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Charra [1.4K]
3 years ago
14

If the circumference of a circle below is 75 inches what is the length of DE

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
The circumference formula is 2Πr, so simply equal that formula to 75.
2Πr=75
Divide both sides by 2
Πr=37.5
So radius is 37.5/Π.
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A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.
dmitriy555 [2]
<span>A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b 

10b = 30√2; b = 3√2 

sin α = 3√2 / 6; α = 45 degrees 

Small angle: 45°; Large angle: 135°</span><span>
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4 0
4 years ago
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garik1379 [7]

Answer: 7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
malfutka [58]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
7 0
3 years ago
A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of
Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x  with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.



3 0
3 years ago
!!!!!!!!!!!!Send help!!!!!!!!!
sweet [91]

Answer:

C. y = x + 3

Use, desmos.com

3 0
3 years ago
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