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Hoochie [10]
3 years ago
5

Need help please!!!!!!

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

x = 13.75

Step-by-step explanation:

(4x + 5) - 10 = 50

4x + 5 - 10 = 50

4x - 5 = 50

4x = 50 + 5

4x = 55

x = 55/4

x = 13.75

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A garden is sodded in the shaded portion below. How many square feet were covered with sod?​
vekshin1

<u><em>Answer:</em></u>

149 ft² were covered in sod

<u><em>Explanation:</em></u>

<u>To solve this problem, we will follow these steps:</u>

1- get the total area of the garden

2- get the area of the two uncovered triangles

3- Subtract the areas of the uncovered triangles from the total area of the garden

<u>Now, let's proceed:</u>

<u>1- getting the total area of the garden:</u>

The garden is rectangular shaped with dimensions 20 ft and 9.25 ft

Area of garden = length * width

Area of garden = 20 * 9.25 = 185 ft²

<u>2- getting the areas of the two uncovered triangles:</u>

The two triangles are congruent. Therefore, we will get the area of one triangle and multiply it by 2 to get the total area of the uncovered part

In the given triangle, we have:

base = height = 6 ft

Area of one triangle = 0.5 * base * height

Area of one triangle = 0.5 * 6 * 6 = 18 ft²

Total area of uncovered part = 2 * 18 = 36 ft²

<u>3- getting the area of the covered part:</u>

Covered area = total area - area of uncovered part

Covered area = 185 - 36 = 149 ft²

Hope this helps :)

4 0
3 years ago
∠1 ≅ ∠2
maksim [4K]

Answer:

∠1 ≅ ∠2 congruence

m∠1 = m∠2 property of equality

m∠2 + m∠3 = 180 definition of supplementary angles

m∠1 + m∠3 = 180 Vertical Angles Theorem

∠1 and ∠3 are supplementary angles.

Find the words that fit each one

Definition of Congruence

Substitution Subtraction

Property of Equality

Definition of Supplementary

Step-by-step explanation:

6 0
3 years ago
You purchase a $100,000 life insurance policy for a $300 premium each year. If the probability of living is 0.999, find the expe
Lemur [1.5K]

Answer:

The expected value for the insurance company is $200

Step-by-step explanation:

In order to calculate the expected value for the insurance company we would have to make the following calculation:

expected value for the insurance company=expected value live+expected value die

expected value live=Net gain*probability of living

expected value live=$300*0.999=$299.70

expected value die=Net gain*probability of die

expected value die=(-$100,000 + $300)*0.001

expected value die=$-99.70

Therefore, expected value for the insurance company=$299.70-$99.70

expected value for the insurance company=$200

The expected value for the insurance company is $200

4 0
3 years ago
11x - 3 + 4x greater than or equal to 142 1/2
oksian1 [2.3K]

Answer:

x > or equal to 9.7

Step-by-step explanation:

Don't let the inequality intimidate you.  Treat the > or equal sign like it is an equal sign.

Any thing you do on the right you must do on the left.

move 3 to other side

combine like terms

15x > or equal to 145.5

Divide both sides by 15

x > or equal to 9.7

4 0
3 years ago
The diameter of a semicircle is 2 feet. What is the semicircle's perimeter?
Mice21 [21]

Answer:

11/7 feet

Step-by-step explanation:

the perimeter of a circle is πr²

and a semi circle is half of a circle then the formula would be 1/2 πr²

1/2×22/7×1 (it is 1 because we have divided the diameter to get radius

so we derived at 11/7

6 0
3 years ago
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