what is the length of the hypotenuse of the triangle when x = 3?

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(\dfrac{4}{9})^2}[/tex]

[tex]\mathsf{= \dfrac{4}{9}\times\dfrac{4}{9}}[/tex]

[tex]\mathsf{= \dfrac{4^2}{9^2}}[/tex]

[tex]\mathsf{\dfrac{4\times4}{9\times9}}[/tex]

[tex]\mathsf{4 \times 4 = \bold{16}\leftarrow \underline{Numerator}}[/tex]

[tex]\mathsf{9\times9 = \bf 81}\leftarrow\mathsf{\underline{Denominator}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \boxed{{\bf \dfrac{16}{81}}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The answer is d

Step-by-step explanation:

Answer:

(4, -2)

Step-by-step explanation:

The midpoint of two points is found by averaging the X coordinates and averaging the Y coordinates to create a new pair.

X: (5+3)/2     = 4

Y: (-10+6)/2   = -2

Answer:

(4,-2)

Step-by-step explanation:

add the x and divide by two. do the same with the y. this is the same as finding the average

Answer:

[tex]\begin{array}{cc}{Cars} & {Months} & {28} & {3} & {29} & {3} & {30} & {1} & {31} & {2} \ \end{array}[/tex]

Step-by-step explanation:

Given

Data:

[tex]29\ 30\ 29[/tex]

[tex]29\ 31\ 28[/tex]

[tex]28\ 31\ 28[/tex]

Required

Construct a frequency table

From the given data, we have:

28 occurs 3 times

29 occurs 3 times

30 occurs 1 time

31 occur 2 times

Hence, the frequency table is:

[tex]\begin{array}{cc}{Cars} & {Months} & {28} & {3} & {29} & {3} & {30} & {1} & {31} & {2} \ \end{array}[/tex]

Answer:

Hope it helps! follow me!  brainliest! Peace out!

Step-by-step explanation:

Cars:      months:

28           3

29           3

30           1

31            2

Answer:

Your answer should be C.

Step-by-step explanation:

In order to make 150% you need a whole which represents the 100%. Which leaves B out of the question. A Is not close to half of a bar, which you can also eliminate. C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded, in this case D is 4 shaded and 2 unshaded which is wrong. So, your answer is C because there is 3 shaded and unshaded boxes in the model, hope this helps!

The diagram that represents 150%​ should be C.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

In order to make 150% we need a whole which represents the 100%. Which leaves B out of the question.

Option A Is not close to half of a bar, which we can also eliminate.

Option C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded,

In this case D is 4 shaded and 2 unshaded which is wrong.

Therefore, the answer is C because there is 3 shaded and unshaded boxes in the model.

Learn more about percentages;

brainly.com/question/24159063

#SPJ2

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

Option (C) 198 cm² will be the answer.

Step-by-step explanation:

Surface area of rectangular prism=2(lb+bh+lh)

where l=length, b=breadth and h=height.

Here, the length is 9cm, breadth is 6cm and height is 3cm.

By applying the formula,

2{(9*6)+(6*3)+(9*3)}

2{54+18+27}

2*99

198cm²

Answer:

The answer is C

Step-by-step explanation:

The mean of math is 84, and the Mean of science is 85.

so, science is clearly one point higher

The monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given

P = $8720

r = 12.5% = 0.125
n = 12
t = 15

Substitute

A = 8720(1+0.125/12)^180
A = 1.8622 *  8720

A = $56,312.74

Monthly payment = 56,312.74/180
Monthly payment = 312.84

Hence the monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

Learn more on compound interest here: https://brainly.com/question/24924853

Answer:

1 7/10

Step-by-step explanation:

Given that:

Weight of bag 1 = 2/5 pounds

Weight of bag 2 = 7/10 pounds

Weight of bag 3 = 3/5 pounds

Total weight of the three bags :

2/5 + 7/10 + 3/5

Take the lcm of 5 and 10

Lcm of 5 and 10 = 10

(4 + 7 + 6) / 10

17 /10

= 1 7/10

Answer:

If you are referring to the y-intercept, then the answer is 5. Otherwise, the answer is probably 6.

