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Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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Find $ \left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3} $.

vitfil [10]

Question:- Find

$\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}$

Answer:-

$\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}$

Taking power inside the bracket

$\frac{5^{4} }{ {12}^{4} } \times \frac{ {12}^{3} }{ {15}^{3} }$

$\frac{ {5}^{4} }{ {12}^{4 - 3} } \times \frac{1}{ {(5 \times 3)}^{3} } \\ \frac{ {5}^{4} }{12} \times \frac{1}{ {5}^{ 3 } \times {3}^{3} } \\ \frac{ {5}^{4 - 3} }{12 \times {3}^{3} } \\ \frac{5}{4 \times 3 \times {3}^{3} } \\ \frac{5}{4 \times {3}^{4} } = \frac{5}{4\times81 } \\ Answer-> \frac{5}{324}$

$Power\:Form-> \frac{ 5 }{12 \times {3}^{3} }$

8 0

3 years ago

The diameter of a Frisbee is 12 in. What is the area of the Frisbee?

boyakko [2]

The area of the Frisbee is 36π square inches or approximately 113.04 square inches.

Since the Frisbee is circular, its area can be solved by the equation:
A = πr^2 where r= diameter/2 = 6 in
A = 6*6π in
A = 36π square inches or approximately <span>113.04 square inches

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4 0

3 years ago

In 2017 which was admitted 207 people into the school and then in 2008admitted 299 people into the school how many pupils did sh

boyakko [2]

Answer:

506

Step-by-step explanation:

Given that :

Number students admitted in 2017 = 207

Number of students admitted in 2018 = 299

To obtain the number of students admitted in both years, we use the addition operator as it is an addition problem. It requires the sum of students admitted both in 2017 and 2018

Number students admitted in 2017 + Number students admitted in 2018

207 + 299 = 506

506 students were admitted in total in both 2017 and 2018

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3 years ago

Bill works for a large food service company. In one hour he can make 19 sandwiches or he can make 40 salads. Bill works 7 hours

wolverine [178]

Answer:

$x=216 salads$