<span>D. m < Y = m < H
It is because they both are adjacent angles to perpendicular. and opposite sites are equal to their magnitude is same
Hope this helps!</span>
Answer:
y = 8
x = 8√5
z = 4√5
Step-by-step explanation:
Using the formula (which is a geometric mean):
a y
---- = -----
x a
Where a is the altitude (y), x is a projection (16), and y is the other projection (4):
y 4
---- = -----
16 y
Cross multiply:
y² = 16 (4)
y² = 64
√y² = √64
y = 8
To find x and z, use the Pythagorean Theorem:
16² + y² = x²
256 + 8² = x²
256 + 64 = x²
320 = x²
√320 = √x²
√64√5 = √x²
8√5 = x
x = 8√5
4² + y² = z²
16 + 64 = z²
80 = z²
√80 = √z²
√16√5 = √z²
4√5 = z
z = 4√5
80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5
Answer:
Step-by-step explanation:
No
2(3x-6)=6x-12
2(3x)-6=6x-6
Answer:
The correct answer is 0.5.
Step-by-step explanation:
The probability of a spinner landing on the shaded part follows binomial distribution.
Equation to be used is P(r) = ![\left[\begin{array}{ccc}n\\r\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cr%5Cend%7Barray%7D%5Cright%5D)
× 
× 
, where n is the number of times the spinner is spun and r is the number of times the spinner falls on the shaded region.
The probability of the spinner landing on the shaded part is p = 
. The probability of it landing on the unshaded part is q = 
.
The spinner is spun n = 3 times.
We need to find the probability of it landing on the shaded part r = 2.
∴ Putting the values in the equation gives,
P(r) = ![\left[\begin{array}{ccc}3\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
× 
× 
= 3 × × 
= 0.5
