what is the value of side EC ?

What Is The Value Of Side EC ?

Answers

Answer 1

Answer:

EC = 28'

Step-by-step explanation:

Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.

By implication, we have:

EN/KA = EC/KR

EN = 96'

KA = 24'

EC = ?

KR = 7'

Thus:

96/24 = EC/7

Cross multiply

EC*24 = 7*96

EC*24 = 672

Divide both sides by 24

EC = 672/24

EC = 28'


Related Questions

Jack rolls a fair number cube and spins the spinner. What is the probability that jack will get a number less than 4 and lands on blue?​

Answers

Answer:

7.14%

Step-by-step explanation:

A fair number cube has 6 sides while a normal spinner has 7 different colors. In order to find the probability of Jack getting a number less than 4 and lands on blue, we need to find the probability of each individual event and multiply them together. Since the cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6. On the wheel there are 7 colors and only one is blue, therefore, the probability is 1/7. Now we multiply these fractions together.

[tex]\frac{3 * 1}{6 * 7} = \frac{3}{42}[/tex] or 0.0714 or 7.14%

Therefore, the probability of this event happening is 7.14%

The probability of this event is 7.14%.

What is the number of sides in a fair number cube?

A fair number cube has 6 sides.

While a normal spinner has 7 different colors.

In order to find the probability of Jack getting a number less than 4 and lands on blue,

we have to find the probability of each individual event and then multiply them together.

The cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6.

On the wheel there are 7 colors and only one is blue.

Therefore, the probabilitiy is 1/7.

Now we multiply these fractions together.

[tex]\frac{3\times 1}{6\times 7} =\frac{3}{42}= 0.0714[/tex]

[tex]\frac{ 0.0714 }{100}=7.14\%[/tex]

Therefore, the probability of this event is 7.14%.

To learn more about the probability visit:

https://brainly.com/question/24756209

A model of a building is made using a scale of 1 inch = 20 feet. What is the height of the actual building, in feet, if the height of the model is 10.5 inches?

Answers

Answer:

210.

Step-by-step explanation:

10.5 x 20 = 210

i hope that helps!!!

show me an example of fibonacci sequence

Answers

Answer:

See Below

Step-by-step explanation:

The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...

The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.

Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)

*Disclaimer: I do not own any of the images

a number is one more than twice another number. if the sum of the two numbers is -35, what are the two numbers

Answers

Answer:

(2x+1) +x = -35

3x= -36

x= -12

Step-by-step explanation:

The coordinates for three vertices of a rectangle are (0٫4)٫(8٫4) and (8٫1). What is the coordinates of the fourth vertex ? A : (1٫0) B : (8٫0) ٫ C : (0٫1) D : (0٫8)

Answers

Answer:

(0, 1):  Answer D

Step-by-step explanation:

The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1).  Note that the x-coordinates of two of these are both 8.  The remaining x-coordinate of the fourth vertex is 0.  Since the figure is a rectangle, there are two sets of parallel sides.  If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0.  This side is a vertical line segment.  The fourth and last vertex is at the intersection of x = 0 and y = 1;  (0, 1):  Answer D.

A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24. Find the car’s original value.

Answers

Given :

A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24.

To Find :

The car’s original value.

Solution :

Formula of car depreciation is :

[tex]A= P( 1- \dfrac{R}{100})^n\\\\42547.24 = P( 1 - \dfrac{2.8}{100})^8\\\\42547.24 = P\times 0.8\\\\P = \dfrac{42547.24}{0.8}\\\\P = \$53184.05[/tex]

Hence, this is the required solution.

Let f(x)=-4(2)^x. The graph of g(x)=f(x)+k is shown below. Identify the value of k.

Answers

Given:

The function is:

[tex]f(x)=-4(2)^x[/tex]

The graph of the function [tex]g(x)=f(x)+k[/tex] is given.

To find:

The value of k.

Solution:

We have,

[tex]f(x)=-4(2)^x[/tex]

[tex]g(x)=f(x)+k[/tex]

Using these two functions, we get

[tex]g(x)=-4(2)^x+k[/tex]

From the given graph it is clear that the graph of g(x) passes through the point (0,2). It means the point (0,2) satisfies the function g(x).

