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xenn [34]
3 years ago
5

Find the scale factor of a cube with volume 216ft to a cube with volume 1000ft

Mathematics
1 answer:
Elenna [48]3 years ago
8 0
216:1000
108:500
54:250
27:125 is the ratio in simplest form.
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Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =
Nadusha1986 [10]

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

y = -x+9  and   y = 0.5x-6.

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

y = -x+9

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

y = 0.5x-6

Put the value of x = a and y = -1;

(-1) = 0.5(a)-6

0.5a = 6 - 1

0.5a = 5

a=\frac{5}{0.5}

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.

8 0
3 years ago
Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)
Contact [7]

cosU:-

\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25

As U lies in Q3

  • cosU=-24/25

sinV

\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4

As V lies in Q3

  • sinV=-3/5

So

  • sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=<u>4</u><u>4</u><u>/</u><u>1</u><u>2</u><u>5</u>
  • cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125
3 0
2 years ago
If Jay had 5 cards and Jill had 10 cards. What is the product?
cupoosta [38]
Hello there,

The word "product" mean's to multiply.

So we are going to do 5 x 10.

This will give us 50 because when we do
10+10+10+10+10 is give's us 50. That is 
what multiplication mean's.

Hope this helps

Your correct answer will be 50 card's

~Jurgen
5 0
3 years ago
The teacher kept track of how long it took students to finish a test. After 20 minutes, 3 students had finished the test.
spin [16.1K]
Well I would say 11 kids after 70 minutes
5 0
3 years ago
If 10x+2=7 what us 2x
Yakvenalex [24]
2x=1

10x+2=7
subtract 2 from both sides
10x=5
divide 10 on both sides
x=1/2, 0.5, or 5/10

Use 1/2 to solve '2x'
2*(1/2)=1
6 0
3 years ago
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