simplify the expression​

Answer:

  30 square units

Step-by-step explanation:

The area of the given right triangle can be found a couple of ways:

The missing side length can be found using the Pythagorean theorem relation between the sides:

  c² = a² +b²

  13² = a² +5²

  a² = 169 -25 = 144

  a = √144 = 12

Then the area is ...

  A = 1/2ab = 1/2(12)(5) = 30 . . . square units

__

The angle at lower right can be found from the trig relation ...

  Cos = Adjacent/Hypotenuse

  cos(A) = 5/13

  A = arccos(5/13) ≈ 67.38°

The area can be found from these side lengths and the angle:

  A = 1/2bc·sin(A)

  A = 1/2(5)(13)sin(67.38°) = 30 . . . square units

_____

Additional comment

The sine of the angle can be computed from the cosine using the identity ...

  sin(x) = √(1 -cos²(x))

In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...

  A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem

Answer:

Step-by-step explanation:

Answer: Second point is (0.833,0)

Step-by-step explanation:

1. To determine slope you must use this formula Y= Mx + B

- M is the slope (positive or negative)

- B is the y-intercept

2. To find y-intercept you use (0, B)

3. M = -6/1

- 6 units down and 1 unit to the right since the slope is negative.

Answer:

A) The circumference is equal to the radius of a circle.

Step-by-step explanation:

Here are the options:

A) The circumference is equal to the radius of the circle.

B) The circumference is equal to the diameter of the circle.

C) The circumference is found by multiplying Pi by the radius.

D) The circumference is found by multiplying Pi by the diameter.

The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.

Answer

D or the fourth one because i took the quiz and got it right

Answer:

-The subset consists of all of the outcomes where you do not lose.

-The subset consists of all of the outcomes where your friend loses, or there is a tie.

Step-by-step explanation:

Khan Academy

Statements that describe the subset A are option (a) and option (d).

A set of which all the elements are contained in another set. Subset can be empty or equal to the set.

Given sample of space S = {1,2,3,4,5,6,7,8,9}

And subset M of S = {1,4,7} where you win in the spinner game.

If the spinner lands on the subset N of S = {3,6,9} , you tie.

Given A = {1,3,4,6,7,9,} is a subset of S.

Now to verify the options;

In option (a) ;

The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8},  where you lose.

In option (b) ;

The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.

In option (c) ;

The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.

In option (d) ;

The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.

Hence Correct answers are option (a) and option (d).

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The complete question is ;

You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.

All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?

a) The subset consists of all the outcomes where your friend loses or there is a tie.

b) The subset consists of all the outcomes where your friend ties.

c) The subset consists of all the outcomes where there is not a tie and your friend does not win.

d) The subset consists of all the outcomes where you do not lose.

Answer:

obtuse

Step-by-step explanation:

Over 90 degrees

Answer:

Obtuse

Step-by-step explanation:

The angle is obtuse because the angle is more than 90 degrees.

Answer:B

Step-by-step explanation:

c=2nr  or c=nd

2*3.14 * 10= 62.8

3.14 * 20= 62.8

The circumference of the tires is 62.8 inches.

Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.

Given that, a 20-inch bicycle has tires with a diameter of 20 inches.

Diameter of the tire = 20 inches.

Radius of a circle or a circular object is half of the diameter of it.

Radius of the tire = 20 / 2 = 10 inches

Circumference of a circular object = 2πr, r is the radius.

Circumference of the tire = 2π r

                                          = 2 (3.14) (10)

                                          = 62.8 inches

Hence the circumference of a bicycle tire is 62.8 inches.

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Answer:

D (-2, -3)

Step-by-step explanation: The distance is 10 units, so you take -4 (x) and go over 2 spaces so your at x = -2, and 2 units are down, 8 more to go. Then for (y) you do 5-8 and get -3 so now y = -3 . Now you have moved 10 spaces because 2 + 8 = 10 spaces, and are left at D (-2, -3).

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

Answer:

x = 5 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

200 = 1/3 * 8*15 * x

200 = 40x

x = 5 in.

Answer:

take your time dont rush

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

Answer:

Step-by-step explanation:

[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]

Answer: B, but technically, all of them are correct except C.

Step-by-step explanation:

First, you fill in 1 for n:

= 2 x 4(1)

= 2 x 4

= 8

Next, I filled in 4 for n:

= 2 x 4(4)

= 2 x 16

= 32

Then, I filled in 8 for n:

= 2 x 4(8)

= 2 x 32

= 64

You can already figure this one out, and the answer is B.

Answer:

all are correct except the third choice.

Answer:

A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.

Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

I have to make sure that there is at least one variable that directly effects another.

Some equations are y = 3x, y = 1.5x, and y = 2/3x.

Step-by-step explanation:

Answer:

A

the two are parallel

Step-by-step explanation:

I hope its right

good luck!

Step-by-step explanation:

answer of (ii) : perimeter = 66m

area = 272m^2

Answer:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

C

Step-by-step explanation:

A, B, and D don't make sense

Median income is the income in the middle of the data set when incomes are arranged from least to greatest.

Median is a measure of central tendency that is used to describe the number that is in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the income of 3 workers for march are : $1000, $5000, $10,000. The median income is $5000.

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Answer:

b

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation:

Answer: The runner is going exactly 10.2774922919 meters per second

Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1

Answer:

The number of applicants that have ages that fall within the box of the boxplot = 10.

Step-by-step explanation:

box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The boxplot usually consists of a box and a whisker plot.

The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.

The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.

Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.

The total number of applicants = 20

50% of 20 = 10.

Hence, the number of applicants that have ages that fall within the box of the boxplot = 10

Hope this Helps!!!

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

Answer:

The area of the pizza with a diameter of 18 inches is 254.34 inches.

Step-by-step explanation:

The formula to find the area of a cirlce is A = pi x r^2 or pi times radius squared.

Second, we need to find our radius. To find the radius we need to divide the diameter by 2 to get the radius. In this case; 18 divided by 2 is 9.

Then, we need to plug the radius in the formula:

A = 3.14 x 9^2

9 squared or 9 times 9 equals 81

Next, multiply 81 by 3.14 and you get 254.34

Lastly, add the units of measurement, which would be inches.

Answer:

84.78 in

Step-by-step explanation:

in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is  [tex]2*3.14*13.5[/tex] which equals 84.78  

Answer:

552

Step-by-step explanation:

Answer:

option b ................

Answer:

V =267.9 inch^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 * 3.14 * (4)^3

V =267.946666666

Rounding to the nearest tenth

V =267.9 inch^3

Answer:

True

Step-by-step explanation: