find the missing side lengths leave your answerss as radicals

Find The Missing Side Lengths Leave Your Answerss As Radicals

Answers

Answer 1

Answer:

x = 8, y = 4

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , thus

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 8

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

To find y use the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , thus

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

4[tex]\sqrt{3}[/tex] = y × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 4


Related Questions

Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?

Answers

Answer:

B ≥ 209

Step-by-step explanation:

This is the equation - 25b + 525 ≥ 5750  .      

Comment if I solved it incorrectly ;-;  

HELP ASAP DUE IN 5!!!!
Determine whether the relationship between the two quantities described in each table is linear.
If so, find the constant rate of change. If not, explain your reasoning.

O Yes; 4 apples/tree
O Yes; 20 apples/tree
O No; No constant rate of change
O None of the above

Answers

Answer:

No; No constant rate of change

Step-by-step explanation:

5 trees > 100 apples --> 20 apples/tree

10 trees > 120 apples --> 12 apples/tree

15 trees > 150 apples --> 10 apples/tree

20 trees > 180 apples --> 6 apples/tree

2.find the domain,range and function.
x,y
-4,8
-3,1
0,-5
-3,2

Domain:
Range:
Function

Answers

Step-by-step explanation:

domain ={-4,-3,0,}

range ={8}

Pls help with this question

Answers

Answer:

Opposite sides are congruent

Step-by-step explanation:

First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.

Sorry if its wordy I hope this helps : )

What is the equation of this graphed line?
Enter your answer in slope-intercept form.


Please answer quickly, I will give brainliest to whoever answers correctly, thank you.

Answers

Answer:

y = -9/8x + 7

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

Points given:

(0, 7) and (8, -2)

y-intercept is

b = 7 as per the first point

And the slope is:

m = (-2 - 7)/(8 - 0) = -9/8

So the line is:

y = -9/8x + 7

Answer:

Required Answer:-

points are

(0,7)(8,-2)

slope =m

[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]

y intercept:-

7

Hence the equation is

[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]

HELPPPP plzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg

Answers

Oh wait I think I know the answer, c.

Answer:

C

Step-by-step explanation:

angle DAB = angle CBA

angle DBA = angle CAB

line AB = line AB

Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle

Sabrina is x years old.
Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?​

Answers

Answer:

10

Step-by-step explanation:

If Sabrina is 5 & Michael is 7. (5×7=35)

Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).

Answer:

Meghan is 10 years old

Step-by-step explanation:

We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.

We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:

m = 2x

Michael (M) is 3 years younger than Meghan. So we write:

M = m - 3

The product (multiplication) of Sabrina's and Michael's age is 35. So we write:

Mx = 35

To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.

M = 2x - 3

Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:

x(2x - 3) = 35

2x² - 3x = 35

2x² - 3x -35 = 0

(2x - 7)(x - 5) = 0

x = ⁷⁄₂ or 5

we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:

m = 2(5)

m = 10

is made up of a whole number and a fraction.

Answers

Answer:

Wut

Step-by-step explanation:

I am only doing this for points :D Uwu

work out
a. 5 x 1/8

b.1/7 x 6


plzz help ​

Answers

Answer:

Step-by-step explanation:

5 * 1/8=  5/8

1/7*6=  6/7

Place the whole number over 1 and multiply.

PLEASE HELP
Which of the following are ordered pairs for the given function?
Select all that apply.
f(x) = 1 + x
(1, 2)
(3.3)
0 (0, 2)
(1, 0)
(0,1)

Answers

9514 1404 393

Answer:

  (1, 2)

  (0, 1)

Step-by-step explanation:

The function tells you the second number of the pair will be one more than the first number of the pair. That is, the pair will be ...

  (x, 1+x)

Appropriate choices are ...

  (1, 2)

  (0, 1)

plz help me thank you​

Answers

Answer:

Pauline needs 48 bags.

Step-by-step explanation:

You know that the field is 240 sq. ft. and that the density of the mulch is 6 pounds per sq. ft. Just multiply 240 by 6 to get the total weight of all the mulch, 1440 pounds. You also know each bag of mulch is 30 pounds. Divide 1440 by 30 to get 48 bags.

3. Multiply and simplify: (4x + 3)(x - 1)
Answer =

Answers

4x^2-x-3 is the correct answer:)

Answer: = 4x² - x - 3

(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3

Step-by-step explanation:

HELP ME FAST PLZ HELP ME!!!

