All categories

3 years ago

Please help solve this!

Mathematics

1 answer:

In-s [12.5K]3 years ago

3 0

By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.

Therefore the area of the isosceles triangle is

6•4/2=12

However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by

6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2

You might be interested in

Please help ASAP!

Kruka [31]

First, recall that

$\sin(-\theta)=-\sin\theta$

So if $\sin(-\theta)=\dfrac15$ , then $\sin\theta=-\dfrac15$ .

Second,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

We know that $\tan\theta>0$ and $\sin\theta$ , which means we should also have $\cos\theta$ .

Third,

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}$

but as we've already shown, we need to have $\cos\theta$ , so we pick the negative root.

Finally,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}$

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0

3 years ago

In a fruit cocktail, for every 72 ml of orange juice you need 56 ml of apple juice and 120 ml of coconut milk. What is the ratio

olasank [31]

Answer:

7 : 15 : 9

Step-by-step explanation:

The GCF is 8:

56/8 = 7

120/8 = 15

72/8 = 9

6 0

3 years ago

Read 2 more answers

Evaluate:<br> -77 + (-46)

Firdavs [7]

Answer:

-77 + (-46)

=> -77 - 46 (When you add two negative integers, it is the same thing as subtracting a positive integer with a negative integer)

=> -123 (Because a negative + a negative = a negative)

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

6 0

3 years ago

Read 2 more answers

Given a mean of 571 and a standard deviation of 236.5, what is the z-score of the value 724 rounded to the nearest tenth? a.0.9

tangare [24]

The answer to this question is 0.6.

6 0

3 years ago

Read 2 more answers

3x+5=-x-7 solve the equation and show the steps to solve

Luba_88 [7]

Answer:

Step-by-step explanation:

So we have:

3x+5=-x-7

Add x on both sides.

4x+5 = -7

Subtract 5 on both sides.

4x = -12

Divide...

-12/4 = -3

4 0

3 years ago