Mathematics High School

Use a special right triangle to find the value of y. Write as a decimal rounded to the nearest 10th

Use A Special Right Triangle To Find The Value Of Y. Write As A Decimal Rounded To The Nearest 10th

Answers

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

in a right angle triangle,

[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\sin 60^\circ=\dfrac{6}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{y}[/tex]

On cross multiplication, we get

[tex]\sqrt{3}y=12[/tex]

[tex]y=\dfrac{12}{\sqrt{3}}[/tex]

[tex]y=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]y=4\sqrt{3}[/tex]

Therefore, the value of y is [tex]4\sqrt{3}[/tex] units.

Related Questions

Someone please help!! I have to finish this and Im dum.b lol
(( Ignore the first answer, I didnt mean to put true-)

Answers

Answer:

1) False

2) True

3) True

4) False

Step-by-step explanation:

For the first statement, we can look at a graph with the line of y = 3.69x plotted. If we check the points (7.38, 2) and (11.07,3), they do not intersect with the line. So, the first statement is false.

For the second statement, we can check the equation for the line to find the slope. The equation, y = 3.69x, is in slope-intercept form, or [tex]y = mx + b[/tex]. In this form, [tex]m[/tex] is the slope of the line. [tex]b[/tex] is the y-intercept. In this line, there is no y-intercept specified, so we can take this to mean the y-intercept is 0. The slope, we can see, is 3.69. The slope, multiplied by x, shows us any point of the line. The second statement, then, is true.

The next statement can be verified by finding just how much 16 gallons will cost. Like we've seen before, the slope can be multiplied by x, the number of gallons, to see where that point will be plotted. So, we can multiply the slope by 16.

3.69 · 16 = 59.04

The (x) value, we already know, is 16. The (y) value, we've found, is 59.04. So 16 gallons will be plotted at  (16, 59.04). The third statement is true.

The last statement says that if the price increases by $0.05, the slope will be 3.64. We can tell this is false by adding 0.05 to the original slope, 3.69.

3.69 + 0.05 = 3.74

3.74 ≠ 3.64, so the last statement is false.

I hope this was helpful to you ^^

Good luck

HELP PLEASE, NO FILES OR LINKS PLEASE

Catherine invests $650 in a savings account that earns 2.5% simple interest annually. If she does not make any additional deposits or withdrawls, how much money will be in the savings accoung after 3 years?

Answers

Answer:

$699.98

Step-by-step explanation:

Solve for y: 5(y + 2/5) = -13

Answers

The answer is y= -3

Hope this help

Answer:

y = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

5 (y+2/5) = −13

Step 1: Simplify both sides of the equation.

5(y+2/5)= −13

(5)(y) + (5)(2/5) = −13(Distribute)

5y + 2 = −13

Step 2: Subtract 2 from both sides.

5y + 2 − 2 = −13 −2

5y = −15

Step 3: Divide both sides by 5.

5y/5 = −15/5

y = −3

Answer:

y = −3

hope this helps and is right :)

WHAT IS 4/5 DIVIDED BY 8?



I WOULD GIVE YOU A POINTS

Answers

Answer:

1/10

Step-by-step explanation:

Answer: 0.1

Step-by-step explanation:

8. Jana bought 1 hat and 2 skirts. The hat cost $28.53, and the skirts cost $15.88 each. What was the total cost in dollars and cents of the items Jana bought?​

Answers

Answer:

$60.29

Step-by-step explanation:

$15.88 times 2 = $31.76 (cost of the 2 skirts)

then add the 2 skirts cost with cost of the hat

$31.76 + $28.53 = $60.29

The volume of the geometric figure below is _______ cubic ft

Answers

Answer: Your answer in 840 cubic feets

Step-by-step explanation:

u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.

If this helps plz mark me brainlest

Good luck :D

Ryan is a construction worker and is about to put a roof on a new house. He has to measure the front of the roof which is in the shape of a triangle. He finds out the height of the triangle is 12ft and the base of the triangle is 24 feet. How many square feet of wood does he need to purchase to cover the front of the roof?

Answers

Area of the triangle=1/2*base*height

height=12ft

base=24 ft

1/2*12*24

=144sq.ft is the area

He needs to purchase 144 sq.ft of wood to cover the front roof

Answer this shi



zzzzzzzzzxxxxx

Answers

Answer:

70 degrees

Step-by-step explanation:

daid1784 help!! pls Image

Answers

a, c, c, b, d hope this helps

2 Questions for Math ! Please Help :) 1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X What is the value of X and what are the measures of angles A,B, and C? 2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

Please answer correctly! I will mark you Brainleist!

