Simple geometry please help

Find KL. Round to the nearest hundredth.

Simple Geometry Please HelpFind KL. Round To The Nearest Hundredth.

Answers

Answer 1

Answer:

KL ≈ 1.94

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{1.3}{KL}[/tex] ( multiply both sides by KL )

KL × cos48° = 1.3 ( divide both sides by cos48° )

KL = [tex]\frac{1.3}{cos48}[/tex] ≈ 1.94 ( to the nearest hundredth )


Related Questions

Complete the pattern ___ 8,579 ____85.7 8.57____

Answers

Answer:

the next one is .857 I hope this helps you :)

What is the volume of this rectangular pyramid?

_____ cubic millimeters

Answers

Answer:

Step-by-step explanation:

L = 9 mm

W =  9 mm

H = 10 mm

volume = LWH/3 = 9·9·10/3 = 270 mm³

A manufacturer knows that their items have a lengths that are skewed right, with a mean of 5.1 inches, and standard deviation of 1.1 inches. If 49 items are chosen at random, what is the probability that their mean length is greater than 4.8 inches? How do you answer this with the answer rounded 4 decimal places?

Answers

Answer:

0.9719

Step-by-step explanation:

Find the mean and standard deviation of the sampling distribution.

μ = 5.1

σ = 1.1 / √49 = 0.157

Find the z score.

z = (x − μ) / σ

z = (4.8 − 5.1) / 0.157

z = -1.909

Use a calculator to find the probability.

P(Z > -1.909)

= 1 − P(Z < -1.909)

= 1 − 0.0281

= 0.9719

The probability of the randomly used item mean length is greater than 4.8 inches is 0.9719

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

What is Standard deviation?

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.

What is Mean?

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.

Given,

Mean = 5.1 inches

Standard deviation = 1.1 inches

Sample size = 49

New mean = 4.8

Z score = Difference in mean /(standard deviation / [tex]\sqrt{sample size}[/tex])

Z score = [tex]\frac{4.8-5.1}{1.1/\sqrt{49} }=-1.909[/tex]

Z score = -1.909

Then the probability

P(Z>-1.909)

=1-P(Z>-1.909)

=1-0.0281

=0.9719

Hence, The probability of the randomly used item mean length is greater than 4.8 inches is 0.9719

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The recipe for gelatin uses 2 cups of water with 4 packages of the gelatin mix. ? How many cups of water will be used with 12 packages of gelatin mix? ​

Answers

Step-by-step explanation:

2 cups of water used with 4 packs

therefore for 12 we use x cups of water

2:4

X :12

therefore 6'cups of water?

One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the person's height h with the linear function LACL=0.04606h−(41.29 mm) This relationship does not change significantly with age, gender, or weight. If a basketball player has a height of 2.13 m, approximately how long is his ACL?

Answers

Answer:

The [tex]L_{ACL}[/tex] of the player is  [tex]L_{ACL} = 56.82 \ mm[/tex]

Step-by-step explanation:

From the question we are told that

       The relationship between the length [tex]L_{ACL}[/tex] to the height is  

            [tex]L_{ACL} = 0.04606h - (41.29 \ mm)[/tex]

       The height of the basketball player  is  [tex]h = 2.13 \ m = 2130 \ mm[/tex]

Substituting the value of height of the basket ball player in to the model we have the [tex]L_{ACL}[/tex] of the player is

          [tex]L_{ACL} = 0.04606 (2130) - (41.29 ) \ mm[/tex]

         [tex]L_{ACL} = 56.82 \ mm[/tex]

       

Assuming that the loss of ability to recall learned material is a first-order process with a halflife of 35 days. Compute the number of days required to forget 90% of the material that you have learned today. Report to 1 decimal place.

Answers

Answer:

5.3 days

Step-by-step explanation:

Let us assume the loss of ability to recall a learned material = 100%

Formula to calculate number of days = time(t) =

t = t½ × Log½(Nt/No)

Nt = Ending Amount

No = Beginning Amount

t½ = Half life

t = Time elapsed

Therefore, we have the following values from the questions:

Half life (t½)= 35 days

Initial or beginning amount = 100%

Ending amount = 90%

t = t½ × Log½ (Nt/No)

t = 35 × Log ½(90/100)

t = 5.3201082705768 days

Approximately = 5.3 days

How do you solve an expansion?

Answers

[tex]\displaystyle\\(a+b)^n\\T_{r+1}=\binom{n}{r}a^{n-r}b^r\\\\\\(x+2)^7\\a=x\\b=2\\r+1=5\Rightarrow r=4\\n=7\\T_5=\binom{7}{4}x^{7-4}2^4\\T_5=\dfrac{7!}{4!3!}\cdot x^3\cdot16\\T_5=16\cdot \dfrac{5\cdot6\cdot7}{2\cdot3}\cdot x^3\\\\T_5=560x^3[/tex]

Answer:

[tex]\large \boxed{560x^3}[/tex]

Step-by-step explanation:

[tex](x+2)^7[/tex]

Expand brackets.

