MATHEMATICS HIGH SCHOOL

4. b) Solve the inequality
7x<5x-8

Answers

Answer 1
Answer: x<-4 is the solution to the inequality
Answer 2
Answer: x<-4 is the answer hope I helped

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Write 11 5/8 as an improper fraction

Answers

11 (5)/(8)=11+(5)/(8)=(88)/(8)+(5)/(8)=(88+5)/(8)=(93)/(8)
11 5/8 as an improper fraction is 93/8

How much helium to lift 1pound

Answers

About 13.4 cubic feet.  (rounded)

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a radius of 7 inches.two circles touching at one point. Larger circle has radius of 7 inches. Smaller circle has radius of 3 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?

Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?

Show all work.

Answers

Let r represent the radius of the smaller circle and R the radius of the larger circle.
Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:
For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:
The number of rotations = R/r = 7/3 = 2.3 rotations 

Suree can run 6 miles per hour. One mile is equal to 5280 feet. What is her running speed in feet per minute?A. 14.67 ft per minute
B. 88 ft per minute
C. 5528 ft per minute
D. 860 ft per minute

Answers

It's probably B. 88 ft per minute.
on the calculator, I got 880, but the zero's don't matter sometimes, so I believe it's B.

I need help again and can smb help me with the whole study guide pls !

Answers

Answer:

d bro. pay attention at order of triangle's vertices

Could anyone help with math?? Will up vote, thanks!If a cone-shaped vase can hold 45 cubic centimeters of water and has a radius of 2 centimeters, what is the height of the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.

7.45 centimeters
10.75 centimeters
14.33 centimeters
22.50 centimeters

Answers

Answer:

The height of the cone is 10.75 cm.

Step-by-step explanation:

Given the volume of cone = 45 cubic cm

Radius of the cone = 2 cm

Height of the cone = ?

The volume formula of cone is = \pi r^(2) (h)/(3)

45= 3.14*2*2* (h)/(3)

=> 45*3 =12.56h

=> 135=12.56h

h = 10.748 ≈ 10.75 cm

So, the height of the cone is 10.75 cm.
volume of a cone  V = pi * r * r * h / 3
so V = 45, r = 2 therefore 45 = 3.14 * 2 * 2 * h /3  => 45 = 3.14 * 4 * h /3
=> 135 = 3.14 * 4 * h  => 33.75 = 3.14 * h  => 10.75 = h
height = 10.75 cm rounded to 2 decimal places
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