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Dvinal [7]
2 years ago
10

In triangle ABC, find B, to the nearest degree, given a = 7, b = 10, and C is a right angle.

Mathematics
1 answer:
anastassius [24]2 years ago
5 0

The correct answer is 55 so D :)


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Pls help i don’t know how to do this
algol [13]

Answer: \displaystyle\\\frac{2\pi }{3},\ \frac{5\pi }{3}  .

Step-by-step explanation:

\displaystyle\\tan\theta=-\sqrt{3}\ \ \ \  0\leq \theta\leq 2\pi \\\theta =\frac{2\pi }{3}+\pi N\ \ \ (N=0,\ 1,\ 2,\ 3\ ...)\\ N=0\\\theta=\frac{2\pi }{3} +\pi *0\\\theta=\frac{2\pi }{3}\ \ \ \ ( 0\leq \theta\leq 2\pi)\\ N=1\\\theta=\frac{2\pi }{3}+\pi *1 \\\theta=\frac{2\pi }{3} +\pi \\\theta=\frac{2\pi +3\pi }{3} \\\theta=\frac{5\pi }{3} \ \ \ (  0\leq \theta\leq 2\pi)\\

N=2\\\theta=\frac{2\pi }{3}+2\pi \\ \theta=\frac{2\pi +3*2\pi }{3}\\ \theta=\frac{2\pi +6\pi }{3} \\\theta=\frac{8\pi }{3} \\\theta=2\frac{2}{3} \pi \ \ \ \  (\notin0\leq \theta\leq 2\pi).\\

6 0
1 year ago
What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​
Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

A=P\left(1+\dfrac{r}{100}\right)^t

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting A=8700,r=24,t=3, we get

8700=P\left(1+\dfrac{24}{100}\right)^{3}

8700=P\left(1+0.24\right)^{3}

8700=P\left(1.24\right)^{3}

8700=1.906624P

Divide both sides by 1.906624.

\dfrac{8700}{1.906624}=P

4563.0391729=P

P\approx 4563.04

Therefore, the principal value is about 4563.04.

8 0
3 years ago
Brian is traveling at a rate of 72.0 meters/second. What speed would he be traveling in miles/hour?
Korvikt [17]

Answer:

we know that, 1miles/hour = 0.45m/s

or, 1meters/second = 1/0.45

1m/s = 2.22222222222

Step-by-step explanation:

Then,

72.0 meters/second = 72.0*2.22222222222

                                  =160 miles per hour.

7 0
3 years ago
The circumference is 12 mile. What is the diameter?
photoshop1234 [79]

To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.

So in this case, you must divide 12 by 3.14, which gives you 3.82.

I even double checked this, and should be correct then.

8 0
2 years ago
Read 2 more answers
Why does triangularly cut bread taste better than square bread?
irina [24]

Answer:

It doesn't. Square bread on top

Step-by-step explanation:

5 0
2 years ago
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