Evaluate the expression
1/5^−3⋅1/5^6

Answer:

32π + 96 [tex]cm^{2}[/tex] = exact area

196.48 [tex]cm^{2}[/tex] = area to the nearest 100th

Step-by-step explanation:

Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 [tex]cm^{2}[/tex]

or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]

32π + 96 cm²  = exact area

196.48 cm²  = area to the nearest 100th

A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.

Given

Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π

Area of triangle = 1/2bh = 1/2(16)(12) = 96

Total area =  32π + 96 cm²

or 100.48 + 96 = 196.48 cm²

To know more about semi-circles refer to:

https://brainly.com/question/10653168

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Answer:

27 and 50

Step-by-step explanation:

they are both greater than the original side length of 20

Answer:

i am sorry i can not see it

Step-by-step explanation:

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Answer:

Andrew has 22 puppies, Carla has 7 puppies.

Step-by-step explanation:

Let's set up an equation.

Carla and Andrew have 29 puppies.

C + A = 29

Andrew has 8 more than twice Carla.

A = 2C + 8

Let's use substitution by plugging A into C + A = 29.

A = 2C + 8 & C + A = 29

C + (2C + 8) = 29

Now, let's combine like terms.

3C + 8 = 29

Subtract 8 from both sides.

3C = 21

Divide both sides by 3.

C = 7

Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.

C + A = 29

7 + A = 29

A = 22

Andrew has 22 puppies.

Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.

C + A = 29

7 + 22 = 29

29 = 29

Correct!

A = 2C + 8

22 = 2(7) + 8

22 = 14 + 8

22 = 22

Your answer is correct!

Hope this helps!

Answer:

a:  11:7

b: 11:

I hope this helped :)

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

Answer:

X

Step-by-step explanation:

Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side

So, for 20/22; 20

is the opposite while 22 is the adjacent

The opposite side simply refers to the side that faces the given angle

We have the opposite side here as facing the angle X and that makes X the correct answer

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

30m²

Step-by-step explanation:

To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.

a² + b² = c²

5² + 12² = 169

13² = 169

By converse of Pythagoras Theorem, the triangle is a right-angled triangle.

Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.

Area = 12 × 5 ÷ 2

        = 30m²

Answer:

80 2

Step-by-step explanation:

am not sure about that answer i think it is correct

Answer:

40

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2 : with a₁ = 3

Answer: d is 53 degrees, c is 5, g is 13, e is 90 degrees, f is 37 degrees, b is 12 .

Step-by-step explanation:

Since they're congruent you just compare the two and replace them. You have the answers on both sides, they're just split up. So look at one side, then the other, and see what you can find. Repeat.

Answer and Step-by-step explanation:

Since the triangles are congruent, that means all the variables correspond to the values of the other triangle, and vise versa.

g = 13

b = 12

f = 37

a = 90

c = 5

d = 53

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

A

Step-by-step explanation:

you don’t make money for working 0 hours

Answer:

A

Step-by-step explanation:

If you multiply the number of hours by 11, you get the correct amount of earnings ($)

the answer to the problem is:

M = 1

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3

slant height is

[tex]\sqrt{r^2+h^2}[/tex]

h is 4.7 and r is 3

[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]

slant height is 5.58427

lateral surface area

[tex]\pi r\sqrt{h^2+r^2}[/tex]

[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]

lateral surface area is 52.63053

total surface area

[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]

[tex]80.90486[/tex]

total surface area is 80.90486

The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

In the given question radius of the cone is (6/2) km = 3 km.

The slant height of the cone is 5.6 km.

The total surface area of the cone is = π×3(3 + 5.6) km.

= 3π(16.8) km.

= 50.4π km.

lateral surface area is = π×3×5.6 km.

= 16.8π km.

learn more about cones here :

https://brainly.com/question/23863102

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Answer:

6.3 cm^3

Step-by-step explanation:

volume of a pyramid = 1/3(length x width x height)

perimeter of a square = 4 x length

6.9 = 4 x length

length = 6.9 /4 = 1.725

Volume = 1/3 x (1.725 x 1.725 x 6.4) = 6.348

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

5^8/5^x=5^6 the asnwer is 2

Answer:

Step-by-step explanation:

point-slope equation looks like  y-y1 = m(x-x1)

plug in the given point for x and y.... and the slope for m

y-9 = 3/2(x-6)

y-9 = 3/2x - 9

y = 3/2x

Answer:

r = 4.24 inches

Step-by-step explanation:

Given that,

The surface area of the ball, A = 226.8 sq inches

The formula for the surface area of a sphere is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the ball

[tex]r=\sqrt{\dfrac{A}{4\pi}} \\\\r=\sqrt{\dfrac{226.8}{4\pi}} \\\\r=4.24\ inch[/tex]

So, the radius of the ball is 4.24 inches.

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

First, you would plot the point (-2,-5). The next part requires an understanding of what slope is. My teacher told me slope was "rise over run." Basically, the numerator is how much the value of y increases when x increases by the number that's in the denominator. What that means is, when you add 7 to the x value, you add 2 to the y value. You can use this to find another point to graph.

(-2+7,-5+2)

=(5,3)

You can plot this point and draw a line through both points, and you're finished.

Another thing could do is draw a slope triangle. Draw a line (segment) from (-2,-5) for 7 units in the direction of the x-axis. Draw a line (again, a segment, really. We have to be technical xD) from where that segment ends for 2 units in the direction of the y-axis. Plot a point where that ends, and it should be (5,3). Draw a line through (5,3) and (-2,5), and you're done.

Hope I could help you!

Answer:

-3

Step-by-step explanation:

-3x+1=10

-3x=9

x=-3

Answer:

-3

Step-by-step explanation:

-3(-3)+1=10 hope this helped?

Answer:

65°

Step-by-step explanation:

81°+124°+90° (right angle) = 295

360-295 = 65°

Step-by-step explanation:

[tex] \frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81[/tex]

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)

Answer:

[tex]the \: third \: answer \: is \: correct[/tex]

Answer:

y = (x + 1)^2 + 2

Step-by-step explanation:

The graph is 2 units up and 1 unit to the left

a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right

Answer:

1) 28

2) 28

B) 1 and 1/2 hr

Answer:

-3

Step-by-step explanation:

3 cubed is 27 and since its a negative integer you keep the (-) symbol.

The would have been 3 if it asked for the negative cube root of -27