MATHEMATICS MIDDLE SCHOOL

What is the volume of the entire figure?

____cm3
What is the volume of the entire figure? ____cm3 - 1

Answers

Answer 1
Answer:

Answer:

180cm3

Step-by-step explanation:

4x12x3=144

2x2x9=36

144+36=180cm3

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You play video games online. When you sign up with the game site, you get 400 points. You earn 50 more points for each hour that you play. How many hours do you have to play to get to 1,000 points?

Answers

The answer is 12 but the way you get it is you subtract 400 from 1000 which gives you 600 then you divide 600 by 50 to get 12. So it looks like this 1000-400= 600, 600/50=12. Hope this helps. :)
1000-400=600 points left
600 / 50 = 12
So you would have to play for 12 hours to reach 1000 points

The volume of a cylinder, found using 3.14 to approximate pi, is 50,240 cm3. The radius of the cylinder is 40 cm.What is the height of the cylinder?

Express your answer as a whole number.

_____cm

Answers

V = pi * r^2 * h

Plug in what we know:

50240 = 3.14 * 40^2 * h

Simplify the exponent:

50240 = 3.14 * 1600 * h

Multiply:

50240 = 5024h

Divide 5024 to both sides:

h = 10
50,240 / 80 (I got 80 from doing 40 times 2)
that is 628
628/3.14
that is 200
the height is 200 cm

What is the area of a right triangle with a leg length of 15 feet and hypotenuse length of 39 feet

Answers

The formula of the area of a triangle is given by

A=(1/2)a*b

where a and b are the two shortest legs of the triangle, keeping in mind that the longest side of a triangle is the hypotenuse.

Since we are given with the length of a short leg and the hypotenuse, we can calculate for the length of the second short leg through the Pythagorean Theorem which is given as

c^2=a^2+b^2

Hence,

(39)^2=(15)^2+b^2
1521=225+b^2
1296=b^2
b=36 feet

The length of the other short leg is then 36 ft. Substituting this to the formula of the area we have

A=(1/2)(15)(36)
A=270 ft^2

The area of the specified right triangle is 270 square feet.

when doing inequalities, when would I know when to switch the sign/symbol (by symbols I mean; < and >)

Answers

you don't switch it  unless for example 7<x the X has to be on the other side X>7 

In attempting to solve the system of equations y 3x 2 and 6x 2y 4, John graphed the two equations on his calculator. Because he saw only one line, John wrote that the answer to the system is the empty set. Is he correct? Explain your answer.

Answers

No, he is not correct. The lines are the same, so there are an infinite number of solutions.

When two lines are parallel, then the solution is empty set.

The graph of y=f(x) is shown below. find all the values of x where f(x)=8

Answers

Answer:

x  =  4

Step-by-step explanation:

Find 8 on the y-axis.  Draw a horizontal line through y =8.  Determine the x value for which the graph intersects this horizontal line y = 8.  It is x = 4
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