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

I WILL GIVE BRAINLIEST 5 STARS AND A HEART PLEASE HELPPPP

Answers

Answer:

140  square feet

Step-by-step explanation:

The total area can be calculated by splitting this irregular shape into two quadrilaterals.

In this case, I am splitting it horizontally, but you can do it vertically and get the same answer!

I'm left with a 10 by 8 ft rectangle and an 15 by 4 ft rectangle. So, the total area is equivalent to:

[tex]10*8 + 4*15\\80 + 60\\=140[/tex]

Have a nice day. Spread The Love!

Graph triangle DEF with vertices D(-5,2), E(1,3), and
F(-4,-3). Then graph the image of the triangle after it
is translated 4 units right and 3 units down.
What are the vertices of triangle D'E'F?

Answers

Answer:

i think

E'(5,0)

D'(-1,-1)

F'(0,6)

B-19=-11. What is the B? Plz help

Answers

Answer:

8

Step-by-step explanation:

b - 19 = - 11

b = -11 + 19

b = 8

Select the correct answer.
What is the least common multiple of the numbers 5, 25, and 15?
A.
25
B.
50
C.
75
D. 100
OE.
125

Answers

Answer:

C. 75

Step-by-step explanation:

First, list the multiples of each numbers and stop when you reach the least common multiple (the smallest number the numbers can multiply up to):

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 . . .

25: 25, 50, 75 . . .

15: 15, 30, 45, 60, 75 . . .

5 times 15 is 75, 25 times 3 is 75, and 15 times 5 is 75. Their LCM is 75.

The answer is C. 75

please help me, I'm stuck on the second one. ​Also for i) i got angle ABD because angles in a semicircle measures 90 degree and OAX because the angle between the tangent and a radius is 90 degrees

Answers

Answer:

i)

DA is diameter and AX is tangent to circle

Your answer is correct

m∠ABD = 90°, m∠DAX = 90°

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

m∠DAB = 90° - 42° = 48°

DC = BC ⇒ intercepted arcs are same ⇒

∠CDB = ∠BDC

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

m∠CDB = m∠BDC = 1/2*48 = 24°

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

m∠ADC = m∠ADB  + m∠CDB = 42° + 24° = 68°m∠CBA = 180° - m∠ADC = 180° - 68° = 112°

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

m∠BAE = 180° - 112° = 68°

∠DCE

∠DCE = ∠DCB - ∠BCEm∠DCB = 180° - m∠DAB = 180° - 48° = 132°m∠BCE = 180° - m∠BAE = 180° - 68° = 112°∠DCE = 132° - 112° = 20°

Write the ratios for sin A and cos B. 10 AC, 24 CB, 26 BA

Answers

Answer:

acdc

Step-by-step explanation:

how do i solve 7x^{2} +11y^{2} =40

Answers

Answer:

Step-by-step explanation:

There is no solution as you have two variables and only one equation. The best you can do is solve for one variable as a function of the other.

[tex]7x^2+11y^2=40\\ \\ 11y^2=40-7x^2\\ \\ y^2=\frac{40-7x^2}{11}\\ \\ y=\sqrt{\frac{40-7x^2}{11}}[/tex]

A cone with a volume of 1152π cubic meters has a radius of 12 meters. Which of these statements is correct?

Select one:

Its height is two thirds the length of its radius.

The length of its radius is twice its height.

The length of its radius is two thirds its height.

Its height is twice the length of its radius.

Answers

Answer:

Step-by-step explanation:

B

Answer: it’s hight is twice the length of its radius

Step-by-step explanation:

4.8-2/5(w-6)
mathematic equation

Answers

Answer:

[tex] \frac{0.56}{w - 6} [/tex]

Step-by-step explanation:

1) Simplify 4.8 - 2 to 2.8.

[tex] \frac{2.8}{5(w - 6)} [/tex]

2) Simplify.

[tex] \frac{0.56}{w - 6} [/tex]

Therefor, the answer is 0.56/w-6.

what is the sum of the interior angle measures of a polygon that has 20 sides

Answers

Answer:

3240°

Step-by-step explanation:

Formula is ( 2n-4)90° where n is the no of sides

(2×20-4)90°

(40-4)90°

36×90

3240°

10. A soccer team is having a fundraiser by selling raffle tickets. Each ticket costs $2. For every 3 tickets
purchased, there is a $1. Discount. Which table displays the total price for the number of tickets
purchased?

Answers

Answer:

B

Step-by-step explanation:

2 over 3 tickets subtract the 1 dollar discount

The answer is B.

I hope this helped! And I might be wrong, just saying lol

I don't think I am though...

