Answer:
D
Step-by-step explanation:
Factor x^2+2x-8
(x-2)(x+4) = 0
Solve for x
x = 2
x = -4
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
Answer:
Step-by-step explanation:
The proportion that Alan solved was
x/200 = 8/25
His working as shown was
(8)(x) = (25) (200)
8x = 5000
He divided both sides of the equation by 8. It became
8x/8 = 5000/8
x = 625
The correct steps are
25x = 200 × 8 = 1600
Dividing both sides of the equation by 25, it becomes
x = 1600/25
x = 64
Alan's error were:
1) He got the wrong product when he multiplied 25 by 200.
2)He got the wrong quotient when he divided 5,000 by 8.
Answer:
270 ÷ 30 = 9
Step-by-step explanation:
9x3=27
90x3 = 270
27 ÷ 3 = 9
270 ÷ 30 = 9
90 x 3 = 270
30 x 9 = 270
the rate given is 345 ft/min
this means within 1 min distance is - 345 ft
we have to convert this speed to ft/h
1 hour is equivalent to 60 minutes
so if 60 minutes equals 1 hour
1 minute is equal to - 1/60 hr
so the distance within 1 minute is - 345 ft
since 1 min = 1/60 hr
distance within 1/60 hour = 345 ft
therefore distance in 1 hour = 
answer is 20 700 ft/h
