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borishaifa [10]
3 years ago
11

Which ratio is equivalent to 4:5? 10/15, 4/10, 16/20, 15/8

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
4:5 is the same as 4/5, which is equivalent to 16/20
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Suppose that the second term of a geometric sequence is 4 and the sixth term is 16. Find the fourth term
Kaylis [27]

Answer:

  • 8

Step-by-step explanation:

<h3>Given GP</h3>
  • a₂ = 4,
  • a₆ = 16
<h3>To find</h3>
  • a₄ = ?
<h3>Solution</h3>
  • a₂ = ar = 4
  • a₆= ar⁵ = 16

<u>Substitute ar in the second equation</u>

  • ar⁵= 16
  • 4r⁴ = 16
  • r⁴ = 4
  • r = √2

<u>Then finding a₄</u>

  • a₄ = a₂*r² = 4*(√2)² = 4*2= 8
7 0
3 years ago
Simplify the expressions:
mestny [16]

Answer:

-1v

0.6y+2.1

3w-p+4

1-6x

0

-5x+10y+z-25

Step-by-step explanation:

Combine like terms

8 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAIN!!!What has to be true if you want to solve a quadratic?
asambeis [7]

Answer:

Step-by-step explanation:

you have to have a quadratic equation, not sure what your question is,

6 0
3 years ago
How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉?
andrezito [222]

Answer:

B is the Answer.

Step-by-step explanation:

A transformation of a function can be represented by

a(bx - h) + k

where a is the vertical stretch or compression, b is the horizontal stretch or compression. H is the shift horizontally and k is the shift vertically.

The new function has a 2 instead of 1 on the orginally function. The function will stretch since 2 is greater than 1.

B is the answer.

5 0
3 years ago
The top of a desk is shaped like a trapezoid. The bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk
Stolb23 [73]

Answer:

28 centimeters.

Step-by-step explanation:    

Let w be width of desk.

We have been given that the bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk is 791 square centimeters long.

Since the area of trapezoid is half the sum of parallel sides times its height.

\text{Area of trapezoid}=\frac{h}{2}*(a+b), where

h= Height of trapezoid,

a and b= Length of parallel sides of trapezoid.

We have been given that the height of the trapezoid is the width of the desk.

Upon substituting our given vales in above formula we will get,

791=\frac{w}{2}*(26.5+30)

791=\frac{w}{2}*(56.5)

791=w*28.25

w=\frac{791}{28.25}

w=28

Therefore, the width of trapezoid is 28 centimeters.

5 0
3 years ago
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