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3 years ago

Find the length of both arc AB and arc APB, where

Mathematics

2 answers:

Alexeev081 [22]3 years ago

7 0

Check the picture below.

as you can see, the angle at P is the inscribed angle, and the intercepted arc is AB, thus 2P = arcAB.

and since a circle has a total of 360°, the other arc is just 360 - arcAB.

nika2105 [10]3 years ago

5 0

The length of the arc cannot be found without knowing some linear measure of the circle. None are given.

The measure of arc AB is twice that of angle APB, so is
  2*108° = 216°.
The measure of arc APB is the difference between that and 360°, so is
  360° -216° = 144°.

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Simplify sine squared theta divided by the quantity 1 minus sine squared theta..

timama [110]

Answer: tan^2ø
(i’m gonna use ø as theta because i can’t find it)

explanation:
sin^2ø-1=cos^2ø because of one of the pythagorean identities

sin^2ø/cos^2ø is tan^2ø because sin/cos is tan- opposite/hypotenuse divided by adjacent/hypotenuse is opposite/adjacent

hope that helps- you can comment if you need any more explanation :)

3 0

3 years ago

Mr. Jones waffle recipe uses 3/4 cups of milk to make 8 waffles how many cups of milk should be used to make 24 waffles?

ella [17]

Answer:

9/4

Step-by-step explanation:

If you need 3/4 cups of milk to make 8 waffles, you would need 9/4 cups to make 24 waffles because you are making 3 times the amount of waffles, so you need 3 times the amount of milk.

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2 years ago

What is 7 to the 2nd power multiplied by 7 to the 3rd power

inn [45]

The answer is 16807 because 49*343 is 16807.

3 0

3 years ago

Read 2 more answers

If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa

tamaranim1 [39]

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

$\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}$

$\text{Price of pair of jeans this year}=\$75+\$75\times0.02$

$\text{Price of pair of jeans this year}=\$75+\$1.5$

$\text{Price of pair of jeans this year}=\$76.5$

Therefore, the price of pair of jeans would be $76.5 this year.

7 0

2 years ago

A family has two cars. The first car has a fuel efficuency of 15 miles per gallon of gas and the second has a fuel efficiency of

SVEN [57.7K]

Answer:

x= 35 gallons consumed by 1st car

and y= 40 gallons consumed by 2nd car

Step-by-step explanation:

Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

Let x= gallons consumed by 1st car

and y= gallons consumed by 2nd car

Total gallons consumed by both cars = 75

so, we can write

x + y = 75

Miles covered by both cars = 1925 miles

and we know, Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

we can write the equation as

15 x + 35 y = 1925

where x and y are gallons consumed by 1st and 2nd car.

We have two equation now,

x + y = 75 (1)

15 x + 35 y = 1925 (2)

Multiplying eq(1) with 15 and subtracting eq (1) and 2

15 x + 15 y = 1125

15 x + 35 y = 1925

- - -

_______________

0 - 20 y = -800

y= -800 / -20

y = 40

Putting value of y in equation 1

x + y = 75

x + 40 = 75

x= 75 - 40

x = 35

x= 35 gallons consumed by 1st car

and y= 40 gallons consumed by 2nd car

4 0

2 years ago