Consider triangle ABC. The legs have a length of 5 units each.

Triangle A B C is shown. Angle A C B is a right angle. The lengths of sides A C and C B are 5. The length of the hypotenuse c is unknown.

What is the length of the hypotenuse of the triangle?

5 units
5 StartRoot 2 EndRoot units
10 units
10 StartRoot 2 EndRoot units

Answer:

9.8.  is the Average Age
30.7 is the Variance

Step-by-step explanation:

9.8 is the Average Age and the 30.7 is the Variance.

The term variance refers to a statistical measurement of the spread between numbers in a data set.

Given that, 4 zebras at a local zoo have ages 14, 15, 9, 1,

We need to find the average age and the variance,

we know that,

Average = Sum of all the values of the set given / Number of values in the set

And,

Variance = sum of all the values of (x - means) ² / (n)

So,

Average age = 14 + 15 + 9 + 1 / 4 = 39/4 = 9.75

Variance =

(14-9.75) ² = 18.06

(15-9.75) ² = 27.56

(9-9.75) ² = 0.5625

(1-9.75) ² = 76.56

= 18.06 + 27.56 + 0.5625 + 76.56 / 4

=  30.68 ≈ 30.7

Hence, 9.8 is the Average Age and the 30.7 is the Variance.

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Answer & Step-by-step explanation:

For this problem, all we have to do is multiply the two expressions.

f(x) = 3x + 1

g(x) = x² - 6

Now, let's set up our equation for multiplication.

(f * g)(x) = (3x + 1)(x² - 6)

(f * g)(x) = 3x³ - 18x + x² - 6

(f * g)(x) = 3x³ + x² - 18x - 6

So, (f * g)(x) is 3x^3 + x^2 - 18x - 6

the correct Answer is

3x^3+x^2-18x-6

Answer:4

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Y=e^x

The length of other leg is 30 ft

Look at the attached picture

Hope it helps...

Good luck on your assignment

Answer:

[tex] = 30ft[/tex]

Step-by-step explanation:

[tex]h = 34ft \\ p = 16ft[/tex]

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {34}^{2} = {16}^{2} + {b}^{2} \\ 1156 = 256 + {b}^{2} \\ 1156 - 256 = {b}^{2} \\ 900 = {b}^{2} \\ \sqrt{900} = b \\ 30ft = b[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

x-y=5

-x+y=5

or x-y=-5

so it is a system of two parallel lines.

so no solution.

or they do not intersect atmany point.

Answer:

25/36

Step-by-step explanation:

The dicisors of 12 on a die are 1,2,3,4,6

So 5/6 per die

5/6*5/6 = 25/36

Answer:

The length of the box is 10 feet.

Step-by-step explanation:

You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10

Answer:

C) 3

explanation:

parallel lines never touch, they are the same slope with different y-intercepts.

Right here the slope is 3, which means the slope is going to be 3

As a rule, parallel lines will always have the same slope.

The || symbol represents "parallel".

So if the slope of a line is parallel to this graph, the line

must have a slope of 3 since this line has a slope of 3.

As a quick review, remember that slope describes how steep a line is.

It can be found using the ratio rise/run between

any two points that are on that line.

Answer:

The graph is reflected over the x axis and shifted up three units

Answer:

8

Step-by-step explanation:

Multiply the right side by 3

3x = 24

x = 8

Answer:

x=8

Step-by-step explanation:

24 × 7 = 21 × X

168 = 21× X

168/21 = X

8 = X

[tex]3-(x+1)=3-x-1[/tex]

[tex](+3)-(x+1)[/tex]

[tex](+3)-1(x+1)[/tex]

Distribute the -1 to (x+1)

[tex](+3)-1x-1[/tex]

[tex]3-x-1[/tex]

[tex]-x+2[/tex]

3-1(x+1) = 3-x-1

Step 1. distribute the negative sign

2(-x-1) = 3-x-1

Step 2. distribute the 3

-2x-3= 3-x-1

add 3 on both sides

-2x = 6 - x - 1

add x to both sides

-1x = 6 - 1

-1x=5

x=5

SO..... u have to plug 5 in

Answer:

47°

Step-by-step explanation:

In the picture attached, the problem is shown.

