Answer:
x = 20
p =54
y= 54
Step-by-step explanation:
2x-4 = 96-3x
5x = 100
x = 20
2x-4 = 40-4 = 36
(180 - (36 x 2))/2
(180-72)/2
108/2
p = y =54
Answer:
6.12
1.39
4.12
12
Step-by-step explanation:
If y ∝ x, then y = kx.
So, the constant of proportionality is given by
Case 1:
$18.36 for 3 pizzas
Therefore, the constant of proportionality is
Case 2:
$4.17 for 3 pounds of bananas.
Hence, the constant of proportionality is
Case 3:
$16.48 for 4 pounds of potatoes.
Hence, the constant of proportionality is
Case 4:
2 cups of flour to make 24 cookies.
Hence, the constant of proportionality is
(Answer)
Supplementary = 180°
Complementary = 90°
180° - 52° = 128°
90° - 52° = 38°
Hope this Helps!!
Hello!
10 seconds to return to the ground.
7 seconds to reach 576 feet above the ground.
Find the amount of time taken to reach the ground by setting the equation equal to 0:
0 = -16t² + 80t + 800
Factor out -16 from the equation:
0 = -16(t² - 5t - 50)
Factor the terms inside of the parenthesis:
0 = -16(t - 10)(t + 5)
Find the zeros:
t - 10 = 0
t = 10
t + 5 = 0
t = -5
Time can only be positive in this instance, so the correct answer is 10 sec.
Find the time by substituting in 576 for the height:
576 = -16t² + 80t + 800
Subtract 800 from both sides:
-224 = -16t² + 80t
Rearrange:
0 = -16t² + 80t + 224
Simplify:
0 = -16(t² - 5t - 14)
0 = -16(t - 7)(t + 2)
t = 7 seconds.
The artistic crop isn't helpful; it cuts off some vertex names.
The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so
EH² = HL² + EL²
EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339
Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.
Answer: 4.25