I need help. Find the value of each variable.

I Need Help. Find The Value Of Each Variable.

Answers

Answer 1

Answer:

x = 14√3

y = 7√3

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{21}{x}[/tex]

x = [tex]\frac{42}{\sqrt{3}}[/tex]

x = 14√3

By applying cosine rule in the given triangle,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{y}{x}[/tex]

[tex]\frac{1}{2}=\frac{y}{14\sqrt{3}}[/tex]

y = 7√3


Related Questions

Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.

Answers

Answer:

For this expression:

            a=15  , b=7 and c=4

Step-by-step explanation:

We are asked to find the value of a,b and c by representing the given expression:

in the form of:  

where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.

We know that the expression of the type:

is also written as:

Hence, we get our expression as:

        Hence, we have:

     a=15, b=7 and c=4

a=15  , b=7 and c=4

Step-by-step explanation:

Just had this on a test!

Answer: a=15 b=7 c=4

Step-by-step explanation:

Good

HURRY PLEASE HELP Caitlin wants to collect toys to donate to a local shelter. Her goal is to collect at least 300 toys. On Monday she collects 40 toys. On Tuesday she collects twice as many as on Monday. On Wednesday she collects three times as many as Monday. Which inequality represents the total number of toys Caitlin must collect on Thursday, x, to reach or exceed her goal of 300 toys?

Answers

Answer:

300 ≥ 40 + 80 + 120 + x

x ≥ 60

Step-by-step explanation:

Monday = 40 toys

Tuesday = 2(40) = 80 toys

Wednesday = 3(40) = 120 toys

Thursday = x toys

At least means ≥

300 ≥ 40 + 80 + 120 + x

300 ≥ 240 + x

300 - 240 ≥ x

60 ≥ x

x ≥ 60

Mrs. Kemp began school year with 20 students in her kindergarten class, She had 23 students at the end of the year. What was the percent of increase in the number of students from the beginning of the year to the end of the year?

Answers

Answer:

15%

Step-by-step explanation:

Since 23 is 115% of 20, we can therefore know that it's 15% increase from 20.

Nicky is trying to drink 2.5 liters of water a day. She drank 0.878 liters after breakfast,
1.2 liters after lunch, and 0.75 liters before dinner. How much did she drink
all together?

Answers

Answer:

2.8 liters

She drank 2.8 liters all together.

Step-by-step explanation:

0.878+1.2+0.75= 2.8

Nicky drank a total of 2.828 liters of water throughout the day.

To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.

0.878 liters after breakfast.

1.2 liters after lunch.

0.75 liters before dinner

Adding these values together:

0.878 + 1.2 + 0.75 = 2.828

Therefore, Nicky drank a total of 2.828 liters of water throughout the day.

To learn more on Addition click:

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please help i’ll give brainliest if you help thanks

Answers

Answer:

5

Step-by-step explanation:

as the 2nd term is b, and the coeffiecnt is the number next to the term

Find the indicated angle measure.
Find mZFEH
F
G
35
40°
H
E

Answers

Answer:

E

Step-by-step explanation:

M∠QPS=88 ∘ m, angle, Q, P, S, equals, 88, degrees \qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘ m, angle, R, P, S, equals, 5, x, plus, 34, degrees \qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘

Answers

The correct question is:

[tex]\angle QPS=88[/tex]  

[tex]\angle RPS=5x+34[/tex]

[tex]\angle QPR=8x+15[/tex].

Find ∠QPR.

Answer:

[tex]\angle QPR = 39[/tex]

Step-by-step explanation:

From the attached figure:

[tex]QPS = QPR + RPS[/tex]

This gives:

[tex]88 = 8x + 15 + 5x + 34[/tex]

Collect like terms

[tex]88 - 15 - 34 = 8x + 5x[/tex]

[tex]39 = 13x[/tex]

Divide both sides by 13

[tex]3 = x[/tex]

[tex]x =3[/tex]

Substitute [tex]x =3[/tex] in [tex]\angle QPR=8x+15[/tex]  

[tex]\angle QPR = 8 * 3 + 15[/tex]

[tex]\angle QPR = 24 + 15[/tex]

[tex]\angle QPR = 39[/tex]

Answer:

The right answer is 49, I did it on khan academy

Step-by-step explanation:

Give me 10 reasons why penguins are cute will give Brian list and 50 points

Answers

Answer:

becuz their colour is black and white. b and w is so cute

Please help as soon as possible!!!! Please explain your answer if possible!

