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Svetradugi [14.3K]
2 years ago
11

A boy 1.6 m tall casts a 2.4 m shadow. How tall is a nearby streetlight that casts a 7.2 m shadow?

Mathematics
1 answer:
Oxana [17]2 years ago
8 0
You basically need to set up a porporion:
1.6/2.4 = x/7.2
x=4.8
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What is the solution to the compound inequality 3x-8>-5 and 2x-7<5
-BARSIC- [3]

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

x > 1

2x - 7 < 5            <em>add 7 to both sides</em>

2x < 12          <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

6 0
3 years ago
Find the angle measurements and side lengths for the triangle below
rewona [7]

Answer:

Step-by-step explanation:

Sin(A) = 5/7

Sin(A) = 0.7143

A = sin-1(0.7143

A = 45.58

B = 180 - 45.58 - 90

B =  44.43

C = 90

c = 7

a = 5

b^2 = c^2 - a^2

b^2 = 7^2 - 5^2

b^2 = 49 - 25

b^2 = 24

b = 4.899

4 0
2 years ago
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
2 years ago
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Shalnov [3]
This is what i got in the caculator 6400 if not im so so sory
8 0
2 years ago
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Write the equation of the line that is parallel to 6x + 5y = -10 and passes through the point (-10, 9)
uysha [10]

Answer:

y= -6x - 51

Step-by-step explanation:

5y = -6x - 10

Slope: -6

y = -6/5x - 2

Point: (-10,9)

y-intercept: 9 - (-6)(-10) = 9 -60 = - 51

6 0
2 years ago
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