Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Quadrilateral HIJK Is Similar To Quadrilateral LMNO. Find The Measure Of Side OL. Round Your Answer To

Answers

Answer 1

Answer:

x = 77.5

Step-by-step explanation:

1. Use cross-multiplication to find x.

[tex]\frac{13}{21} =\frac{48}{x}[/tex]

[tex]13x =1008[/tex]

2. Divide and round.

x ≈ 77.5


Related Questions

a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe​

Answers

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F

Answers

Answer:

(A) -9 °F

Step-by-step explanation:

On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill

temperature only reached¼ of Sunday's wind chill temperature. What was the

lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F

Sunday temperature = - 36 °F

Monday temperature = ¼ of Sunday's wind chill temperature

Monday = 1/4 of - 36 °F

= 1/4 * -36 °F

= (1 * -36)/4 °F

= -36/4 °F

= -9 °F

Monday temperature = -9 °F

The correct answer is (A) -9 °F



1. Calculate the circumference of the circle to the right. Use 3.14 for at
34 cm
Circumference: Click to add text

Answers

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help

Answers

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

FT is tangent to OP at T. If FP = 39 and FT = 36, what is PT?
39
T
36
A 20
B. 12
C. 3
D. 15

Answers

Answer:

[tex]D) 15[/tex]

Step-by-step explanation:

[tex]39^{2}=36^{2} +PT^{2}[/tex]

[tex]PT^2=39^2-36^2[/tex]

[tex]PT=\sqrt{39^2-36^2}[/tex]

[tex]PT=15[/tex]

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

hope it helps...

have a great day!!

I need help please it would really help

Answers

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

seth put $500 in his savings account, which earns a earns a simple interest rate of 4%

A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years

Someone help me out :)

Answers

Answer:  sorry i dont know this

Step-by-step explanation:

What is the approximate volume of the cone? Use 22 for it. Enter your answer in the box.
3 cm
14 cm
About
cm3

Answers

Step-by-step explanation:

[tex] \frac{1}{3} ( \frac{22}{7} ) {(3)}^{2} (14) \\ \frac{1}{3} ( \frac{22}{7})(9)(14) \\ \frac{1}{3}( \frac{22}{7}) (126) \\ 42( \frac{22}{7}) \\ \frac{924}{7} \\ 132{cm}^{3} [/tex]

A school uses the function p(t)=t2−20t+175 to model the profit (in dollars) expected in a weekend when the tickets are sold at a certain price, t, to the school musical go on sale a. Write an equation to find out the prices at which the school would earn $100 in profit from the school musical each weekend. b. Find out at what prices the tickets should be sold at to make a $100 profit each weekend. SHOW ALL WORK.

Answers

Answer:

[tex](a)\ t^2 - 20t + 75= 0[/tex]

[tex](b)[/tex] [tex]t = 5; t -=15[/tex]

Step-by-step explanation:

Given

[tex]p(t) = t^2 - 20t + 175[/tex]

Solving (a): Equation when profit = 100.

This implies that:

[tex]p(t) =100[/tex]

So, we have:

[tex]100 = t^2 - 20t + 175[/tex]

Rewrite as:

[tex]t^2 - 20t + 175 - 100 = 0[/tex]

[tex]t^2 - 20t + 75= 0[/tex]

Solving (b): Calculate t, in (a)

In a, we have:

[tex]t^2 - 20t + 75= 0[/tex]

Expand

[tex]t^2 - 15t -5t + 75= 0[/tex]

Factorize

[tex]t(t - 15) -5(t - 15)= 0[/tex]

Factor out t - 15

[tex](t - 5)(t - 15)= 0[/tex]

Split

[tex]t - 5 = 0; t - 15 =0[/tex]

Solve

[tex]t = 5; t -=15[/tex]

The prices are $5 and $15, respectively

I NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:

Given csc A= 37/12 and that angle A is in Quadrant I, find the exact value of sec A in
simplest radical form using a rational denominator.

Answers

Answer:

Step-by-step explanation:

Below is the pic of how this would be set up in order to determine what it is you are looking for. The angle is set in QI, and since csc A is the reciprocal of sin, the ratio is hypotenuse over side opposite. Solve for the missing side using Pythagorean's Theorem:

[tex]37^2=12^2+b^2[/tex] and

1369 = 144 + b² and

1225 = b² so

b = 35

The sec ratio is the reciprocal of cos, so if cos is adjacent over hypotenuse, the sec is hypotenuse over adjacent, which is 37/35

please answer these questions. only use the power of one to solve it. if u answer it right il give brainlest and ill make another question which u can get 50 points for free. pls answer no links or random answers.

Answers

Answer:

9a) 6 1/5

b) 6 4/7

c) 1 1/0

d) 4 1/8

e) 1 1/3

f) 3 1/6

10a) 15 years old

b) 14 1/6 years old

11) 8/3 = 2 2/3

7/5 = 1 2/5

2 2/3 + 1 2/5 = 4 1/15

12a) They ate 3 11/12 pizzas

b) They ate 1 1/3 more cheese pizzas than veg

Find sec 0, sin 0, and tan 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.

Answers

Answer:

Secθ = 11 / 9.22 or sec33°

Sinθ = 6 / 11 or Sin33°

Tanθ = 6 / 9.22 or Tan33°

θ = 33°

Step-by-step explanation:

Given:

Hypotenuse = 11 unit

Perpendicular = 6 unit

Find:

Secθ

Sinθ

Tanθ

Computation:

Base = √Hypotenuse² - Perpendicular²

Base = √11² - 6²

Base = √121 - 36

Base = √85

Base = 9.22 unit (Approx.)

