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svetoff [14.1K]
3 years ago
8

How many square feet of outdoor carpet will we need for this hole? HELP PLS!!!

Mathematics
1 answer:
Otrada [13]3 years ago
7 0

Answer: The answer is 39 square feet.

Step-by-step explanation:

By saying square feet it's indicated that you mean the area of this irregular figure.

To do this you can break apart the shape into two pieces.

The first 11 x 3 rectangle then the 2 x 3 rectangle.

Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.

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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0
3 years ago
Read the problem in the box below. Make a list to help you solve the problem,
romanna [79]
<h3>Answer: Choice A) 9 combinations</h3>

Explanation:

Imagine you had a table with 3 rows and 3 columns. The rows represent the possible main dishes (Chicken, Fish, Beef) and the rows represent the side dishes (Rice, Potatoes, Vegetables).

The table has 3*3 = 9 cells inside it. Each inner cell represents a different combo the customer can order.

7 0
3 years ago
The probability that a house in an urban area will develop a leak is 55​%. if 2020 houses are randomly​ selected, what is the pr
k0ka [10]
<span>The probability that a house in an urban area will develop a leak is 55​%. if 20 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? round to the nearest thousandth.

Use binomial distribution, since probability of developing a leak,  p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000

</span>
7 0
3 years ago
The O'Brien family is ordering food for a family reunion. The family orders 16 pounds of potato salad. If 20 people attend the r
sukhopar [10]

Answer:

Each person would receive maximum 0.8 pounds of potato.

Step-by-step explanation:

Given:

Total Amount of Potato = 16 pounds.

Number of people attend reunion = 20

We need to find the largest amount of potato each person would receive.

Solution:

largest amount of potato each person would receive can be calculated by dividing Total Amount of Potato with Number of people attend the reunion.

framing in equation form we get;

largest amount of potato each person would receive = \frac{16}{20} =0.8\ pounds

Hence Each person would receive maximum 0.8 pounds of potato.

5 0
3 years ago
9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
3 years ago
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