Answers

Answer:

267000 is the answer

Step-by-step explanation:

If m = 50, what is the value of the expression below?

0.44m + 23

A. 22
B. 45
C. 67
D. 117

SHOW YOUR WORK PLZSSSSSSSS

Answers

Answer:

B. is your answer dear

Step-by-step explanation:

0.44*50+23

22+23 = 45

hope you got it.

It says I have 13 free answers left and then it says I used them all so I only get 2 free. why?

Answers

Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out

Step-by-step explanation:

Answer:

you have to use ads wich is stupid

Step-by-step explanation:

Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?

Answers

Answer:

The answer is 86.08, hope this helps.

Step-by-step explanation:

Answer:

$86.08

Step-by-step explanation:

If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.

$10.76 x 8= $86.08

I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?

Answers

Answer:

some thing is broken man

Step-by-step explanation:

Hey everyone I need help on the questions please!:)​

Answers

Answer:

a. 1/2

b. 1 hair cut

c. 2.5

Step-by-step explanation:

4/8 divde by 4 to simplify and that gets you 1/2

8/4 is 2 so he does one hair cut every two hours

so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours

A telephone pole is 24 feet tall. A support cable is attached to the top of the pole to keep the pole from leaning. The stake for the cable is set in the ground 18 feet away from the base of the pole, as shown. How long is the support cable?

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

please helpp mecwith this question ​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( B )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

A pebble is dropped into a deep well and 3s later the sound of a splash is heard as the pebble reaches the bottom of the well. The speed of sound in air is about 340 m/s. How long will it take fir the pebble to hit the water? How long does is take for the sound to reach the observer? What is the depth of the well? (I need the equation)

Answers

Answer:

[tex]2.89\ \text{s}[/tex]

0.11 seconds

[tex]37.4\ \text{m}[/tex]

Step-by-step explanation:

[tex]t_1[/tex] = Time taken by the pebble to hit the water

[tex]t_2[/tex] = Time taken by the sound to travel to the observer

[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s

[tex]t_1=3-t_2[/tex]

a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

[tex]u_s[/tex] = Speed of sound = 340 m/s

The distance traveled by the pebble

[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]

Distance traveled by the sound

[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]

The distance traveled by the sound and the pebble is equal

[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]

Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.

So, time taken by the sound to reach the observer is 0.11 seconds.

Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]

Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]

PLEASE HELP!! REALLY URGENT!!

Answers

Answer:

it's the first option

Step-by-step explanation:

A...………….......... k

HEEEEEEEEEEEEEEELLLLLLLPPPPP PLEASE

Answers

Answer:

3  1/5

Step-by-step explanation:

I used my calculator, but convert to the greatest common factor which is 15 and multiply, then simplify to 16/5 and turn to a proper fraction 3 1/5.

Answer:

=  16/5  =  3  1/5

Step-by-step explanation:

three-quarters of a number is 15. what is four fifths on the number

Answers

Answer:

12

Step-by-step explanation:

3/4 x = 15
3 x = 60
x = 20

4/5 x 20 = 16
Answer: 16

(-9z - 8) - (4z - 7)

Answers

the answer is -13z - 1

Write the equation of a line perpendicular to y = -2x +8 that passes through the point ( -4, 1)

Answers

Answer:

y=1/2x+3

Step-by-step explanation:

Find the slope of the line containing the pair of points.
(-8,-2) and (6,3)

Answers

Answer:

 5/14

Step-by-step explanation:

             3--2=5

             6--8=14  

A train freight car weighs 25 tons when empty. A conveyor belt pours coal into the car at a constant rate of 1/3 ton per minute until it is full.

The dump truck (Refer to problem 8) weighs 55 tons when filled. At the same time the freight car is being filled, an identical freight car filled

to capacity is being emptied at a rate of 1/6 ton per minute.

How long, in minutes, until the freight cars are the same weight?

The tucks will weigh the same in

minutes.

How much coal will be in each truck when they weigh the same?

There will be

tons of coal in each truck.

Answers

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

4. x =
a. 20°
b. 240
C. 28°
(5x)
120°
d. 30°

Answers

An exterior angle equals the sun of the two opposite inside angles:

5x = 120 + x

Subtract 1 x from both sides:

4x = 120

Divide both sides by 4:

X = 30

The answer is D. 30

ULICU
Find k.
k
45°
7-12 m
45°
O 7
O 72
O 7V2
2
O 14

Answers

Answer:

O7v2 hope that helps ya! Mark as brainlest

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