Help I will be marking brainliest!!!

A. 18√3
B. 56√3
C. 36√3
D. 56

Show work, if possible. Thanks❤️

Help I Will Be Marking Brainliest!!!A. 183B. 563C. 363D. 56Show Work, If Possible. Thanks

Answers

Answer 1
Answer:  A.  18*sqrt(3)

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to choice A as the final answer

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

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.


Related Questions

Find the value of 1.999.... in the form of p
q
where p and q are integers.

Answers

1.999… is exactly the number 2.

Let x = 1.999… . Then 1000x = 1999.999… . Subtract x from this to eliminate the fractional part, and you get

1000x - x = 1999.999… - 1.999…

1000x - x = 1999 - 1

999x = 1998

x = 1998/999 = 2/1 = 2

So p = 2 and q = 1.


URGENT!!!!

Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in

Answers

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

If the sidewall of a cubic structure have length 7m , then find the total surface area.
is this jhit right?​

Answers

Answer:

Surface area of the cube = 294 m²

Step-by-step explanation:

Sidewall of a cube measures in length = 7 m

Formula for the surface area of a cube = Sum of the areas of all six sides of the cube

= 6 × (Side)²

= 6 × (7)²

= 6 × 49

= 294 m²

Therefore, surface area of the cube is 294 m².

Melanie makes 12 out of 16 foul shots. What is the experimental probability that she will miss her next foul shot?

Answers

25% probability she misses her nest fuel shot

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?

Answers

Answer:

y =1x+4

Step-by-step explanation:

can someone help with this?​

Answers

Answer:

8

Step-by-step explanation:

10(4)-2(4)^2

The answer is 8, I hope this helped :)

PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
tickets and the total was $525. On day two, they sold 45 child tickets and 65 adult tickets and the total
was $460. What was the cost of the adult tickets?

Answers

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?  

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 =  −(8y+72)/3

X = (-8/3) y + 24

Substitute  (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

-8/3 y + 168 = 152 (Simplify both sides of the equation)

-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

y = 6

Rewrite using a single positive exponent

Answers

Step-by-step explanation:

[tex] \frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3} [/tex]

find the solution of given expression

[tex] \sqrt{365 \times 4 \times 365} [/tex]

Answers

Answer:

√{365×4×365}=√(365²×2²)=±(365×2)=±730

Answer:

[tex]\sqrt{365\cdot \:4\cdot \:365}=\sqrt{532900}[/tex]

[tex]=\sqrt{730^2}=730[/tex]

can someone plz help with this? geometry:)

Answers

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

               

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16



Calculate the percentage increase of an item that cost R59.99 in 2020 and R 65.99 in 2021​

Answers

Answer:

the answer is of this question R = 10

Answer:

The answer is 6%

Step-by-step explanation:

[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]

I really need help with this does anyone mind expkaining

Answers

Answer:

I remember seeing this Question sombody answered 108 the 3rd option and it was correct but I chose 13 and it was wrong lol good luck

Simplify the expression 7h +(-5.9d) – 17+4d -3.4h

Please help me need it done ASAP

Answers

Answer:

−1.9d+3.6h-17

Step-by-step explanation:

You just need to combine like terms ;)

Hope it helps, let me know

24-4x=2x
show your work, will mark brainliest

Answers

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24−4x=2x

24+−4x=2x

−4x+24=2x

Step 2: Subtract 2x from both sides.

−4x+24−2x=2x−2x

−6x+24=0

Step 3: Subtract 24 from both sides.

−6x+24−24=0−24

−6x=−24

Step 4: Divide both sides by -6.

−6x /−6  = −24 /−6

x=4

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equations.

==> 24-4x=2x

==> 24 = 2x+4x

==> 24 = 6x

===> x = 24/6

===> x = 4

Find the integer that satisfies the inequality below.
Please help with a

Answers

Answer:a)6,7,8

d)8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30

Step-by-step explanation:

A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.

Answers

Initial considerationsradius = 1.8 intall = 6.7 inVolume?

Resolution

Volume = base area x tall

base area = π x (1.8in)²

base area = 10.179 in²

Volume = 10.179 in² x 6.7 in

Volume = 68.198 in³

Answer

the volume is 68.198 in³

If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?

