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Dovator [93]
4 years ago
11

The number of cubic yards of dirt, D

Mathematics
1 answer:
Sholpan [36]4 years ago
8 0
What is the question exactly?
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A tangent from point P to a circle of radius 4 cm is 10 cm long. Find: <br>a the distance of P from the centre of the circle <br
d1i1m1o1n [39]

Answer:

see explanation

Step-by-step explanation:

a

The tangent and the radius at the point of contact form a right angle

Using Pythagoras' identity on the right triangle formed.

Let x be the distance from the centre to P, then

x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

x = \sqrt{116} ≈ 10.77 cm (to 2 dec. places )

b

let the required angle be Θ, then

Using the sine or cosine ratio in the right triangle.

cosΘ = \frac{adjacent}{hypotenuse} = \frac{10}{\sqrt{116} }

Θ = cos^{-1} ( \frac{10}{\sqrt{116} } ) ≈ 21.8°

7 0
3 years ago
A company's sales increased 20% this year, to $6740. What were their sales last year?
Lesechka [4]

The sales last year of the company is 5617

<h3>How to determine the sales last year?</h3>

The given parameters are:

Company sales = 6740

Percentage increase = 20%

The sales of the company last year (x) to date is calculated as:

Company sales = (1 + Proportion) * Last year sales

Substitute the known values in the above equation

6740 = (1 + 20%) * x

Evaluate the sum

6740 = 1.2 * x

Divide both sides by 1.2

x = 5617

Hence, the sales last year is 5617

Read more about percentages at:

brainly.com/question/843074

#SPJ1

5 0
1 year ago
How many degrees was the figure rotated?
olga_2 [115]

Answer:

180

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help me with this question.
marysya [2.9K]
Answer is d, you can see the graph touches the x line in the point 5 so the answer is (5,0)
4 0
3 years ago
A) Write an equation for the line of best fit.
JulijaS [17]

Answer:

Step-by-step explanation:

For this equation you want to start with signing the equation for the best line of fit. You’re going to take your year in and your rabbitsFrom the table and you’re going to find the slope in the Y intercept which would be your MX and you’re B. If you used as most you want to pull up a table in the graphing calculator and into your data there when you get there and the next box under your table you’re going to put y1~mx1+b There it will show you your slope and your intercept along with other things you will need to know for the equation when you get here sleeping when you said you’re going to round to the second decimal place and then you should get y=8.2x-16451.3 Which will be your best line of fit. Now when you’re trying to estimate the number rabbit at the farm In 2016 you want to put your year where X is so you’ll input your 2016 where x is and you should get 8.2(2016)-16451.3From there you solve it and you’re around to the second decimal space and there you have your just wanna sit and your estimate

7 0
3 years ago
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