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Xelga [282]
3 years ago
5

Simplify (6^5/7^3)^2 A.6^7/7^10 B.6^10/7^6 C.6^3/7 D.12^5/14^3

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

( \frac{6^{5} }{ {7}^{3} }) ^{2}  =  \frac{6^{5 \times 2} }{7^{3 \times 2} }  =  \frac{6^{10} }{7^{6} }
(a^{m})^{n}  = a^{m \times n}
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Find the volume of triangular prism with the following dimensions. Round to the nearest whole number.
defon

Answer:

<em>124.0 ft^2</em>

Step-by-step explanation:

let b = base of triangle = 7ft

h = height of triangle = 4ft

and

l = height of prism. = 8.5ft

We know,

volume of prism = area of triangular face of prizm × height of prizm

= 1/2 × b × h × l

= 1/2 × 7 × 4 × 8.5

= 7 × 2 × 8.5

= 14 × 8.5

<h2> = <u>124.0 ft^2</u></h2>
6 0
3 years ago
A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
The square of the sum of 7 times x and 3 divided by 4 times the difference of c and 1
bija089 [108]
The second answer from the top is correct. Your original choice is incorrect because the 7x and the 3 are not both being squared as the statement suggests.
7 0
3 years ago
Read 2 more answers
If 60% of a numbet is 18,what is 89% of the number
aliya0001 [1]
What is this number?

if 60%x=18

then

\frac{60}{100}x=18

\frac{6}{10}x=18
\frac{3}{5}x=18
3x=18*5
x=6*5
x=30

and 89% of it:
\frac{89}{100}*30=\frac{89}{10}*3=26.7 which is the answer




5 0
3 years ago
I need help with this question can someone give me the answer?
Mrac [35]

Answer:

I’d say the first one!!!

Step-by-step explanation:

Most reasonable

5 0
2 years ago
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