Find the missing side using special right triangles

Answer:

It's 130

Step-by-step explanation:

Answer:

Here we will use the relationships:

[tex]a^n*a^m = a^{n + m}[/tex]

[tex](a^n)^m = a^{n*m}[/tex]

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

And a number:

[tex]a^n[/tex]

is between 0 and 1 if a is positive and larger than 1, and n is negative.

if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

A) [tex]5^3*5^{-4} = 5^{3 + (-4)} = 5^{-1}[/tex]

This is between zero and 1,

B) [tex]\frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}[/tex]

This is greater than 1, because the exponent is positive.

C) [tex](\frac{1}{4})^3*( \frac{1}{4})^2 = (\frac{1}{4})^{2 + 3} = (\frac{1}{4})^5[/tex]

Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.

D) [tex]\frac{(-7)^5}{(-7)^7} = (-7)^{5 - 7} = -7^{-2}[/tex]

The exponent is negative (and pair) then the expression is between 0 and 1.

Remember that when the exponent is pair, we always have that:

(-N)^m = (N)^m

So (-7)^-2 = 7^-2

Answer:

what are you saying

Step-by-step explanation:

this question is not correct

Answer: 83 cards

Step-by-step explanation:

38 x 2 + 7 = 83

Answer:

$950

Step-by-step explanation:

The difference between each y function is $110, so if you continue the pattern, the 5th term will be $950.

Hope this helps :)

Answer:

weak positive

Step-by-step explanation:

⠀⠀ ⠀ ⠀⠀ [tex]\huge{\tt{\red{❥}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}[/tex][tex]\longmapsto- 1 = 7 - 6[/tex]

Answer:

Scalene Acute Triangle

Step-by-step explanation:

The triangle above is an "acute triangle" because the measurement of each angle is less than 90°. However, there are three types of acute triangle and these are: Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.

When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If none of the angles are the same but all are less than 90°, which also means that the sides are also unequal, then it is an Scalene Acute Triangle.

The triangle above has different angle measurements of less than 90°. Therefore, it is an Scalene Acute Triangle.

Answer:

C

Step-by-step explanation:

When reflecting around the x axis, the x value stays the same and the y- will change.

Answer: -8x-4

Step-by-step explanation:

The equation is supposed to be simplified.

-2x-6x=8x

8x-4

Answer:

3k + 9

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer:

1/6

Step-by-step explanation:

in case of one fair die, each face has the same probability, thus, P of each number is equally 1/6

Step-by-step explanation:

[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 20 \\ a2 = 16 \\ d = - 4 \\ an = 20 + (n - 1) \times - 4 \\ an = 20 - 4n + 4 \\ an = 24 - 4n \\ a23 = 24 - 4 \times 23 \\ a23 = - 68[/tex]

Answer:

f(2) = 30

Step-by-step explanation:

f(x) = 2x² − 3x + 28

f(2) = 2(2)² - 3(2) + 28

f(2) = 2(4) - 6 + 28

f(2) = 8 - 6 + 28

f(2) = 30

Answer:

24y = 4x +3

Step-by-step explanation:

by this expression you can find the answer

Answer:

23 and 14

Step-by-step explanation:

Answer:

I cant see that, its upside down.

Step-by-step explanation:

Answer:

$84

Step-by-step explanation:

105 - 21 = 84

Answer:

$84

Step-by-step explanation:

Answer:

6 x's and 9 ones

Step-by-step explanation:

Answer:

a 9 cause they both expand by one

Answer:

Volume of figure = Volume of big cuboid+ The volume of small cuboid

                            = 22(5)(8) + 12(5)(8) = 1360[tex]cm^{3}[/tex]        

Answer:

Coefficients: 5

Constants: 9

Terms: 5m, 9

Step-by-step explanation:

Answer:

Terms: 5m, 9

Coefficients: 5

Constants: 9

Step-by-step explanation:

Answer:

1 1/2 y

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

recall that graphically, a solution to two equations when expressed in a graph, is simply the coordinate of the point of intersection.

in our case, it clear that the blue and red lines intersect at (-2,0)

if we compare this to your question, it is clear that [?] = 0

Hello there!

Step-by-step explanation:

If Jack runs 34 miles, and Pranav runs 18 less, this signifies that we need to subtract 18 from Jack's total miles to get his miles ran.

34 - 18 = 16

Pranav ran 16 miles.

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

Answer:

Yes, that is correct. Congrats 7 year old.

Step-by-step explanation:

2 plus 2 equals 4

:)

thanks for points

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

==========================================================

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

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

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.