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Romashka [77]
3 years ago
12

A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure? ​

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

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Step-by-step explanation:

I attached a graph.

Hope that helps!

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3 years ago
If cosine of x equals 1 over 2, and tan (x) > 0. In which quadrant is x located? Explain how you know. What is sin(x) and tan
Alja [10]

Answers:

x is in quadrant I (first quadrant) in the upper right hand corner

sin(x) = sqrt(3)/2

tan(x) = sqrt(3)

where 'sqrt' is shorthand for 'square root'

============================================

Explanation:

cos(x) = 1/2 shows us that cos(x) > 0. At the same time, we're told that tan(x) > 0. Both cosine and tangent are positive. This only happens when we're in the first quadrant. The first quadrant is to the right of the vertical y axis, and it is above the horizontal x axis. In short, the first quadrant is in the upper right hand corner. Tangent is positive in quadrant III; however, cosine is negative here. Similarly, cosine is positive in Q4, but tangent is negative here.

Use the pythagorean trig identity to determine the value of sin(x)

sin^2(x) + cos^2(x) = 1

sin^2(x) + (1/2)^2 = 1

sin^2(x) + 1/4 = 1

sin^2(x) = 1 - 1/4

sin^2(x) = 3/4

sin(x) = sqrt(3/4)

sin(x) = sqrt(3)/sqrt(4)

sin(x) = sqrt(3)/2 ... sine is positive in quadrant I

Now divide the values of sine and cosine to get tangent

tan(x) = sin(x)/cos(x)

tan(x) = sin(x) divided by cos(x)

tan(x) = sqrt(3)/2 divided by 1/2

tan(x) = sqrt(3)/2 times 2/1

tan(x) = sqrt(3) .... note how the '2's cancel

we see that tangent is positive, so that helps confirm the answer.

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Find F(5) for f(x)= 1/4 (2)
ioda

Answer:

a2+2a+2

Step-by-step explanation:

Find F(5) for f(x)= 1/4 (2) the answer is a2+2a+2

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