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3 years ago

6

A sporting goods manufacturer requires three sevenths 3/7 yd of fabric to make a pair of soccer shorts. how many shorts can be m

ade from 24 yd of fabric?

1 answer:

ExtremeBDS [4]3 years ago

4 0

That would be 24 / 3/7 = 24 * 7/3 = 8*7 = 56 answer

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Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20?

pishuonlain [190]

-20 because 40 is a positive and spent is negative

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2 years ago

To decorate 6 dozen cupcakes with red hot candies, Nan needs about 550 red hots. Which two sacks of candy would be the best buy?

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2 years ago

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Molodets [167]

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2 years ago

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago

need some help with geo, could you explain how to do it as well so i know next time not needed but helpful

Setler [38]

You can do this by finding the lengths of RT , RS and ST using the distance formula

RT = sqrt ((0- -5)^2 + (4 - -6)^2)
= sqrt (5^2 + 10^2) = sqrt 125

RS = sqrt ((-3- -5)^2 + (-2 - -6)^2))
= sqrt ( 2^2 + 4^2) = sqrt 20

ST = sqrt 125 - sqrt 20

RS / ST = sqrt 20 / (sqrt 125-sqrt 20)

so the ratio RS:ST = 2:3

Its B

5 0

2 years ago