Answers

Answer:

The answer is A.

Step-by-step explanation:

First, you have to solve the inequality :

[tex]4 - 3x < - 2[/tex]

[tex] - 3x < - 2 - 4[/tex]

[tex] - 3x < - 6[/tex]

[tex]x > - 6 \div - 3[/tex]

[tex]x > 2[/tex]

Therefore, x > 2, so only option A is suitable for the x values.

The area of a soccer field is 56 square yards. The length of one side of the field is 8 yards. What is the width of the field?

Answers

Answer:

7

Step-by-step explanation:

you divide 56 by 8 and you get 7

Width of the field is 7 yards

Given that;

Area of soccer field = 56 square yard

Length of one side = 8 yards

Find:

Width of the field

Computation:

Area of soccer field = Area of rectangle

So,

Area of soccer field = [Length of one side][Width of the field]

56 = [8][Width of the field]

Width of the field = 56 / 8

Width of the field = 7 yards

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The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

ok, so, since the angles in a traingle all sum up to 180°, that would make:

36°+61°+(4x-17)°=180°

We simplify it:

95°+(4x-17)°=180°

Then, we subtract 95° on both sides:

95°+(4x-17)°=180°

-95°               -95°

Then we get:

4x-17°=85

We add 17° on both sides

4x-17°=85

   +17°  +17°

And we get:

4x=102°

Divide 4 on both sides...

4x=102°

➗4 ➗4

Therefor:

X=25.5

Hope this helps, but tell me if i'm wrong, and have a good day!


The Dodgers beat the Mets by 3 runs. There was a total of 19 runs scored in the
game. How many runs did each team score?
Dodgers:
Mets:

Answers

Answer:

The Mets had 8, and the Dodgers had 11

Step-by-step explanation:

8 + 11 = 19

11 is 3 more than 19

Answer:

Dodgers 11 - Mets 8

Step-by-step explanation:

The Dodgers hit a couple homers probably,

Mets hit runs that are equal to 2 grand slams,

Dodgers 11

Mets 8

What is the equation of the line that passes through the point (-6,4)
and has a slope of -5/6

Answers

Answer:

y = -5/6x -1

Step-by-step explanation:

y-4 = -5/6(x+6)

y = -5/6x -5 + 4

y = -5/6x -1

-4 (x +3) = 8 can somebody help me

Answers

Answer:

x= -5

Step-by-step explanation:

-4 (x +3) = 8

-4x - 12 = 8

-4x = 20

x= -5

The answer is x=-5
You distribute to get
-4x-12=8
-4x=8+12
-4x=20
Divide both sides by -4
X= -5

find the missing value and please show how

Answers

Answer:

Step-by-step explanation:

∠YUV = 29 + 62  {Exterior angle property}

          = 91

Exterior angle property : Exterior angle equal the sum of opposite interior angles.

91 hopes this help brainless

WILL GIVE BRAINLIEST!
Two angles of a triangle measure 44° and 94°. Find the measure of the third angle.
°

Answers

Answer: 42 degrees

Step-by-step explanation: sum of angles in triangle is 180 degrees.

So third angle is 180-44-94= 42

Answer: 42°

Steps:

44° + 94° + x = 180°

138° + x = 180°

x = 180° - 138°

x = 42°

Check:

44° + 94° + 42° = 180°

180° = 180° ✅

Would appreciate brainliest if the answer was helpful, correct and had clear steps! :)

A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?

Answers

Answer:

33.33 feet

Step-by-step explanation:

First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33

what's the product of 7/8 and 9/12​

Answers

Answer:

21/32

Step-by-step explanation:

The solution is, the product of 7/8 and 9/12​ is 21/32.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

7/8 and 9/12​

we have to find the product .

i.e. we have to multiply 7/8 and 9/12​

so, we get,

7/8 × 9/12​

= 7/8 × 3/4

= 7×3 / 8×4

=21 / 32

Hence, The solution is, the product of 7/8 and 9/12​ is 21/32.

