Inverse f(x) =x/5 -2 = 5(x+2)
Answer:
A Q1
cos 59° = x/16
x = 16 cos 59°
x = 8.24
Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)
Q3
BC² = AB² - AC²
BC = √(37² - 12²) = 35
Q4
Let the angle is x
cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²
Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7
Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd
All calculations are rounded
Answer:
ED = 8
Step-by-step explanation:
2x+4 = (3/2)x+6
2x = (3/2)x+2
(1/2)x = 2
x = 4
ED = 4+4 = 8
Answer:
A 190-pound person would burn 285 calories at the same rate.
Step-by-step explanation:
<em>Calories burn depends on the weight</em>
<em>Weight of first person = 160</em>
Calories burn for 160 pounds in 30 mins = 237
Calories burn rate for 1 pound in 30 mins =
= 1.5
<em>Calories burn for 190 Pound person would be:</em>
Weight of second person = 190
Calories burn for 190 pounds in 30 min:
As the burn rate of calories is same for the two persons:
= rate × weight
= 1.5 * 190
= 285 calories
Answer:
x = 43
Step-by-step explanation:
Since it says at the bottom that the sum of angle measures is 360° that means that you can dd up all the angles and it will equal 360.
<u>Set up an equation</u>
(3x) + (2x) + (x + 12) + (2x + 4) = 360
<em>Then add them all together.</em>
5x + (3x + 16) = 360
8x + 16 = 360
<em>Subtract 16 from both sides to get 8x alone.</em>
8x = 344
<em>Then divide both sides by 8 to get x</em>
![\frac{8x}{8} = \frac{344}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B8%7D%20%3D%20%5Cfrac%7B344%7D%7B8%7D)