Answer:
LARGER NUMBER IS 15 AND SMALLER NUMBER IS 9
Step-by-step explanation:
LET THE LARGER NUMBER BE X AND SMALLER BE Y
X + Y = 24 …….1
X = 6 + Y …… 2
WE SOLVE SIMULTANOUSLY
SUBTRACTNG EQATION 2 FROM 1
X – X + Y – (-Y) = 24 – 6
Y + Y = 18
2Y = 18
DIVIDING EACH TERM BY 2
2Y/2 = 18/2
Y = 9
THEN PUTTING Y = 3 IN EQUATION 2
X = 9 + 6
X = 15
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=11255e4x=11255e4
Decimal Form:
x=206.14251569…x=206.14251569…
Answer:
Rate of depreciation = 27%
Step-by-step explanation:
Given:
Purchase price = $32,650
Rate in 2020 = $23,834.50
Find:
Rate of depreciation
Computation:
Depreciation = Purchase price - Rate in 2020
Depreciation = $32,650 - 23,834.50
Depreciation = $8,815.5
Rate of depreciation = [8,815.5 / 32650] 100
Rate of depreciation = 27%
<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = ![\frac{2}{8} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B8%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)