Answer:
a. 3
Step-by-step explanation:
We solve this question gathering the information given in the question.
June serves 8 guests slices of both pies.
This is soon going to be used
June serves a total of 10 slices of apple pie
This includes the 8 guests which got served both pieces. So 10 - 8 = 2 guests were served only apple pie.
11 slices of blueberry pie.
By the same logic as above, 11 - 8 = 3 guests were served only blueberry pie.
So
8 + 2 + 3 = 13 guests were served at least one pie.
16 - 13 = 3 guests had no pie at all.
Answer:
21.8degrees
Step-by-step explanation:
Given the following
Length of shadow =opposite = 12ft
Height of tree = adjacent = 30ft
Required
angle of elevation
tan theta = opposite/adjacent
tan theta = 12/30
tan theta = 0.4
theta = 21.8degrees
angle of elevation is 21.8degrees
Ratio of the length of the tile to the length of the board is 1:2
Ratio of the area of the tile to the area of the board is 1:4
Step-by-step explanation:
- Step 1: Find ratio of length of the tile to the length of the board
Length of the tile = 1/4 ft
Length of the board = 1/6 yd = 1/6 × 3 = 1/2 ft (∵ 1 yd = 3ft)
∴ Ratio of length of the tile to length of the board = 1/4 : 1/2 = 1/4 × 2/1 = 1:2
- Step 2: Find the ratio of area of the tile to area of the board
Area of the tile = Length × Width = 1/4 ft × 1/4 ft = 1/16 ft²
Area of the board = Length × Width = 1/6 yd × 1/6 yd
= 1/2 ft × 1/2 ft (∵ 1 yd = 3 ft)
= 1/4 ft²
⇒ Ratio of the area of the tile to the area of the board = 1/16 : 1/4
= 1/16 × 4/1 = 1:4
Answer:
Add 3 to both sides, so you will have
x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3
And now the left side is a perfect square trinolmial: (x-4)^2.
Step-by-step explanation:
Hope this helps:)