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AysviL [449]
3 years ago
10

A flooring company needs to tile a section of a kitchen that is in the shape of a triangle.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft

Explanation:

The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:

1. Write the general equation

A = \frac{h  b}{2}

2. Replace the letters with the values you have

21 =\frac{6b}{2}

3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol

21 x 2 = 6b   -For example 2 divided 6b but if it is changed to the other side it needs to multiply

42 = 6 b

42 / 6 = b

b = 7

This means the value of the height is 7 ft. If  you want to double-check this, use the original formula:

A = 6 ft x 7 ft / 2

A= 42 ft^{2} / 2

A= 21 ft^{2}

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Answer:

10. 285

11. 6\frac{3}{4}

16.a. Stiles Family

<u>Reason</u>-The Styles family uses  twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage  per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces  \frac{114 *15}{6}\\=285

---------------------------------------------------------------------------------------------------------

11. To make 8 jumbo muffins take, amount of baking powder used = 1\frac{1}{2} =\frac{3}{2}

To make 1 jumbo muffin, amount of baking powder used = \frac{3}{2} / 8 =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used =  36 *3/16

=\frac{27}{4} =6\frac{3}{4}

-------------------------------------------------------------------------------------------------------------

16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses  twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

------------------------------------------------------------------------------------------------------------

16.b. Water consumed by 1 person in the  Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

5 0
3 years ago
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