16 km
12 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
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kilometers

The area of the composite figure is 1152 square meters

A rectangular prism and 2 triangular prisms. The rectangular prism has a length of 20 meters, width of 6 meters, and height of 8 meters. The triangular prisms each have 2 triangular sides with a base of 6 meters and height of 8 meters. The rectangular sides are 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.

The composite figure shown is made up of 2 triangular prisms and one rectangular prism. If the area of each triangle base of the triangular prisms has an area of 24 m2, what is the total surface area of the composite figure?

The given parameters are:

Rectangular prism :

Length = 20 meters; Width = 6 meters; Height = 8 meters

Triangular prism :

The area of the rectangular prism is:

Area = 2 * (Length * Width + Length * Height + Width * Height)

So, we have:

Area = 2 * (20 * 6 + 20 * 8 + 6 * 8)

Area = 656

The area of the triangular prism is:

Area = 2 * Base Area + Areas of Rectangular sides

So, we have:

Area = 2 * 24 + (20 * 6 + 20 * 10 + 20 * 8)

Area = 528

The common area between the prisms is:

Common area = 8 * 4

Common area = 32

Subtract the common area from the sum of the areas of the triangular prism and the rectangular prism to get the area of the composite figure

Composite figure = 656 + 528 - 32

Evaluate the sum

Composite figure = 1152

Hence, the area of the composite figure is 1152 square meters

Read more about areas at:

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Answer: D, 1152 m2

Step-by-step explanation: I got it correct

Answer:

Nice to hear that, congrats with practice 7.3

Answer:

WHAT ARE WE SUPPOSE TO ANSWER...?

Answer:

13?

Step-by-step explanation:

idrk best guess. 26 divided by 2= 13.   11-13 + 2

[tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex]

[tex] \huge\frac{6}{7} [/tex]

step by step Explanation :

= 3 × [tex] \huge\frac{2}{7} [/tex]

= [tex] \huge\frac{6}{7} [/tex]

hope it helps you

Answer:

6/7

Step-by-step explanation:

You multiply 3 by the numerator of the fraction

3 multiplied by 2 is 6

Your answer is 6/7

Answer:

m∠1 = 83

m∠2 = 97

m∠3 = 83

m∠4 = 97

m∠5 = 83

m∠6 = 97

m∠7 = 83

Step-by-step explanation:

When two lines are parallel,

m∠8 = m∠4 = 97 ( Alternate interior angles )

m∠8 = m∠2 = 97 ( Alternate interior angles )

m∠6 = m∠4 = 97 ( Vertically opposite angles )

m∠2 and m∠3 are linear pair angles,

m∠2 + m∠3 = 180

97 + m∠3 = 180

m∠3 = 180 - 97

m∠3 = 83

m∠1 = m∠3 = 83 ( Vertically opposite angles )

m∠3 = m∠7 = 83 ( Alternate interior angles )

m∠7 = m∠5 = 83 ( Vertically opposite angles )

If the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)

If the coordinate (x, y) is reflected over the x-axis, the resulting coordinate will be at (x,-y).

Given the coordinate point (8, -7), if the coordinate is reflected over the x-axis, the resulting coordinate point will be at (8, 7)

Learn more on reflection here: https://brainly.com/question/1908648

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Answer: 160 seconds

Step-by-step explanation:

First let us find the number of seconds per rotation

52 second/65 rotations

52/65

0.8 seconds/1 rotation

0.8 seconds per rotation

Now let us multiply 0.8 by 200 to get our answer

0.8 * 200

160

It takes 160 seconds to do 200 rotations

Answer:

160 seconds

Step-by-step explanation:

We have 65 rotations in 52 seconds, let's represent it like this:

[tex]\frac{52 seconds}{65 rotations}[/tex]

Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:

[tex]\frac{52 seconds}{65 rotations} * 200 rotations[/tex]

See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!

Multiply the above equation and we get:

160 seconds or 2 minutes 40 seconds.

Hope this helps! Good luck and if you have questions please leave them in the comments!

Answer:

y = 5

Step-by-step explanation:

An equation can be written in two forms: point-slope form or slope-intercept form.

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = 0(x - (-4))

Simplify.

y - 5 = 0(x + 4)

y - 5 = 0

y = 5

This is your equation.

Let's now represent this in slope-intercept form.

