Mathematics High School

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.

Instructions: Use The Ratio Of A 30-60-90 Triangle To Solve For The Variables. Leave Youranswers As Radicals

Answers

Answer 1

Answer:

x =10

y = 10 sqrt(3)/ 3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 5 sqrt(3) / x

x sin 60 = 5 sqrt(3)

x = 5 sqrt(3)/sin 60

x = 5 sqrt(3) / sqrt(3)/2

x = 5*2

x =10

tan theta = opp /adj

tan 60 = x/y

ytan 60 = 10

y = x/ tan 60

y = 10/ sqrt(3)

y = 10/ sqrt(3)  * sqrt(3)/ sqrt(3)

y = 10 sqrt(3)/ 3

Related Questions

find the slope that passes through the points : (-2, 5) & (-7,8)

Answers

Answer:

-3/5

Step-by-step explanation:

We can find the slope using the slope formula

m= ( y2-y1)/(x2-x1)

    = ( 8-5)/(-7 - -2)

    = (8-5)/(-7+2)

   = 3/-5

  - 3/5

I need help can someone help me out

Answers

Answer:

C' (-1,-2)

V' (-2,2)

N' (2,0)

Answered by GAUTHMATH

P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode

Answers

Answer:

range

Step-by-step explanation:

The difference between the largest and smallest value in a data set is the range

Answer:

Range

Step-by-step explanation:

I hope this will help you buddy

4. Find f(x) - g(x)
4 options to chose from

Answers

Option 4 is the answer

Answer:

Last option

-10x³ + 2x - 8

is the answer

HOPE IT HELPS YOU

I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!!

Answers

Answer:

100 degrees

Step-by-step explanation:

measure of FHD = 65 + 35

measure of FHD = 100

Basically count/add up the total amount of degrees that are include in the angle <FHD.

-- (central angles)

So, 35 + 65 = 100 degrees

Find the length of x

Answers

Answer:

20

Step-by-step explanation:

Since the triangles are similar then the sides must be proportional

10/6 = x/12 cross multiply expressions

6x = 120 divide both sides by 6

x = 20

The system of linear equations x – y + 2 = 0 and 2x + y -14 = 0​

Answers

Answer:

(4, 6 )

Step-by-step explanation:

Given the equations

x - y + 2 = 0 ( subtract - y + 2 from both sides )

x = y - 2 → (1)

2x + y - 14 = 0 → (2)

Substitute x = y - 2 into (2)

2(y - 2) + y - 14 = 0 ← distribute and simplify left side

2y - 4 + y - 14 = 0

3y - 18 = 0 ( add 18 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Substitute y = 6 into (1) for corresponding value of x

x = 6 - 2 = 4

solution is (4, 6 )

WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold

Answers

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

please please help! I'm just bad at trig..

don't bother to scam, because you won't earn points anyway. You'll be rewarded if you help!

Answers

Answer:

P=61°

Step-by-step explanation:

P²=C²+ U²–2 C U cos P

189²= 215²+123²– 2×215×123×cos p

P= 61°

I hope I helped you^_^

Can anyone help me with this please and maybe explain it?..

Q. A factory uses 800 watts of electricity in 40 minutes. How many watts does it uses in 3 hours?​

Answers

Answer:

3600 i think

Step-by-step explanation:

3,600 divide 800 by 40, u get 20 multiply that by 180

a piggy bank contains some dimes and nickels. there are 8 more dimes than nickels in the bank. there is a total of $1.40. how many of each ryoe of coin are in the bank?

please give me a simple answer.

Answers

Answer:

4 nickels

12 dimes    

Step-by-step explanation:

Dimes are worth .1 each while nickels are .05 each.

We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.

If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4

Lets put our equations together:

d=8+n

.1d+.05n=1.4

‐-----------------Plug first equation into second.

.1(8+n)+.05n=1.4

Distribute

.8+.1n+.05n=1.4

Combine like terms

.8+.15n=1.4

Subtract .8 on both sides

.15n=.6

Divide both sides by .15

n=.6/.15=4

Remember there are 8 more dimes so d=8+4=12.

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.​

Answers

Problem:-

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.

Solution:-

Total mean score = 40

[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]

sum of observations

= mean × no of observations

= 40×100

= 4000

After the replacement, sum of new observation will be

=4000-83+53

= 3970

mean of new the observation will be

[tex] = \frac{3970}{100} [/tex]

[tex] = 39.7[/tex]

[Hence, the actual mean is 39.7]

Solve the equation for x and y​

Answers

Answer:

Step-by-step explanation:

15x + 6y = 0

4x - 6y = -38

19x = -38

x = -2

2(-2) - 3y = -19

-4 - 3y = -19

-3y = -15

y = 5

(-2, 5)

Simplify x + 6.2 + 8.5.

