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1 year ago

Find each missing length, make sure you give both exact AND approximate. Brainliest + 50pts

Mathematics

1 answer:

goldenfox [79]1 year ago

3 0

B²=15²-7²
B²=225-49
B²=176
B=13.26(exact)
B=13.3(approx)

B²=17²-7²
B²=289-49
B²=240
B=15.49(exact)
B=15.5

H²=20²+14²
H²=400+196
H²=596
H=24.41(approx)
H=24.4(exact)

B²=6²-3²
B²=36-9
B²=27
B=5.196(exact)
B=5.2(approx)

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You can see how this works by thinking through what's going on.

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So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

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2 years ago

15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000( _ 9 8 ) x , represe

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2 years ago

Twice the difference of a number and 3 is equal to 2

REY [17]

Answer: x = 4

Step-by-step explanation:

We'll call the number "x."

"Twice the difference of a number and 3" means 2(x-3)

is equal to 2: =2

Put them together:

2(x-3) =2

2x - 6 = 2

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x = 4

Check:

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1 year ago

The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.

Softa [21]

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Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

$A_s=\frac{\theta}{360}*\pi r^2$ where θ is the measure of the central angle of the circle. For us, that fills in as follows:

$48\pi=\frac{270}{360}*\pi r^2$ and manipulate it as follows:

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$A_s=\frac{90}{360}(3.1415)(10)^2$ which simplifies a bit to

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Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

$A_t=\frac{1}{2}(10)(10)$ which is

$A_t=50m^2$

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.

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