Answer:
x = 30
Step-by-step explanation:
As we know, the angles inside of a triangle added together all equal 180°, so you would combine 3x + 2x + x = 180°. And then from there you can solve.
3x + 2x + x = 180°
[Combine like terms] 6x = 180°
[Divide 6 from both sides of the equal sign] x = 30°
Hope this helps!!
Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
Answer:
Okay, so this is confusing because of the negitave. Is that supposed to be there?
Step-by-step explanation:
The answer is A.
We know this because the exponents are in the form 2*t.
The final form will be (1/2)^2t
So I am not sure where the negitave came form because in every number sentence I solved they had no negitave exponent. Hope this is useful.
Answer:
C
Step-by-step explanation:
The perimeter would be 2*(4(2x+1) + 3(x+4)) because the right side length and the top side length are known. The left side length must equal the right side length and the bottom side length must equal the top side length. So the answer must be:
2*(4(2x+1) + 3(x+4)) = 2*(8x+4+3x+12) = 2*(11x+16) = 22x+32
C. 22x+32
Answer: 151
Step-by-step explanation:
When the prior estimate of population proportion is available , then the formula for sample size: ![n=p(1-p)(\dfrac{z^*}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz%5E%2A%7D%7BE%7D%29%5E2)
, where p= prior estimate of population proportion
z*= critical-value.
E= Margin of error.
Let p be the proportion of of girls "wait for their missionary".
p = 11% =0.11
E= ± 0.03
The critical z-value corresponding to 90% confidence level = z*=1.645 [using z-table ]
Substitute all the values in the above formula , we get
Required sample size :![n=(0.11)(1-0.11)(\dfrac{(1.96)}{0.05})^2](https://tex.z-dn.net/?f=n%3D%280.11%29%281-0.11%29%28%5Cdfrac%7B%281.96%29%7D%7B0.05%7D%29%5E2)
![\Rightarrow\ n=(0.11)(0.89)(39.2)^2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20n%3D%280.11%29%280.89%29%2839.2%29%5E2)
[Rounded to next integer.]
Thus, the number of observations he needs in his sample = 151