In polygon FGHJ, what is the length of HJ if H is at (-3, 5) and J is at (-3, -1)?

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

c. 2/13

Step-by-step explanation:

The bag starts with 8 red marbles, 4 green marbles, and 2 yellow marbles. Since he draws a red marble from the bag and does not replace it, there will be one less marble.

So now there are 7 red marbles, 4 green marbles, and 2 yellow marbles. Add the number of marbles together and then find the probability of drawing a yellow marble.

7+4+2 = 13

2/13

So the probability of Bill drawing a yellow marble would be 2/13.

Answer:

C(third option)

Step-by-step explanation:

(x-5) would mean 5 units to the right. Also, if the f is negative, then there would be a reflection over x-axis. Use a transformation chart next time if you forget.

Answer:

40π ft. is the circumference of the circle.

Step-by-step explanation:

1. Multiply the area by two (2). That is your answer.

Hope this works out for you!! :)

Answer:

18

Step-by-step explanation:

Answer:

C  F

Step-by-step explanation:

Answer:

2/10 is equivalent to 1:5

6:30 is equivalent to 1:5

8 to 40 is equivalent to 1:5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3x = 60

x = 20

--> 5*20 = 100 cheeseburgers

Answer:

100

Step-by-step explanation:

Ratio of cheeseburgers to hamburgers is 5:3

If we let C be the number of cheeseburgers and H the number of hamburgers we can write this as
C:H = 5:3

or

C/H = 5/3

Multiply both sides by H
==> C = (5/3)H

Given H =- 60, number of cheeseburgers, C = (5/3) x 60 = 100

Answer:

1872 ft.²

Step-by-step explanation:

First lets figure out all of the easy shapes:

The bottom one: 8 * 7 = 56

The one on the left: 5 * 8 = 40

The one of top: 8 * 3 = 24

The slanted rectangle: 5 * 8 = 40

The small rectangle below that : 2 * 8 = 16

Now we just have the polygon facing toward us. It can be broken up into 2 parts:

The lower half: 2 * 7 = 14

Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:

A = ((a + b) / 2) * h

What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:

(3 + 7) / 2 = 5 * 3 = 15

15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:

14 + 15 = 29

Then do the same again for the other identical figure

14 + 15 = 29

Now we have all the areas of our shapes. Let's add them up:

56 + 40 + 24 + 40 + 16 + 29 + 29 = 234

234 is the total surface area of the box. Since there are 8 boxes, multiply this by 8 to get your final answer:

234 * 8 = 1872 ft.²

Don't forget to include units!

The solution is : 1872 ft.² of the new material is needed to build all 8 containers.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

First lets figure out all of the easy shapes:

The bottom one: 8 * 7 = 56

The one on the left: 5 * 8 = 40

The one of top: 8 * 3 = 24

The slanted rectangle: 5 * 8 = 40

The small rectangle below that : 2 * 8 = 16

Now we just have the polygon facing toward us. It can be broken up into 2 parts:

The lower half: 2 * 7 = 14

Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:

A = ((a + b) / 2) * h

What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:

(3 + 7) / 2 = 5 * 3 = 15

15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:

14 + 15 = 29

Then do the same again for the other identical figure

14 + 15 = 29

Now we have all the areas of our shapes. Let's add them up:

56 + 40 + 24 + 40 + 16 + 29 + 29 = 234

234 is the total surface area of the box.

Since there are 8 boxes, multiply this by 8 to get your final answer:

234 * 8 = 1872 ft.²

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Answer:

Your answer is B

Step-by-step explanation:

it is B

I hope you have a great day

Answer:

12:3

explanation: i dont have an explanation bc i didnt do it

Answer:

its 5 as i personally think

Step-by-step explanation:

Hellooozzz Human

n :}

Answer:

b,b,d,d,d

Step-by-step explanation:

the first answer  is b

the second answer is b

the third answer is d

the fourth answer is d

and the last is also d

Answer:

\(3x = 90 \\ x + y = 90 \\ x + y + z = 360\)

Answer:

B

Step-by-step explanation:

Basically you can put the amount of hours that you practice on every week in to a graph or a chart meaning you can store the data making it easier to read. Whereas with the other questions, you cannot.

Answer:

33 ft

Step-by-step explanation:

We know that 3 ft = 1 yd

Multiply 11 yds by 3 ft/1 yd

11 yd * 3ft/1 yd = 33 ft

Answer:

33 feet

Step-by-step explanation:

1 yard = 3 feet

11 yards = 33 feet

Answer:

\(m = \frac{725 - 400}{50 - 25} = \frac{325}{25} = 13\)

So the correct answer is J. c = 13p + 75

Answer:

Got it! will go to your profile and answer it :)

Step-by-step explanation:

Answer:

2 1/8

Step-by-step explanation:

2/8

+1 7/8 the denominator will stay the say and will become

= 2 1/8

C^2 goes in the first box because it’s the only missing variable from the ones given.

Then c^2 goes in the second box because it hasn’t been changed.

Then 2 goes in the third box because (1/2ab x 4 = 4/2 ab = 2ab)

Then c^2 goes in the last box because it hasn’t been changed either, plus it completes the Pythagorean formula (a^2 + b^2 = c^2) so it seems the most logical

Answer:

x=30

Step-by-step explanation:

firstly, Cross multiply

21 × x = 18 × 35

x = 630 ÷ 21

x=30

Hope it helps!

Mark as brainliest please!

Answer:

Step-by-step explanation:

Given proportion,

→ 21/35 = 18/x

Now we have to,

→ Find the required value of x.

Let's find the value of x,

→ 21/35 = 18/x

→ 21x = 18 × 35

→ 21x = 630

→ x = 630/21

→ [ x = 30 ]

Hence, the value of x is 30.

Answer: Combine like terms in the expression –5x + 2y + 5x – 8y.

Step-by-step explanation:  10x – 6y

–10x + 6y

–6y

–10x – 10y

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

Step-by-step explanation:

ok if you mean 9 + 10 then it's 19, but if you mean -9 + -10 then it's -19 and if you mean 9 - 9 + 10 - 10 then it's 0

i'm just giving you all the answers because the way you worded the question it is a bit hard to tell.

Hope that helps

Answer:

Only if show feet

Step-by-step explanation:

pls

Answer:

Sales increase with a decrease in the price.

Step-by-step explanation:

Answer: 11/20 = 55% and Grid A

Step-by-step explanation:

By doing 11/20 and making the denominator 20 into 100 by multiplying it by 5 we can get 55/100 which is 55%. And by simply counting the squares on the grid we can see 55 squares are shaded and the other 45 aren't showing its 55% shaded.

Answer:

55

Step-by-step explanation:

11/20=0.55