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garri49 [273]
3 years ago
15

In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14

inches. Which equation can you use to solve for the total amount of plywood you will need?
Mathematics
2 answers:
Usimov [2.4K]3 years ago
7 0

Answer:

5 ⋅ (1/2 ⋅ 6 ⋅ 14) = x

Step-by-step explanation:

i got it right on ttm

vampirchik [111]3 years ago
6 0
The area of a triangle can be calculated through the equation,
                            A = bh / 2
where A is area, b is base, and h is height. 
Substituting the known values from the given above to the equation
                            A = (14 in)(6 in) / 2 = 42 in²
Since, there are five of these triangles, the total area is,
                            total area = 5(42 in²) = 210 in²
Thus, the total area of the plywood needed is 210 in².
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Sonja [21]

Step-by-step explanation:

180° = m<A + m<B + m<C

180° = 45° +60° + m<C

180° = 105° + m<C

m<C = 180° - 105 °

m<C = 75°

3 0
3 years ago
What is the length of BD?
I am Lyosha [343]

Answer:

10\sqrt{3}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

<em>Sine Ratio </em>

\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 60^\circ=\frac{BD}{20}

Solving for BD:

\displaystyle BD=20\sin 60^\circ

Since

\sin 60^\circ=\frac{\sqrt{3}}{2}

\displaystyle BD=20\frac{\sqrt{3}}{2}

Simplifying:

\boxed{\displaystyle BD=10\sqrt{3}}

4 0
2 years ago
Write the expression of the quotient of 44 and 11
VladimirAG [237]

Answer:

4

Step-by-step explanation:

44 ÷ 11 = 4

3 0
3 years ago
Olivia baked 45 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in
allochka39001 [22]

Answer:

7 whole loaves of bread.

Step-by-step explanation:

Since there are total of 6 locations and each location needs to have the same number of whole loaves of bread we simply need to divide the number of mini-loaves of banana bread by the number of locations like so...

45 / 6 = 7.5

As we can see by the mathematical expression above 45 loaves of bread can be divided into 6, giving each location 7.5 loaves of bread but since each location needs only whole loaves then that would mean that each location would get 7 whole loaves of bread.

8 0
2 years ago
The sum of 4 times a number and 3 is 9
nalin [4]

Answer:

x = 6/4 or 1 1/2

Step-by-step explanation:

4x+3=9

Subtract the 3 from both sides

4x+3=9

    -3 -3

4x = 6

Divide both sides by 4

x = 6/4 or 1 1/2

3 0
3 years ago
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