-- The area of the long skinny piece on top is (6 x 33) = 198
-- The length of the dotted line between the top and bottom pieces is (33-21) = 12
-- The area of the bottom piece is (12 x 15) = 180
-- The area of the whole thing is (198 + 180) = 378
-- The perimeter of the whole thing is (33 + 6 + 21 + 15 + 12 + 15 + 6) = 108
Answer:
7i
Step-by-step explanation:
We know that i = √-1
Then solving the given:
- √-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7i
So the answer is:
Answer: B. 2.5 in
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is the unknown side.
With m∠32 as the reference angle,
the adjacent side of the right angle triangle is 4 in
the opposite side of the right angle triangle is w
To determine w, we would apply
the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan 32 = w/4
w = 4tan32 = 4 × 0.625
w = 2.5 in
Answer: 50 calories
Step-by-step explanation:
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:
= 90/150 = 3/5
One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:
= 12/120 = 1/10
The fat that are provided by a 100 calorie serving of the microwave popcorn would be:
= 3/5 × 100
= 60
The fat that are provided by a 100-calorie serving of the pretzels would be:
= 1/10 × 100 = 10
The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:
= 60 - 10
= 50 calories