Secθ = Hypotenuse / Base

Secθ = 11 / 9.22 or sec33°

Sinθ = Perpendicular / Hypotenuse

Sinθ = 6 / 11 or Sin33°

Tanθ = Perpendicular / Base

Tanθ = 6 / 9.22 or Tan33°

So value of θ = 33°

What is the amplitude of the graph of y = 2 sin (4x – 1) + 3?
A. 1
B. 3
C. 2
D. 4

Answers

Answer: 2 is the answer

Step-by-step explanation:

On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.

Answers

The mean of the test that has a normal distribution is 55.

What is the mean of the test?

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

Learn more about normal distribution here: https://brainly.com/question/29509087

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I suck at math help if you know and explain plz and thank you!

Answers

Answer:

13Y

Step-by-step explanation:

7+6 = 13

Answer:

Step-by-step explanation:

7y+6y

y(7+6)

y*13

13y

Or

since they are like term u simply add them

7y+6y

13y

which elevation is higher 8 feet below sea level or 13 feet below sea level

Answers

Answer: 8 feet below sea level is higher

Step-by-step explanation:

8 feet below see level because it would be counted as a negative which is higher then /it’s closer to 0

The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.

Answers

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)

Answers

2x+4(2x+7)+3(2x+4)
2x+8x+28+6x+12
16x+40

16x+40 would be the answer you can’t solve it any further

Answer:

merhabalar !

HAVE A NİCE DAY

How how how how how how answers plz

Answers

9514 1404 393

Answer:

  a) 540°

  b) 720°

  c) 900°

  d) 1440°

Step-by-step explanation:

The total measure of internal angles of a convex polygon is given by the formula ...

  sum of angles = 180°(n -2) . . . . for an n-sided polygon

So, you count the sides, subtract 2, and multiply that result by 180°.

__

a) 180°(5 -2) = 540°

b) 180°(6 -2) = 720°

c) 180°(7 -2) = 900°

d) 180°(10 -2) = 1440°

Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!

Answers

C. X=70

Consecutive angles are supplementary (add to 180)

70+ x + 40 = 180

110 + x = 180

X = 70

The value of x that makes ABCD a parallelogram is C. x = 70°.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

To learn more about Parallelograms, click here :

https://brainly.com/question/11220936

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PLS HELP LOLZ <33

tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year

Answers

Answer: tasha's investment will be worth $1,440

Step-by-step explanation:

4%= 4/100= 0.04

PRT=6,000*0.04*6= $1,440

Why did the robber take a bath

Answers

Answer:

To make a "clean getaway"

Step-by-step explanation:

haha, nice one :D

A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.

Answers

Answer:

He will have to cut off 1.25 inches.

Step-by-step explanation:

Take 5% of 5 inches

0.05(5)=0.25 inches

5 inches - 0.25 inches= 4.75 inches

4.75 inches is how wide the wood is after it shrinks.

Find how much he needs to cut off

4.75 inches - 3.5 inches=1.25 inches

He will need to cut off 1.25 inches in order for the block to fit exactly.

Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)

Answers

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

If someone vapes for every 15 minutes in a total of 16 hours how many times would they vape in those 16 hours

Answers

Answer:

64 times

Step-by-step explanation:

There are 4 sessions of 15 minutes in an hour. Meaning that a person would vape 4 times in an hour. 4 * 16 = 64. A person vapes 64 times in 16 hours. o-o dont vape kids.

Answer and Step-by-step explanation:

We are given the ratio of 1 vape every 15 minutes. We need to convert the time to hours, then multiply the hours by 16.

1 : 15

We know that there are 60 minutes in 1 hour, so we need to multiply 15 by 4 to get 60.

15 × 4 = 60

We also need to multiply 1 by 4, so that the result will be a multiple of the beginning number and so that we didn't get random numbers from somewhere.

1 × 4 = 4

Now we have the ratio 4 : 60, which means that the person vapes 4 times every 60 minutes, or every hour. But since we turned the minutes into an hour, this turns the 60 into a 1.    4 : 1

Now, we have to multiply 4 and 1 by 16 to get the amount of vapes done in 16 hours.

4 × 16 = 64

1 × 16 = 16

So, we have the ratio 64 : 16

This means that the person smokes 64 times in the 16 hours.

#teamtrees #PAW (Plant And Water)

Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32

Answers

6x+7y=32 and 2x+5y=16

if you add the two equations you get the first answer and if you subtract the two equations you get the second answer

Calculate the volume of the cylinder

Answers

Answer:

4^4 = 16 (we square our radius when finding area)

16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24

Now we multiply the area of one circle by the height to get the PRISM'S volume.

50.24(area) x 13(height) = 653.12 cm^3 is your answer.

Which of the following is a true sentence? *
-7 > +5
w
O
-7 > +7
O
-7 < +5
O
0 <-5​

Answers

Answer:

Step-by-step explanation:

I have the same question :(((

Hdhdudus dhdhdhdh dhdhdhdh dhdhdhdh HD dhdhdhdh

PLEASE HELP 30 POINT AND BRAINLIEST

Answers

Answer:

first is 2 second is 3

Step-by-step explanation:

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