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anzhelika [568]
3 years ago
11

A rectangular parcel of land is 90 ft wide. the length of a diagonal between opposite corners is 30 ft more than the length of t

he parcel. what is the length of the parcel?
Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

solution:

One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30

According to Pythagoras,

C² = a² + b²

So,

(x +30) = x² + 90²

Use FOIL to expand the binomial:

x² + 60x + 900 = x² + 8100

60x = 7200

X = 7200/60

X = 120


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What is the equation of the line that passes through (0,-3) and (2, 2)?
tigry1 [53]

Answer:

y = \frac{5}{2}x -3

Step-by-step explanation:

Given points (0,-3) (2, 2), we can start by solving for the slope of the line by using the formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0,-3)

(x2, y2) = (2, 2)

Plug in these values into the slope formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{2 - (-3)}{2 - 0} = \frac{5}{2}

Therfore, the slope of the line is \frac{5}{2}.

Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Using the slope (m) =  \frac{5}{2} and one of the given points, (2, 2), plug in these values into the  slope-intercept form, y = mx + b:

y = mx + b

y = \frac{5}{2}x + b

2 = \frac{5}{2}(2) + b

2 = 5 + b

Subtract 5 on both sides of the equation to solve for b:

2 - 5 = 5 + b - 5

-3 = b

The y-intercept (b) = -3.

Therefore, the equation of the line that passes through (0,-3) and (2, 2) is:

y = \frac{5}{2}x -3.

4 0
3 years ago
11 M - 30 from 20 m + 30
Luden [163]

Answer:

11 m - 20 m

Step-by-step explanation:


4 0
3 years ago
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard devi
alexira [117]

Answer: 0.8490

Step-by-step explanation:

Given :  The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.

i.e. \mu=30 and \sigma=0.9

Let x denotes the lengths of aluminum-coated steel sheets.

Required Formula : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-

P(29.82

∴ Required probability = 0.8490

3 0
4 years ago
(Pts: 1) Please help me! Question is in attachment!
Sloan [31]
- - Solve:

To find the volume of a sphere:
 \frac{4}{3} *3.14*R^3

3.14≈π

Now since its telling us to use π, then we do our formula by multiplying by π.

π=3.14 (Approximate amount)

So:

4/3*3.14*9^3=3052.08

So you are correct.

When Radius=9, you plug in for R. :)

8 0
4 years ago
Read 2 more answers
when converting into scientific notation moving the decimal point to the left means the exponent on the 10 should be positive. I
harina [27]
This is false, since moving the decimal point to the left makes the number smaller. Therefore, the number on the exponent should be negative.
5 0
3 years ago
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