Substituting [tex]g(x)=2[/tex] and [tex]x=0[/tex] in the above function, we get

[tex]2=-4(2)^0+k[/tex]

[tex]2=-4(1)+k[/tex]

[tex]2=-4+k[/tex]

[tex]2+4=k[/tex]

[tex]6=k[/tex]

Therefore, the value of k is 6.

The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?

Answers

Answer:

1,264

Step-by-step explanation:

a = 1000(1.06)^4

a = 1,262.47696

1,264

The miles driven in a car going 65

Answers

Answer:

We need more info

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You have to add more context to your question.

Which graph shows how the Student distance from home changed over time

Answers

Answer:

there is no graph maybe post again

An elevator has a placard stating that the maximum capacity is 1610 lb---10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1610 divided by 10 = 161 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb.​ (Assume that weights of males are normally distributed with a mean of 165 Ib and a standard deviation of 35 lb). Does this elevator appear to be​ safe?
The probability the elevator is overloaded is:____.

Answers

Answer:

The probability is "0.6406", this elevator isn't appear to be​ safe

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu=165[/tex]

Standard deviation,

[tex]\sigma=35[/tex]

Number of male passengers,

[tex]n = 10[/tex]

Now,

⇒ [tex]z=\frac{161-165}{\frac{\sigma}{\sqrt{10} } }[/tex]

      [tex]=\frac{161-165}{\frac{35}{\sqrt{10} } }[/tex]

hence,

The probability will be:

= [tex]P(\bar {x}>161)[/tex]

= [tex]P(z > -0.3614)[/tex]

= [tex]0.6406[/tex]

Find the missing angle measurement.

Answers

Answer:

54°

Step-by-step explanation:

54°

Answer:

the missing angle is 54

Step-by-step explanation:

so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so

180-123=57

57+69(other angle)=126

all triangle angles add up to 180 so subtract the two other angles to get your result

180-126=54

54 is your anwser

PLS HELP EMERGENCY!!!

Answers

Answer:

[tex]P(t) = 29816591(1.025)^{t-5}[/tex]

Step-by-step explanation:

Equation:

The equation for the population of California, in t years after 1990, is given by:

[tex]P(t) = 29816591(1.025)^t[/tex]

In which 29816591 is the initial population, that is, the population in 1990.

From 1995:

First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.

So

[tex]P(5) = 29816591(1.025)^5 = 33734736[/tex]

So

Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So

[tex]P(t) = 29816591(1.025)^{t-5}[/tex]

Select the two expressions equivalent to 25 .

Answers

Answer: 2 primes 1 disinct

Step-by-step explanation:

5^2 = 25
Square root of 625 = 25

Handrail should be mounted 34 inches minimum and 38 inches maximum above ramps. Which inequality represents the required height?

Answers

Answer:

[tex]34 \leq x \leq 38[/tex]

Step-by-step explanation:

34 inches minimum

This means that x has to be at least 34, that is:

[tex]x \geq 34[/tex]

38 inches maximum

This means that x can be at most 38, that is:

[tex]x \leq 38[/tex]

Which inequality represents the required height?

The intersection of 34 minimum and 38 maximum is:

[tex]34 \leq x \leq 38[/tex]

How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:

Answers

Answer:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Step-by-step explanation:

Given

See comment for complete part of the question

Required

Make a stem and leaf plot

We have:

[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]

[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]

[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]

Categorize the dataset according to tens

[tex]47[/tex]

[tex]52, 57, 58, 58[/tex]

[tex]61, 66, 66, 68, 68[/tex]

[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]

[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]

[tex]90, 91, 91, 92, 93, 97[/tex]

So, the stem and leaf plot is:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

A total of 800 copies of a CD were sold. 60% were sold at 50% discount, 20% were sold at 30% discount and the remainder were sold at the full price of N8.95. What was the approximate total revenue in Naira?​

Answers

Answer:

4582.4

Step-by-step explanation:

The function f(x) = a^x + 4 will never cross the x-axis if a is positive. True or False?

Answers

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

What is function?

Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.

How to find x intercept?

We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.

when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.

