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mihalych1998 [28]
2 years ago
14

The diameter of the circle below is 42 cm. Work out the radius of the circle.​

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0

Answer:

r = 21 cm

Step-by-step explanation:

The radius of a circle is 1/2 of the diameter

r = 1/2d

r = 1/2(42)

r = 21 cm

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The equation and answer
dolphi86 [110]

Answer:

The correct answer is 47 degrees.


Step-by-step explanation:

Use cosine.

cos(x)= adj/hyp

cos(x)=19/28

x=arccos(19/28)

Use a calculator

x is approximately 47 degrees.


8 0
3 years ago
What is the solution of the following trig equation: tan(theta)(csc(theta)+2)=0
gtnhenbr [62]
D:\theta\neq\frac{k\pi}{2};\ k\in\mathbb{Z}\\\\tan\theta(csc\theta+2)=0\iff tan\theta=0\ \vee\ csc\theta+2=0\\\\\\tan\theta=0\iff\theta=k\pi\notin D\\\\csc\theta+2=0\\\\csc\theta=-2\\\\\frac{1}{sin\theta}=-2\\\\-2sin\theta=1\ /:(-2)\\\\sin\theta=-\frac{1}{2}

(\theta=-\frac{\pi}{6}+2k\pi\ \vee\ \theta=\frac{7\pi}{6}+2k\pi)-answer
7 0
3 years ago
A bank loaned out ​$​12,00, part of it at the rate of 9% per year and the rest at 19% per year. If the interest received in one
Crazy boy [7]

Answer:

$7,800 was invested at 9% and $4,200 at 19%.

Step-by-step explanation:

Given that a bank loaned out $ 12,000, part of it at the rate of 9% per year and the rest at 19% per year, if the interest received in one year totaled $ 1,500, to determine how much was loaned at 9% the following calculation must be performed:

12,000 x 0.09 + 0 x 0.19 = 1,080

10,000 x 0.09 + 2,000 x 0.19 = 1,280

8,000 x 0.09 + 4,000 x 0.19 = 1,480

7,900 x 0.09 + 4,100 x 0.19 = 1,490

7,800 x 0.09 + 4,200 x 0.19 = 1,500

Thus, $ 7,800 was invested at 9% and $ 4,200 at 19%.

6 0
3 years ago
35+X+76=180, What does X=? *<br> Your answer
____ [38]

Answer:

x = 69

Step-by-step explanation:

Given

35 + x + 76 = 180, that is

x + 111 = 180 ( subtract 111 from both sides )

x = 69

6 0
3 years ago
15. Nadia has a can of vegetables with a mass of 411 grams. Write equivalent
Vladimir79 [104]

Answer:

41.1

Step-by-step explanation:

41.1 hectograms

4.11 kilograms

0.411 decagrams

4 0
3 years ago
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