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2 years ago

THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Fed [463]2 years ago

8 0

<h3>Answer: 9 units</h3>

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Explanation:

For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.

Use the pythagorean theorem to find that...

(AD)^2 + (BD)^2 = (AB)^2

(1)^2 + (BD)^2 = (3)^2

1 + (BD)^2 = 9

(BD)^2 = 9-1

(BD)^2 = 8

Normally we would isolate BD itself, but I'll stop short and use that last line instead.

------------------

The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).

Since we have similar triangles, we can form the proportion shown below

AD/BD = BD/CD

This cross multiplies to

AD*CD = (BD)^2

We know that AD = 1 and (BD)^2 = 8, so,

AD*CD = (BD)^2

1*CD = 8

CD = 8

This then means,

x = CD+DA

x = 8+1

x = 9

AC is 9 units long.

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What is the value of y?

NeX [460]

The value of y in the triangle is 2√5

The triangle above is a right angle triangle.

Characteristics of a right angle triangle:

One of its angle is equals to 90 degrees
The sides can be found using Pythagoras theorem.

Using Pythagoras theorem

c² = a² + b²

where

c = hypotenuse(longest side)

a and b are the 2 other legs.

Therefore,

6² = 4² + y²

36 = 16 + y²

y² = 36 - 16

y² = 20

y = √20

y = 2√5

learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults

7 0

2 years ago

Read 2 more answers

Determine whether the ordered air is s solution of the given system of equations, remember to use alphabetical order of variable

Igoryamba

Given your ordered pair you would assume a = 5, b = 2
Set up both equations
5 + 2 = 7
7 = 7 (the numbers are equal so this correct)
2(5) - 8 = 2
10 - 8 = 2
2 = 2 (the numbers are equal so this is also correct)

Because both equations work with the ordered pair they <em>are</em><span> the solution of the given system.</span>

3 0

2 years ago

What is the surface area of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface

irinina [24]

Answer:

TSA = 175.84 ft²

Step-by-step explanation:

We are given;

Lateral surface area; A_L = 75.36 ft²

Area of base; A_b = 50.24 ft²

Height of cylinder; h = 3ft

Formula for total surface area of Cylinder is;

TSA = 2πr² + 2πrh

Now, lateral surface area is given by the formula; A_L = 2πrh

Area of base is given by the formula;

A_b = πr²

Thus, let's apply these 2 formulas to the formula for total surface area;

TSA = 2(Area of base) + Lateral surface area

TSA = (2 * 50.24) + 75.36

TSA = 175.84 ft²

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2 years ago

Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest

Ludmilka [50]

Answer:

$6 \times 10^{7}$

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = $10^{7}$

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = $6 \times 10^{7}$

4 0

3 years ago

Which is the range of the function f(x) = (9)×?

Anna [14]

Using it's concept, it is found that the range of the function $f(x) = 9^x$ is given by:

all real numbers greater than 0.

<h3>What is the range of a function?</h3>

It is the set that contains all possible output values for the function.

In this problem, the function is:

$f(x) = 9^x$

For <u>exponential functions without vertical shifts</u>, as is the case in this problem, the range is given by:

all real numbers greater than 0.

More can be learned about the range of a function at brainly.com/question/10891721

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4 0

1 year ago