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2 years ago

10

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

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