The standard equation is

y = mx + b

Plug in what you know.

5 = 0(-4) + b

Simplify.

5 = 0 + b

5 = b

Therefore,

y = 0x + 5 or y = 5

Hope this helps!

Learn with another example:

brainly.com/question/24436844

A) Right Angle Triangle

B) 25 units²

C) (15 + 5√5) units

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between C and A

[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]

Distance between C and T

[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]

Distance between A and T

[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]

Part A:

When drawn on graph, we can identify it is a right angle triangle.

Or use Pythagoras Theorem:

10² + 5² = (5√5)²

125 = 125... Hence it is a right angle triangle confirmed.

Part B:

Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²

Part C:

Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units

Answer:

6

Step-by-step explanation:

The sides are in proportion.

Answer:

$42.78

Step-by-step explanation:

explanation is on the picture

The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.

It follows from the task content that the graph which has been shifted vertically is to be identified.

For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.

Read more on function shift;

https://brainly.com/question/23919891

Answer:

29/4

Step-by-step explanation:

7/1/4 = 7 1/4 = (4/4 x 7) + 1/4 = 28/4 + 1/4 = (28/4 + 1)4 = 29/4

The quick rule is:

Multiply the integer by the denominator: 7 x 4 = 28

Add the numerator to this product: 28 + 1 = 29

Put this result over the denominator: 29/4

Answer:

16 girls.

Step-by-step explanation:

Ignoring for a second the strict gender binary here, let's break down what this problem is telling us. A ratio of 3 boys to 4 girls means that for every 3 + 4 = 7 students, 3 are boys and 4 are girls. A class of 28 students is 4 times bigger than 7, so we can multiply each number in the ratio by 4 to get the count for this larger class. Doing that math, we find 3 · 4 = 12 boys and 4 · 4 = 16 girls.

c=8

Step-by-step explanation:

13-5=c, c=8

Answer:

circumference: 17 x 2 = 34

Area:  3.14 x 8.5^2 = 226.865

Answer:

circumfrence: ≈53.40708 area:≈226.98007

Step-by-step explanation:

For area, the formula is A=πr^2, so first divide the diameter (17) by 2 to get the radius which is 8.5

square 8.5 and then multiply by pi

plug everything in to get ≈226.98007

For circumfrence the formula is πd, so multiply 17 by pi

plug everything in to get ≈53.40708

Answer:

A term is a single number or variable, in this case, the number 2.

The sum in this equation would be 4x + 2.

The product is the result of multiplication, in this equation, the result of 5(4x + 2).

The factors are the digits that are being multiplied, in this case, 5 & 4x + 2

The quotient is the result of a division, in this case, the result of (4x + 2) / 7y.

A coefficient is a number that is being multiplied by a variable, in this case, 4 & y.

Answer:

Step-by-step explanation:

draw ⊥ from B cutting  AC.

let it be D.

[tex]\frac{BD}{BC} =sin 30\\BD=\frac{1}{2} \times BC=\frac{1}{2} \times 2x=x\\area=\frac{1}{2} \times 3x \times BD=\frac{1}{2} \times 3x \times x\\T=\frac{3x^2}{2} \\2T=3x^{2} \\x^{2} =\frac{2T}{3} \\x=\sqrt{\frac{2T}{3} }[/tex]

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]

Answer:

The arrangements of things following one after another in time

Answer:

When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).

In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.

E' = (-8,6)   ---->   (6,8)

F' = (-8, 10)   ---->   (10,8)

G' = (-3, 10)   ---->   (10,3)

H' = (-3, 6)   ---->   (6,3)

Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day

Answer:

Step-by-step explanation:

full price of the phone in terms of percentage

= 100%

percentage discount = (100-35)% = 65%

let the price of the phone before discount= X

therefore,

65%-----------78

100%----------X

cross multiplying

65×X = 100×78

dividing bothsides by X

X = 100×78/65

X = 7800/65

X = 120

price of the phone before discount=€120

Answer:

  0.16 liters of water

Step-by-step explanation:

Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.

The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.

Samantha will use 0.16 liters of water to make 0.48 liters of solution.

__

Alternate solution

The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.

Answer:

0.16L

Step-by-step explanation:

Answer: E ; (0,12) , (9,0)

Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.

Find A' is use A 's coordinate.  A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12

A' coordinates are : (0,12)

Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0

C' coordinates are : (9,0)