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3 years ago

6

Help please thanks!! (:

1 answer:

Masja [62]3 years ago

5 0

The first thing we do in a problem like this is let arc AB equal X. X is the magic letter, anything you need to find name it x. We also know that all arcs in a circle must add up to 360, so arc ALB is equal to 360 - x.

There's this theorem saying that when two tangents intersect from a point outside a triangle, the measure of the angle formed by the intersection of the tangents (angle P) is equal to the half the difference of the arcs.
This basically means:

angle P = 1/2(360 - x) - x.
plug in the value of angle P
84 = 1/2(360 - x - x)
168=360 - 2x
2x = 192
x = 96

arc AB=96

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Kyle is having a party he has 43 hot dogs there will be 8 people at his party how many hotdogs will each person get

Brrunno [24]

each person will get 5 hot dogs.

Step-by-step explanation:

Total number of Hot dogs =43

Total number of people at party= 8

Each person will get hot dogs= $\frac{Total number of Hot dogs}{Total number of people at party }$

Each person will get hot dogs= $\frac{43}{8}$

Each person will get hot dogs= 5.37 or ≈ 5

So, each person will get 5 hot dogs.

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3 years ago

if a chocolate cake is divided into six equal and each has 280 calories, how many calories are in the whole cake

Contact [7]

Answer:

1680

Step-by-step explanation:

280 x 6 = 1680

3 0

3 years ago

Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se

Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, $\frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}$

We get, eliminating the cosecant function,

$\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}$

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. $\frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}$

i.e. $\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}$

Since, we know that, $\sin^{2}x+\cos^{2}x=1$

Thus,

$\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1$

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0

3 years ago

I need help solving -13<4x+7

arsen [322]

Answer:

the answer is -5< x

Step-by-step explanation:

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5 0

4 years ago

renting paddle boats for Lakeshore paddle boats costs $10 per hour plus a one-time fee of $4 renting paddle boats from Lake padd

Anna11 [10]

Answer:

More than 2 hours

Step-by-step explanation:

Let number of hours be x

<u>Lakeshore paddle cost:</u>

10x + 4

<u>Lake paddle cost:</u>

12x

<u>Required inequality:</u>

10x + 4 < 12x
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Lakeshore paddle costs less when time of rent is greater than 2 hours

3 0

3 years ago