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3 years ago

If the volume is 400 in. cubed and height is 5 in. The width is 8 in. What is the length

Mathematics

1 answer:

makvit [3.9K]3 years ago

6 0

Answer:

its 10 in

Step-by-step explanation:

∵∴∵∴∵∴∵∴∵

⊕ΘΞΠΤ⊕

∵∴∵∴∵∴∵∴∵

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Rzqust [24]

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3 years ago

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joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

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3 years ago

Help me... I don't really understand and need an explanation

ehidna [41]

Answer:

x=17

Step-by-step explanation:

This should be for a "kite": AD=DC, AB=BC and ∠A=∠C

8x-27 = 3x+58

5x = 85

x = 17

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2 years ago

3,1,2,2,3,2,6,4 ayuda con esto

zalisa [80]

Answer:

Step-by-step explanation:

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3 years ago

a rectanglar solid has a base with lint 2 cm and width 8 cm. If the volume of the solid is 106 cm 3 to the highest, find the hei

Vanyuwa [196]

The hint says that volume of a rectangular solid = l*w*h, where l = length, w = width, and h = height. Use this to solve for the height of the solid by plugging in the numbers you know.

You know that length, l = 2cm, width, w = 8cm, and, *EDITED* volume = 160 cm^3. Plug these values into the equation for volume (the hint) and solve for h, the height:
Volume = lwh
160 = (2)(8)(h)
160 = 16h
h = 10cm

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Answer: The height is 10 cm

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3 years ago

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