[tex](x+2) (x+2) (x+2) (x+2) (x+2) (x+2) (x+2)[/tex]

[tex](x^2 +4x+4) (x^2 +4x+4) (x^2 +4x+4)(x+2)[/tex]

[tex](x^4 +8x^3 +24x^2 +32x+16)(x^3 +6x^2 +12x+8)[/tex]

[tex]x^7 +14x^6 +84x^5 +280x^4 +560x^3 +672x^2 +448x+128[/tex]

The fifth term is 560x³.

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =​

Answers

x-y-z

[tex]\\ \sf\longmapsto XY+YZ=XZ[/tex]

[tex]\\ \sf\longmapsto 7a+5a=6a+24[/tex]

[tex]\\ \sf\longmapsto 12a=6a+24[/tex]

[tex]\\ \sf\longmapsto 12a-6a=24[/tex]

[tex]\\ \sf\longmapsto 6a=24[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{24}{6}[/tex]

[tex]\\ \sf\longmapsto a=5[/tex]

YZ=5a=5(5)=25

Value of a is 4 and value of YZ is 20 units

Step-by-step explanation:

Given:

Y is between point X and Z

Value of line XY = 7a

Value of line YZ = 5a

Value of line XZ = 6a + 24

Find:

Value of "a" and line YZ

Computation:

We know that

XY + YZ = XZ

So,

7a + 5a = 6a + 24

12a = 6a + 24

6a = 24

a = 4

Value of a = 4

So,

Value of line YZ = 5a

By putting value of a

Value of line YZ = 5(4)

Value of line YZ = 20 units

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Write and solve a word problem involving a $145.00 price and a 5.5% sales tax.

Answers

Your question is not complete but I guess you want to know the total price to be paid. This will be:

= $145 + (5.5% × $145)

= $145 + (0.055 × $145)

= $145 + $7.975

= $152.975

Which of these functions could have been the graph shown below?

Answers

Answer:

B

Step-by-step explanation:

we take the only point we know

(0,20)

in A when x =0

[tex]f(x)=e^{20x} =e^{20*0}=1[/tex]

in B when x=0

[tex]f(x)=20e^x=20e^0=20*1=20[/tex]

fits

in C

[tex]f(x)=20^x=20^0=1[/tex]

in D

[tex]f(x)=20^{20x}=20^{20*0}=20^0=1[/tex]

so the only choice is B


[tex]4 + \frac{4}{4 } \: = [/tex]
what is answer ​

Answers

Answer:

5

Step-by-step explanation:

[tex]4 + \frac{4}{4} [/tex]

= 4 + 1

= 5 (Ans)

Alice, Bob, and Carol play a chess tournament. The first game is played between Alice and Bob. The player who sits out a given game plays next the winner of that game. The tournament ends when some player wins two successive games. Let a tournament history be the list of game winners, so for example ACBAA corresponds to the tournament where Alice won games 1, 4, and 5, Caroll won game 2, and Bob won game 3.

Required:
a. Provide a tree-based sequential description of a sample space where the outcomes are the possible tournament histories.
b. We are told that every possible tournament history that consists of k games has probability 1/2k, and that a tournament history consisting of an infinite number of games has zero prob- ability. Demonstrate that this assignment of probabilities defines a legitimate probability law.
c. Assuming the probability law from part (b) to be correct, find the probability that the tournament lasts no more than 5 games, and the probability for each of Alice, Bob, and Caroll winning the tournament.

Answers

Answer:

I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school

find x on the lines plz and thanks​

Answers

Answer:

x = 9

this is a ratio problem. You can see that 12/6 = 2, so you can also take 18/2 to get 9.

Answer:

the answer is 6

Step-by-step explanation:

Because 6 and x are corresponding angle so that means no matter what ( if u want the answer to how long the line is or what degree the angle is ) the answer is always going to be the same as the one above ( which is 6 )

Hop this helpssss

5 A machine puts tar on a road at the rate of 4 metres in 5 minutes.
a) How long does it take to cover 1 km of road
b) How many metres of road does it cover in 8 hours?​

Answers

Answer:

5 a) Total = 20.83 hrs = 20 hrs and 50 mins  (1250mins total)

5 b) Total = 96 meters. = 0.096km in 8 hrs.

