A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 the wall blue, how many square feet will be blue?

Question:- Find

[tex]\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}[/tex]

Answer:-

[tex]\left(\frac{5}{12}\right)^{4}\left(\frac{12}{15}\right)^{3}[/tex]

Taking power inside the bracket

[tex] \frac{5^{4} }{ {12}^{4} } \times \frac{ {12}^{3} }{ {15}^{3} } [/tex]

[tex] \frac{ {5}^{4} }{ {12}^{4 - 3} } \times \frac{1}{ {(5 \times 3)}^{3} } \\ \frac{ {5}^{4} }{12} \times \frac{1}{ {5}^{ 3 } \times {3}^{3} } \\ \frac{ {5}^{4 - 3} }{12 \times {3}^{3} } \\ \frac{5}{4 \times 3 \times {3}^{3} } \\ \frac{5}{4 \times {3}^{4} } = \frac{5}{4\times81 } \\ Answer-> \frac{5}{324} [/tex]

[tex]Power\:Form-> \frac{ 5 }{12 \times {3}^{3} } [/tex]

Answer:

C: 125

Step-by-step explanation:

First of all we can see that one angle is 55 degrees. Due to the fact it is on a straight line, we can assume to angle directly on the left of it, 6 is 180-55. Because a straight line is 180 degrees and we already have 55 degrees filling it. So if we do that, we can see that angle number 6 is 125 degrees. Which if we use the corresponding angles theroem, we get that angle number 1 is also 125 degrees. And because number 1 and x are corresponding angles, x is also 125 degrees. There are many ways to do it but I did this way the fastest. I challenge you to try to find another way to solve it.

Hope this helps!

Answer:

1 = x

Step-by-step explanation:

x+5/4 = 2x+1/2

We can use cross products to solve

2(x+5) = 4(2x+1)

Distribute

2x+10 = 8x+4

Subtract 2x from each side

2x+10-2x = 8x-2x+4

10 = 6x+4

Subtract 4 from each side

10-4 = 6x+4-4

6 = 6x

Divide by 6

6/6 = 6x/6

1 = x

Answer:

x≤−9

Step-by-step explanation:

x+5≤−4

Subtract 5 from each side

x+5-5≤−4-5

x≤−9

Answer:

Step-by-step explanation:

Reference angle = 27

height = 2

Sin(27) = opposite / hypotenuse

hypotenuse = opposite / sin(27)

opposite = 2

hypotenuse = 2 / sin(27)

hypotenuse = 4.405

The ramp has to be 4.41 feet long.

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

Answer:

B.

Use eye contact and speak clearly and deliberately.

Step-by-step explanation:

let me know if you have any questions

Answer:

b

Step-by-step explanation:

because

Answer:

Hello,

[tex]\begin{bmatrix}\dfrac{-1}{5} &0\\\dfrac{-1}{10}&\dfrac{1}{4}\end{bmatrix}[/tex]

Step-by-step explanation:

See jointed file

The inverse of the matrix A is

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]A = \left[\begin{array}{cc}-5&0\\-2&4\end{array}\right][/tex]

The matrix A is a square matrix and its determinant is not zero.

So the inverse exist.

The inverse of matrix A.

We will change the rows into columns and columns into rows.

So,

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

Thus,

The inverse of the matrix A is given above.

Learn more about matrix here:

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Circumference of circle = 2 π r

Now , Substuting the values

Circumference of circle = 2 × 3.14 × 35

Circumference of circle = 6.28 × 35

Circumference of circle = 219.8 inches

Nearest 10ᵗʰ of 219.8 is 220

Hence , the Circumference of circle is 220 Inches.

[tex] \overline{ \underline{ \boxed{ \frak{Given }}}}[/tex]

Find the circumference of a circle with a radius of 35 inches in terms of pie add to the nearest 10th of an inch

[tex] \overline{ \underline{ \boxed{ \frak{Solution}}}}[/tex]

Given that :

Formula for getting the circumference :

[tex] \star \: \underline{ \pink{\boxed{\frak{Circumference_{(Circle)} = 2πr}}}}[/tex]

Putting the values in the formula we get :

[tex] \twoheadrightarrow \frak{Circumference_{(Circle)} = 2 \times 3.14 \times 35 \: in}[/tex]

[tex]\twoheadrightarrow \frak{Circumference_{(Circle)} = 3.14 × 70 in }[/tex]

[tex] \twoheadrightarrow \frak{Circumference_{(Circle)} = 219.8 \: inches}[/tex]

Henceforth, the circumference is 219.8 inches

But we are given to convert it into the nearest 10th

As 8 > 5

The Circumference of the Circle will be 220 inches

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]

Answer:

3x-28 = 80

3x = 108

x = 36

Let me know if this helps!

Answer:

2/8 or 1/4 simplified

Step-by-step explanation:

If you count how many equal sections there are, you will see there are 8, and 2 or those 8 sections are red so that would easily give you your answer, 2/8.