To learn more on multiplication click:

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PLEASE HELP ASAP THANKS


A right triangle has a side length of 8, 15 and x, where x is its longest side. What must be the value of x?
Group of answer choices

17

19

18

Answers

Answer:

17

Step-by-step explanation:

We can find the longest side I.e. Hypotenuse using pythogorean theorem.

[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

This is your answer hope it helps :)

Answer:

17?

Step-by-step explanation:

a squared + b squared = c squared (hypothenuse longest side)

square them, then add them and square root them.

What’s the value of Y?
What’s the measure of angle A?
What is the measure of arc DAB

Answers

Answer:

1. 9

2. 9

3. 101

Step-by-step explanation:

hope it helps:)

Write the corresponding sides ad equal ratios

Answers

notice the corners; the corner on each triangle with one line is equivalent, and the same goes for the corner on each triangle with two lines, and the corner on each triangle with three lines. this is just a way to know which angles match up!

this means the answer would be:

D!

Can someone help me answer this?

Answers

Answer: i believe it’s 12ft

Step-by-step explanation:

Express 100cm:5m to it's lowest terms​

Answers

Answer:

1:5cm

Step-by-step explanation:

convert 5m to cm which is 500cm and then simplify which us 1:5cm

Answer:

1:5cm

Step-by-step explanation:

helpppppppppppp meeeee plssss lpereira25

Answers

Answer:

1. Reflect across the y-axcis:

  1) (-1,-5)

  2) (0,-3)

  3) (-2,0)

  4) (-4,-2)

________________________

2. Reflect across the x-axis:

  1) (0,0)

  2) (1,-4)

  3) (2,-4)

  4) (4,0)

Do u wanna join

my

zoom

because its much better to tell/show u the answers...?

a farmer has sheep and hen .the sheep and hen together have 100heads and 356 legs .how many sheep and hens does the farmer have?​

Answers

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

 x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

        200  + 2y = 356          {Subtract 200 from both sides}

                   2y = 356 - 200

                  2y = 156       {Divide both sides by 2}

                    y = 156/2

                  y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

       x = 100 - 78

       x = 22

22 hens and 78 sheep

Please help! would appreciate it​

Answers

Answer:

Step-by-step explanation:

here is what I got but I hope it helps :)

what is the answer for 0.2/n = 0.4/0.6

Answers

Answer:

n=0.3

Step-by-step explanation:

divide the numbers

0.2/n=0.4/0.6

0.2/n=.066666

then you multiply by the same dominator to both sides

n*.02/n=n*.066666

Cancel multiplied terms that are in the denominator

0 . 2 =

Answer:

N equals 0.3

Step-by-step explanation:

I just know

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit. How many \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction unit cubes does it take to fill the prism?

Answers

Answer:

108 cubes

Step-by-step explanation:

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 . How many 1/3 unit cubes does it take to fill the prism?

Step 1

We find the volume of the cubes

Side length = 1/3 units

Volume of a cube = Side length ³

Hence,

(1/3 units)³ = 1/27 cubic units

Step 2

A rectangular prism with a volume of 4 cubic units.

The number of 1/3 unit cubes that would fill this rectangular mrism is calculated as:

4 cubic units ÷ 1/27 cubic units

= 4 ÷ 1/27

= 4 × 27/1

= 108 cubes

plz help if its to small press on the image and zoom in

Answers

Thats a lot of work to do i jus need more points

Answer:

1. 5 in squared

2. 7 cm squared

3. 12 ft squared

4. 12 m squared

5. 24 yd squared

6. 15 mi squared.

Step-by-step explanation:

Hope this helps. You can search up how to find area too! Like how to find area of square or triangle or trapezoid!

What is the range of this data set?

1.9, 15.5, 1.3, 16.5, 5.5, 20.2, 12.1, 9.6, 16.8



14.9
16.3
18.9
20.2

Answers

In order from smallest to largest the answer is : 1.3, 1.9, 5.5, 9.6, 12.1, 15.5, 16.5, 16.8, 20.2
The answer is 18.9 because to find the range you subtract the smallest value (in this case 1.3) from the greatest value (20.2). That would get you 18.9, the range.
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