Step-by-step explanation:

1km = 1000 meters

5 mins = 4 meters

1000/4 = 250 multiplier

250 x 5mins = 1250 minutes

1250/60 = 20hrs + 50 minutes

50 / 60 =  0.83 = 20.83hrs

b)  8 hrs = 8 x 60 = 480 minutes

480/5 = 24 multiplier of 4 meters

24 x 4 = 96 meters

What are the coordinates of the point (2,-4) under the dilation D-2?

A) (8,-4)
B) (4,-8)
C) (-8,4)
D) (-4,8)​

Answers

Answer:

D) (-4,8)

Step-by-step explanation:

Multiply both coordinates by -2

Answer:

(-4,8)

Step-by-step explanation:

I found a school pdf with the answer key to this exact equation and thats the answer

Solve for x step by step:

2(4x-3)-8=4+2x

Answers

Answer:

3

Step-by-step explanation:

2(4x-3)-8=4+2x

8x - 6 - 8 = 4 + 2x

8x - 2x = 4 + 6 + 8

6x = 18

x = 18/6

x = 3

Answer:

[tex]2(4x - 3) - 8 = 4 + 2x \\ 2 \times 4x + 2 \times - 3 - 8 = 4 + 2x \\ according \: to \: bodmas \: first \: \times then + or - \\ so \\ 8x - 6 - 8 = 4 + 2x \\ 8x - 14 = 4 + 2x \\ 8x - 2x = 4 + 14 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3 \\ thank \: you[/tex]

Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.

Answers

If we imagine an x-axis as the time and y-axis as the temperature. The change in y is -5 when the change in x is 20. This ratio then is -5/20, or -1/4 when simplified. Because it is a constant non changing slope, the model can be described as linear.

The PTA sells 100 tickets for a raffle and puts them in a bowl. They will randomly pull out a ticket for the first prize and then another ticket for the second prize. You have 10 tickets and your friend has 10 tickets. What is the probability that your friend wins the first prize and you win the second prize?

Answers

Jÿïôò śfrtÿ hjkÿï èrï

given the vector with a manitude of 9m at an angle a of -80 degrees, decompose this vector into two vector components oarallel to the x axis with a slope of

Answers

Answer:

We have the magnitude, M, and the angle A.

(The angle is always measured from the +x-axis)

Then we have that:

x = M*cos(A)

y = M*sin(A)

in this case:

M = 9m

A = -80°

x = 9m*cos(-80°) = 1.562

y = 9m*sin(-80) = -8.86m

Now, the component parallel to the x axis is:

x = 9m*cos(-80°) = 1.562 m

And the slope of something parallel to the x-axis is always zero, as this is a constant line.

A research center poll showed that % of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? 78 The probability that someone does not believe that it is morally wrong to not report all income on tax returns is . (Type an integer or a decimal.)

Answers

Question:

A research center poll showed that 78% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is . (Type an integer or a decimal.)

Answer:

[tex]q = 0.22[/tex]

Step-by-step explanation:

Given

Let p represent the given proportion

p = 78%

Required

Determine the probability that someone holds a contrary belief

Start by converting the given proportion to decimal

[tex]p = 78\%[/tex]

[tex]p = \frac{78}{100}[/tex]

[tex]p = 0.78[/tex]

In probability, the sum of opposite probability is equal to 1

Represent the probability that someone holds a contrary belief with q

So;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

Substitute 0.78 for p

[tex]q = 1 - 0.78[/tex]

[tex]q = 0.22[/tex]

Hence, the probability that someone does not believe is 0.22

Please help me I will mark brainliest! The ratio of the number of boys to the number of girls in a school is 3:4. One-third of the boys and three-eighths of the girls wear spectacles, If there are 612 pupils who do not wear spectacles, a)find the total number of the pupils in the school, and b) how many more girls than boys are there in the school

Answers

Answer:

a) 952

b) 136

Step-by-step explanation:

Ratio of b:g = 3:4, based on this we have:

Number of boys = 3xNumber of girls = 4xTotal number of pupils = 3x+4x = 7x

Number of spectacle wearers:

1/3*3x + 3/8*4x = x + 3/2x = 2.5x

Number of those not wearing spectacles:

7x - 2.5x= 4.5x

And this number equals to 612, then we can find the value of x:

4.5 x = 612x= 612/4.5x= 136

a) Total number of pupils:

7x = 7*136 = 952

b) The difference in the number of boys and girls:

4x-3x= x = 136

Answer:

total number of students: 952

number of girls more than boys :136 more girls

Step-by-step explanation:

1/3 of boys +3/8 girls= spectacles

612 people do not wear spectacles

3:4= boys: girls

total number of students

3+4=7

boys + girls = total ratio

7= total ratio

1/3×3=1 3/8×4=3/2

1+3/2=5/2

7-5/2=9/2 9/2=612 students

If 9/2=612 Then 7=?

