Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Answer:
49
Step-by-step explanation:
If the smaller number is
x
, then the larger number is
2
x
−
3
Explanation:
(
x
)
+
(
2
x
−
3
)
=
75
3
x
−
3
=
75
3
x
=
78
x
=
26
The numbers are 26 and 49.
2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10
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Answer:
Option D.
Step-by-step explanation:
In this question figure of pyramid is attached below the question .
Surface area of the rectangular pyramid :
Area of the Base = Length × Width
= 10 × 2 = 20 cm²
Area of Lateral #1 = 
= 
= 31.5 cm²
Area of Lateral #2 = 
= 
= 8 cm²
Surface area of the pyramid = 20 + 2(31.5) + 2(8)
= 20 + 63 + 16
= 99 cm²
Surface area of the pyramid is 99 cm²
Answer: 
Step-by-step explanation:
Given
The length of the rectangular prism is
width of the rectangular prism is 
height of the rectangular prism is 
The surface area of the rectangular prism is ![2[wl+lh+hw]](https://tex.z-dn.net/?f=2%5Bwl%2Blh%2Bhw%5D)
Put the values
![\Rightarrow 2[8\times 12+15\times 12+15\times 8]\\\Rightarrow 2[96+180+120]=2\times 396\\\Rightarrow 792\ m^2](https://tex.z-dn.net/?f=%5CRightarrow%202%5B8%5Ctimes%2012%2B15%5Ctimes%2012%2B15%5Ctimes%208%5D%5C%5C%5CRightarrow%202%5B96%2B180%2B120%5D%3D2%5Ctimes%20396%5C%5C%5CRightarrow%20792%5C%20m%5E2)
The surface area of the rectangular prism is 