17 students said they enjoy summer the most.

4 of the girls said they enjoy winter.

The ratio between boys and girls is 8 : 11.

The probability of picking a student at random who enjoys Summer is 38

Twice as many of the girls chose summer over spring.

7 boys chose summer.

Autumn was chosen by 3 more boys than girls.

The probability of picking a boy at random who chose spring is 18.75%

Answer:

The approximate distance between points D and E is 8.25

Step-by-step explanation:

The figure is as follows :

To find - What is the approximate distance between points D and E ?

Solution -

By Pythagoras Theorem, we get

(DE)² = (FE)² + (DF)²

        = (8)² + (2)²

        = 64 + 4

        = 68

⇒(DE)² = 68

⇒DE = √68

⇒DE = 8.246

∴ we get

The approximate distance between points D and E is 8.25

Answer:

49

Step-by-step explanation:

equilateral triangles have 3 equal sides so you do 147/3

Answer:

y = -5x - 10

Step-by-step explanation:

-8-2          -10

____    =   ___   =     -5

3 - 1           2

Answer:

Step-by-step explanation:

Find the slope:

Use the point (1, 2) and find the equation:

Answer:

20 waves

Step-by-step explanation:

Out of 50 waves, Mark will catch 20 waves. To find this, first, you have to put it into a ratio.

8        x

---  =  -----

20      50

To solve this, you need to multiply 8 x 50, which is 400. Next you need to divide 400 by 20, which is 20 waves.

This means x = 20 waves.

Hope this helped!! :) If you have any questions, make sure to comment!!

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

Start by setting all sides equal to 180

3x - 5 + 7x + 9 + x = 180

Add like terms

11x + 4 = 180

Solve for x

11x + 4 = 180

      - 4     - 4

      11x = 176

     / 11     /11

        x = 16

Now, plug in 16 for all instances of x on the triangle and solve.

∠L = 43°

∠M = 121°

∠N = 16°

Answer:

7 days

Step-by-step explanation:

So! Ms. Masi earns $11.25 everyday, and is paying her brother back everyday. Let's make an equation to solve for the number of days!

11.25d = 72 (d = # of days)

Now, we have to solve this equation to see how many days (d) it will take Ms. Masi to pay her brother back.

11.25d = 72

÷11.25   ÷11.25 (Divide by "11.25" to get the variable by itself)

d = 6.4

Since, she only gets 1 pay per day, Ms. Masi will have to wait til her 7th day to pay her brother back.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

Step-by-step explanation:

we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle

in order to do so we need to figure out the adjacent side (height AB)

since the given triangle is a right angle triangle we can consider Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that,a=21 and c=28

substitute:

[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]

square root both sides:

[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]

use algebraic indentity:

[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]

simplify:

[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]

use redical property:

[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]

now to figure out the area we can consider the following formula:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

remember that,h=AB=7√7 and b=BC=21 thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]

simplify multiplication:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

hence,

the area of the triangle is 194 (approximately)

note: you can also use horon's formula but I like to keep things simple

Please find attached photograph for your answer.

Answer:

A. Alternate Interior

Step-by-step explanation:

A. Alternate interior

Step-by-step explanation:

Angles a and b are alternate interior angles,

Alternate interior angles are equal.

Also,

a = b

Answer:

(x,y)↦ ( x + 1 ) , ( y + 9 )

scale factor 2  

Step-by-step explanation:

Step 1 identify the translation.

To do this we find the center of ⨀T and the center of ⨀T' and find the difference between their x and y values.

The center of ⨀T is at ( -1 , -7 )

The center of ⨀T' is at ( 0 , 2 )

we now find the difference between the x and y values. ( note that you must subtract the x and y values from the preimage from the translated image to get the correct translation. )

For the x values: 0 - ( - 1 ) = + 1

For the y values:  2 - ( -7 ) = + 9

So translation was (x,y)↦ ( x + 1 ) , ( y + 9 )

step 2 Find the scale factor

We can identify the scale factor by dividing the radius of the preimage by the radius of the dilated image.

The radius can be identified by finding the distance between the center and any point on the circle

The radius of the preimage is 3

The radius of the dilated image is 6

So scale factor = 6 / 3 or 2

Answer:

x ≠ 4/5, x ≠ 9/4

You can also write it as "all real numbers except 4/5 and 9/4."

Step-by-step explanation:

The denominator of a fraction cannot equal 0. We can write this relation to find what x does NOT equal:

(5x - 4)(4x - 9) ≠ 0

We can use the zero-product property to get two separate equations:

5x - 4 ≠ 0

5x ≠ 4

x ≠ 4/5

4x - 9 ≠ 0

4x ≠ 9

x ≠ 9/4

Answer:

0.54 cents

Step-by-step explanation:

4 cups per quart = 8 cups per 2 quarts

4.32/8 = .54

45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

Answer:

Volcanic Eruptions, Earthquakes, Erosion

I am very sorry if this is wrong

Have a great rest of your day and good luck!

Answer:

the answer is a, b, and d

Step-by-step explanation:

erosion is caused by wearing down overtime

Answer:

3

Step-by-step explanation:

Answer:

90 degrees and 180 degrees

Step-by-step explanation:

90 degrees and 180 degrees

Answer:

12/25

Step-by-step explanation:

If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental  probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.

