Geoffrey measures the width of his bedroom to determine the largest size bed frame he can have. The wall he plans to place the bed frame against is 13.65 feet wide. He wants there to be 2.25 feet between the wall and the bed frame on each side. What is the maximum width bed frame, in inches, that Geoffrey can put in his bedroom?

Answer:

~21.23

Step-by-step explanation:

First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.

Hope this helps!

Give me brainliest too ;)

Answer: 21.23

Step-by-step explanation:

The formula for finding the area of  a circle is pi times  radius squared.

Answer:

3:4

Step-by-step explanation:

18inches : 2feet

18 inches: 2x12 =24 inches

18:24 - 3:4(divide by 6)

Answer: 578

Step-by-step explanation:

12 x 7 = 84

13 + 8 + 4 + 10 = 25

25 x 14 = 350

4 x 10 = 40

8 x 13 = 104

84 + 350 + 40 + 104 = 578

Answer: 3570$

Step-by-step explanation:

5 x 6 = 30

30 x 119 = 3570

Answer:

16

Step-by-step explanation:

You're doing a subtraction problem between (x+5) and (2x+3)

(x+5) - (2x+3) =

**You need to solve for x first then plug it in to find the answer.***

(I had to break the parentheses because that is the only way to solve)

-x +8

x= -8

-8 + 5 - (-16+3)

-3 + 16 + 3

13 + 3 = 16

Answer:

-x+2

Step-by-step explanation:

(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2

Answer:

The correct one is B)

Step-by-step explanation:

Dividing with the same base subtracts the power

Answer:

65%

Step-by-step explanation:

4 + 3 = 7

7/20 = 35/100

100 - 35 = 65

I may be wrong but yknow

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]

Answer:

105

Step-by-step explanation:

150-30%= 105

Have a wonderful day!

Answer:

The total is $105

Step-by-step explanation:

To get a percentage of a number first convert the percentage to a regular number with a decimal

30.0% would be 0.3 because you move the decimal two spots to the left

you then multiple your new number 0.3 with the original price to get 45

because it is a discount it means we will reduce the price or subtract from it

150 - 45 = 105

I hope this helps

Answer:

16/81

Step-by-step explanation:

(-2/3)^4

expand...

-2/3*-2/3*-2/3*-2/3

multiply

numerator: -2*-2*-2*-2=16

denominator: 3*3*3*3=81

Thus the fraction is 16/81

Hope this helps!!!

Problem 1 (on the left)

It appears we have an exponential function curve through the points (0,4) and (1,7)

The general exponential function is of the form

y = a*b^x

The value of 'a' is the y intercept or initial value. So a = 4

Plug in (x,y) = (1,7) to help solve for b

y = a*b^x

y = 4*b^x

7 = 4*b^1

7 = 4b

b = 7/4 = 1.75

Therefore, the function is y = 4*(1.75)^x

These two facts help confirm we have the correct exponential equation.

===========================================================

Problem 2 (on the right)

The steps will follow the same idea as the previous question.

The exponential curve goes through (-1, 120) and (0,40)

We have a = 40 this time due to the y intercept (0,40)

Plug in the coordinates of the other point to find b

y = a*b^x

y = 40*b^x

120 = 40*b^(-1)

120 = 40/b

120b = 40

b = 40/120

b = 1/3

The area of Square 4 is a2+2ab+b2

The area of Square 5 is 2ab+c2

Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.

Answer: D

Step-by-step explanation:

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation:

I got it right on Edge.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation it took the test

9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵

Answer:

[tex]9^-^1^5[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3}}{9^{12}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=9^{-3-12}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]

[tex]=9^{-15}[/tex]

Answer [tex]=9^{-15}[/tex]

~Learn with Lenvy~

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]

[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]

Answer:

the answer is 56

Step-by-step explanation:

first off you need to add every number up which adds to be 336,

then you divide by the number of pieces in the data which in this case is 6,

366 divided by 6 is 56

I HOPE THIS HELPED!

Answer:

The answer is 34

Step-by-step explanation:

Now,

Common Difference (d)

d = a₂ – a₁ = 304 – 310 = -6

d = a₃ – a₂ = 298 – 304 = -6

Here, common difference is same everywhere

So,

aₙ = a + (n – 1) × d

a₄₇ = 310 + (47 – 1) × (-6)

a₄₇ = 310 + 46 × (-6)

a₄₇ = 310 – 276

a₄₇ = 34

Thus, The 47th term of this sequence is 34.

The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

The given expression is:

[tex](1.466*10^{-8} )(5.02*10^5)[/tex]

We can rewrite the given expression as

[tex](1.466*5.02)(10^{-8} *10^5)[/tex]

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

[tex]a^m*a^n = a^{m+n}[/tex]

[tex]1.466*5.02=7.35932[/tex]

[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule

So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]

Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

To get more about exponents visit:

https://brainly.com/question/819893

Answer:

7.3593 and -3

Step-by-step explanation:

Got it right on the assignment.

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

Answer:

y = - (x - 3)² + 15

Step-by-step explanation:

using the method of completing the square

y = x² + 6x + 6 ← factor out - 1 from the first 2 terms

y = - (x² - 6x) + 6

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = - (x² + 2(- 3)x + 9 - 9) + 6

  = - (x - 3)² + 9 + 6

  = - (x - 3)² + 15

The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function

It will take 5 seconds for the coin to hit the ground

The function is given as:

[tex]y = -5t^2 + 125[/tex]

When the nickel hits the ground, the value of the function is:

y = 0

So, we have:

[tex]-5t^2 + 125 = 0[/tex]

Subtract 125 from both sides

[tex]-5t^2 =- 125[/tex]

Divide both sides by -5

[tex]t^2 =25[/tex]

Take the square root of both sides

[tex]t = 5[/tex]

Hence, it will take 5 seconds for the coin to hit the ground

Read more about quadratic functions at:

https://brainly.com/question/1214333

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Reflecting the archaeological dig implies that the dig is flipped

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

The coordinates of the rectangle are given as:

(5,2) , (5,9) , (10,9) , (10,2)

When reflected across the x and the y axes, the transformation rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new coordinates are:

(-5,-2),(-5,-9),(-10,-9),(-10,-2)

This means that:

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

Read more about reflection at:

https://brainly.com/question/4289712

Answer:

A.

One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.

d(x) = y = 5x

d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.

B.

Now if he ran 10 miles a day, just substitute 10 for x.

d(10) = y = 5(10) = 50

Answer:

I believe the answer is C.

[tex] \sqrt{35} [/tex]

Answer:

$464

Step-by-step explanation:

Answer:

A = 253 sq ft

Step-by-step explanation:

see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.