Answer: 173.26 ft = 173 ft
Step-by-step explanation:
h tree: 76 ft
h man: 6 ft
As we can see on the sketch, they form a right triangle, so:
tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft
tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft
distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft
Answer:
The discount = $1,128
New price = $17,672
Step-by-step explanation:
Price of car before discount = $18,800
Discount given = 6% of price of car
Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128
Thus, the discount is $1,128
New price = Price of car before discount - discount = $18,800- $1,128
New price = $17,672
<h3>
Answer: x + y = 2</h3>
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Work Shown:
y - 6 = -(x + 4)
y - 6 = -x - 4
y = -x - 4 + 6 ..... adding 6 to both sides
y = -x + 2
y + x = 2 .... adding x to both sides
x + y = 2
The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.
15/6=2.5 which is the scale factor since they are similar triangles. We divide each side of the large triangle by 2.5 to get the sides for the small triangle since they are similar. 20/2.5=8cm
25/2.5=10cm
For the second problem, you put 15/6 and set in equal to x/8 when you cross multiply you get 6x=120 then you divide x=20
For the last problem, you divide 43,75 by 5 then multiply it by 400 to get the kiloliters which equals 3,500.
