Answer:
9
Step-by-step explanation:
KL + KJ = 17
2 + 3x + 5x - 1 = 17 add like terms
8x + 1 = 17 subtract 1 from both sides
8x = 16 divide both sides by 8
x = 2
KL = 5x - 1 replace x with 2
5*2 - 1 = 9
Answer:
Measure angle B = 65 degrees AB = 34 AC = 30
Step-by-step explanation:
Triangle Sum Theorem: 180 - 90 - 25 = 90 + 25 + 65 = 180
Tangent 25 = 16/x
AB = 34
Pythagorean Theorem Equation:
![b =[]\sqrt{34^{2} - 16^{2}}= \sqrt{900}= 30](https://tex.z-dn.net/?f=b%20%3D%5B%5D%5Csqrt%7B34%5E%7B2%7D%20-%2016%5E%7B2%7D%7D%3D%20%5Csqrt%7B900%7D%3D%2030)
AC = 30
Answer : 4123
Explanation:
Answer:
One of the benefits of Cavalieri's principle is that it allows us to determine the volume of an oblique prism (or oblique cylinder). When dealing with two prisms (or two cylinders), if the base areas are equal and the heights are equal, then the volume is V = Bh regardless of the overall shape.
( i cant see the answers well so estimate to the one that applies)
Answer:
139 ft
Step-by-step explanation:
So the zip line forms a right triangle. The height of the triangle is 150 ft, and the opposite angle is 40°. The horizontal distance covered by the zip liner can be found with trigonometry, specifically with tangent.
tan 40° = 150 / x
x = 150 / tan 40°
x ≈ 179 feet
But this includes the 40 ft long body of water, so the amount of ground covered is:
179 ft - 40 ft = 139 ft
