In ΔTUV, the measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet. Find the length of TU to the nearest tenth of a foot.
Answers
Given:
Given that ΔTUV is a right triangle. The measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet.
We need to determine the length of TU.
Length of TU:
The length of TU can be determined using the trigonometric ratio.
Thus, we have;
where ,
and
Substituting the values, we get;
Simplifying, we get;
Rounding off to the nearest tenth, we get;
Thus, the length of TU is 100.1 feet.
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7 girls. What is the
probability of randomly
selecting a boy?
Answers
binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
Answers
3y - 6x = 3
3(0) - 6x = 3
0 - 6x = 3
-6x = 3
-6 -6
x = -0.5
Y - Intercept
3y - 6x = 3
3y - 6(0) = 3
3y - 0 = 3
3y = 3
3 3
y = 1
X - Intercept and Y - Intercept
(x, y) = (-0.5, 1)
Answers
Answer:
There are two real, distinct roots to the quadratic equation .
Step-by-step explanation:
Given : -2x² + 3 = 0.
To find : Determine the discriminant and how many real number solutions does the equation have.
Solution : We have given -2x² + 3 = 0.
On comparing ax²+bx +c = 0
Discriminant = b² - 4ac
Where b = -2 , c = 3
Plugging the values
D = ( -2)² - 4 ( -2) ( 3) .
D = 4 + 24 .
D = 28 > 0
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.
Therefore, There are two real, distinct roots to the quadratic equation .
Δ=0-4*(-2)*3=24
2 real solutions
B. 25.00 inches
C. 31.25 inches
D. 24.96 inches
Answers
Given that diameter of a paint can is 6.2483.
And we are asked to find width of four paint cans on a shelf.
Since we can only place paint cans adjacent to each other on a shelf, Total width will be addition of diameters of four paint cans.
Hence width = 6.2483+6.2483+6.2483+6.2483
= 24.9932 ≈ 24.99 inches( rounded off to nearest hundredth of an inch)
Hence correct option is 'A'.
Answers
Answers
Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)