Answer:
6) 6
9) 40
10)
11) 13
Step-by-step explanation:
6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*
9) Pythagorean Theorem
We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a
which gives us 40
10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by because we know that if 2 legs are equal, the hypotenuse is multiplied by . Multiply the numerator and denominator by because we can't have a square root in the denominator.
11) like #9 we have the a and b but we need to find c
a=5 b=12 c=r
so which gives us 13
Answer:
54 X 68=3672
Step-by-step explanation:
Answer:
Formula
A = 1/2 b * h
Substitute
Area = 60 in^2
b = x
h = 2x - 1
60= 1/2 * x * (2x - 1)
Solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Remove the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 This factors.
(2x + 15)(x - 8) = 0
Solve for x
2x + 15 = 0
2x = - 15
x = -15/2
x = - 7.5 a negative measurement is useless. Discard this answer.
x - 8 = 0
x = 8
Area (Check)
base = 8
height = 16 - 1 = 15
Area = 1/2 * 8 * 15 = 60 as it should
Answer
Use Area = 1/2 * b * h to find the base and the height.Step-by-step explanation:
<span>Let t=time Doreen travels; let r=rate of Doreen
RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64
Now solve the system:
(r+13)(t-3)=105
</span>r*t=64<span>
</span>
<span>
Doreen: rate = 8 mph, time = 8 hours
Sue: </span>rate = 21 mph, time = 5 hours<span>
</span>
Answer:
It’s D because no lines overlap so it passes the vertical line test
Step-by-step explanation: