Question

evaluate the formula for the area of triangle $a=\frac{1}{2}bh$ using the given values of the variables. $a = 80 in^{2}, b = 16 in$ $h = 13 in$ $h = 2.5 in$ $h = 322 in$ $h = 10 in$ $h = 320 in$ multiple choice 1 point evaluate the formula of conversion of celsius to fahrenheit $f=\frac{9}{5}c + 32$, if $c=-20^{circ}$. $f=-3.7^{circ}$ $f = 20.9^{circ}$ $f=-4^{circ}$ $f=-68^{circ}$ $f=-43.1^{circ}$

Explanation:

Step1: Substitute values into area formula

Given $A = \frac{1}{2}bh$, substitute $A = 80$ and $b = 16$. We get $80=\frac{1}{2}\times16\times h$.

Step2: Simplify the right - hand side

$\frac{1}{2}\times16\times h=8h$. So the equation becomes $80 = 8h$.

Step3: Solve for h

Divide both sides of the equation $80 = 8h$ by 8. $\frac{80}{8}=h$, so $h = 10$ in.

Step4: Substitute C value into temperature formula

For the formula $F=\frac{9}{5}C + 32$ with $C=-20$. First, calculate $\frac{9}{5}\times(-20)$. $\frac{9}{5}\times(-20)=9\times(-4)=-36$.

Step5: Calculate F

Then, $F=-36 + 32=-4^{\circ}$.

Answer:

1. D. $h = 10$ in
2. C. $F=-4^{\circ}$