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Leona [35]
3 years ago
11

Brainliest for correct answer.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

a

Step-by-step explanation:

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A cone is cut into a cube as shown below. If the cone has a diameter of
Butoxors [25]

Answer:

184.43in².

Step-by-step explanation:

Total surface area of the solid = volume of the cube - the volume of the cone

For the CUBE;

Volume of the cube = L³ where L is the length of one side of the cube.

Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.

Volume of the cube = 6³ = 216in³

For the CONE;

Volume of the cone = 1/3 πr²h

r is the radius of the cone = diameter/2

r = 6/2 = 3in

slant height l = 4.5in

the height h of the cone will be derived using the Pythagoras theorem.

l² = h²+r²

4.5² = h²+3²

h² = 4.5²-3²

h² = 11.25

h=√11.25

h = 3.35in

Volume of the cone = 1/3 × π × 3²× 3.35

= 31.57in³

Total surface area of the solid = 216in³-31.57in³

= 184.43in²

3 0
3 years ago
Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will
Feliz [49]

Answer:

W \le 6

Step-by-step explanation:

Given

Area = 60ft^2\ (max)

Length = 10ft

Required

Represent the width as an inequality

First, we represent the area as an inequality.

Area = 60ft^2\ (max)

max as used above means less than or equal to.

So, we have:

Area \le 60

The area of a rectangle is:

Area = L * W

So, we have:

L * W \le 60

Substitute 10 for L

10 * W \le 60

Divide both sides by 10

\frac{10 * W}{10} \le \frac{60}{10}

W \le \frac{60}{10}

W \le 6

7 0
3 years ago
Try your best Look at photo for question
Mashcka [7]
Distribute the five to [3q-10]
Combine like terms [15q] and [-5q]
Add 50 on each side
Divide by 10 on each side
Simplify

3 0
3 years ago
Read 2 more answers
Find the inverse of y=-3x+6
mihalych1998 [28]

Answer:

y = (x – 6) / -3 = [2 – x/3]

Step-by-step explanation:

y = f(x) = -3x + 6

f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3

5 0
3 years ago
Help
grin007 [14]

Answer:

because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.

Step-by-step explanation:

because all triangle's interior angles add up to 180 degrees so and angles 8 and 9 are supplementary. Angle 9 is 77 degrees.

6 0
3 years ago
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