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trasher [3.6K]
2 years ago
7

What is the best estimate of the sum of the fractions?

Mathematics
1 answer:
hoa [83]2 years ago
8 0

Answer:

14 1/2

Step-by-step explanation:

Estimations only help us do some rough calculations. They don't give us correct answer but, again, they aren't supposed to.

When estimating sum of the fractions, we should estimate each fraction separately and then just add those estimations up.

For example, 31/4 is somewhere just below 8, but we'll estimate it to 8. Similarly, 17/3, is a bit less then 6, but close enough to be rounded up.

Finally, 8/18 is somewhere near 1/2, so we round it up to that value.

Now, we simply add up all these estimations:

8+6+1/2 = 14 1/2

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Use a double angle identity to rewrite the formula r(Θ)=<img src="https://tex.z-dn.net/?f=1%2F16v%5E2sin%28theta%29cos%28theta%2
Artist 52 [7]

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

7 0
3 years ago
What are the angle measures of triangle ABC?
Schach [20]

The angle measures of triangle ABC is ∠A=90°, ∠B= 60°, ∠C = 30°. Thus, the correct option is B.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

As it is known that the angles of the triangle are 30°, 60°, and 90°. Therefore, the largest angle is 90° which will be the opposite of the largest side of the triangle, therefore, the measure of ∠A=90°.

Also, the shortest angle of the triangle is 30°, which will lie at the opposite of the smallest side of the triangle, therefore, the measurement of the ∠C=30°.

Now, the angle left is ∠B therefore, the measure of ∠B=60°.

Hence, the angle measures of triangle ABC is ∠A=90°, ∠B= 60°, ∠C = 30°. Thus, the correct option is B.

Learn more about Triangle:

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4 0
2 years ago
Ken can walk
pentagon [3]

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

7 0
3 years ago
A 13-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 7 feet f
NARA [144]

Answer:

64

Step-by-step explanation

8 times 8 is 64 just write that down

6 0
3 years ago
*BRAINLIEST+40 POINTS*
iren [92.7K]

Answer:

Step-by-step explanation:

15j^2 + 15

the product of 15 and a number (j) squared increased by 15 ??

5 0
3 years ago
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