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3 years ago

10

The sum of two numbers is 50. The larger number is 6 less than 3 times the smaller number. Find the smaller number. A)14 B)145 C

)36 D)10

1 answer:

umka21 [38]3 years ago

7 0

I think its C.36. I hope it help you

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4 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

Round 86 to the nearest 10

a_sh-v [17]

Answer:

90

Step-by-step explanation:

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3 years ago

Which number line shows the solution to<br> 11x + 14 < –8?

GalinKa [24]

Answer:

D

Step-by-step explanation:

11x + 14 < -8

Cancel the addition by subtracting

11x + 14 - 14 < -8 - 14

11x < -22

11x / 11 < -22/11

x < -2

Therefore, the answer is D

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3 years ago

A piece of wire in the form of a rectangle 18 cm long and 15 cm wide is bent and reshaped as a circle. Find the radius of a circ

a_sh-v [17]

Answer:

r = 12.89

Step-by-step explanation:

18(2) + 15(3) = 81 = C

C = 2πr

81 = 2πr

81/2 = πr

r = 81/2π ≈ 12.89

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3 years ago