The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?

Answer:

y = 8

x = 8√5

z = 4√5

Step-by-step explanation:

Using the formula (which is a geometric mean):

a        y

---- = -----

x        a

Where a is the altitude (y), x is a projection (16), and y is the other projection (4):

y        4

---- = -----

16       y

Cross multiply:

y² = 16 (4)

y² = 64

√y² = √64

y = 8

To find x and z, use the Pythagorean Theorem:

16² + y² = x²

256 + 8² = x²

256 + 64 = x²

320 = x²

√320 = √x²

√64√5 = √x²

8√5 = x

x = 8√5

4² + y² = z²

16 + 64 = z²

80 = z²

√80 = √z²

√16√5 = √z²

4√5 = z

z = 4√5

Answer: Is A

Step-by-step explanation:

I don't know if I am completely correct

Answer: Area=113.1 ft²

Step-by-step explanation:

Area equation= πr2

1/4*π*d^2

1/4*π*12^2≈113.09734ft²

113.1 ft²

Answer:

2 t

2 t

2 t

2 t

0.0825 9350 5000 1

2

9350 5000(1.04125)

1.87 1.04125

log(1.87) log(1.04125 )

log1.87 (2t)(log1.04125)

log1.87 2t

log1.04125

15.48512579 2t

t 7.7

Step-by-step explanation:

the answer is 7.7

there will be $9350 in the account after 7 years and 9 months.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.

Given, If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually.

To calculate time until there is $9350 in the account.

So,

From the general formula of Compound interest:

A = P(1 + r/n)^nt,

where P is the principal balance,

r is the interest rate,

n is the number of times interest is compounded annually,

and t is the number of years,

In our case,

A = 9350

p = 5000

r = 8.25

n = 2

Thus,

9350 = 5000(1 + 8.25/2%)^2*t

(1 + 8.25/2%)^2*t = 9350/5000

t = 7 years 9 months

Therefore, there will be $9350 in the account after 7 years and 9 months.

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Given:

The word is "CALCULATOR."​

To find:

The number of distinct permutations.

Solution:

In the word "CALCULATOR",

The number of letters = 10

In which, we have 2 C, A, L and 1 U, T, O, R.

We know that,

[tex]^nC_r=\dfrac{n!}{(n-r)!}[/tex]

[tex]^nC_n=\dfrac{n!}{(n-n)!}=n![/tex]

To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.

[tex]\text{Total ways}=\dfrac{^{10}C_{10}}{^2C_2\ ^2C_2\ ^2C_2\ ^1C_1\ ^1C_1\ ^1C_1\ ^1C_1}[/tex]

[tex]\text{Total ways}=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]

[tex]\text{Total ways}=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2\times 1\times 1\times 1\times 1}[/tex]

[tex]\text{Total ways}=453600[/tex]

Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.

Number of distinct permutation of the word "CALCULATOR." is 453600

How to solve this problem?

Total number of words in "CALCULATOR" is 10

we find out the words that are repeating

A is repeating twice (2)

C is repeating twice (2)

L is repeating twice (2)

Number of permutations = number of letters !/ repeating letters!

Number of distinct permutation =

[tex]\frac{10!}{2!2!2!} \\\frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot2\cdot2} \\453600[/tex]

Number of distinct permutation of the word "CALCULATOR." is 453600

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Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

Answer:

7

Step-by-step explanation: 14 - 7 7

Answer:

B

Step-by-step explanation:

= 8 * 76 =

10% * $1,913 = 191.3

Total = $608 + $191.3

= $799.3 approximately $799

Answer:

10 I think

Step-by-step explanation:

well we add it all together 2+1+3+4

Answer:

9

Step-by-step explanation:

Split up the shape into 2 seperate shapes (I did a trapezoid and)

Rectangle:

1*4 = 4

Trapezoid:

3 - 1 = 2 (for trapezoid's height)

4 - 2 = 2 (for trapezoid's shorter base)

(3 * [tex]\frac{1}{2}[/tex]) * (2 + 4) =

1.5 * 6 = 9

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Answer:

A

Step-by-step explanation:

(f*g)(x)=(2)*(x)=2x

A

Answer:

well the answer for the first one is -15

Answer:

The answer is D or Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle T"U"V" . I just took the test and I hope I helped : )

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

5.2 cubic ft

Step-by-step explanation:

took the test

The volume of given cone is 5.23 cubic feet.

Volume is the measure of the capacity that an object holds.

[tex]v = \frac{1}{3} \pi r^{2} h[/tex]

where,

v is the volume of cone

r is the radius of cone

h is the height of cone

According to the question we have

Diameter of cone is 2ft

⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]

Height of the cone is 5ft.

Therefore,

The volume of the cone  = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]

Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]

Hence, hence the volume of given cone is 5.23 cubic feet.

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Answer:

Its non-linear and decreasing

Step-by-step explanation:

Answer:

( -∞,2)

Step-by-step explanation:

The function is decreasing from the left up until the vertex

Answer:below hopes it helps the link should help aswell

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/%60frac%7B%2010%20%7B%20q%20%20%7D%5E%7B%205%20%20%7D%20%20%20%7B%20w%20%20%7D%5E%7B%207%20%20%7D%20%20%20%20%7D%7B%202%20%7B%20w%20%20%7D%5E%7B%203%20%20%7D%20%20%20%20%7D%20%20%20%60frac%7B%204%20%7B%20%60left(%20%7B%20q%20%20%7D%5E%7B%206%20%20%7D%20%20%20%60right)%20%7D%5E%7B%202%20%20%7D%20%20%20%20%7D%7B%20%20%7B%20w%20%20%7D%5E%7B%20-5%20%20%7D%20%20%20%20%7D

Answer:

24

Step-by-step explanation:

0+8*3

y=e^x+3.

The given graph of the function y = e^x

he transformation occur when we add c to the parent function y = e^x giving us a vertical shift c unit in the same direction as the sign.

The y axis of a coordinate plane is the vertical axis. When a function shifts vertically, the value of y changes.

The given parent function: y = e^x,

we can now graph the vertical shift alongside i.e, c=3

Then, the upward shift function is, y = e^x + c

Substitute the value of c=3,

then, the transformed equation becomes, y = e^x + 3

as it goes through (0,4).

∴The equation y = e^x + 3 represents the transformed function.

Answer:

y=e^x+3.

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

t = time for Bob and Nina to make 60 leashes

Bob = 7 in 2 hr  = 3.5 in 1 hr

Nina = 4 in 1 hr

3.5 + 4 = 7.5 leashes per hour

t = 60/7.5 = 8 hours

Answer:

42.42641

Step-by-step explanation:

Answer:

There are 3 W's in the M's

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

it means there are five books left, and the 36 boxes are filled

Answer:

x = 150

Step-by-step explanation:

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

The value of x is 150

A polygon is a closed figure made up of three or more line segments connected end to end.

We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree

Therefore, the sum of all the angles are;

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

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