In △ABC, AB=4, BC=5, and CA=6. In △EFG, EF=400, FG=500, and GE=600. Is △ABC similar to △EFG? If so, what is the scale factor

Answer:

$47,682.78

Step-by-step explanation:

future value: F = $64,700

present value: P = x

annual interest rate: r = 2.18%

compounding periods per year: n = 365

[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]

[tex] 64,700 = P(1 + \dfrac{0.0218}{365})^{365 \times 14} [/tex]

[tex] 64,700 = P(1 + 0.0000597260274)^{5110} [/tex]

[tex] 64,700 = P(1.0000597260274)^{5110} [/tex]

[tex] 64,700 = P(1.356883989) [/tex]

[tex] P = 47,682.78 [/tex]

Answer: $47,682.78

Answer:

the answer is b i hope im right

Step-by-step explanation:

Answer:

I think b sorry if its wrong :(

Step-by-step explanation:

Answer:

D? i prob got it wrong

Step-by-step explanation:

Answer:

well thx for the answer

Step-by-step explanation:

Answer:

I don't know

Step-by-step explanation:

but I am I sure that I can you please give it a shot if the harbor though I will Unite it to the wind strength and I will Unite it to the next level up and I will

Answer:

A. 25m B. 32m

Step-by-step explanation:

The hypotenuse of a triangle must be longer than the other sides.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

(0,3)

Answer:

576.6

(look at the number by the 10th place and round)

The value of 576.558 after rounding to the nearest tenth-place value is

576.6.

Option A is the correct answer.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

576.558

The number in the tenth place is 5 bolded underscore.

576.558

Now,

The next value is 5 which is greater or equal to 5 so we will change the tenth place value 5 into 6.

If the next value was 4 or less we will keep the tenth place value 5 as 5.

Now,

The value of 576.558 after rounding to the nearest tenth-place value is

576.6.

Thus,

The value of 576.558 after rounding to the nearest tenth-place value is

576.6.

Option A is the correct answer.

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

Answer:

Step-by-step explanation:

center (-1, -2) , trough point ( 6, 4)

equation of the circle

r² = (x-h)²+(y-k)², where (h, k) are the coordinate of a circle so h=-1, k=-2

r² =(x+1)²+(y+2)², but (x, y ) are coordinates for any point on the circle so x=6 and y= 4

r² =(6+1)²+(4+2)²

r²= 7² +6²

r²= 85

so the equation is

(x+1)²+(y+2)²= 85

to find the points on the circle substitute in the equation x and y

(-10+1)²+(0+2)²= 85 ; 85=85 true

so the pint on the circle is (-10, 0)

Answer:

C.30

Step-by-step explanation:

total ratio=9

y=[tex]\frac{5}{9}[/tex]×54=30

Answer:

g(f(3)) = 49

Step-by-step explanation:

Evaluate f(3), then substitute the value obtained into g(x) , that is

f(3) = 2(3) + 1 = 6 + 1 = 7, then

g(7) = 7² = 49

Answer:

it's a linear problem

Step-by-step explanation:

0=1

1=2

2=3

3=4

4=5

5=6

6=7

7=8

8=9

9=10

Answer:

80

Step-by-step explanation:

80 is the answer since 16% of 500 is 80

Answer:

80 students

Step-by-step explanation:

Multiply: 500 times 16%(.16)

500 times .16=80

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!!!

Answer:

b

Step-by-step explanation:

a) The probability that Sam will be upgraded exactly 3 times in his next 20 flights is 19.01 %

b) The probability that Sam will be upgraded at most 4 times in his next 20 flights is 95.68 %

c) The probability that Sam’s first upgrade will occur on the third flight is 0.0729

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability of getting a coach-class ticket be p

The value of p = 0.10

a)

The probability that Sam will be upgraded exactly 3 times in his next 20 flights

The number of trials = 20

The probability of success p = 0.10

The probability of failure q = 1 - p

The probability of failure q = 0.90

x = 3

Substituting the values in the equation , we get

P ( 3 ) = [ 20! / ( 17 )! 3! ] ( 0.10 )³ ( 0.90 )¹⁷

P ( 3 ) = 0.1901

P ( 3 ) = 19.01 %

b)

The probability that Sam will be upgraded at most 4 times in his next 20 flights

The number of trials = 20

The probability of success p = 0.10

The probability of failure q = 1 - p

The probability of failure q = 0.90

x ≤ 4

Substituting the values in the equation , we get

P ( x ≤ 4 ) = [ 20! / ( 16 )! 4! ] ( 0.10 )⁴ ( 0.90 )¹⁶

P ( x ≤ 4 ) = 0.9568

P ( x ≤ 4 ) = 95.68 %

c)

The probability that Sam’s first upgrade will occur on the third flight

A = ( 0.9 ) ( 0.9 ) ( 0.9 ) ( 0.1 )

A = 0.0729

A = 7.29 %

Hence , the solution is calculated by binomial distribution

To learn more about binomial distribution click :

https://brainly.com/question/29350029

#SPJ2

Answer:

1.4

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

2x3(5)-1

(2x15)-1

30-1

29

Answer:

29

I hope this help happy friday

Answer:

B.

Step-by-step explanation:

It is the only one that has a slope of 4/5.

Hope it helps!

Answer: x= 47 (If that says 3x+2)(the picture is a little blurry)

Step-by-step explanation:

Linear pairs of angles sum to 180.

37+(3x+2) =180

Combine like terms

39+ 3x = 180

Subtract 39 from both sides

3x = 141

Divide both sides by 3

x= 47

Answer:

Wendell only has $12 in nickels and dimes

Let Wendell have x dimes

If Wendell has 3 times as many nickels as dimes, how many dimes does he have?

Number of nickels = 3x

dime 10 c

nickel 5c

10x+5*3x = 1200 ( $12=1200 c)

25x = 1200

x= 48 number of dimes

Answer:

-10p

Step-by-step explanation:

-4 - 6 = -10

-10

Step-by-step explanation:

combine like terms to create an equivalent

Answer:

x<-3

Step-by-step explanation:

First we multiply by 4. We will get: -16x-12>36

Then we add 12 to both sides. We'll get -16x>48

Then we divide by -16. 48 divided by -16 is -3.

x<-3.

Answer:

x<-3

Step-by-step explanation:

Hope this helps :)

4(-4x-3)>36

Divide

-4x-3>36/4

Simplify

-4x-3>9

add 3 to each side

-4x>9+3

Simplify

-4x>12

Divide

x<-12/4

Simplify

x<-3

Answer:

12°

Step-by-step explanation:

As we can see the triangles are congruent so

< F = < C ( being corresponding angles of congruent triangle)

< C = 29

Now

<A +<B + <C = 180° { being sum of angles of triangle }

5x + 1 + 90 + 29 = 180°

5x = 180° - 120°

5x = 60°

x = 12°

Answer:

90%

Step-by-step explanation:

Answer: Exact Form: 16/3

Decimal Form: 5.3333...

Mixed Number form: 51/3

Step-by-step explanation: Hope I helped

Answer:

5 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the image of the graph you determine if that's perpendicular.

Perpendicular definition - In elementary geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle. The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.