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

15. Instructions: Use The Ratio Of A 30-60-90 Triangle To Solve For The Variables. Leave Your Answers

Answers

Answer 1

Answer:

  x = 13√3

  y = 13

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

In order to make the long sides match, we need to multiply these by 13:

  1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26

Matching values, we find ...

  x = 13√3

  y = 13


Related Questions

NEED HELP 100 POINTS TO ANSWER QUESTION PLEASE !!!!!!!!

Find the volume of the prism:



Question 5 options:

V = 125 in³


V = 100 in³


V = 120 in³


V = 105 in³

Answers

120 is the answer because 4*5 is 20 and then you multiply 20*6 and you get 120

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

can someone please help me with this question

Answers

Answer:

88 [tex]in^2[/tex]

Step-by-step explanation:

2(2 x 6 + 4 x 6 + 4 x 2)

[tex]2[/tex][tex](wl+hl+hw)[/tex]

Tell me how to describe the translation

Answers

figure IMQU vertically over +4

yes or no for part two

Answers

the answer is no i think
The answer is most likely no.

Alfred, an electrician, charges a $65
service fee plus $33 an hour. If it takes 2.4 hours
for Alfred to install a chandelier at a customer's
house, how much should he charge?

Answers

Answer:

$144.20

Step-by-step explanation:

2.4(33) + 65

79.2 + 65

144.2

$144.20

factors and find
i) the HCF of 48,30 and 18.
ii) the LCM of 48, 30 and 18.

Answers

the gcf of 48, 30, & 18 is 6
the lcm of 48, 30, & 18 is 720

Find the common difference of the arithmetic sequence 4, 2, 0,

Answers

Explaination :

Remember that common difference is simply calculated by substracting the second number from first number. i.e., (4 - 2 = 2)

Therefore,

Common difference is 2

Additional Information :

Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.

Question 22 (2 points)
Which object listed below has the greatest momentum?
A 0.05 kg object rolling at 0.2 m/s.
B 0.15 kg object rolling at 1 m/s
C 0.15 kg object rolling at 2 m/s.
D 0.4 kg object rolling at 2 m/s.

Answers

Answer:

D.

Step-by-step explanation:

Momentum(p) is Mass(m) times Velocity(v) or p = mv

The results of the calculations are attached.  0.4 kg at 2 m/s has the most momentum:  0.8 kg*m/s

I need help

Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.

Answers

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Match each word to its definition.

Answers

Answer:

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

1. biased sample: sample not representative of the entire population

2.convenience sample: sample where representatives are easily accessible

3.unbiased sample: sample where every member of the population has an equal chance

4. self-selected sample: sample where members volunteer to take part

5. stratified sample: members are selected from the different subgroups within a population

6. systematic sample: sample members are selected through the use of a rule.

Hope this helps!!

What is the measure of arc AB?

Answers

Answer:

First find out area of circle and find the A B X angle then substract Total area by ABX

Answer:

68

Step-by-step explanation:

The intercepted arc (AB) is double the inscribed angle (34)

On January 1, one share of stock in the LMNOP Corp was worth $85. By December, it lost 11.6% of its value. What is the new value of one share of LMNOP stock?

Answers

Answer:

multiple then dived the numbers together

Based on the previous worth of the stock and the value lost, the new value of the LMNOP stock is $75.14.

What is the new value of the LMNOP stock?

The value of $85 lost approximately 11.6% of its value.

The new value can be found as:

= Previous stock price x ( 1 - percentage loss)

Solving gives:

= 85 x (1 - 11.6%

= 85 x 88.4%

= $75.14.

Find out more on stock pricing at https://brainly.com/question/25300299.

What is the measure of \angle K∠Kangle, K?

Answers

Answer:

95⁰

Step-by-step explanation:

95⁰ is the measure of <k

Because in a cyclic quadrilateral sum of opposite angles is equal to 180⁰

I hope it helped you

Kenny has $500 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much interest will he earn in 1 year?

