Answer:
Step-by-step explanation:
Corresponding Angles are <em>congruent</em>, therefore you set both angle measures equal to each other:
![\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20135%C2%B0%20%3D%20%5B3x%20%2B%2015%5D%C2%B0%20%E2%86%92%20120%20%3D%203x%3B%2040%20%3D%20x)
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<h3>
Answer: 9.4 feet</h3>
Work Shown:
sin(angle) = opposite/hypotenuse
sin(22) = x/25
x = 25*sin(22)
x = 9.3651648353978
x = 9.4
Your calculator needs to be in degree mode. One way to check is to compute sin(30) and you should get 0.5 or 1/2.
Answer:
44
Step-by-step explanation:
5 1/2 / 1/8
turn into improper fraction
11/2 then change to multiplication
11/2*8/1(have to flip)
88/2(multiply across)
simplify=44
Answer:
Step-by-step explanation:
Look at the picture.
ΔADC and ΔCDB are similar. Therefore the sides are in proportion:
We have
Substitute:
<em>cross multiply</em>
For x use the Pythagorean theorem:
Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
