ANSWER
EXPLANATION
The area of a sector is calculated using the formula,
The arc measure is given as 45°
The radius of the circle is 8 inches.
We substitute to obtain,
Answer:
(4, 5 )
Step-by-step explanation:
Given the 2 equations
y = x + 1 → (1)
x + 2y = 14 → (2)
Substitute y = x + 1 into (2)
x + 2(x + 1) = 14 ← distribute and simplify left side
x + 2x + 2 = 14
3x + 2 = 14 ( subtract 2 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Substitute x = 4 into (1) for corresponding value of y
y = 4 + 1 = 5
Solution is (4, 5 )
Answer:
h = 5.4
Step-by-step explanation:
Basically these are 2 similar triangles. That means:
Corresponding sides are proportional.
We can set up a ratio of each triangle separately and equate, cross multiply and solve for "h".
h corresponds to 2.4
2.9 corresponds to 1.3
Setting up the ratio and solving for h:
Rounded to 1 decimal place,
h = 5.4
Answer:
percentage change from 1960 to 1970 =( 0.11 ÷0.25 ) × 100
= 44 %
Percentage change from 1970 to 1980 =( 0.83 ÷ 0.36) × 100
= 230.55%
percentage change from 1980 to 1990 = ( 0.16 ÷ 1.19) × 100
= 13.44%
percentage change from 1990 to 2000 = (- 0.09 ÷ 1.35) × 100
= -6.667%
Step-by-step explanation:
Item : 1960 1970 1980 1990 2000
gallon: $0.25 $0.36 $1.19 $1.35 $1.26
change : 0.36 - 0.25 = 0.11
percentage change from 1960 to 1970 =( 0.11 ÷0.25 ) × 100
= 44 %
Percentage change from 1970 to 1980 =( 0.83 ÷ 0.36) × 100
= 230.55%
percentage change from 1980 to 1990 = ( 0.16 ÷ 1.19) × 100
= 13.44%
percentage change from 1990 to 2000 = (- 0.09 ÷ 1.35) × 100
= -6.667%
Answer:
Sale price= $26.25
Step-by-step explanation:
Giving the following information:
Selling price= $35
Discount rate= 25%
<u>To calculate the sale price of the sweater, we need to use the following formula:</u>
<u></u>
Sale price= selling price*(1 - discount rate)
Sale price= 35*(1 - 0.25)
Sale price= 35*0.75
Sale price= $26.25
