The table shows a company's income and expenses over the last 7 days.

LuckyWell [14K]

Answer:

The triangle EFG can be constructed with the following specifications: $EF = 8\,cm$ , $FG = 7\,cm$ , $EG = 12\,cm$ , $E \approx 34.093^{\circ}$ , $F \approx 106.068^{\circ}$ , $G \approx 39.838^{\circ}$ .

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

$E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right]$

$E \approx 34.093^{\circ}$

Angle F

$F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right]$

$F \approx 106.068^{\circ}$

Angle G

$G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right]$

$G \approx 39.838^{\circ}$

The triangle EFG can be constructed with the following specifications: $EF = 8\,cm$ , $FG = 7\,cm$ , $EG = 12\,cm$ , $E \approx 34.093^{\circ}$ , $F \approx 106.068^{\circ}$ , $G \approx 39.838^{\circ}$ .

4 0

2 years ago

What is 2+2 minutes 7 plus 89?

Arisa [49]

If you mean minus, the answer is 36.

6 0

3 years ago

Read 2 more answers

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number

Nikolay [14]

number of gallons of gas, x
total cost of the gas, y

3.75x <= 12
x <= 3.2

The greatest amount of gas Berto can buy is 3.2 gallons

5 0