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3 years ago

What is the total area of the glass in the pyramid arena? Explain how you got the answer please.

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

8 0

Answer:

A(total) = 528,000 feet^2

Step-by-step explanation:

The slant height of each of the four triangular sides is given and is 440 feet. The length of the base of each is 600 feet. We apply the formula for the area of a triangle, which is A = (1/2)(base)(height):

Area of one triangular side: A = (1/2)(600 feet)(440 feet) = 132,000 feet^2.

The total glass area of the pyramid is thus four times this, or

A(total) = 528,000 feet^2

Blababa [14]3 years ago

5 0

Answer: 888,000

Step-by-step explanation:

Base: 600 x 600 = 360,000

600 x 440 x 2 (there is 4 triangles and 2 makes 1 square. So there is 2 pairs so times 2)= 528,000

360,000 + 528,000= 888,000

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Solve 4(x + 2) = 20

KiRa [710]

Answer:

x = 3

Explanation:

$\sf 4(x + 2) = 20$

$\sf 4x + 8 = 20$

$\sf 4x = 20 - 8$

$\sf 4x = 12$

$\sf x = \frac{12}{4}$

$\sf x = 3$

check:

4(x + 2) = 20

4(3 + 2) = 20

4(5) = 20

20 = 20

Hence proved x = 3

4 0

2 years ago

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The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dol

Harlamova29_29 [7]

$268.00 base price
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3 0

2 years ago

In a bag of m&m's there are 5 brown 6 yellow 4 blue 3 green and 2 orange. What's the probability of getting 3 yellow m&m

olasank [31]

There are 5+6+4+3+2=20 m&m's in the bag.
Calculate in how many ways you can choose 3 m&m's from 20:
$_{20} C _3=\frac{20!}{3!(20-3)!}=\frac{20!}{3! \times 17!}=\frac{17! \times 18 \times 19 \times 20}{6 \times 17!}=\frac{18 \times 19 \times 20}{6}=3 \times 19 \times 20= \\
=1140$

There are 6 yellow m&m's.
Calculate in how many ways you can choose 3 m&m's from 6:
$_6 C _3 = \frac{6!}{3!(6-3)!}=\frac{6!}{3! \times 3!}=\frac{3! \times 4 \times 5 \times 6}{3! \times 6}=\frac{4 \times 5 \times 6}{6}=4 \times 5=20$

The probability is the number of ways of choosing 3 m&m's from 6 m&m's divided by the number of ways of choosing 3 m&m's from 20 m&m's.
$P=
\frac{20}{1140}=\frac{20 \div 20}{1140 \div 20}=\frac{1}{57}$

The probability is 1/57.

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3 years ago

-2y^2-19y+33 trail and error

Alexandra [31]

Answer: (-2y+3)(y+11)

Step-by-step explanation:

33 is 3×11 so expect something like

(y+3)(y+11) = y^2+14y+33

leading term has coefficient -2 so

one factor is like (-2y+__)

Try (-2y+3)(y+11) = -2y^2-19y+33

which happens to be the answer

7 0

3 years ago

How to solve for y 3y=2x+15

SVEN [57.7K]

Answer:

y = (2x + 15)/3

Step-by-step explanation:

3y = 2x + 15

Divide both sides by 3,

3y/3 = 2x/3 + 15/3

Simplify,

y = (2x + 15)/3

8 0

2 years ago