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borishaifa [10]
3 years ago
11

Need help ASAP !!! And show work please

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

\sqrt{40} or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}

or 6.32

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Write 27/22 as a decimal rounded to the nearest tenth? ​
Verizon [17]

Answer:

1.2

Step-by-step explanation:

7 0
3 years ago
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The area of the top face of a cube is 16 square inches. Use 8 of these cubes to make a rectangular
KengaRu [80]

Answer:

The volume of the rectangular prism is 512 inches³

Step-by-step explanation:

Any cube has 6 square faces

Area of any square = L × L, where L is a length of each side

The volume of the cube = L × L × L

∵ The area of the top face of a cube = 16 inches²

→ Find which number multiply by itself = 16

∵ 16 = L × L

∵ 16 = 4 × 4

∴ L = 4 inches

Let us find the volume of 1 cube

∵ The volume of the cube = L × L × L

∵ L = 4 inches

∴ The volume of each cube = 4 × 4 × 4

∴ The volume of each cube = 64 inches³

∵ We will use 8 of this cube to make a rectangular prism

→ That means the volume of the rectangular prism is 8 times

   the volume of 1 cube

∴ The volume of the prism = 8 × volume of 1 cube

∵ The volume of each cube = 64 inches³

∴ The volume of the prism = 8 × 64

∴ The volume of the prism = 512 inches³

The volume of the rectangular prism is 512 inches³

5 0
3 years ago
What is the length of segment AC?<br><br> (Picture attached)
natka813 [3]
6^2 + 8^2 = c^2. \newline&#10;36 + 64 = c^2. \newline&#10;c = \pm10 \Rightarrow AC = 10.
8 0
3 years ago
Solve using the substitution method -7x+y =42 and 5x+13y =66
leva [86]
-7x+y=42
y=42+7x 

5x+13y=66
Substitute for y (meaning put 42+7x into the equation above instead of y because they are equal - see second line of my answer above)

5x+13[42+7x]  = 66
5x +546 = 66
5x=66-546
5x=-480
x=-480/5
x=-96

5 0
3 years ago
What is the perimeter and area of the photo below? And please show me how you did it. I need it for a school math group, and I’m
adoni [48]

Answer:

Assuming the area is made up of a square and a semicircle.

<u>Perimeter</u>

The side length of the square = 18 ft

We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).

⇒ perimeter of the square = (3 x 18) + (18 - 12)

                                                          = 54 + 6

                                                          = 60 ft

Circumference of a circle = \pid (where d is the diameter)

⇒ arc length of the semicircle = 1/2 circumference

                                                  = 1/2 · \pi · 12

                                                  = 6\pi ft

Total perimeter = 60 + 6\pi = 78.8 ft (nearest tenth)

<u>Area</u>

Area of a square = s² (where s is the side length)

⇒ area of square = 18²

                             = 324 ft²

Diameter = 2r  ⇒  r = 1/2 diameter

Area of a circle = \pir²  (where r is the radius)

⇒ area of the semicircle = 1/2 · \pi · 6²

                                         = 18\pi ft²

Total area = 324 + 18\pi = 380.5 ft² (nearest tenth)

6 0
2 years ago
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