Answer:
1
Step-by-step explanation:
3* 45/9-14
=3*5-14
=1
Answer:
5√3
Step-by-step explanation:
The ratio of side lengths in a 30-60-90 triangle is ...
1 : √3 : 2
__
Multiplying by 5, we have ...
1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10
The value of y is 5√3.
_____
<em>Additional comment</em>
y is the side adjacent to the 30° angle, so can be found from ...
Cos = Adjacent/Hypotenuse
Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse
y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values
y = 5√3
__
The value of x is 5.
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
Solve for x
Subtract 8x from both sides
Add 11 to both sides
Divide both sides by 2
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
<span>The probability that a house in an urban area will develop a leak is 55%. if 20 houses are randomly selected, what is the probability that none of the houses will develop a leak? round to the nearest thousandth.
Use binomial distribution, since probability of developing a leak, p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000
</span>
Answer:
there are 12 sections
here is how to do it:
2 8
_ = _
3 x
so you cross multiply
8 x 3 = 2x
24=2x
12=x
Step-by-step explanation:
