Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square feet of wallpaper did he start with?

Answer:

1695.6 cubic feet

Step-by-step explanation:

Given that,

The corn fills 25% of the height of the silo.

The diameter of silo, d = 12 feet

Radius, r = 6 feet

Height, h = 60 feet

The volume of the part of the silo that is filled with corn is given by :

[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]

So, the required volume is equal to 1695.6 cubic feet.

Answer:

x = 5.1

Step-by-step explanation.

Our first step is to find all the angles. If b = 91 degree and c is 38, a. has to be 51 because all triangles add up to 180 degree. Because we have both B and b, we can use sine law.

a/A     13/sin91      c/38

we can use b in this situation.

The legnth  of a is 10.1.

So,  x-5 would be 5.1

Answer:

Option C

Step-by-step explanation:

same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel

Answer:

306 square inches.

Step-by-step explanation:

All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).

6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.

Each face of one cube = 3*3 = 9 in^2.

Therefore the surface area =  9 * 34 = 306 in^2.

Answer:

52b

Step-by-step explanation:

She has 52 cards per deck, and b decks.

This means she has 52b cards.

How this works:

For 1 deck, she has 52 cards, or 52×1 cards.

For 2 decks, she has 104 cards, or 52×1 cards.

For 5 decks, she has 260 cards, or 52×5 cards.

For 10 decks, she has 520 cards, or 52×10 cards.

Therefore, for b decks, she has 52×b, or 52b cards.

**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!

3.10

Step-by-step explanation:

If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10

Answer:

56.25°

Step-by-step explanation:

cos x° = b/h = 15/27 = 5/9

x° = cos^(-1) (5/9) = 56.25°

Answer:

I think $3620.51

Step-by-step explanation:

If i did it right, the equation should be something like this?

13,000(.88)^10

Answer:

Step-by-step explanation:

According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.

Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so

x = 140°

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Answer:

diagonal, congruent triangles

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Since triangle ABC ~ DEF

Angle A = Angle D

Angle A = 54

Answer:

x = 9 or x = -9

Step-by-step explanation:

The parameters of the given points are;

The location of the point T = (0, 7)

The location of the point U = (x, -5)

Then distance between points T and U = 15 units

The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;

[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, for the given points, T(0, 7) and U(x, -5), we get;

[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]

Squaring both sides, gives;

[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]

∴ x² = 15² - (-12)² = 81 = 9²

x² = 9²

∴ x = ±√(9²) = ± 9

The possible values of x are x = 9 or x = -9

Answer:

f(x)= x2 -4

Step-by-step explanation:

it is because it has no complex roots

Answer:

the anwser is d

Step-by-step explanation:

Here we are given that C is between A and B.

So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC

Hope that helps

Answer:

AC Or CA

Step-by-step explanation:

So, this is what a b and c would look like on a number line:

A----C----B

However, we dont know exactly what these variables are. THey could be somerthing like this:

A------------------C-B

But this doesnt matter.

If we look at the first numberline, A and C make up the first half of the numberline.

C to B make up the later half.

AB is the total numberline.

SO tecnically, A to C+ C to B = AB

Or:

AC + CB = AB

This can also be seen in the second numberline.

A to C make up almost all of the numberline.

C to B make up a smll amount.

But in the end, AC + CB will still make AB.

Hope this helps you! :D

Answer:

y = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

4 = 2² and 8 = 2³ , then

[tex]4^{y}[/tex] = 8, can be written

[tex](2^2)^{y}[/tex] = 2³

[tex]2^{2y}[/tex] = 2³

Since bases on both sides are equal, both 2, then equate exponents

2y = 3 ( divide both sides by 2 )

y = [tex]\frac{3}{2}[/tex]

y = 1.5

Step-by-step explanation:

[tex] {4}^{y} = 8[/tex]

Take the logarithm of both sides and you will get

[tex] \log {4}^{y} = y \log4 = \log8[/tex]

or

[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]

We can't see what you are talking about. send another one.

Answer:

3x

Step-by-step explanation:

You multiply the pervious number with 3 to get the next number

For example 2 times 3 = 6

6 times 3 = 18

18 times 3 =54

54 times 3= 162

So on and so forth

Answer:

ANSWER IS B

Step-by-step explanation:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4/2

x = 2

Answer:

B. 2

Step-by-step explanation:

The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:

5(2) - 3 = 3(2) + 1

10 - 3 = 6 + 1

7 = 7

So x is 2

Answer:

Ten thousands

Step-by-step explanation:

Replace all other digits with zero

This gives 40,000

Ten thousand (10,000) has the same amount of digits

Answer:

x = 23

Step-by-step explanation:

Sum of 25 and x = 48

25 + x = 48

Subtract 25 from both sides

25 - 25 cancels out

48 - 25 = 23

We would be left with x = 23

Answer:

[tex]x =23[/tex]

Step-by-step explanation:

Sum of 25 and x

[tex]25 + x[/tex]

Sum of 25 and x is 48

[tex]25 + x = 48[/tex]

Now lets simply Solve the equation

[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]

Hope this helps you.

Have a nice day!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²

                      = x(x  - 3y) - 2y(x - 3y)

                      = (x - 3y)(x -2y)

x² - 4xy + 3y² = x² -xy - 3xy + 3y²

                      = x(x - y) - 3y(x - y)

                      = (x - y)(x - 3y)

x² - 3xy + 2y² = x² - xy - 2xy + 2y²

                      = x(x - y) - 2y(x - y)

                     = (x - y)(x - 2y)

Least common denominator = (x-y)(x - 2y)(x - 3y)

[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]

Answer:

Here you go!

Hope this helps!

Answer:

Slope of line B: 1/3

Step-by-step explanation:

To find a slope perpendicular to another slope, you take its negative reciprocal.

Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3

Answer:

-0.4

fraction form: -4/10 or -2/5

Answer:

6

Step-by-step explanation:

The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.

But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.

Answer:

90 students.

Step-by-step explanation:

279-9=270, and 270 divided by 9 is 90.

Answer:

12x+12

Step-by-step explanation:

Multiply 3 to everything in the parenthesis

so it becomes

18+12x-15

=12x+12

Answer:

×=50,×+09+673-23

×=(33)+(2×)

Answer:

[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]