Answer:
8
Step-by-step explanation:
I've taken test
Answer:
70 degrees
Step-by-step explanation:
total angle in a triangle is 180 degrees
180-40= 140
Angle b and c is total of 140 degrees
they are isosceles so their measurements would be same.
angle b and c is 140÷ 2 = 70
so angle b is 70 degrees
Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
Answer:
Step-by-step explanation:
Remark
The slope intercept line is written as y = mx + b in it's general form.
You can get the slope, m, immediately because it is given as -2
So far what you have is y = -2x + b
y intercept
To get the y intercept, use the point (-3 , 4)
x = - 3
y = 4
4 = -2*(-3) + b
4 = 6 + b Subtract 6 from both sides
4 - 6 = 6-6 + b
b = - 2
Line
y = -2x - 2
(a,8)
y = -2a - 2
8 = -2a - 2 Add 2 to both sides
8 +2 = -2a -2+2 Combine
10 = - 2a Divide by - 2
10/-2 = a
a = -5
(5,b)
y = -2x - 2
x = 5
y = b
b = -2*5 - 2
b = -10 - 2
b = - 12
