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3 years ago

Rectangular pyramid:volume 448 inches cubed, base edge 12 inches.;base length 8 inches

Mathematics

1 answer:

saw5 [17]3 years ago

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The sum a 8 and a number h is 12

Artyom0805 [142]

H would equal to 4 (8+4=12)

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3 years ago

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Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Flura [38]

Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

$=8$

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

3 0

3 years ago

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Check my answer? The two triangles are similar. What is the value of x? 5.

Nikolay [14]

20/28 = 3x / (4x + 2)

84x = 20(4x + 2)
84x - 80x = 40
4x = 40
x = 10

so the 2 lines are equal to 30 and 42

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3 years ago

EASY 100 POINTS WILL MARK BRAINIEST!!!!!

sesenic [268]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Trust me :)

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3 years ago

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The area of a rectangle is represented by x^2- 7x + 10. What are the missing side lengths of the rectangle?

ladessa [460]

Length = x - 2
Width = x - 5

Explanation:

Area = x^2 - 7x + 10
Area = (x - 2)(x - 5)
Area = Length x Width

Length = x - 2
Width = x - 5

4 0

3 years ago