Answer:

a 150

Step-by-step explanation:

Answer:

120cm^2

Step-by-step explanation:

el volumen del prisma triangular es = b * l

b = 1/2 (4) (6/2) (2) = 12

l = 10

12 * 10 = 120

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

Explanation:

Your teacher wants you to find the slope

m = slope

m = (y2-y1)/(x2-x1)

m = (-1-2)/(3-9)

m = -3/(-6)

m = 1/2

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

Extra info:

We can think of the slope as

slope = rise/run

and furthermore,

Essentially we subtract the corresponding y coordinates together, subtract the x together (in the same order as the y values), then divide the differences.

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

Answer: D or y remains unchanged

Step-by-step explanation:

Answer:

D or y remains unchanged

Step-by-step explanation:

Answer:

look at the picture i have sent

Answer:

d

Step-by-step explanation:

this shape is made up of a triangular prism and a rectangular prism. the formula for the volume of a prism (any prism, doesn't matter) is base area times height. the base areas of the rectangular prism can be found by multiplying 4*12, as these are the dimensions of the base rectangle. 4*12=48. we now multiply this number by the height of the rectangular prism as shown in the volume of a prism formula. the height of the rectangular prism is 14, so 48*14=672. the volume of the rectangular prism is 672 cm^3.

now for the triangular prism. the bases of the triangular prism are the two triangle shapes on the ends; a prism is named after the shape of its base, so be sure to note that you use the triangles for the formula and not the rectangle on the bottom. to find the area of one of these bases (they are both the same), we use the triangle area formula, 1/2*base*height. the base of the triangle shape is 4 units long, as seen by the measurements of the rectangle this triangle sits on top of. to find the height of this triangle, which isn't given, we must use the pythagorean theorem, a^2+b^2=c^2. c in this case is equal to 4 as that is the hypotenuse, and a and b are interchangeable. since the pythagorean theorem only works for right triangles, we must cut the base length in half to assume that the final side is a vertical line, which will give us the height of the original triangle. (note: halving the base length in order to apply the pythagorean theorem only works in this case because both of the other sides are equal length, as we can see on the far triangle, so make sure this applies before trying it in another context) the halved base length is 2, and this number can be either a or b, doesn't matter because the formula adds them. so: (2)^2+b^2=4^2. 2^2 is 4, and 4^2 is 16. 4+b^2=16. subtract 4 from both sides, leaving you with b^2=12, and to get rid of the square on b you take the square root of both sides. so the height of this triangle is the square root of 12, which doesn't need to be simplified if you have a calculator that can process square root input. so to find the area of this triangle, we convert the equation 1/2*base*height into 1/2*4*square root of 12. this gets you about 6.93. to find the total volume of this prism, you multiply the base area times height. as we just figured out, the base area is 6.93, and the height is 12, because this is the length between the two bases, which are the triangles. so, 6.93*12=83.16 is the volume of the triangular prism. the final step is to add this to the volume of the rectangular prism, which is 672. 672+83.16= 755.16 cm^3.

hope this helps! :)

Answer:

no lol

Step-by-step explanation:

Answer:

i will tell you what to do and then you do the work

Step-by-step explanation:

arrange the numbers from lowest to largest

count the amount of numbers to find how many students wrote each test

to find the mean add all of the numbers up then divide by the amount of numbers there are

to find the mode it that is the number that appears the most or the most common value

to find the median is the middle number, when you put it from lowest to largest, it will be the middle number

hope this helps

Answer:

Step-by-step explanation:

radius = diameter / 2 = 5/2 = 2.5 in

V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)

cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

Answer:

The answer is 8.5

Step-by-step explanation:

Just list all the numbers and cross them out one by one.

Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.

After answering the query, we may state that area of shaded region = 100.48-64 =  36.48 sq cm.

Each point in the plane that is a certain distance from the centre (another point) forms a circle. Thus, it is a curve composed of points whose are separated from another point in the plane by a certain distance. Additionally, at every angle, it is alternately symmetric about the centre. The closed, two-dimensional plane of a circle has every pair of points equally separated from the "centre." By drawing a line through the circle, one may create a line of circular symmetry. Additionally, at every angle, it is rotationally equal about the Centre.

here, by Pythagoras theorem

diagonal =  [tex]\sqrt(8^2 + 8^2) = \sqrt(64+64) = \sqrt(128) = 8\sqrt2[/tex]

radius = [tex]4\sqrt2[/tex]

area of circles = [tex]\pi r^2 = 3.14 * (4\sqrt2)^2 = 100.48 cm^2[/tex]

area of square = 8*8 = 64 sq cm

area of shaded region = 100.48-64 =  36.48 sq cm.

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ1

Answer: -1/2 and -3/2

Step-by-step explanation:

Answer:

120miles

Step-by-step explanation:

I am not sure exactly I just guessed that since it's 40 miles an hour, it would be 40 x 3 ~ but am not sure... hope it works out!

btw am rlly bad at this :'')

- sry if am wrong