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Llana [10]
3 years ago
6

The mass of an object is equal to the product of the objects density and volume. The density of copper is 8.94 grams per cubic c

entimeter. A sheet of copper has a mass of 5.5 kilograms. What is the volume to the nearest tenth of a cubic centimeter.
A) 1.6 cm cubed
B) 49.2 cm cubed
C) 615.2 cm cubed
D) 49,170 cm cubed
Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

Answer:

C)615.2 cm cubed

Step-by-step explanation:

Given:

Mass=density* volume

Density of copper= 8.94 g/cm^3

Mass of copper= 5.5 kg

                        =5500 g

Volume of copper= Mass/density

                              =5500/8.94

                              =615.2 cm^3 !

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debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
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Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

2220.201(1.005)^3=1304.70

Then the size of the final payment would be $1,304.70

5 0
3 years ago
1 pt) find the average rate of change of the function over the given intervals. h(t)=\cot (t);
blondinia [14]

\text{Consider the function}\\
\\
h(t)=\cot(t) \text{ on the interval }\left [ \frac{\pi}{4}, \ \frac{3\pi}{4} \right ]\\
\\
\text{we know that the average rate of change of a funtion f(x) over the }\\
\text{interval [a, b] is given by}\\
\\
f_{avg}=\frac{f(b)-f(a)}{b-a}\\
\\
\text{so using this, the average rate of change of the given function is}

h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\
\\
=\frac{\cot \left ( \frac{3\pi}{4} \right )-\cot \left ( \frac{\pi}{4} \right )}{\frac{3\pi-\pi}{4}}\\
\\
=\frac{(-1)-(1)}{\frac{2\pi}{4}}\\
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=\frac{-2}{\frac{\pi}{2}}\\
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\text{Average rate of change of function}=\frac{-4}{\pi}

6 0
3 years ago
Doug read 231 pages in 7 hours.he read the same number of pages each hour.how many pages did he read in 1 hour
tino4ka555 [31]

If we let p be the number of pages read in 1 hour, then in 7 hours Doug reads 7p pages. We know that this number of pages is 231, so we have

7p=231 \iff p = \dfrac{231}{7} = 33

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3 years ago
I need help please ?!!!!
Alecsey [184]

Answer:

89

Step-by-step explanation:

= √ 64 +9²

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7 0
3 years ago
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Please help I really need it​
yawa3891 [41]

Answer: m< MIH is 34°

M< AVM is 70°

And the angle of the obtuse angle formed at the intersection of AV and HI is 104°

Step-by-step explanation: starting with m<MIH, AH is parallel to MI, so that would make the same angle H has the same for I. (34°)

Next is m<AVM. The angle of m<LAH is 110°. So the angle of m<HAV (because it's supplementary of it) is 70 (110+70=180). Which makes m<AVM 70° since it's vertical to each other.

Since we got those answers, the next one you just plug it in, and the answer would be 104°

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