6.2x + 8.5
x + 14.7
14.7x

Answers

Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

10x + 147
________ Or x + 14.7
10

Carrie is asked to draw a triangle with the following specification
• at least two angles measuring 60°
Which of the following statements about this triangle is true?
A. One and only one triangle exists with the given condition, and it must be an equilateral triangle
В.
More than one triangle exists with the given condition, and all instances must be equilateral triangles
C
One and only one triangle exists with the given condition, and it must be an isosceles triangle
D
More than one triangle exists with the given condition, and all instances must be isosceles triangles





Answers

Answer:

just put in the cheat codes of life its not that hard

Answer:

answers is B

(Study island)

Step-by-step explanation:

Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.

Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???

Answers

Answer:

55 ways

Step-by-step explanation:

Out of 12 consecutive integers:

3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3

Sum of 3 integers will be divisible by 4 if the remainders are:

0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9  combinations 1 - 1 - 2  ⇒ 2*3 = 6  combinations 1 - 2 - 1  ⇒ 2*3 = 6  combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinations

So total number of combinations is:

1 + 9*4 + 6*3 = 55

4 glue sticks cost $7.76.
Which equation would help determine the cost of 13 glue sticks?

Answers

Answer:

price = 7.76/4 * 13

Step-by-step explanation:

Divide $7.76 by 4 to find the price of one glue stick.

Then multiply that by 13.

price = 7.76/4 * 13

Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?

Answers

Answer:

216

Step-by-step explanation:

Volume of a rectangular prism = area of base * depth

Area of base: 72

Depth: 3

Volume = 72 * 3 = 216

What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49

Answers

1/49 would be the answer

Find g(5)+h(2)
g(x)=2x-5
h(x)=4x+5

Answers

Step-by-step explanation:

g(5)=2(5)-5=5

h(2)=4(2)+5=13

g(5)+h(2)=5+13=18

when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number​

Answers

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

Jay has a jar of beads. 6 purple beard, 8 blue beads, and 4 yellow beads. If he removes one bead at random, what is the probability that it will not be yellow?

Answers

You get a pie chart to do percentages just so you dont cheat you still can do work y'know

the area of square is 64cm square .find its length​

Answers

Answer:

8 cm

Step-by-step explanation:

Because A=a*a

Area equals length times length

So, 8 is the length

64 divided by some number must equal the exact same number. Let me show what I am talking about.

Our length is a. We multiply a times itself (because that's the formula for the square's area)

Does this number exist?

Yes, it does.

And it's a whole number.

And we know from our times tables that 8*8=64

Hope it helped you

Answer:

8 cm

Step-by-step explanation:

please mark me as brainliest

Put the numbers into the boxes to represent the sum of the rational expression
given below.

Answers

Answer:

[tex]\frac{4x+9}{2x+5}[/tex]

Step-by-step explanation:

Cross multiply.Add like terms.Simplify.

SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250​

Answers

The answer you are looking for is letter A, x=30.

Solution/Explanation:

First, write out the equation,

1200-5(3x+30)=600

Next, using the Distributive Property,

1200-15x-150=600

Simplify the left side of the equation just a little bit more,

1050-15x=600

Reverse order of terms on the left side, to make it a little bit easier to solve,

-15x+1050=600

Now, subtract 1050 from both sides,

-15x+1050-1050=600-1050

Now, simplify this part of the equation,

-15x=-450

Finally, divide both sides by -15,

So, therefore, the final answer is x=30.

I hope this helped you. Enjoy your day, and take care!

Write the equation of the graph shown below in factored form?

Answers

Answer:

1st option

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros ( where the graph crosses the x- axis ) are

x = - 2, x = 1, x = 3 , then the corresponding factors are

(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)

f(x) is then the product of the factors , that is

f(x) = (x + 2)(x - 1)(x - 3)

If x=2 and y=1, what is the value of the expression 3(y - 1) + 2x² ? a. 8 b. 10 c. 16 d. 18

Answers

Answer:

8

Step-by-step explanation:

3(y - 1) + 2x²

Let x =2 and y =1

3(1-1)+2 (2)^2

3(0) +2(4)

0+8

For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7]​, solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.

Answers

Answer:

Stationary matrix S = [ 0.6   0.4 ]

limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Step-by-step explanation:

Transition matrix

[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]

solving the equation SP = S ( using Markova chain with 2 states )

stationary matrix,  S = [ a , 1 - a ]

given that  SP  = S

[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] =  [ a , 1 - a ]

= a*(0.8) + ( 1 - a ) ( 0.3 ) = a

∴ a = 0.6

hence;  stationary matrix S = [ 0.6   0.4 ]

             limiting matrix  P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]

Which type of transformation is this?

Answers

Reflection across the x-axis

The type of transformation in this situation is refelction on the x-axis.

It cannot possibly be translated or rotated around the origin.

Hope this helps!

Have a wonderful day!

To find the length of segment AB, when given coordinates A (2.3) and B(1,9) it's best to use the Distance Formula.

O True
O False

Answers

True. Distance formula will give you the length between any two points.
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