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german
2 years ago
11

Rewrite 7.25 as a mixed number in the lowest terms. PLEASE HELP!!!!!!!!

Mathematics
1 answer:
umka21 [38]2 years ago
5 0

Answer:

7 1/4

Step-by-step explanation:

shhstbkydynndeyjxdyjn

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The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of the larger c
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The circumference of the larger circle is 94.2 inches.

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How do I work this out?
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$503.90

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Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
Ken wants to buy some coffee mugs, m , that cost $5 each and some ground coffee, C, that costs $8 a pound. He has $25.
ValentinkaMS [17]

The inequality representation of the scenario is :

  • 5m + 8c ≤ 25
  • m = 1 and c = 1

  • Number of mugs = m
  • Cost per mug = $5
  • Number of ground coffee = c
  • Cost per ground coffee = $8
  • Total amount to spend = $25

  • (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend

  • Representing as an inequality : 5m + 8c ≤ 25

Combination of m and c that makes the inequality true :

  • Using trial by error :
  • m = 1 and c = 1
  • 5(1) + 8(1) ≤ 25 ; 13 ≤ 25

Hence, m = 1 and c =1 are valid values for the expression.

Learn more : brainly.com/question/15748955

3 0
2 years ago
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