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kicyunya [14]
3 years ago
13

If a rectangular prism with a length of 12 feet and width of 9 feet has a surface area of 930 square feet, find its height.

Mathematics
2 answers:
Tasya [4]3 years ago
6 0

Answer is 17 the height

MaRussiya [10]3 years ago
5 0

Answer:

17 feet

Step-by-step explanation:

A=2(wl+hl+hw)

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A circle with a radius of 3 has a central angle of 17/9 pi what is the area of the sector
mafiozo [28]

Answer:17/2pi

Explained:

Just writing longer so I don’t have to go into details. If this is on khan academy you don’t have to show your work!

3 0
3 years ago
the tens digit of a two digit number is twice the units digit. The sum of the digits is twelve. Find the original number.
KatRina [158]
X - tens digit
y - units digit

x=2y\\
x+y=12\\\\
2y+y=12\\
3y=12\\
y=4\\\\
x=2\cdot4\\
x=8\\\\
10\cdot8+4=\boxed{84}

4 0
3 years ago
Jessica can walk 2 1/2 miles in 3/4 of an hour. What is her speed in miles per<br> hour?
Sergeeva-Olga [200]

Answer:

3 1/3 miles

Step-by-step explanation:

Find the unit rate. 2 1/2 is the numerator because distance is usually the numerator when it comes to unit rates. 3/4 is the denominator.

5 0
2 years ago
Which expression is equivalent to ( 4mn / m^-2n^6)^-2a. n^6 / 16m^8b. n^10 / 16m^6c. n^10 / 8m^8d. 4m^3 / n^8?
Eva8 [605]

\huge{(} \small{\frac{4mn}{ {m}^{ - 2} {n}^{6}  }}  \huge{) } \small{{}^{  {}^{ {}^{ {}^{ - 2} } } } }\\  \\  \\ \huge{(} \small{   \frac{4 \times m {}^{1}  \times n {}^{1} }{ {m}^{ - 2} \times  {n}^{6}  }}  \huge{)} \small{^{  {}^{ {}^{ {}^{ - 2} } } }} \\  \\  \\  \huge{(} \small{4 \times  {m}^{1 - ( - 2)}  \times  {n}^{1 - 6}} \huge{)} \small{ {}^{  {}^{ {}^{ {}^{ - 2} } } } } \\  \\  \\   \huge{(} \small{ 4 \times  {m}^{1 + 2}  \times  {n}^{ - 5} } \huge{)} \small{ { }^{ {}^{  {}^{  {}^{ - 2} } }  } } \\  \\  \\ \small{  {(4)}^{ - 2} \times  ({m}^{3} ) ^{ - 2} \times  {(n{}^{ - 5} )}^{ - 2}    } \\  \\  \\  \frac{1}{ {4}^{2} }  \times  {m}^{ - 6}  \times  {n}^{ 10}  \\  \\  \\  \frac{1}{16}  \times  \frac{1}{ {m}^{6} }  \times  {n}^{10}  \\  \\  \\  \frac{ {n}^{10} }{16{m}^{6} }







\text{ Hence, option B is correct }
7 0
3 years ago
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess
maxonik [38]

Answer:

Total weight of the wheat placed on 45th square will be = 1.26\times 10^{6}tons

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one  grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = a(r^{n-1})

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

1\times (2^{45-1}) = 2^{44}=1.76\times 10^{13}

Then the weight of wheat will be = 2.51\times 10^{9}pounds=1.26\times 10^{6}tons



7 0
3 years ago
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