Answer:
Given - a = 4
b = 9
c = 1
To find - Value of equation
Solution -
3b ÷ c^1 - a
Putting the value of a,b and c in the equation
3(9) ÷ (1)^1 - 4
27 ÷ 1 - 4
27 ÷ (-3)
27 × (1 /(-3)
27/(-3)
(-9)
Answer:
A
Step-by-step explanation:
-5 represents the rate at which the temperature drops while 54 represents the initial temperature.
Answer:
2nd choice
Step-by-step explanation:
Horizontal distance = x
angle = α,
tanα = 15/x, so x = 15/tanα
For A, α = 42°, x = 15/tan42° = 16.66 miles
For B, α = 44°, x = 15/tan44° = 15.53 miles
so the answer is 2nd choice
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
