HELP PLEASE!!! :( ONLY TWO QUESTIONS

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

3 0

Answer:

1) 60°, 75°, 120°, 105°

2) 101.5 m

Step-by-step explanation:

1) The sum of ratio units is 4+5+8+7 = 24, which corresponds to the sum of angles, 360°. Then each ratio unit must stand for 360°/24 = 15°. Multiplying the given ratio units by 15° gives the angle measures:

4×15° = 60°
5×15° = 75°
8×15° = 120°
7×15° = 105°

2) The similarity statement and the scale factor mean ...

MJ : TQ = 4 : 7

7·MJ = 4·TQ . . . . . . . . . "cross multiply"

TQ = 7/4×MJ = 7/4(58 m) . . . . . divide by 4, substitute the value of MJ

TQ = 101.5 m

You might be interested in

A round mirror has a circumference of 87.92 inches. Calculate the area of the mirror.

Zarrin [17]

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=87.92 \end{cases}\implies 87.92=2\pi r\implies \cfrac{87.92}{2\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{7em}A=\pi \left( \boxed{\frac{87.92}{2\pi }} \right)^2 \\\\\\ A=\pi \cdot \cfrac{87.92^2}{4\pi^2}\implies A=\cfrac{87.92^2}{4\pi }\implies A\approx 615.127998$