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Makovka662 [10]
3 years ago
7

What is the value of b?

Mathematics
1 answer:
Natalija [7]3 years ago
8 0
b=180-90-51=39
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What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)
Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12

Now I know the height is 12. Find the area of the triangle

A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96

subtract the area of the triangle from the area of the circle

314-96=218

6 0
3 years ago
How does this work?????
ankoles [38]

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Since the triangle is right, solve for x using Pythagoras' identity, that is

x² = 8² + 4² = 64 + 16 = 80

Take the square root of both sides

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5} ← exact value



3 0
3 years ago
X²=169 extracting square root​
ryzh [129]

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± \sqrt{169} = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

7 0
3 years ago
I need help on this math problem.
OLEGan [10]

B: (0, a)

C should have the same y value as B

D: (a,0)

C should have the same x value as D


So point C is (a,a)

Since point A is on the origin, its point is (0,0)


You use the slope formula and plug in point A and C:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{a-0}{a-0}

m=\frac{a}{a}

m = 1


So the value that belongs in the green box is 1


6 0
3 years ago
What is credit?
zvonat [6]

When I took the test, I selected "C. an arrangement in which you receive money now and pay it back later with fees" but I got it wrong. So I'm pretty sure the answer is "A. an arrangement in which you receive money, goods, or services now in exchange for the promise of payment later"

5 0
3 years ago
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