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3 years ago

In triangle ABC, angle C is a right angle and BC=5. If measure of angle B = 30 degrees, find AC

2 answers:

5 0

Answer = d

using the 30 - 60 - 90 triangle theorem

side across from the angle

across from angle 30 is x
across from angle 60 is x rad. 3
across from 90 is 2x

BC is across from angle 60
so BC is the x rad 3
set the given measurement equal to it

x sqrt 3 = 5
÷ sqrt 3 ÷ sqrt 3
x = (5/ sqrt 3)
multiply top and bottom by the radical to get rid of the radical in the bottom

x = (5/ sqrt 3) × (sqrt 3/sqrt 3)
x = 5 sqrt 3/ 3

since side BC is x
BC = 5 sqrt 3/ 3

* Drawing the triangle diagram would help*

steposvetlana [31]3 years ago

4 0

Answer:

Step-by-step explanation:

._.

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3 years ago

What is 70% as a fraction in simplest form

andriy [413]

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3 years ago

Read 2 more answers

Brian needs to buy some pencils bread I had a pack of 12 pencils for 298 when we has a pack of a pack of 18 pencils for 499 find

AlekseyPX

Answer:

The pack of 12 pencils for 298 is better as it has a lower unit price.

Step-by-step explanation:

To be able to find the answer, you have to calculate the unit price for each brand by dividing the price of the pack by the number of pencils in the pack.

-298/12=24.83

-499/18=27.72

According to this, the answer is that the pack of 12 pencils for 298 is better as it has a lower unit price.

8 0

3 years ago

One eighth of phil's 72 buttons are red. How many of his buttons are not red?

Sergio039 [100]

9 of his buttons are not red. 1/8 of 72 is 9
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6 0

3 years ago

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.)

masya89 [10]

Answer:

$(x-4)^2+(y+5)^2=90$

Step-by-step explanation:

The equation of a circle of radius r, centered at the point (a,b) is

$(x-a)^2+(y-b)^2=r^2$

We already know the center is at $(4,-5)$ , we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):

radius $=\sqrt{(7-4)^2+(4-(-5))^2}=\sqrt{3^2+9^2}=\sqrt{90}$

And now that we know the radius, we can write the equation of the circle:

$(x-4)^2+(y-(-5))^2=\sqrt{90}^2$

$(x-4)^2+(y+5)^2=90$

5 0

3 years ago