WILL GIVE BRAINLIEST!
Find x given y = 76° in the figure below.
x =
°

Answers

Answer:

104°

Step-by-step explanation:

The straight line for [tex]q[/tex] forms an angle of 180°

Therefore,

[tex]x+y=180[/tex]

[tex]x+76=180[/tex]

[tex]x=180-76[/tex]

[tex]x=104[/tex]

X+Y=180
Y=76
X=180-76
X=104 degrees

Multiply. Express in lowest terms. If you can simplify, what is the GCF you used ? what is 18 x 1/3

Answers

Answer:

Question 2 is 6

Step-by-step explanation:

I don’t understand what your asking on if you can simplify what is the GCF

Please someone help I really need it and please answer if you can give me the answer I will give brainleast just please help me with this

Answers

Answer: I tried to use the step by step explanation of your exercise, I hope Otis helping you and have a nice rest of your day :)

anyone help with this?

Answers

its answer choice a

help please!! it’s due today and this is the one answer i still need!! (view picture)

Answers

Answer: q=0.3p-2

Well everytime P goes up by one then Q goes up by positive 0.3

p = q + .3
That would be the equation

What is the median of 1,1,2,3,4,7,8,8

Answers

Answer:

3.5

Step-by-step explanation:

A taxi driver charges you $1.50 for the first mile and $.90 for each additional mile. How far could you go for $20.00 if you give the driver a $2.00 tip?

Answers

Answer:

You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Step-by-step explanation:

From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:

c=1.50+0.90(x-1), where

c is the total cost

x is the number of miles

Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:

20-2=18

Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:

18=1.50+0.90(x-1)

18-1.50=0.90x-0.90

16.5+0.90=0.90x

17.4=0.90x

x=17.4/0.9

x=19.33

According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Answer:

You can go 19.33 mile

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

20.94 cm^3

Step-by-step explanation:

Volume of cone = 1/3 (pi r^2 h)

V = 1/3 (pi 2^2 × 5)

=20.94 cm^3

helppp pleaseee :)))

Answers

Answer:

1)

Y-intercept: -3

Slope: 2

Equation: y = 2x - 3

Step-by-step explanation:

I just answered one since it was only for 5 points. :)

what is 6 x 3/5.................................................................................................................

Answers

Answer

3.6

Step-by-step explanation:

3/5 is equal to .6 so multiply 6x.6

Solve for x, 2-x= -6-4x
a . -2/3
b.-2/5
c-8/3
d.-8/5​

Answers

Answer:

-8/3

Step-by-step explanation:

2 - x = - 6 - 4x      <-- Add 4x to the left side

2 + 3x = - 6          <-- Subtract 2 from the left side

3x = -8             <-- Divide 3 on both sides

x = -8/3

Answer:

x = -8/3

Step-by-step explanation:

Consolidate x terms on the right side:

2-x= -6-4x becomes 2-x + x = -6-4x + x, which in turn becomes:

2 = -6 - 3x, or 3x = -8.  Then, dividing both sides by 3, we get x = -8/3

Which of the following sets of numbers could represent the
lengths of the sides of a triangle?
A 2, 2,5
B 3,3,5
C 4,4,8
D 5,5, 15

Answers

Answer:

b i think tell me if i am wrong.

Step-by-step explanation:

Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.

Answers

Answer:

x=17554456775432209765443

24=×+7 ayudenme por favor :) ​

Answers

Answer:

24 -7 = x+7-7

17 = x

x = 17

so the solution set of

x is x = 17

Write the system of equations
C + V = 40
4C + 6V = 180

Answers

Answer:

c=30

v=10

30+10=40

4*30=120

6*10=60

120+60=180

The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation? Calculator​

Answers

Answer:

Step-by-step explanation:

A proportional constant satisfies

y/x=k, where k is the constant of proportion

Since

y/x=k

y=kx

You are given

y=1.5x so

k=1.5

What is the correct answer choice?

Answers

Answer:

the answer is J

Step-by-step explanation:

f(x) = (3)^2 - 8 = 9-8-1

f(x)= (7)^2 - 8 = 49 - 8 = 41

1 <= f(x)<= 41

Simplify.
410
44
QU
4-6
Ob
16
ос
44
Od
46
ID
Don't know

Answers

Answer:

4⁶

Step-by-step explanation:

10 - 4 = 6

The probability of rolling a number cube and getting a 6 and 3.

Answers

We have to find out the probability of getting 6 and 3,

Since this only one roll it is not possible to get 2 numbers in one roll

So, I will presume you want the probability of getting 6 or 3,

Total number of outcomes= {1,2,3,4,5,6} = 6 outcomes

Number of favorable outcomes = {3,6} = 2 outcomes

Probability of rolling 6 or 3 = [tex]\frac{Number'of 'favorable' outcomes}{Total' number 'of' outcomes}[/tex]

= 2/6

= 1/3 or 0.33333%

Therefore the probability of rolling 6 or 3 is one in three chances

Happy to help :)

If u have any doubts or questions , feel free to ask

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