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mote1985 [20]
3 years ago
13

A pole is 35 3/4 feet long. If 3/8 of the pole is underground,

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer: 22.34375

Step-by-step explanation:

35 and 3/4 is equal to 35.75

Therefore,

35.75 x (3/8) is equal to 13.40625 underground.

So 35.75 - 13.40625 = 22.34375 feet above ground

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4x + y = 7<br>3x + 2y = 9​
Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2><em><u>Substitution Method</u></em><em><u>:</u></em></h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

<em><u>y = 3</u></em>

Step 4:

Substitute the value of <em><u>y = 3</u></em> in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

<em><u>x = 1</u></em>

<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>

4x + y = 7 i.e., <em>4(1) + (3) = 7</em>

3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>

3 0
3 years ago
Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
Roman55 [17]

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

Where:

s = 6 --- the length of each toothpick

The area of the rectangle is then represented as:

A_2 =3s \times s

A_2 =3s^2

So, the total area of the figure is:

Total = 6A_1 + A_2

This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

Substitute 6 for s

Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

Total =6 \times 5.20+ 108

Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

7 0
2 years ago
Liza went out for pizza with her mom. Their meal cost $32. Sales tax is 5% and they decide to leave 15%
ASHA 777 [7]

Answer:

7

Step-by-step explanation:

fdgrgeag

5 0
3 years ago
Chelsea completes 35 math problems in 7 min.
Andru [333]
Answer = 5 problems per minute

Because you do the number of problems divided by the minutes eg 35/7 = 5
3 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST !!
8090 [49]

Answer:

2 and 6, 4 and 8, 1 and 5, 3 and 7

Step-by-step explanation:

The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.

In this example, lines m and l are two parallel lines

line n cuts through both, making every other angle corresponding and congruent, etc...

6 0
3 years ago
Read 2 more answers
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