7= 7÷ 9/2×612

=952 people

Girls more than boys

if 7= 952

3= 3/7 × 952=408 boys

if 7 = 952

4= 4/7 ×952=544girls

Girls - boys

544- 408 = 136 girls

A triangle has vertices at (-4,-6),(3,3),(7,2). Rounded to two decimal places, which of the following is closest aporoximation of the perimeter of the triangle

Answers

Answer:

Perimeter= 29.12 unit

Step-by-step explanation:

Perimeter of the triangle is the length of the three sides if the triangle summef up together

Let's calculate the length of each side.

For (-4,-6),(3,3)

Length= √((3+4)²+(3+6)²)

Length= √((7)²+(9)²)

Length= √(49+81)

Length= √130

Length= 11.40

For (-4,-6),(7,2)

Length= √((7+4)²+(2+6)²)

Length= √((11)²+(8)²)

Length= √(121+64)

Length= √185

Length= 13.60

For (3,3),(7,2)

Length=√( (7-3)²+(2-3)²)

Length= √((4)²+(-1)²)

Length= √(16+1)

Length= √17

Length= 4.12

Perimeter= 4.12+13.60+11.40

Perimeter= 29.12 unit

Picking a card and spinning a spinner are independent events.

True
False

Answers

Answer:

True

Step-by-step explanation:

Both happened in different times and are seprate events

3) Write the operation used to obtain the types of solutions.
Sum:
Difference:
Product:
Quotient:

Answers

Answer:

the Sum

hope this helps

Sum is the correct operation.

Can someone please help me with this math problem

Answers

We have [tex]f\left(f^{-1}(x)\right) = x[/tex] for inverse functions [tex]f(x)[/tex] and [tex]f^{-1}(x)[/tex]. Then if [tex]f(x) = 2x+5[/tex], we have

[tex]f\left(f^{-1}(x)\right) = 2f^{-1}(x) + 5 = x \implies f^{-1}(x) = \dfrac{x-5}2[/tex]

Then

[tex]f^{-1}(8) = \dfrac{8-5}2 = \boxed{\dfrac32}[/tex]

I need help ASAP please please please

Answers

Answer:

n=39/5

Step-by-step explanation:

24=5(n-3)

24=5n-15

-5n= -15-24

-5n=39

n= 39/5

where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50. (Round your answer to two decimal places.)

Answers

THIS IS THE COMPLETE QUESTION BELOW

The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.

Answer

$168.27

Step by step Explanation

Given p=90000/400+3x

With the limits of 40 to 50

Then we need the integral in the form below to find the average price

1/(g-d)∫ⁿₐf(x)dx

Where n= 40 and a= 50, then if we substitute p and the limits then we integrate

1/(50-40)∫⁵⁰₄₀(90000/400+3x)

1/10∫⁵⁰₄₀(90000/400+3x)

If we perform some factorization we have

90000/(10)(3)∫3dx/(400+3x)

3000[ln400+3x]₄₀⁵⁰

Then let substitute the upper and lower limits we have

3000[ln400+3(50)]-ln[400+3(40]

30000[ln550-ln520]

3000[6.3099×6.254]

3000[0.056]

=168.27

the average price p on the interval 40 ≤ x ≤ 50 is

=$168.27

What is the equation of the sinusoid?

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

if x=0 then sin(2*0)=sin(0)=0

if x= π/4 then sin(π/2)=1

if x= π/2 then sin(π)=0

The equation of the sinusoid will be y=Sin(2x)

What is an equation?

It is defined as the relation between two variables, for a sinusoidal wave the equation will be in the form of Sin or Cos.

if x=0 then sin(2*0)=sin(0)=0

if x= π/4 then sin(π/2)=1

if x= π/2 then sin(π)=0

Hence the equation of the sinusoid will be y=Sin(2x)

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there are 40 marbles in an urn: 14 are green and 26 are yellow. you reach into the urn and randomly select 4 marbles without replacement. what is the probability that at least one of the marbles is green

Answers

Answer:

p=0,83641536

Step-by-step explanation:

Let's calculate the probability that all 4 marbles are yellow:

p=26/40*25/39*24/38*23/37 ( no replacement)

=0,1635846372688....

probability that at least one of the marbles is green= 1-p

=0,83641536...

If why varies with the square of x and Y equals 24 when x equals 10 then the constant of proportionality is ____, and the value of y when x equals 20 is ____. Assume x is greater than or equal to 0. Select two answers

Answers

Answer:

Step-by-step explanation:

y varies with the square of x:

y = kx²

y equals 24 when x equals 10

24 = k·10²

constant of proportionality k = 0.24

when x = 20, y = 0.24·20² = 96

"select two answers"  —where are the choices?

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