Find the value of y.

Find The Value Of Y.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.

You can get that by finding the smaller value of the larger triangle.

[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]

x[tex]\sqrt{3}[/tex] = 8

x = [tex]\frac{8}{\sqrt{3} }[/tex]

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

That is the hypotenuse of the smaller triangle. To find y...

[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]

2y = [tex]\frac{8\sqrt{3} }{3}[/tex]

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

Hope this helps!


Related Questions

What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?

Answers

Answer:

The area of the rectangle would be 20 square units.

Step-by-step explanation:

The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle.  The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.

Answer:

Area = 20

As B = -4

Where -3-1 = -4

We look at x for first measure = -8 -3 = 5

We look at y first sequence change for second measure = -B

x/y = -3-8 /-8 + B

= -3-8 = -8(-8)+B

B = -3+B = -3+1

B= -3+1 = -4

Second measure = -8-4 = 4

Therefore, using both measures in bold : the Area = 4 x 5  = 20  

Step-by-step explanation:

Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10

Answers

Answer:

A) 12

Step-by-step explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]

Multiply both sides by 2y:

[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]

Hope this helps!

Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.

Answers

Answer:

Option A

Step-by-step explanation:

The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.

Option A should be the correct answer.

Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.

The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.

How to determine the true statement?

From the figure, we have the following highlights

Corresponding angles are congruentCorresponding sides are congruent

The above means that the transformation from one triangle to the other is a rigid transformation

Hence, the true statement is (a)

Read more about rigid transformation at:

https://brainly.com/question/4057530

#SPJ5

If ΔP′QR′ is a dilated image of ΔPQR, find the scale factor (k) and then find the value of x. answers: A) 7 B) 10.7 C) 6 D) 73.5

Answers

Answer:

see explanation

Step-by-step explanation:

To find k, calculate the ratio of corresponding sides, image to original, that is

k = [tex]\frac{P'R'}{PR}[/tex] = [tex]\frac{8}{28}[/tex] = [tex]\frac{2}{7}[/tex]

Thus

QR' = [tex]\frac{2}{7}[/tex] × QR = [tex]\frac{2}{7}[/tex] × 21 = 2 × 3 = 6 , that is

x = 6 → C

The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33​

Answers

Answer: 3/21=1/7

Step-by-step explanation:

A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?

Answers

Answer:

4000 N

Step-by-step explanation:

this question should be in physics actually

m = 1200 kg

initial velocity = vo = 15 m/s

final velocity = vt = 0 because it stops

time needed = t = 4.5

so we can find the Force F by these step

first find deacceleration

vt = vo + at

0 = 15 + a(4.5)

15 = -4.5a

a = - 15/4.5 = - 10/3 = - 3.33 m/s²

F = m.a = 1200 . 10/3 = 4000 N

(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.

Answers

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

[tex]2 3/5 × 3 1/3[/tex]

Answers

Answer:

26/3

Step-by-step explanation:

2 3/5 × 3 1/3

Change to improper fractions.

13/5 × 10/3

Multiply both fractions.

130/15

Simplify.

26/3

Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31

Answers

Answer:

The answer is a

Step-by-step explanation:

Becuase its right

Answer:

This is not an answer, just my though process:

Step-by-step explanation:

The fastest method would use all white squares:

96 white squares would take 13.7 days to complete and cost $115.20.

The cheapest method would use all blue squares:

96 blue squares would take 24 days to complete and cost $76.80.

As we can see, time is not the limiting step, the maximum of 96 squares is limiting.

An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.

A more concise answer would be: [tex]4b\leq 96[/tex]

A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?

Answers

Answer:

24

Step-by-step explanation:

It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.

Answer: 24

Step-by-step explanation:

40/5=8

So 8hrs per pool, and there are  3 pools so 8*3=24min

if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.

Answers

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!

Answers

Answer:

7

Step-by-step explanation:

1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer

Answers

This is how you solve 1/2(8+6)-2=4+x-2

Answer:

3

Step-by-step explanation:

1/2(8+6)-2=4+x-2

1/2*14 -2 = 2+x

7-2=2+x

5=2+x

x=5-2

x=3

What is the least common factor of 9 and 15? (Don’t say 45 please because that’s not the answer I’m looking for ;)

Answers

Answer:

The (GCF) greatest common factor is 3

hope this helps ;)

Step-by-step explanation:

Answer:

LCF = 3

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 15 are: 1, 3, 5, 15

The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.

I hope this helps!!

There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?

Answers

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

Need so help. REally appreciate it

Answers

Answer:

y = (1/2)(x) + 1/2

Step-by-step explanation:

The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).

As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2.  Thus, the slope of the line is m = rise / run = 1/2.

Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as

y = (1/2)(x) + 1/2

how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?​

Answers

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?​

Answers

Answer:

Alex : 18

Step-by-step explanation:

3 + 2 = 5

30 ÷ 5 = 6

6 × 3 = 18

6 × 2 = 12

hey pls show some working i need some serious help

Answers

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4

Answers

Answer:

38

Step-by-step explanation:

38 because

A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving

Answers

Answer:

1 1/3 meter a minute

Step-by-step explanation:

it pretty simple i just added

Answer:

1 1/3

Step-by-step explanation:

Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72

Answers

let Jeremy's age be x
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72

pls help will mark brainliest

Answers

Answer:

[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]

Step-by-step explanation:

[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]

[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]

[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into

[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into

[tex]123456654321 - 12345654321[/tex] subtract turns into

[tex]111111000000[/tex]

Answer: 111,111,000

Step-by-step explanation: Logically it should be that

PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches

Answers

Answer:

48.5

Step-by-step explanation: i just did the problem

Answer:

48.5 is your answer

Step-by-step explanation:

Tickets to a concert cost either $12 or $15. A total of 300 tickets were sold, and the total receipts were $4140. How many of each kind of ticket were sold?

Answers

Answer:

1,242,000

Step-by-step explanation:

Every integer is a whole number
Please select the best answer from the choices provided
T
F

Answers

Answer:

This is true.

A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?

Answers

Answer:

[tex]A = 20,000(0.85)^t[/tex]

Step-by-step explanation:

We will use the formula for compound interest here

where [tex]A = p( 1 + r)^t[/tex]

   A=future value  for any sum

   P=present value of the sum

   r= yearly interest rate, it should be expressed in  decimal

   t=time period , it should be in years

______________________________

given in the problem

p = $20,000

r = 15% (in decimal 15/100 = 0.15)

t is the time for which equation is to be model to find future value p

since, rate is for depreciation we need to take negative value of rate as value for computer will decrease

thus

r = -0.15

using the above values in formula  [tex]A = p( 1 + r)^t[/tex]

[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]

Thus, model  equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]

The sum of three consecutive integers is 270. Find the integers

Answers

Answer:

Step-by-step explanation:

89,90,91

Answer:

Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:

x + x + 1 + x + 2 = 270

3x + 3 = 270

3x = 267

x = 89 which means that the answer is 89, 90, 91.

Sara leaves home at 7 A.M. traveling at a rate of 45 mph. Her son discovers that she has forgotten her briefcase and starts out to overtake her. Her son leaves at 7:30A.M. traveling at a rate of 55 mph. At what time will he overtake his mother?

Answers

Answer:

B I think

Step-by-step explanation:

Answer:

Dude, there is no option?

Step-by-step explanation:

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