MATHEMATICS HIGH SCHOOL

Suppose v varies directly as g, and v=36 when g=4. Find v when g =11

Answers

Answer 1
Answer:

36v.......4g

 x...........11g

Cross multiply

4x= 36*11

4x= 396

x= 396/4

x= 99


When g=11 V will equal 99


I hope that's help !


you can also doing it another way

4*9= 36v

11*9= 99

If you have questions please ask !


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The art museum had a total of 224 visitors on Tuesday. Visitors older than 18 paid $12 for admission. Visitors 18 years or younger paid $8 for admission. The museum collected a total of $2,520. How many visitors were 18 or younger?

Answers

Given:
total of 224 visitors
older than 18  paid $12
18 and below paid $8
total collection 2,520

Let l be visitors older than 18 and m be visitors 18 and below.

l + m = 224
12l + 8m = 2,520

l = 224 - m
12(224 - m) + 8m = 2520
2688 - 12m + 8m = 2520
-4m = 2520 - 2688
-4m = -168
m = -168/-4
m = 42    number of visitors 18 and below.

l = 224 - m
l = 224 - 42 
l = 182 number of visitors older than 18.

12(182) + 8(42) = 2520
2184 + 336 = 2520
2520 = 2520

"42". I just took the test.

What two numbers add to negative 9 but multiply to 24

Answers

There aren't any numbers that add to 24 but multiply to 9. But you can still factorise - remember, you only need to get numbers that add up to the middle number if the coefficient of y^2 is 1. That means if you just have y^2, not 2y^2 or 3y^2 or 16y^2 like we do here. 

16y^2+24y+9 = (4y+3)^2

What is the dimension of the hypotenuse of the accompanying right triangle?

Answers


It's not possible to know, because you're not letting us see
the accompanying right triangle.

Your average walking speed when you step 1 meter in 0.5 second

Answers

velocity = distance/time
v = d/t = 1/0.5 = 2m/s

The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How far do riders travel on the lift? Round your answers to the nearest whole number.

Answers

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =(Perpendicular)/(Hypotenuse)

Sin22.3^(\circ) =(AB)/(AC)

AC=(2600)/(Sin22.3^(\circ))

AC=(2600)/(0.379456159529)

AC=6851.9

So, riders travel 6852 feet .
The y distance of this problem is 2600 with an angle of elevation of 22.3 degrees. This angle is measured from the horizontal. This problem is solved using the Pythagorean theorem where 2600 is the opposite and we are to solve the hypotenuse. It is solved by the equation sin(theta) = opposite /hypotenuses. Plug in the given and the answer is 6852 feet. 

Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains

Answers

sorry hun but i believe you got this!!!! But multiply boo trust me



65.2 hours
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