X + y = 15
Rearrange this to isolate for x.
x = 15 - y
x + z = 20
Rearrange this to isolate for x also.
x = 20 - z
Since they are both equal to x, that means they are equal to each other (x = x)
Set them equal to each other.
15 - y = 20 - z
Now, isolate for y.
y = 15 - 20 + z
Now, use y + z = 25 and isolate for y.
y = 25 - z
Since they are both equal to y, we set them equal to each other.
15 - 20 + z = 25 - z
Solve for z
z + z = 25 - 15 + 20
2z = 30
2z/2 = 30/z
z = 15
Now you can plug the value for z into the other equations to find y and x.
x + z = 20
x +15 = 20
x = 20-15
x = 5
y + z = 25
y + 15 = 25
y = 25 - 15
y = 10
Answer:
7.3 ft
Step-by-step explanation:
The information given represents a right angle triangle with the following:
reference angle = 52°
Adjacent side length = 5.7 ft.
Opposite side length = height of the statue = h
Applying the trigonometric ratio formula, we would have:
Multiply both sides by 5.7
(nearest tenth)
<span>An equiangular triangle is a triangle where all three interior angles are equal in measure.</span>
Answer:
it's B, C, and D
Step-by-step explanation:
A. w ⋅ 462 = 16 1/2
not A
w * a ≠ l
B. 16 1/2 ⋅ w = 462
is B
l * w = a
C. 462 ÷ 16 1/2 = w
is C
a / l = w
D. 462 ÷ w = 16 1/2
is D
a / w = l
E. 16 1/2 ⋅ 462 = w
not E
l * a ≠ w
Answer: 13300
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Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
