9514 1404 393
Answer:
- base: 2.18 m
- height: 7.35 m
Step-by-step explanation:
Let b represent the base of the triangle in meters. Then the height is ...
h = 3 +2b
and the area is ...
A = 1/2bh
8 = 1/2(b)(3 +2b)
16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses
2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square
2(b +3/4)^2 = 17.125
(b +3/4)^2 = 8.5625 . . . . . divide by 2
b + 0.75 = √8.5625 ≈ 2.9262
b = -0.75 +2.9262 = 2.1762
h = 3 +2b = 7.3523
The base is about 2.18 meters and the height is about 7.35 meters.
Answer:
a. Sage and Tom have the same number of talk minutes left on their cell phone plans.
b. y = x - 7
Explanation:
Sage talked for 7 minutes with her dad.
Tom talked for 4 minutes with a friend and 3 more minutes with his mom which means he spoke for :
= 4 + 3
= 7 minutes
They both spoke for 7 minutes and therefore have the same amount of time left.
Algebraic expression:
Assuming the time Tom started with is denoted by x and the time he is left with is denoted by y.
The expression is:
y = x - 7
CALCULATE 5/8 + 3 1/4 x -3/6 - 2 5/12 = -3 5/12
The surface area of the prism will be given by:
SA=(surface area of triangles)+(surface area of rectangles)
surface area of triangles=2(1/2*3*4)=12 sq. units
area rectangles
the length of the hypotenuse will be:
c²=a²+b²
c=√(3²+4²)
c=√25
c=5
area=(3*5)+(4*5)+(5*5)=60
Total area=60+12=72 sq. units
Answer: 72 sq. units