And to simplify it divide both the top and the bottom by 2 and that gives you 1/4.

Hope the helps! :)

The probability of a red on this spinner would be 1/4.

Used the concept of probability that states,

The term probability refers to the likelihood of an event occurring. Probability means possibility.

Given that,

A spinner is shown in the image.

Since there are a total of 8 parts with different colors.

And, the number of red colors on this spinner is 2.

Hence, the probability of a red on this spinner would be,

P = 2 / 8

P = 1 / 4

Therefore, the probability is 1/4.

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Answer:

There are 3 numbers that are not whole numbers.

3/4, 3.7, and sqrt 3 are not whole numbers

Answer:

3

Step-by-step explanation:

There are only 3 that aren't whole numbers. The whole numbers are: 32, 1,265, 3000, and 1. The numbers that aren't whole are: 3/4, 3.7, and √3

Answer:

x >= -6

Step-by-step explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D

Answer:

g: -7/10 or -0.7

Step-by-step explanation:

[tex]6g+5=-2\left(1+2g\right)[/tex]

Apply the distributive law:-

[tex]-2\left(1+2g\right)[/tex]

[tex]=-2-4g[/tex]

[tex]6g+5=-2-4g[/tex]

Now, we´ll Subtract 5 from both sides :-

[tex]6g+5-5=-2-4g-5[/tex]

[tex]6g=-4g-7[/tex]

Add 4g to both sides :-

[tex]6g+4g=-4g-7+4g[/tex]

[tex]10g=-7[/tex]

Now, divide both sides by 10:-

[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]

[tex]g=-\frac{7}{10}[/tex]

OAmalOHopeO

Answer:

Histogram

Step-by-step explanation:

I hope it is helpful

Step-by-step explanation:

x will be raised to the power of 1 if there's no power associatiated to it. Thus, you will have to flip the numbers to turn it into exponential form

Answer:

-4x - 6

Step-by-step explanation:

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

=> 2x + 4 - x + -3x - 6 - 2x - 4

=> 2x - 2x - x - 3x + 4 - 6 - 4

=> -4x - 6

Answer:

1/8

Step-by-step explanation:

-5-(-4)/1-9

Answer:

-3

Step-by-step explanation:

for this function you have to replace -1 were there's x in the function h(x)=2x-1

h(-1)=2(-1)-1

=-2-1

=-3

hope this helps

Answer:

A = 94.985

Step-by-step explanation:

Formila for area of a circle is A = pi * radius²

Just plug in your numbers for: A = 3.14 * 5.5²

The radius is 5.5 because the diameter is 11

A = 94.985

Answer:

19 and 13

Step-by-step explanation:

Let x be the larger number and y the smaller , then

[tex]\frac{3x}{y}[/tex] = 4 + [tex]\frac{5}{y}[/tex] ( multiply through by y to clear the fractions )

3x = 4y + 5 ( subtract 4y from both sides )

3x - 4y = 5 → (1)

and

[tex]\frac{6y}{x}[/tex] = 4 + [tex]\frac{2}{x}[/tex] ( multiply through by x to clear the fractions )

6y = 4x + 2 ( subtract 4x from both sides )

- 4x + 6y = 2 → (2)

Multiplying (1) by 4 and (2) by 3 and adding will eliminate x

12x - 16y = 20 → (3)

- 12x + 18y = 6 → (4)

Add (3) and (4) term by term to eliminate x

0 + 2y = 26

2y = 26 ( divide both sides by 2 )

y = 13

Substitute y = 13 into (1) and solve for x

3x - 4(13) = 5

3x - 52 = 5 ( add 52 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

The 2 numbers are 19 and 13

Answer:

x = 20

Step-by-step explanation:

[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]

                                 [tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

Answer:

Step-by-step explanation:

Rounded to 1 sig fig, the number is 40; rounded to 2 sig fig's, the number is 41; rounded to 3, the number is 41.1

Answer: x + y = 150

Explanation

y - 65 = 110

y = 110 + 65 (Alternate Interior)

y = 175

y - 65 = 110

∠FGH = 70

70+55+x+45+110 = 360 (sum of angles of a quadilateral is 360)

x + 280 = 360

x = 360 - 280

x = 80

So

x + y = 70 + 80

= 150

Must click thanks and mark brainliest

Answer:

length=50m

width=35m

diagonal=?

using Pythagoras theorem

where c=diagonal,a=length(50m),b=width(35)

c² =a² + b²

c² =(50)² + (35)²

c² =2500+1225=3725

Taking square root on both sides

c=61m

Therefore the diagonal is 61m

Answer:

16 inches³

Step-by-step explanation:

Volume of prism = base area * height

Base is square, so area of base = side * side = 2 * 2 = 4 in²

Volume of prism = 4 * 4

Volume of prism = 16 in³

Answer: D is my guess.

Step-by-step explanation:

If you multiply those two number and subtract it by tanisha that probably is your answer if I'm  incorrect I'm sorry hopefully this helped