Answer:
21
Step-by-step explanation:
The first thing we do is multiply -3 by -9 to get 27. (Two negatives multiplied cancels each other out). Now we solve for -1+27-5. The resulting answer is 21.
Answer:
The cost of the sweater before the markup is $24.50.
Step-by-step explanation:
The percent markup of an item is calculated by subtracting the original cost of the item from the sale price and then dividing by the original cost. In this case, we are trying to find the original cost, so we know that the percent markup is 40%, or 0.4. Since the sale price of the item would be 100% of the original cost multiplied by an additional 40% markup, we can take the sale price of the item divided by 140%, or 1.4: 34.30/1.4 = 24.50.
Answer:
a. ⅛
b. ⅜
c. -⅜
Step-by-step explanation:
a. There are 8 units from 0 to -1, and also 8 units from 0 to 1.
Given that the numberline is divided I to equal segments, therefore, each segment will be of the following equal length:
¹/8 * 1 = ¹/8
Therefore, a segment = ⅛
b. Point N is 3 units from 0.
Each unit = 1 segment = ⅛
Point N would represent:
3 * ⅛ = ⅜
c. The opposite of point N, ³/8, is the same distance that would be covered to our left from 0.
-³/8 is the opposite of point N, ⅜
The answer is True.........................
Answer:
Height of the building = 18.3 ft
Step-by-step explanation:
Let the height of the building = x ft
From the picture attached,
A boy is standing on the building at a point A, car is at a point B and a bird is flying at C.
Applying Pythagoras theorem in ΔABD to find the distance AD.
AB² = BD² + AD²
AD =
=
=
= 15 units
Now from ΔACD,
tan(70)° =
1.22196 =
x = 15 × 1.22196
x = 18.33
≈ 18.3 ft
Therefore, height of the building is 18.3 ft.