I need to find out x y and z and am very lost and confused please help!

Mathematics

2 answers:

Law Incorporation [45]4 years ago

4 0

I dont know the answer becouse im not there but i can show you how to get the answer..

you know the rulers the are half way cut?use that and measure each angle

(i hope i helped!)

zhenek [66]4 years ago

4 0

X^2 = 6^2 + 17^2
x^2 = 36 + 289
x^2 = 325
x = 18.0277563773 

1/2 Vertex angle = arc tan (6/17)
1/2 Vertex angle = arc tan (0.3529411765 )
1/2 Vertex angle = 19.44 Degrees

So, the other "half of the vertex angle = 90 - 19.44 degrees = 70.56

cosine (70.56) = 17 / z
z = 17 / cosine (70.56)
z = 17 / 0.33282
z = 51.0786611382 

half of y^2 = 51.0786611382^2 - 17^2
half of y^2 = 2609.0296236711 -289
half of y^2 = 2,320.03 
half of y = 48.1666858282 
y = 48.1666858282 + 6
y = 48.1666858282

wow - lots of work!!

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Answers:

Problem #1: Option C, 166 yards cubed

Problem #2: Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.

Divide the diameter by two to get the radius

$Radius = \frac{Diameter}{2}$

$Radius = \frac{5.2\ yd}{2}$

$Radius = 2.6\ yd$

Plug in the values

$V_{cylinder} = (\pi * radius^2)*height$

$V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd$

Simplify the exponent

$V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd$

$V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd$

Simplify the expression

$V_{cylinder} = (21.237\ yd^2)*7.8\ yd$

$V_{cylinder} = 165.65\ yd^3$

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.

Make an expression to represent the scenario

$32(x + 32) = 28(20 + 28)$

We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.

Distribute both sides