Step-by-step explanation:

Answer:

i got 1

Step-by-step explanation:

Answer: x=17 and 98

Step-by-step explanation:

Those two angles are supplementary so just add them together and make it equal to 180.

Answer:

487

Step-by-step explanation:

We can use this formula to find the 60th term:

8n+7

Answer:

A and E, The first and the last

Answer:

(a) Similar polygons; scale factor is 2

(b) Similar polygons; scale factor is 1.5

Step-by-step explanation:

Given

See attachment for polygons

Required

Determine if they are similar or not

Solving (a): The triangle

The angles in both triangles show that the triangles are similar

To calculate the scale factor (k), we simply take corresponding sides.

i.e.

[tex]k = \frac{DF}{BA} = \frac{FE}{AC} = \frac{DE}{BC}[/tex]

[tex]k = \frac{6}{3} = \frac{8}{4} = \frac{10}{5}[/tex]

[tex]k = 2=2=2[/tex]

[tex]k = 2[/tex]

The scale factor is 2

Solving (b): The trapezium

The angles in both trapeziums show that the trapeziums are similar

To calculate the scale factor (k), we simply take corresponding sides.

i.e.

[tex]k = \frac{KN}{GJ}[/tex]

[tex]k = \frac{6}{4}[/tex]

[tex]k = 1.5[/tex]

The scale factor is 1.5

This question is incomplete, the complete question is;

Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.

Is the sampling distribution of the difference in sample means approximately normal?

a) Yes, because Alicia selected a random sample

b) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size.

c) Yes, because the size of each sample is at least 30

d) No, because the distribution of Brand A shoes has outliers

e) No, because the shape of the population distribution is unknown.

Answer:

the sampling distribution of  the difference in sample means is approximately normal because the size of each sample is al least 30

Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.

Step-by-step explanation:

Given the data in the question;

sample size of brand A shoes [tex]n_A[/tex] = 40

sample size of brand B shoes [tex]n_B[/tex] = 33

As we can notice,

[tex]n_A[/tex] = 40 > 30

[tex]n_B[/tex] = 33 > 30

Hence, we consider both samples to be large.

Therefore, the sampling distribution of  the difference in sample means is approximately normal because the size of each sample is al least 30.

Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.

Answer:

(x+1)^2 + y ^2 = 16

Step-by-step explanation:

center: (-1,0)

radius=4

(x-h)^2 + (y-k)^2 = r^2

(h,k) = center

plug in the center

(x+1)^2 + (y+0) ^2 = r^2

r^2 = (4)^2

r^2=16

(x+1)^2 + y^2 = 16

Answer:

I believe it is 60

Step-by-step explanation:

It's going to be COS and since you don't have and angle you are going to click [tex]cos^{-1}[/tex] and then type in 9/18 so it should look like this

[tex]cos^{-1}(9/18) = 60[/tex]

Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

Answer:

Step-by-step explanation:

but is their any answer choices

Answer:

60°

Step-by-step explanation:

90°-30°…

according to your question

Answer:

I need a picture of the figure to do it

Answer:

[tex]M(7 ; 4)[/tex]

Step-by-step explanation:

midpoint -M

[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]

[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]

[tex]M(7 ; 4)[/tex]

Answer:

(7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then

midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )

Step-by-step explanation:

1st expression

= px^4 + px

= px ( x³ + 1 )

= px ( x + 1) (x² - x + 1)

2nd expression

= qx³ - qx

= qx ( x² - 1 )

= qx ( x + 1) ( x - 1)

HCF = x ( x + 1)

Hope it will help :)❤

Answer:

1

Step-by-step explanation:

Answer:

G. 113

Step-by-step explanation:

We know that the diameter = 12, so the radius = 6.

area of circle = πr²

                       = π (6²)

                       = 36π

                       = 113.0973355 . . .

                        ≈ 113 ft²