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:
$8 loss
Step-by-step explanation:
$10 profits, $7 profits, $25 loss
$10+$7=$17 profits
$25 loss - $17 profits = $8 loss
<u>The probability is </u><u>1/12</u>
The probability of choosing a nickel is 9/18 = 1/2. The probability of choosing a dime is 3/18 (because there are 3 dimes and since there is replacement, we still have 18 total coins to choose). With these, we get: (1/2) * (3/18) = 3/36 = 1/12
From the given problem above, the correct answer would be the last option since it stated that a number which is X is increased by five or added by five and then the sum is then squared. Therefore, it is option D. (X+5)^2.
Incomplete question please add a image
