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WINSTONCH [101]
3 years ago
14

Ellus What is the measure of z? 4 16 z X Z = ✓ [?]

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

z=\sqrt{80}

Step-by-step explanation:

By geometric mean property:

y= \sqrt {16\times 4}

y= \sqrt {64}

y= 8

By Pythagoras Theorem:

z=\sqrt{4^2 +8^2}

z=\sqrt{16 + 64}

z=\sqrt{80}

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What is the volume of the sphere? Round your answer to the nearest tenth.
pentagon [3]

Answer:

2,144.7

Step-by-step explanation:

The formula for the volume of a sphere is V=4pi r^3/3. Lets apply this formula for your sphere. The radius is 8, so lets plug in 8 in our formula. 4pi 8^3/3. Now, lets solve. 4 times pi. What is pi? We usually think of pi as 3.14. 4x3.14 is 12.56. Now, lets do 8^3/3. 8 times 3 is 512, and divided by 3 is 170.67. Alright, now we have 12.56 times 170.67. That is 2144.7 rounded to the nearest tenth.

4 0
3 years ago
How much longer will it take a car traveling at an average speed for 2 miles per hour to make the trip from San francisco to New
lbvjy [14]

Answer:

1445.6 hours

Step-by-step explanation:

Distance between New York and San Francisco = 2902.8 miles (checked online)

Average speed of car = 2 mi/hr

Average speed of jet = 500 mi/hr

Time taken by Jet:

Time taken = Distance / speed

Time taken = 2902.8 / 500

Time taken = 5.8056 = 5.8 hours

Time taken by Car :

Time taken = Distance / speed

Time taken = 2902.8 / 2

Time taken = 5.8056 = 1451.4 hours

Time difference :

1451.4 - 5.8 = 1445.6 hours

7 0
2 years ago
Which has a different answer? A. 7 + 2 - 4 , B. 2 + 7 - 4 , C. 7 - 4 + 2 , D. 4 + 7 - 2
Sindrei [870]

Answer:

d) 4 + 7 - 2

Step-by-step explanation:

7 + 2 - 4 = 5

2 + 7 - 4 = 5

7 - 4 + 2 = 5

4 + 7 - 2 = 9

5 0
2 years ago
Find the total amount due on a simple-interest loan if the principal is $3000 with a rate of 5% for 10 years.
Korolek [52]
\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
t=years\to &10
\end{cases}
\\\\\\
A=3000(1+0.05\cdot 10)\implies A=3000(1.5)
3 0
3 years ago
Plzzzzzz help I don’t understand I know what to do I need to use PEMDAS but my answer is still wrong
Effectus [21]

simplify exponent: 20*(9-4)/50

simplify parentheses: 20*5/50

multiply: 100/50

divide: 2

6 0
3 years ago
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