solve for x. topic: pythagorean theorem

Answer:

84,000 cm³

Step-by-step explanation:

This is a prism with a trapezoidal base.

V = BH

where V = volume of prism, B = area of the base, H = height of the prism

For the trapezoid, the area is

A = ½(b1 + b2)h,

where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.

V = ½(b1 + b2)hH

V = ½(60 cm + 45 cm) (20 cm)(80 cm)

V = 84,000 cm³

Answer:

We observe that this is a GP  with:

The nth term is:

Answer:

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

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Answer:

  A

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

  x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

Additional comment

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

Step-by-step explanation:

the product is

2³ x n²

sorry but I don't get your question

Step-by-step explanation:

it is equal to 8n2 that is the answer

Answer:

8.6 years

Step-by-step explanation:

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

[tex]y = 9x + 5[/tex]

Exchanging x and y:

[tex]x = 9y + 5[/tex]

Isolating y:

[tex]9y = x - 5[/tex]

[tex]y = \frac{x - 5}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Answer:

110 degrees

Step-by-step explanation:

the answer is 110 degrees

add up everything and subtract it by 360 to get 110.

plz dont report. Can I have brainliest. I need it.

Answer:

we will add all the sides

40+128+×+82=360

250+×=360

×=360-250

x=110

Answer:

option A

A(-2,-3)

Step-by-step explanation:

make y subject of formula

x+2y=-8

2y=-8-x

y=(-8-x)/2

y=-4-x/2

when x=-2

y=-4-(-2)/2

=-4-(-1)

=-4+1

=-3

(-2,-3) is an ordered pair

Answer:

[tex](a)\ Mean = 80kg[/tex]

[tex](b)\ Median = 76kg[/tex]

[tex](c)\ Mode = 61kg[/tex]

Step-by-step explanation:

Given

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

[tex]n = 9[/tex]

Solving (a): The mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]

[tex]\bar x = \frac{720kg}{9}[/tex]

[tex]\bar x = 80kg[/tex]

Hence:

[tex]Mean = 80kg[/tex]

Solving (b): The median

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

Arrange in ascending order

[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]

[tex]n = 9[/tex]

So, the position of the median element is:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{9+1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The 5th element is 76kg

Hence:

[tex]Median = 76kg[/tex]

Solving (c): The mode

In the given data

[tex]Mode = 61kg[/tex]

Because it has a frequency of 2 (the highest), others have 1

Answer:

if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars

Step-by-step explanation:

hope this helps

Answer:

73

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

Answer:

Step-by-step explanation:

1,2,3,4,6,9,12,18,36

Answer:

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Step-by-step explanation:

Answer:

12, 14, and 16

Step-by-step explanation:

Assume

1st number: x

2nd number: x+2

3rd number: x+4

(I'm adding 2 for each number because even numbers skip by 2)

The numbers add to 42, so

x+(x+2)+(x+4)=42

x+x+2+x+4=42

3x+6=42

3x=36

x=12

1st number: 12

2nd number: 12+2=14

3rd number: 12+4=16

12, 14, and 16

Answer:

C, 0.30

Step-by-step explanation:

First, simplify.

[tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex]

Next, divide

3 ÷ 10 = 0.30 or 0.3

Have a great day!

Answer:

Step-by-step explanation:

Given that:

To Find:

We know that:

Where,

Finding the probability that a car arriving at this intersection will not fully stop:

⟶ P(E) = 15/50

Multiply by 2 with both numerator and denominator.

⟶ P(E) = (15 × 2)/(50 × 2)

⟶ P(E) = 30/100

⟶ P(E) = 0.30

Hence,

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Answer:

  L'(4, -3)

Step-by-step explanation:

The reflection over the horizontal line y=-1 effects the transformation ...

  (x, y) ⇒ (x, -2-y)

So, the coordinates of L are transformed to ..

  L(4, 1) ⇒ L'(4, -2-1) = L'(4, -3)

Answer:

48 minutes

Step-by-step explanation:

Multiply

Answer:

The corn plant grew by 11.17 inches during week 2.

Step-by-step explanation:

7 and 1/3 inches tall at the end of Week 1.

The height at the end of week 1, as a simple fraction, is:

[tex]7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}[/tex]

The corn plant was 18 1/2 inches tall at the end of Week 2.

At the end of week 2, the height will be of:

[tex]18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}[/tex]

How many inches did the corn plant grow during Week 2?

Height at the end of week 2 subtracted by the height at the end of week 1. So

[tex]\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17[/tex]

The corn plant grew by 11.17 inches during week 2.

Answer:

2 3/4

Step-by-step explanation:

Answer:

$171.72

Step-by-step explanation:

$9.54 x 18

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Answer:

The volume of the cylinder is 6,104.16 square meters.

Step-by-step explanation:

Given that a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height, to determine, using 3.14 for pi, which of the following can be used to calculate the volume of the cylinder, the following calculation must be done, knowing that the volume of a cylinder is determined by multiplying Pi by the height by the radius squared, and that the diameter of a circle is twice its radius:

3.14 x 6 x (6x3) ^ 2 = X

18.84 x 18 ^ 2 = X

18.84 x 324 = X

6,104.16 = X

Therefore, the volume of the cylinder is 6,104.16 square meters.

Answer:

(3.14)(18m)2(6m)

Step-by-step explanation:

I took the test

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Answer:

  ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

  MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

  MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1