Answers

Answer: Each classmate got 9 pencils

Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.

75 divided by 8 is about 9. so each person in her class gets 9 pencils, while Jessica is left with 0.375 of a pencil.

Simplify the expression 8(5+w

Answers

Answer:

40+8w=0

8w=-40

w=-40/8

w=-5

What is geometrical mathematical system?

Answers

A mathematical system is a set with one or more binary operations defined on it. – A binary operation is a rule that assigns to 2 elements of a set a unique third element. ▪ If 5 and 7 belong to N and addition is the binary. operation then 12 Is the unique “answer.”

Question
(01.01 LC)
What should be added to 3 to make the sum 0? (1 point)
a
-3
b
-2
с
0
d
3

Answers

-3 because if you add -3 to 3 you get 0

order from least to greatest 3.2 ,3.14, 19/7, sqrt (14)

Answers

Answer: 19/7 ,3.14, 3.2

Step-by-step explanation: Hope this helps Have a brilliant day of learning!

Christa wrote 1 page in 2/3 hour. Which is Christa's writing rate per hour?

Answers

Answer:

3/2 pages per hour

Step-by-step explanation:

1 : 2/3

= 3/2 : 1

in 1 hour christa writes 1 and 1/2 of a page

you save $15 per week to purchase a bike that costs $120. write and solve an inequality to find the number of weeks you need to save to purchase the bike.

Answers

Answer:

Must save 8 weeks or more to purchase the bike.

Step-by-step explanation:15*w >= 120 where W is the number of weeks.

w >= 120/15 = 8

You need to save $15 every week for the next 8 weeks in order to purchase the bike.

What is inequality in mathematics?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that you save $15 per week to purchase a bike that costs $120.

Assume that you need [w] weeks to save $120 for the bike.

Amount earned per week [A] = $15

Amount earned in [w] weeks [W] = $15w

Money needed [R] = $120

The inequality can be written as -

[W] ≥ [R]

We can write it as -

15w ≥ 120

Solving the inequality, we get -

15w/15 ≥ 120/15

w ≥ 8

Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.

To solve more questions on inequalities, visit the link below-

brainly.com/question/26434651

#SPJ5

Please help me with this 4.7 x 10^-1
as an ordinary number

Answers

Answer:

The answer is 0.47

Msmsmsmaka

Answer:

0.47

Step-by-step explanation:

47/100

hope it helps thank you

What is the nth term of the sequence 1,4,9,16​

Answers

Answer:

[tex]n^{2}[/tex]

Step-by-step explanation:

1, 4, 9, 16

1=[tex]1^{2}[/tex]

4=[tex]2^{2}[/tex]

9=[tex]3^{2}[/tex]

16=[tex]4^{2}[/tex]

so, the fifth term is [tex]5^{2}[/tex] = 25

4х + 1= 3x + 2
does it have no solution one solution or infinitely many solutions

Answers

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

There’s only one solution

HELP!!


Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°

HELP!!

Answers

A is the answer happy 2 help :D

Answer:

A

angle 1 + angle 4 is equal to 180

if angle 4 = 127, angle 1 must equal 53

Step-by-step explanation:

PLEASE HELP ME! 50 POINTS! I WILL GIVE BRAINLIEST! Decide whether the table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?

Bettie's Boutique is having a 20% off sale.
|original price| sale price|

—————————————

|$15. | $12. |

—————————————

|$25. |$20. |

—————————————

|$35. |$28. |

————————————-

Answers

Answer:

15 and 12 makes a pattern of -3

25 and 20 makes a pattern of -5

35 and 28 makes a pattern of -7

Step-by-step explanation:

5 x 3=15

5 x 5=25

5 x 7=35

Answer:14

Step-by-step explanation:

reposting again
i will give brainliest to best answer

Answers

Answer:

the answer is c plz trust

Step-by-step explanation:

Please help immediately! thanks

Answers

Answer:

pretty sure its 9 : 4

Step-by-step explanation:

Answer:

9:4

Step-by-step explanation:

"to" :

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