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4 years ago

What is the value of x? Round your answer to the nearest tenth if necessary.

Mathematics

1 answer:

Lemur [1.5K]4 years ago

7 0

5^2+8^2=X^2
25+64=X^2
89=X^2
SQUARE ROOT OF 89=X
X=9.4

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A is the correct answer

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4 years ago

A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the stic

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Length + width = 1/2 the perimeter:30/2 = 15

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2 years ago

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What is 49 divided by 3 plus 87

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Answer: 103.3

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3 years ago

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One integer is 5 less than another and their product is 84. Find the integers.

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The first integer is going to be x and the second one is going to be y.

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3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

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Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

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$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

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We now differentiate both sides with respect to $t$ to get,

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This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

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4 years ago

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