Find the value of the variables in the image above

Find The Value Of The Variables In The Image Above

Answers

Answer 1

Answer:

x = 8[tex]\sqrt{3}[/tex] , y = 8

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 8[tex]\sqrt{3}[/tex]

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

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{16}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 16 ( divide both sides by 2 )

y = 8


Related Questions

HEY YOU! YES YOU, HOTTIE PLS HELP ME <3
Which of the following statements is true about the rates of change of the functions shown below?
f(x)=4x
g(x)=4^x

A) For every unit x increases, both f(x) and g(x) quadruple in quantity

B)For every unit x increases, both f(x) and g(x) increases by 4 units.

C) For every unit x increases, f(x) quadruples in quantity and g(x) increases by 4 units.

D) For every unit x increases, f(x) increases by 4 units and g(x) quadruples in quantity.

Answers

Answer:

None of the above if there is that answer because one is 4 times and the other is 4 to the x power which is exponential

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

lol I'll take the hottie bit XDDDD

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)

Answers

Answer:

The last option is correct

what is the solution to the inequality of x+2<5

Answers

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form

Answers

I hope this helps you

HELP HELP PLEASE WRING ANSWERS OR LINKS WILL BE REPORTED ​

Answers

Answer:

$0.24 per orange

Step-by-step explanation:

$3.84 / 16 = 0.24

If ab=8 and a^2+b^2=16 then what is the valué of (a+b)^2 PLSS HELP NOW

Answers

I think that i got it but at the same time not sure but the value of a+b should be 14+20

Cierra is buying juice. She needs 5 liters. A half liter juice cost $2.86. A 250​-milliliter container of juice costs ​$1.05. What should Cierra buy so she gets 5 liters at the lowest price?

Answers

Answer: 250 mL Juice container

Step-by-step explanation:

Given

Half liter juice costs $2.86 i.e.

[tex]\dfrac{1}{2}\ L\rightarrow\$2.86\\\\1\ L\rightarrow\dfrac{2.86}{\frac{1}{2}}=\$5.72\\\\5\ L\rightarrow\$28.6[/tex]

A 250 mL juice costs $1.05 i.e.

[tex]250\ mL=0.25\ L\rightarrow \$1.05\\\\1\ L\rightarrow \dfrac{1.05}{0.25}=\$4.2\\\\\Rightarrow 5\ L\rightarrow \$21[/tex]

The cost of 250 mL Juice packet is low for 5 L quantity, therefore, Cierra must buy 250 mL Juice container

PLS HELP! I'M SO STUCK!!

Answers

Answer:

E

Step-by-step explanation:

i just kinda figured it out

Someone help what would my average be if I got 100% on my both of my tests? I just wanna know

Answers

Answer:

To figure out your average, you add them together then divide by2

Step-by-step explanation:

A window is designed as shown below. Find the value of x

Answers

Answer:

x=20

Step-by-step explanation:

We know that a line is 180 degrees, and the base of the cemi-circle is a line. So,  we would have:

x+7x+x=180

9x=180

x=20

Hope this helps!!

Answer:

x = 20

Step-by-step explanation:

x + 7x + x = 180

9x = 180

x = 20

if x=10, write an expression in terms of x for the number 5,364

Answers

Answer:

(5,354 + x)

or

536.4*x

Step-by-step explanation:

We know that x = 10.

Now we want to write an expression (in terms of x) for the number 5,364.

This could be really trivial, remember that x = 10.

Then:  (x - 10) = 0

And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.

5,364 = 5,364 + (x - 10) = 5,364 + x - 10

5,364 = 5,354 + x

So (5,354 + x) is a expression for the number 5,364 in terms of x.

Of course, this is a really simple example, we could do a more complex case if we know that:

x/10 = 1

And the product between any real number and 1 is the same number.

Then:

(5,364)*(x/10) = 5,364

(5,364/10)*x = 5,364

536.4*x = 5,364

So we just found another expression for the number 5,364 in terms of x.

Does anyone know about this question I give brainless If you answer this correctly

Answers

Answer:

Side x = 2.12132 = 3√2/2

Step-by-step explanation:

I used a triangle calculator to find side x

8c + c=
I will give brainliest if correct
Thank you

Answers

Answer:

=9c

Step-by-step explanation:

8c+c=9c

hope this is useful

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

tangent x = 12/9

Step-by-step explanation:

Hello There!

