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2 years ago

What is the surface area of the cube? A. 729 mm2 B. 486 mm2 C. 324 mm2 D. 81 mm2

1 answer:

4 0

The answer is B. 486 for sure because if you plug in the formula S=P*h+2(B)
p=36
h=9
B=81
then you just have to plug it in to the formula which is
S=36*9 + 2(81)
324+162= 486
i hope i helped you have a great day.

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$56.25

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1 year ago

Find RS. A. 5 B. 10 C. 9 D. 12

777dan777 [17]

Answer:

x=9

Step-by-step explanation:

PQ + QR + RS = PS

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3x -9 = 18

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2 years ago

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If the data for the heights of players on a basketball team is skewed right, which statistical measure represents the spread of

mestny [16]

Answer:

Median

Step-by-step explanation:

I know that you can't do Range, since it's skewed right.

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1 year ago

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The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate

soldi70 [24.7K]

Answer:

a) $V = 33510.322\,in^{3}$ , b) $A_{s} = 5026.548\,in^{2}$ , c) $\% V = 0.450\,\%$ , $\%A_{s} = 0.300\,\%$ .

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

$V = \frac{4}{3}\pi \cdot r^{3}$

$A_{s} = 4\pi \cdot r^{2}$

a) The volume of the sphere is:

$V = \frac{4}{3}\pi \cdot (20\,in)^{3}$

$V = 33510.322\,in^{3}$

b) The surface area of the sphere is:

$A_{s} = 4\pi \cdot (20\,in)^{2}$

$A_{s} = 5026.548\,in^{2}$

c) The total differentials for volume and surface area of the sphere are, respectively:

$\Delta V = 4\pi\cdot r^{2}\,\Delta r$

$\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)$

$\Delta V = 150.796\,in^{3}$

$\Delta A_{s} = 8\pi\cdot r \,\Delta r$

$\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)$

$\Delta A_{s} = 15.080\,in^{2}$

Relative errors are presented hereafter:

$\%V = \frac{\Delta V}{V}\times 100\%$

$\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%$

$\% V = 0.450\,\%$

$\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%$

$\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%$

$\%A_{s} = 0.300\,\%$

4 0

2 years ago

In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

monitta

<u>Answer:</u> The ratio that represents the cosine of ∠T is $\frac{56}{65}$

<u>Step-by-step explanation:</u>

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

$\cos \theta=\frac{\text{base}}{\text{hypotenuse}}$

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

$\cos \theta=\frac{UV}{TU}=\frac{56}{65}$

Hence, the ratio that represents the cosine of ∠T is $\frac{56}{65}$

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2 years ago