Answer:
k = 10.39
Step-by-step explanation:
tangent 30 = opposite side / adjacent side, opposite side = 9, adjacent side = k + 3sqrt3.
tan 30 = 9/(k + 3sqrt3)
0.5774 = 9/(k + 3sqrt3)
k + 3sqrt3 = 15.5885
k = 15.5885 - 3sqrt3
k = 10.392
Answer:
10 sculptures
Step-by-step explanation:
He makes 1 sculpture for every 5 paintings. We can break it down like this to simplify:
We know that if he made 50 paintings in total, thats 10 groups of five paintings (5x10=50)
For every group of 5 paintings, he makes one sculpture
So if there are 10 groups of five paintings, he made 10 sculptures.
Using the slope concept, it is found that the distance from point A to point B is of 392 feet.
<h3>What is a slope?</h3>
- The slope is given by the <u>vertical change divided by the horizontal change</u>.
- It's also the tangent of the angle of depression.
At point A:
- The vertical change is of 108.
- The horizontal change is the position
, that we want to find.
Hence:



At point B:
- The vertical change is of 108.
- The horizontal change is the position
, that we want to find.
Hence:



Then, the distance is:

The distance from point A to point B is of 392 feet.
You can learn more about the slope concept at brainly.com/question/26342863
Answer:
y=5/16 - x/2
make y the subject of the formula and simplify afterwards
Answer:

Step-by-step explanation:
First, we can make an equation by adding all the ages together and dividing it by the sum of the frequencies.

Now simplify.

We can divide this number by the sum of the frequencies.
