Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Company fixed cost = $10 million = $10,000,000
Variable cost per pair = $5
Company charges each pair = $15
Hence the company makes $10 profit per pair
regardless the company fixed cost and only considering the variable cost.
Let subtract the variable cost per pair from the
company charging each pair = 15 - 5 = $10
Thus the company now makes $10 per pair, and it has
to sell 1,000,000 pairs of gloves to reach the break-even point. The break-even
point refers to the point where total cost and revenue are equal.
<span>Thus for 1,000,000 pairs, the company total earning =
10 x 1,000,000 = $10,000,000 = $10 million </span>
Answer:
take 42 degree as reference angle
using sine rule
sin 42=opposite/hypotenuse
0.66=x/23
23*0.66=x
15.18=x
15.2=x
take x degree as reference angle
using cos rule
cosx=adjacent/hypotenuse
cosx=29/42
cosx=0.69
cos 46 =0.69
therefore x=46 degree
Step-by-step explanation:
Answer:
0.6154 or 61.54%
Step-by-step explanation:
The joint probability P(B′∪F) is given by the sum of each individual probability minus the intersection between both probabilities (red face cards).
The inverse probability of a card being black is also the probability of a card being red, which is 26 in 52. There are 12 face cards in a 52-card deck, 6 of which are not black, therefore:
Answer:
-7 and 5
Step-by-step explanation:
If you multiply -7 and 5, you get -35
Add them, and you get -2.
