.45, because it's 45/100.
<h3>
Answer: 38.66 degrees</h3>
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Explanation:
As you stated in problem 4, tan(angle) = opposite/adjacent
We'll use this idea to help find angle Z. First lets set up the proper tangent ratio for this problem
tan(Z) = XY/YZ
tan(Z) = 8/10
tan(Z) = 0.8
To isolate Z, we need to undo the tangent function. We will use the inverse tangent or the arctangent function to do this.
tan(Z) = 0.8
arctan( tan(Z) ) = arctan(0.8)
Z = 38.6598 which is approximate
This rounds to 38.66
Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.
Answer:
Fraction of the students in the 7th grade class carry a cell phone = 3/5
24 students carry a cell phone
Step-by-step explanation:
40 students in the 7th grade, 60% of the students carry a cell phone.
so 40 x 0.6 = 24 students carry a cell phone
24/40 = 3/5
The length of the rectangular base is 9in
<h3>How to determine the value</h3>
It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;
Volume = lwh/3
Where;
- l is the length of the rectangular base of the pyramid
- w is the width of the rectangular base of the pyramid
- h is the height of the rectangular base of the pyramid
Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;
168 = l × 7 × 8/ 3
cross multiply
l × 7 × 8 = 168(3)
Find the product
56l = 504
To determine the length, divide both sides by 56, we get;
l = 504/ 56
l = 9In
Hence, the value is 9in
Learn more about volume here:
brainly.com/question/463363
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