Answer:
D
Step-by-step explanation:
We can assume that the rim of the canyon is 0. Sarah started 3 miles <u>below</u>, so -3, BUT distance can never be negative, so it's considered 3 miles. Then, she went 8 miles <u>above</u> zero. So the 3 miles she went <em>before</em> reaching the rim plus the 8 miles she went <em>after</em> reaching the rim equals 11 miles.
So now we know that Sarah is right, but how do we know which equation is correct? Well, if we look at option C:
When solving absolute value, we solve everything within the absolute value before applying the absolute value. This means that we add -3+8 first, which equals 5, and then apply absolute value, which still equals 5. This equation is not correct.
I hope this helps!
The area of the isosceles trapezoid is 136 cm2
To find the area of the trapezoid, first we need to make an exact triangle to the other side of the trapezoid, just like in the diagram is showing, ( so you will have 2 triangles in the trapezoid, thinks about that the triangle that is on the diagram is reflecting to the other side) then we have a rectangle on the center of the trapezoid, we use the area formula which is would be 8x13=104, then we take the area formula of the triangle and substitute, which would be (1/2)8x4=16, we multiply 16 by 2 to get 32, this would be the area of the two triangles plus the area of the rectangle which is 104 gives a total of 136 cm2
Hope this help!!! :)
Answer:
Abel receives $60, and Cedric receives $120
Step-by-step explanation:
Let Abel's share = A
Let Cedric's share = C
we are given the following
A + C = 180 - - - - - (1) (Abel and Cedric will share a total of $180)
(Abel will receive half as much as Cedric. )
from equation 2:
putting this value of C in eqn (3) into eqn (1)
A + (2A) = 180
3A = 180
∴ A = 180 ÷ 3 = 60
to find C, let us replace the value of A in eqn (3) with 60
C = 2A - - - - (3)
C = 2 × 60
C = 120
Therefore, Abel receives $60, and Cedric receives $120
AD = AB
AD = 2r+8
AB = 5r-13
we need to find the value of r to find the total length
so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
now we know r, so replace r with 7 in the equation for AD
AD = 2r+8 = 2(7) +8 = 14 +8 = 22
the answer is D. 22