[tex]a^{x}+4[/tex]=0

[tex]a^{x}[/tex]=-4

taking log both sides,

log [tex]a^{x}[/tex]=log(-4)

x log a=0.602059991+1.3437635i

x=(0.602059991+1.3437635i)/log a

when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.

Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

Leaarn more about function at https://brainly.com/question/10439235

#SPJ2

I need awnser asap im giving brainlist in this one

8/1 x 8

Answers

Answer:

64

hope this helps

have a good day :)

Step-by-step explanation:

64
Have a great day !

2. The more
there is in a waterproofing foundation coating, the better the performance.
O A. rubber
O B. foam
O C. asphalt
O D. fiberglass

Answers

would would say c if not d lol sorry if wrong

Please help me!! I will give you brainliest!

Answers

Answer:

volume = 7/8 cubic units

Step-by-step explanation:

[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]

anybody know the answer to this question? I’m kinda lost

Answers

Answer:

A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F

Step-by-step explanation:

A regression model is in the form :

y = mx + c

With m being the slope = rate of change

In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x

The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F

prove that: [tex]tan20+4sin20=\sqrt{3}[/tex]

Answers

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Lena buys candy that costs $6 per pound. She will buy less than 8 pounds of candy. What are the possible amounts she will spend on candy?
Use c for the amount (in dollars) Lena will spend on candy.
Write your answer as an inequality, solved for c.
What is the inequality for this?!
HELP!

Answers

Answer:

$42

Step-by-step explanation:

less than 8 is supposed to be 7 or less 6×7=$42

I will make you brainlist

Answers

Answer:

for what? do you need a question answered?

True or False: The first number in an integer subtraction problem tells you where to start on the board.

Answers

Answer:

i think false

Step-by-step explanation:

12 43 a а- 5 6 b + 8 7 Line a is parallel to line b, m 2 = 4x+44, and m 46 = 6x +36 . Find the value of x.​

Answers

Answer:

m=−57/92,x=−43/4

Step-by-step explanation:

HELP ME WITH THIS QUESTION PLEASE!!

Answers

Answer:

give me a heart first and then ill answer

Step-by-step explanation:

calculate the interest paid when 4920 is invested at 13% p.a simple interest for eight years​

Answers

Answer:

I'll setup the problem and you can do the calculations

Step-by-step explanation:

The formula for simple interest:

I = P*r*t

I = interest

P = principle or amount invested

r = interest rate per period (period is a year)

t = number of periods

P = 4920

r = .13

t = 8

if you have questions, send a comment

Required solution :

Here we have been provided with the principal , rate of interest and time period for which the sum of rupees is invested.

Principal (P) = Rs.4920Rate (r) = 13% Time (T) = 8 years

Now here we know that simple Interest is calculated by the formula,

[tex]\bf{\boxed{\bf{S.I.\: = \: \dfrac{P \times R \times T}{100}}}} \: \red\bigstar[/tex]

Here in this formula,

P is PrincipalR is rate of interestT is time

Putting there values in the formula,

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{4920 \times 13 \times 8}{100} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 8}{10} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times \cancel{8}}{ \cancel{10}} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 4}{ 5} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 52}{ 5} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{25584}{ 5} }[/tex]

[tex] \longrightarrow \: \sf{S.I. \: = \: \cancel\dfrac{25584}{ 5} }[/tex]

[tex] \longrightarrow \: \orange{\boxed{\bf{S.I. \: = \: 5116.8}}}[/tex]

[tex]\underline{\bf{Henceforth, \: interest \: paid \: is \: of \: Rs.5116.8}}[/tex]

Use the table, which shows the number of pounds of skim milk, y , consumed per
person in the United States in year x. Let x represent the number of years since
1980.

a. Use the model y = 2x + 23 to estimate the number of pounds
consumed in 1994. Is this linear interpolation or linear
extrapolation?

b. Use the model y = 2x + 23 to estimate the number of pounds consumed in
1999. Is this linear interpolation or linear extrapolation?
x y
1980 26.9
1985 27.4
1990 42.8
1992 46.2
1995 53.9
1996 55.7

Answers

Answer:

Step-by-step explanation:

the formula doesn't work for the answers shown,    

y = 2x +23 for 1980 should be 23  not 26.9

something is missing in your question

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