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worty [1.4K]
3 years ago
9

A square pyramid has base edge length 6 ft. The slant height of the pyramid is 5 ft. What is the volume of the​ pyramid?

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

Answer:

V = 60 m3

Step-by-step explanation:

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

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What is 25% Of 30% Of 400?
marta [7]

Answer:

25% of 30% of 400 = 30

33% decrease in value

Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

25% of 120 = .25 of 120 = .25 * 120 = 30

Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30

5.) To find the percentage  of the new price, you can build the equation below.

\frac{new price}{original price} = \frac{percent}{100}

\frac{200,000}{300,000}  = \frac{x}{100}

20,000,000 = 300,000x

x = 66.667

The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

3 0
3 years ago
Express ratio as a fraction in simplest form
Zanzabum

Answer:

\frac{3}{1}

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = \frac{30}{10} = \frac{3}{1}

6 0
3 years ago
What value of x makes the equation 5(4x - 1)=4(2.5x+8) true?
monitta

Answer:

37/10

( I hope this was helpful) >;D

7 0
3 years ago
Read 2 more answers
How can I solve ¾ - (-5/12)?
Oksana_A [137]

Answer:

1 \frac{1}{6}

Step-by-step explanation:

\frac{3}{4}+ \frac{5}{12} =?\\

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

(\frac{3}{4} × \frac{3}{3} ) + (\frac{5}{12} ×\frac{1}{1})=?

Complete the multiplication and the equation becomes

\frac{9}{12} + \frac{5}{12}

The two fractions now have like denominators so you can add the numerators.

\frac{9+5}{12} = \frac{14}{12}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= 1 \frac{1}{6}

Therefore:

3/4 − (−5/12) = 1 \frac{1}{6}

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= 1 \frac{1}{6}

Therefore:

3/4 − (-5/12) = 1 \frac{1}{6}

8 0
1 year ago
Let ƒ(x) = 5x − l and g(x) = x2 - 1. find (f ○ g)(−7)
attashe74 [19]

Answer:

240

Step-by-step explanation:

5(x² - 1)

5 ((-7)² - 1)

5(49 - 1)

5 (48)

4 0
3 years ago
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