)g(y). The equilibrium solutions are found by solving g(y) = 0.

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Answer:

625 \(cm^{2}\)

Step-by-step explanation:

The side lengths of a square are equal so each side must be 25 cm

a =\(s^{2}\)  (area = the side squared)

a = \(25^{2}\)

a = 625

Helping in the name of Jesus.

Standard deviation is a measure of the dispersion or spread of a set of data values. It quantifies the average amount of variation or deviation from the mean of a dataset, providing insight into the data's variability.

To find the 95% confidence interval for the mean difference between two dependent samples, we need to use the formula:

d-bar ± t(α/2, n-1) × s/√n

where d-bar is the mean difference, s is the standard deviation of the differences, n is the sample size, and t(α/2, n-1) is the t-value from the t-distribution with n-1 degrees of freedom and a level of significance α/2.

Using the given information, we have:

d-bar = 9.0
s = 7.81
n = 5
t(0.025, 4) = 2.776 (from t-tables or calculator)

Plugging these values into the formula, we get:

9.0 ± 2.776 × 7.81/√5
= 9.0 ± 6.51
= (2.49, 15.51)

Therefore, the most appropriate 95% confidence interval for the mean difference is (2.49, 15.51), which means we can be 95% confident that the true mean difference between the two populations lies within this range.

Answer choice (b) (-0.11, 12.76) is close but not correct, as it does not include the lower end of the confidence interval.

Answer choices (a) and (c) are too narrow, while answer choice (d) is too wide.

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The appropriate statistical test for this scenario would be a paired t-test for means, since the same group of individuals were tested twice under two different conditions (using word processor A and B).

The null hypothesis would be that there is no significant difference in typing speed between the two word processors, while the alternative hypothesis would be that there is a significant difference. To conduct the test, the differences between the typing speeds for each individual would be calculated (speed when using word processor A minus speed when using word processor B), and the mean and standard deviation of these differences would be calculated.

Then, a t-statistic would be calculated using the formula (mean difference / standard error of the mean difference), and the p-value would be determined based on the t-distribution with degrees of freedom equal to the sample size minus 1. If the p-value is less than the chosen level of significance (usually 0.05), then we reject the null hypothesis and conclude that there is a significant difference in typing speed between the two-word processors.

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Fractions are ratio of two integers. The museum has a side length of 20 inches.

Fractions are written as a ratio of two integers. The use of scale factors is important in diminishing and enlarging a figure or object.

Given the following parameters

Measure of the side base of the museum = 60m

If the scale factor os the side base is 3 inches to 18m, hence the side length  in inches is given below:

3in = 18meters

x = 60meters

Take the ratios

3/x = 18/60

18x = 3(60)

18x =180

x = 180/18

x = 10inches

Hence the side length of the museum in inches is 10 inches.

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Answer:

Step-by-step explanation:

\(12x + 19 + 22x - 9 = 180\)

\(12x + 22x = 180 - 19 + 9\)

\( \frac{34x}{34} = \frac{170}{34} \)

\(x = 5\)

hope it helps....