I'll do something similar to this, and I challenge you to do this on your own!
<something>-7=-34
Making that something equal to x, we have x-7=-34. Adding 7 to both sides using the addition property of equality (and to separate the x), we have
-34+7=x=-27
Good luck, and feel free to ask with any further questions!
Mean: subtract the smallest number from the biggest number...
62-9=?
Median: the middle number, order the numbers from smallest to biggest....
Mode: the number that is repeated the most...
This should help you. I do not want to give you the answers. I want you to do them yourself with the instructions I gave you and then come back and post them when you are done so I may check them. Okay?
Answer:
X=110
Step-by-step explanation:
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder (), measured in cubic centimeters, minus the volume of the prism (), measured in cubic centimeters. That is:
(1)
(2)
Where:
- Diameter of the cylinder, measured in centimeters.
- Side of the square prism, measured in centimeters.
- Height of the square prism, measured in centimeters.
If we know that , and , then the volume of the cylinder without the prism is:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700