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4 years ago

Express answer in exact form.

1 answer:

3 0

A chord and a radius form an equilateral triangle.
The area of the larger segment is:
A = 5/6 r² π + r²√3/2 = 5/6 · 64 · 3.14 + 32 · 1.73 =
= 167.47 + 55.36 = 222.83 in²

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A company has an inventory of books that is decreasing at a constant rate. After selling the book for 4 days, they have 8.840 bo

lbvjy [14]

Answer:

The linear equation is:

$B(d) = 9500 - 165d$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$y = mx + b$

In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).

A company has an inventory of books that is decreasing at a constant rate. Write a linear equation for B in terms of d.

This means that the situation is modeled by a linear function in the following format:

$B(d) = B(0) + md$

After selling the book for 4 days, they have 8.840 books in stock and after selling it for 10 days they have 7,850 books in stock.

This means that B(4) = 8840, B(10) = 7850

Finding the slope:

The slope, having two points, is given by the change in the output(in this case B) divided by the change in the input(in this case d).

We have the points

(4,8840) -> When d = 4, B = 8840

(10,7850) -> When d = 10, B = 7850

Change in B: 7850 - 8840 = -990

Change in d: 10 - 4 = 6

Slope: $m = \frac{-990}{6} = -165$

$B(d) = B(0) - 165d$

(10,7850) -> When d = 10, B = 7850

We use this to find B(0). So

$B(d) = B(0) - 165d$

$7850 = B(0) - 165*10$

$B(0) = 9500$

The linear equation is:

$B(d) = 9500 - 165d$

5 0

3 years ago

The length of a rectangular garden is 5 m longer than it's breadth. If it's perimeter is 150 m, find the area of the garden.

jonny [76]

Answer:

Step-by-step explanation:

L = B + 5

2L + 2B = 150

Substituting gives 2B + 2(B+5) = 150

4B = 140

B=35; L = 40

Area = B x L = 35 x 40 = 1400 m2

5 0

3 years ago

(I'LL GIVE BRAINLIEST TO WHO EVER HELPS ME!!)

ra1l [238]

Answer:

C) 93 r 3

Your Welcome! ^O^

0 0 9 3

7 2 6 6 9 9

− 0

6 6

− 0

6 6 9

− 6 4 8

2 1 9

− 2 1 6

7 0

3 years ago

what types of problems can be solved using the greatest common factor what types of problems can be solved using the last common

jonny [76]

Answer:

The greatest common factor is the biggest factor that divides two different numbers. For example, the greatest common factor of 6 and 8 is 2. The least common multiple is the smallest number that two numbers share as a multiple. For example, 12 is a the lowest common multiple of 3 and 4.

Step-by-step explanation:

3 0

4 years ago

If 40% of a number is 56. What was the original Number

pentagon [3]

56 divided by 40 is 1.4. Multiply that by 100 and you get 140.

This is the long way of doing it, but it's the way I've always done it.

7 0

3 years ago