When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:

∠ABC = 1/2*(arc DE - arc AC)

Replacing with data from the picture:

∠ABC = 1/2*(142° - 48°)

∠ABC = 47°

Answer: 9%

Step-by-step explanation:

SI = prt/100

1620 = (9000 x r x 2) / 100

Answer:

The answer is B.

Step-by-step explanation:

Since they all have a common denominator, you can group the numerators together. Therefore, we have...

[tex]\frac{(9x-5)+(3x-8)-(5x+3)}{4x-1}[/tex]

Now, we simply need to simplify.

[tex]=\frac{9x-5+3x-8-5x-3}{4x-1} =\frac{7x-16}{4x-1}[/tex]

This cannot be simplified further.

The equation for the circumference is 2 pi r. You have the circumference given.

Now, divide that by pi to get 2 r.

This is approximately 11.63.

Now, divide that by 2 to get the radius.

Radius = 5.14 yards.  

Answer:

Yes

Step-by-step explanation:

400+225=625

625=25^2

Answer:

You can change the number of bacteria which is y, by the number of hours. So the equation would be like = t is 10y. ( In this case, y is  1 cell )

Step-by-step explanation:

I hoped this helped!

Answer:

Is there a picture to it.

that will me helpful for me

Step-by-step explanation:

Willing to help

Answer:

The correct answer is A. {R,G,Y,B}.

Step-by-step explanation:

The sample space for the given information is A. {R, G, Y, B}.

A sample space can be defined as a set of all possible outcomes of a random experiment.

The sample space is represented by the symbol, ‘S’. Sample space can also be expressed using the set notation, {}.

Given that, a bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B), we need to find the sample space for this data,

So,

Since, the sample space is the all the data in the set,

Therefore, the whole set is = 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).

Therefore,

S = {R, G, Y, B}

Hence, the sample space for the given information is A. {R, G, Y, B}.

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Answer:

It's A.

Step-by-step explanation:

-1 3/8  means 1 and 3/8 less than zero so  its 0 - 1 then -  another 3/8.

Answer:

a

Step-by-step explanation:

this is because a is equal to -1 +-3/8 which is -1 3/8

Answer:

2:5

Step-by-step explanation:

Answer:

(-8,-7)

Step-by-step explanation:

assuming that the top part of the y-axis is north and the bottom part is south

we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)

Answer:

-6p^5+48p

Step-by-step explanation:

-6p (p^4- 8)= -6p^5+48p

Solution,

-6p(p^4-8)

= -6p^5+48p

Hope it helps

good luck on your assignment

Answer:

None of these, it's $70,000.

Step-by-step explanation:

5% of $100,000 is $5,000

$5,000 · 6 (# of years) = $30,000

$100,000 - $30,000 = $70,000

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]

                                       = [tex]\frac{1}{3}\times 568516\times 481[/tex]

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = [tex]\frac{1}{3}(555025)(471)[/tex]

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

Answer:

x = 0

Step-by-step explanation:

x² -16 = -16

x² = - 16 + 16

x² = 0

√x² =√0

x = 0

Answer:

1/6 = 0.1667 = 16.67%

Step-by-step explanation:

If there are 24 students in the class and 7 of them take neither courses, we have 17 students that take one or both courses.

To find the students that took both courses, we can use the formula:

N(Spanish or French) = N(Spanish) + N(French) - N(Spanish and French)

17 = 13 + 12 - N(Spanish and French)

N(Spanish and French) = 8

Then, the number of students that are taking only French is:

N(only French) = N(French) - N(Spanish and French)

N(only French) = 12 - 8 = 4

So the probability of chosing a student that took only French is:

P(only French) = N(only French) / N(total)

P(only French) = 4 / 24 = 1/6