Answers

Answer:

$525

Step-by-step explanation:

new value = starting value(1 + rate)^years

new value = 500(1 + .05)^1

new value = 500(1.05)

new value = $525

Answer:

25

Step-by-step explanation: Im not sure how to do it thats just what IXL says

A spherical ball holds about 523 cubic
centimeters of air. Find the radius of the ball
to the nearest whole number. Use 3.14 for TT. ANSWER FAST

Answers

Answer:

r=4.998

Step-by-step explanation:

The equation for volume of a sphere is [tex]V = \frac{4}{3} \pi r^3[/tex].

We can subsatute 523 in for V and then solve for r by multiplying both sides by 3 and then dividing both sides by 4pi.  Then, take the cube root of each side and you will get r.


What is the value of the expression (2^4)^2?

Answers

Answer:

256

Explanation:

[tex]\dashrightarrow \sf \left(2^4\right)^2[/tex]

apply exponent rule: [tex]\bold{\left(a^b\right)^c=a^{bc}}[/tex]

[tex]\dashrightarrow \sf 2^{4*2}[/tex]

[tex]\dashrightarrow \sf 2^{8}[/tex]

[tex]\dashrightarrow \sf 256[/tex]

[tex]\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}[/tex]

what is 4.768 as a common fraction

Answers

Answer:

[tex] \frac{596}{125} [/tex]

should be it

HELP PLEASE URGENT!!!!!

Answers

Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=π/4+2πn, 3π/4+2πn, for any integer n

Step-by-step explanation:

help me out please ty!

Answers

Answer:

a5 = 2604

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:a1 = 4[/tex]

Now, let's proceed next till we get[tex] \tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 11[/tex]

Similarly,

[tex]\qquad \tt \dashrightarrow \: a_3 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \: a_4= - 191[/tex]

Now, let's solve for [tex]\tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 764 + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 769[/tex]

If 3/x = 5/y, what is the value of y/x?

Answers

Answer: 5/3

Step-by-step explanation:

1. 3/x = 5/y

2. Cross multiply

3y = 5x

3. Dividing the sides by 3

y = 5x/3

4. Dividing the sides by x

y/x = 5/3

pls help with math it is due soon​

Answers

Answer:

x = 25

Step-by-step explanation:

- Use trigonometric ratios to solve for x

Cos(45) = x / (25×(2^0.5))

x = (Cos(45)) × (25×(2^0.5))

x = 25

please give me answer
please give me answer​

Answers

Did I read your handwriting correctly? Is this what you wrote? If so the answer is:

[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]

Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.​

Answers

hello!

In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.

In this case, the x-coordinate is:-

[tex]\mathrm{1}[/tex]

and the y-coordinate is:-

[tex]\mathrm{-1}[/tex]

Plug in the values:-

[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]

[tex]\mathbf{-10-5=-8}[/tex]

[tex]\mathbf{-15=-8}[/tex]

Huh?!

As you can see, we ended up with a false statement.

Hence, the answer is:-

[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Step-by-step explanation:

Generaly , a point A(x₀ , y₀)  lies on the line of equation ax + by = c

If its coordinates verify the equation which means

When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c

Then

just replace x by 1 and y by -1 in the equation: -10x + 5y = -8

We get , -10(1) + 5(-1) = -10 - 5 = -15

Since -15 ≠ -8 then (1 , -1) don’t verify the equation

Hence ,  the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

I don’t understand this question

Answers

Answer:

Step-by-step explanation:

Find the length of AB
help

Answers

Answer: 9

Step-by-step explanation:

If f(x)= 4x exponent 3 - 11x , what is the valueof f(5)?

Answers

Answer:

445

Step-by-step explanation:

4(5)^3-11(5)

500-55

445

The sum of consecutive positive integers is 93.find number

Answers

I’m sure it’s 30, 31, 32

9
Manuel bought supplies for a school project for $11.29. He paid with a $20 bill. How much change did he get back?
OA $31.29
OB. $8.71
OC. $7.71
OD. $8.81
Reset
Next

Answers

Answer:

B

Step-by-step explanation:

$20-$11.29= 8.71 change he wil get back

In the figure below, all lines intersect at point W. What is the value of angle VWX?*

Answers

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

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