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3 years ago

If the ratio of the radii of two spheres is 2:3, the ratio of their surface areas will be 8:27.

1 answer:

4 0

The ratio of 2 similar areas is the square of the ratio of their RADIUS or (sides)
R²=(2/3)² = 4/9 This should be the answer

Whereas R³ = (2/3)³ = 8/27 is the ratio of their volume & not area

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Find the value of tan 19° to the nearest ten-thousandth.

gogolik [260]

Answer:

tan 19° = 0.3443

Step-by-step explanation:

Value Of Trigonometric Functions

The value of the tangent of 19° cannot be expressed in exact form, that it, as a function of radicals or known constants as pi.

We need to use a calculator, computer, or similar technology to find the required value. We use a scientific calculator to get:

tan 19° = 0.3443

To the nearest ten-thousandth

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2 years ago

What types of angles are <4 and <5?

alexandr1967 [171]

Answer: Alternate interior angles

Step-by-step explanation:

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2 years ago

A number decreased by the difference between eight and the number

maksim [4K]

X - (8 - x), if x is your number

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3 years ago

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Estimate: 37 is 60% of what number? 22 B 6 60 2,220

nikitadnepr [17]

Answer:

Step-by-step explanation:

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2 years ago

Given the relation x = y 4 − 9 y 2, identify the x- and y- axis intercepts.

Svetlanka [38]

The x-intercepts are $(0,0)$

The y-intercepts are $(0,0),(0,3),(0,-3)$

Explanation:

The relation is $x=y^{4} -9y^{2}$

To find the x-intercept, let us substitute $y=0$ in the equation $x=y^{4} -9y^{2}$ , we get,

$x=(0)^{4} -9(0)^{2} \\x=0$

Thus, the x-intercepts are $(0,0)$

To find the y-intercept, let us substitute $x=0$ in the equation $x=y^{4} -9y^{2}$ , we get,

$0=y^{4}-9 y^{2}$

let us switch sides and solving, we get,

$\begin{aligned}y^{4}-9 y^{2} &=0 \\y^{2}\left(y^{2}-9\right) &=0 \\y^{2} &=0, y^{2}-9=0\end{aligned}$

Taking square root,

$y=0$ and $\begin{aligned}y^{2}-9 &=0 \\y^{2} &=9 \\y &=\pm 3\end{aligned}$

Thus, the y-intercepts are $(0,0),(0,3),(0,-3)$

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3 years ago