Answer:
x = 15
Step-by-step explanation:
=> x - 3 = 12
=> x = 15
The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>
The value of x is calculated using the following sine trigonometry ratio

Make x the subject

This gives

Hence, the value of x is 11.8310
<h3>Question 2</h3>
This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio

Make h the subject

This gives

Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>
This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio

Make h the subject

This gives

Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
brainly.com/question/6241673
Answer:
The least mood value.
Step-by-step explanation:
If Julio has rated their mood on a scale from 0 to 10, with 10 being the happiest. The least value is 5.
If the fitted line has a y-intercept of 5, the best interpretation of this y-intercept is that the least mood value among the his fellow students is 5.
Intercept actually means beginning, starting point, flat rate e.t.c
Answer: A variable
Step-by-step explanation:
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where
is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.

The length is 3 more than the width:

We can now substitute in
as
in the equation
.

Distribute the first terms:

Combine like terms:

Subtract 6 from both sides:

Divide both sides by 4:

Now we know that w = 4. We can now substitute this inside an equation to find
.

Hope this helped!