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bija089 [108]
3 years ago
12

Angle CAB=90 AB=AC=DE BD=9 CE=8 Find DE

Mathematics
1 answer:
zalisa [80]3 years ago
3 0

Answer:

  29

Step-by-step explanation:

Let x represent the length of DE. Then ...

  AB = x

  AD = AB -BD = x - 9

__

  AC = x

  AE = AC -CE = x - 8

And the Pythagorean theorem applied to triangle ADE tells us ...

  x^2 = (x -9)^2 +(x -8)^2

  0 = x^2 -34x +145 = (x -5)(x -29)

Solutions are the values of x that make a factor zero: 5 or 29.

The length of DE must be greater than 9, so the appropriate solution from the above equation is x = 29.

The length of DE is 29.

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Determine the rate of change for 3/2x -5/4y = 15
Aleksandr-060686 [28]

Answer:

-6/5

Step-by-step explanation:

3/2x - 5/4y = 15

-5/4y = -3/2x + 15

multiply each side by (-4/5)

(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)

y = -6/5x - 12

rate of change: -6/5

6 0
3 years ago
What is the separation method of blood?​
natita [175]

Answer:

Blood separation is one of the crucial processes in a clinical lab and is usually conducted via a process called centrifugation.

7 0
3 years ago
What is the difference of 7 1/6−3 5/8? fractions. with common denominators
lord [1]

Answer: 3 13/24

Step-by-step explanation:

<u>Turn 7 1/6 into an Improper Fraction:</u>

43/6 - 3 5/8

<u>Turn 3 5/8 into an Improper Fraction:</u>

43/6 - 29/8

<u>Subtract:</u>

43/6 - 29/8= 85/24

<u>Turn 85/24 into a Mixed Number (Final Step):</u>

85/24 = 3 13/24

<u>Answer:</u>

3 13/24

Hope this Helps!

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4 0
3 years ago
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
Y=+/-√bx+c+d Use the inverse of the function y= x2 -18x to find the unknown values.<br>​
ozzi

Answer:

a=1

b=81

c=9

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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