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notka56 [123]
3 years ago
14

A road sign casts a shadow that is 4 feet long.At the same time a 6 foot man standing next to the sign casts a shadow that is 2.

4 feet long. How tall is the sign
Mathematics
1 answer:
lawyer [7]3 years ago
3 0
The road sign would be 10ft tall.
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You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p
Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

8 0
3 years ago
Select the correct answer from each drop-down menu. In the figure, . Angles are congruent . ∠GAC ≅ ∠AFE because they are corresp
Hoochie [10]

Answer:

∠GAC ≅ ∠HFD by the Property of Congruence.

Step-by-step explanation:

I'm going to be honest the question is a little confusing cause of the beginning, but if you're looking for which angles are actually congruent it's ∠GAC ≅ ∠HFD

8 0
3 years ago
Ms. Hernandez gave her students a math test
emmainna [20.7K]

Answer:

85-86%

Step-by-step explanation:

Make it an equation

You want to find the percent out of a hundred, so 42 is 100 since it is all of the questions and 36 is the unknown percent X

36/42 = X/100

36             X

42             100

Cross multiply

Do math and solve for X

36 x 100 = 42 x X

3600=42X

X=85.71

7 0
2 years ago
Two point particles are attached to each other via a light in-extensible string that passes over a ring hanging from the ceiling
arlik [135]

a. The expression for the tension in the string is T = mg

b. The expression for the tension in the chain is T = 2mg

To solve the problem, we need to know what tension is.

<h3>What is tension?</h3>

This is the opposing force in a stretched material.

<h3>a. Tension in the string</h3>

The expression for the tension in the string is T = mg

Since the string supports the weight of the object, the tension in the string equals the weight of the particle.

Let

  • T = tension in sring and
  • W = weight of particle = mg where
  • m = mass of particle and
  • g = acceleration due to gravity

So, T = W

T = mg

So, the expression for the tension in the string is T = mg

<h3>b. Tension in chain</h3>

The expression for the tension in the chain is T = 2mg

<h3 />

Since the chain supports both strings, the tension in the chain equals the tension in both strings.

Let

  • T' = tension in chain and
  • T = tension in each string

So, T' = T + T

T' = 2T

T' = 2W

T' = 2mg

So, the expression for the tension in the chain is T = 2mg

<h3 />

Learn more about tension here:

brainly.com/question/24994188

5 0
2 years ago
What are zeros of function y=2x2 -3x-20, and why
kykrilka [37]
4 and -2.5

You can get this by first factoring the equation. 

(2x + 5)(x - 4)

Then set both equal to zero and solve individually. 
4 0
3 years ago
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