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qaws [65]
3 years ago
8

At the beginning of spring, Lydia planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks,

is given by the equation h=3.75w+14. What is the meaning of the h-value when w=1?

Mathematics
2 answers:
fenix001 [56]3 years ago
7 0
H =17.75 is the answer
vekshin13 years ago
3 0

Answer:

<h2><em><u>Last</u></em><em><u> </u></em><em><u>option</u></em><em><u> </u></em></h2>

Step-by-step explanation:

<em><u>Here,</u></em>

h = 3.75w + 14

=> h = 3.75(1) + 14

=> h = 17.75 inches

<em><u>So</u></em><em><u>,</u></em>

We can conclude that this equation shows <em><u>:</u></em><em><u> </u></em><em><u>How</u></em><em><u> </u></em><em><u>much</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>sunflower</u></em><em><u> </u></em><em><u>grows</u></em><em><u>,</u></em><em><u> </u></em><em><u>in</u></em><em><u> </u></em><em><u>inches</u></em><em><u>,</u></em><em><u> </u></em><em><u>each</u></em><em><u> </u></em><em><u>week</u></em><em><u>.</u></em>

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It costs a clothing company $463.45 to make 169 T-shirts.
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Answer:

The unit price for 1 T-shirt is about $2.74.

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Set up an equation:

Variable x = unit price for 1 T-shirt

169x = 463.45

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almond37 [142]

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Dmitry [639]
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8 0
3 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
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