Answers

Answer:

500cm²

Step-by-step explanation:

im not sure if im right plz can i get brainliest;)

Answer:

50 cm²

Step-by-step explanation:

All that needs to be done here is divide 1000 by 20 to get 50 cm² for the base.

HELP ASAP, WILL MARK BRAINLEST

Answers

Answer:

4/6

Step-by-step explanation:

y = 2x - 4 y = x + 1

Solve using substitution. ​

Answers

Step-by-step explanation:

heres tue answer. hope that helps

Answer:

x=5,y=6

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Apr 17, 1:48:02 AM
- 2y = -19 and 3x + 5y = 48 by combining
Solve the system of equations
the equations.

Answers

Answer:

y = 9.54

and, x = 0.08

Step-by-step explanation:

Given that

x - 2y = -19 .......................(1)

3x + 5y = 48 ...............(2)

Based on the above information

Multiply by 3 in equation 1

So,

3x - 6y = -57

3x + 5y = 48

-     -        -

-11y = -105

y = 9.54

So, the x would be

x - 2(9.54) = -19

x - 19.08 = -19

x = -19 + 19.08

x = 0.08

Which matrix is matrix B?

Answers

Answer:

C

Step-by-step explanation:

The length of one strip of paper is 1 whole unit.Fold two strips of paper in half.Open the strips and place them ent end .How many halves do you have?How can you use halves to name the fold lines?

Answers

Answer:

The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.

Step-by-step explanation:

When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.

yes or no the shape is or is not a rectangle

Answers

Answer:

no the shape is not a rectangle

Answer:

No it isnt a rectangle

Step-by-step explanation:

it is a parallelogram

What is the range?
981356 mean and median

Answers

Answer:

mean: 15

median: 14

mode: 13

range: 8

1,346.275 round to the nearest whole number

Answers

Answer:

1,346

Step-by-step explanation:

The entry fee to the fair is $4.00. Each ride requires a ticket that costs $0.50. Heidi spent a total of $12.00.

How many tickets did Heidi purchase?


A6
B32
C16
D24

Answers

Answer:

C. 16 is your answer

Step-by-step explanation:

the equation is 4 + 0.5x = 12 where x is the number of ride tickets

4 + 0.5x = 12

0.5x = 8

x = 16

Someone help me with these pls?

Answers

Answer:

Step-by-step explanation:

18 : 63

Both have 9 in common

2 : 7

Option C is the correct answer

Option F is the correct answer

Which of the following has the greatest value? 11OI ООО -1-141 1-121 D 18I​

Answers

Answer:

d

Step-by-step explanation:

Find the surface area of the cylinder to the nearest whole number the figure is not drawn to scale

Answers

The answer would be 2,205in squared. When you do the formula for it 2times pie times the radius squared +2 times pie times the radius times the height you get 2,205 or 2,205.39804282.

I need help please!!

Answers

A
B
C
E
F
G
(It’s basically just a game of making pairs)

I have the answer I just have this one question. Will all the paint fit into the bucket?


There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?

Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answers

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

Debera earns $350 a month. She saves $28 a month. Savings is what percent of her income?

Answers

We can find percent by dividing savings by total earned. 28/350=8%

8%

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

Simplify-: 5^2 * 2^3

Answers

Answer:

33

Step-by-step explanation:

5^2+2^3

25+2^3

25+8

33

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5).
What is the equation of the line parallel to the given line with an x-intercept of 4?

y =
x =

Answers

Answer:

1st: 4

2nd: -16

Step-by-step explanation:

Trust the process

The required equation of the parallel line is 4x + y = 16.

Given that,
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5), what is the equation of the line parallel to the given line with an x-intercept of 4 is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the parallel line,
m = 5 + 3 / -3 + 1
m = 8 / -2
m = -4
Now,
The line has the x-intercept at x = 4,
so the ordered pair will be (4,0)
Point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
y - 0 = -4 (x - 4)
y = -4x + 16
4x + y = 16

Thus, the required equation of the parallel line is 4x + y = 16.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Please help. Please refer to the picture I really need to finish this.

Answers

Answer:

20cm^3

Step-by-step explanation:

The figure is composed by two parallelepipeds

first one

base area = 2 x 1 = 2 cm^2

height = 3 + 2 = 5 cm

V = base area x height

V = 2 x 5 = 10cm^3

second one

base area = 2 x 1 = 2 cm^2

height = 7-2  = 5 cm

V = 2 x 5 = 10 cm^3

total volume = 10 x 2 = 20 cm^3

How do you leave an answer in terms of pi?

Answers

In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.

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