Once again these are the Trigonometric Ratios

SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tan = Opposite over Adjacent (TOA)

And for this one we are asked to find the tangent of angle x

Remember tangent = opposite over adjacent

opposite - the side length that is opposite of the angle (so the angle will be facing that side length)

adjacent - the side length that is not the opposite nor the hypotenuse

The opposite of angle x is 12 and the adjacent of angle x is 9

so tangent x = 12/9

1 - Which expression is equivalent -2(x + 4) - (3x + 8)?
(50 Points)
5x + 16
5x - 16
-5x + 16
-5x - 16

Answers

Answer:

-5x-16

Step-by-step explanation:

Combine like terms

Step-by-step explanation:

If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.

So, if you want to multiply the parenthesis

(3x−7) by 5, you need to multiply by 5

both 3x and −7.

We have that 5⋅(3x)=5⋅(3⋅x)=(5⋅3)⋅x=15x and −7⋅5=−35

So, 5(3x−7)=15x−35

what is (−4)⋅(−4)⋅(−4)⋅y⋅y

Answers

Answer:

64y^2

Step-by-step explanation:

to know if two figures are _______ you have to analyze they have to have the same shape but not the same size​

Answers

Answer:

Similar!

Step-by-step explanation:

Hope this helps!

Congruent. 2 shapes are congruent if they are the same shape but not same size

What are the values of x that would make the line j parallel to line k? Help me please!

Answers

Answer:

For line j to be parallel to line k, then x has to be equal to 0

Step-by-step explanation:

if line j is parallel to line k, then the two angles are equal.

They are equal because they would be alternate angles and alternate angles are equal in value

Thus,

3x + 10 = 5x + 10

5x-3x = 10-10

2x = 0

x = 0

5. How far can you get away from your little brother with a squirt gun filled point
with paint if you can travel at 3 m/s and you have 15 s before he sees you?"
45 m
5 m
2 m
20 m

Answers

Answer:

45 meters

Step-by-step explanation:

I hope this helps.

Solve using elimination. 9x − 9y = –18 10x − 9y = –13

Answers

Answer:

y = 5, y = 7

Step-by-step explanation:

help pls and thank uu:)

Answers

-4 is the answer bestie

Answer and Step-by-step explanation:

The answer is 1.

When g(x) is 0, we need to add 4 to both sides, then divide each side by 4 to get the x by itself. We see that x is equal to 1.

0 = 4x - 4

4 = 4x

x = 1

#teamtrees #PAW (Plant And Water)

Part A is already answered

Part B asks: What is the length of the hypotenuse?

Answers

Answer:

52

Step-by-step explanation:

Using the Pythagorean theorem

a^2+b^2 = c^2

20^2 + 48^2 = c^2

400 +2304=c^2

2704=c^2

Taking the square root of each side

sqrt(2704) = sqrt(c^2)

52 = c

Answer:

[tex]hypotenuse^{2}[/tex] = [tex]altitude^{2}[/tex] + [tex]base^{2}[/tex]

[tex]hyp^{2}[/tex] = [tex]48^{2}[/tex] + [tex]20^{2}[/tex]

       = 2304 + 400

       = 2704

∴[tex]hyp[/tex] = [tex]\sqrt{2704}[/tex]

       = 52

hope this answer helps you....

PLS HELP ME PLS ACTUALLY PUT AN ANSWER

Answers

Answer:

Hi

Step-by-step explanation:

The answer is B and D.

Hope it's correct.

Couldn’t post the answer here. The answer is in the file. Good luck!

quick.ly/29B1X

I’m just joking. The answer is B. Have a good day.

Find the area of the figure.

Answers

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

2.8 feet

Step-by-step explanation:

tan(29)=x/5

5tan(29)=x

2.8=x

Answer:

5.7

Step-by-step explanation:

write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]

Answers

Hi. Here it is!
I hope this help!

Each glass vase at a Mother’s Day brunch has 8 stems, of which 37.5% are stems of greenery. How many stems of greenery are in each vase?

Answers

I believe the answer is there are 3 stems of greenery in each vase.

You just do 8 times 37.5% or 0.375 and get 3.

Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x

Answers

The correct answer is C. If you distribute the equation, you would get 2x + 2. Hope this helps!


Who is taller: Randall who stands 68 inches tall or Javier who stands 6 feet tall?
Explain your reasoning. Use the sentence frames below to help you.
Note: 1 foot is equal to 12 inches.

Answers

Answer: javier is taller

Step-by-step explanation:

68inches=5' 8"

javier is taller then randall by 5’8 inches

Answer quickly pllllllllllsssssss

Answers

D. X>-1


Says I need 20 characters so I’m typing this
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