a construction worker has a ladder against the side of a building. the building is 10 feet tall, and the ladder is 15 feet long. how far is the base of the ladder from the building

Answer:

D. 2144.6

Step-by-step explanation:

volume of a sphere is 4/3 * pi * r^3

we've been given the value of our radius as 8 and also the value for pi is 3.142 so in you solve using the formula you get 2144

[tex]\\ \rm\Rrightarrow V=4/3\pi r^3[/tex]

[tex]\\ \rm\Rrightarrow V=4/3\pi (8)^3[/tex]

[tex]\\ \rm\Rrightarrow V=4/3\pi 512[/tex]

[tex]\\ \rm\Rrightarrow V=170.6(4)\pi[/tex]

[tex]\\ \rm\Rrightarrow V=682.4cm^3[/tex]

Answer:

23.43 feet

Step-by-step explain

by my accurate accusations

Answer:

x^2y−7xy+10xy^2

Step-by-step explanation:

(the first y isn't up but I tried)

anyways, hope this helped! :)

Answer:

[tex]4x^2y-7xy+10xy^2[/tex]

Step-by-step explanation:

We have [tex]\left(6x^2y-8xy+7xy^2\right)+\left(3xy^2-2x^2y+xy\right)[/tex] and need to add them together.

Though complicated at first, we can simplify by taking out the parenthesis and making this whole question into one equation.

[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]

Now combine like terms, meaning you can only add the terms that have the same ending, in math, you cannot add numbers that have different exponents or variables.

Therefore:

[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]

[tex]6x^2y-2x^2y-8xy+xy+7xy^2+3xy^2[/tex]

[tex]4x^2y-7xy+10xy^2[/tex]

Answer:

A =50,35925926

=50,36

B=3,066645963

=3,07

C=16,69411765

=16,7

Hope this is what u looking for,

I will send a pic give me a minute

Answer: 0

Step-by-step explanation:

By substituting the f(x) = -x and g(x) = x into the first equation, we get -x = x so the only answer to the question is 0

Answer:

0

Step-by-step explanation:

Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.

Displacement = final point - initial point

(both are same)

= same - same

= 0

Answer:

32 : 8

8 : 2

4 : 1

Step-by-step explanation:

32 : 8

8 : 2 (32/4 = 8, 8/4 = 2)

4 : 1 (32/8 = 4, 8/8 = 1)

Hope this helps!

Answer:

53 i think

Step-by-step explanation:

1 is the answer

Step-by-step explanation:

Number of possible outcomes = 10

Total number of outcome = 10

Probability = [tex] \frac{Number \: of \: possible \: outcomes}{Total \: number \: of \: outcome}[/tex]

[tex] = > \frac{10}{10}[/tex]

[tex] = > 1[/tex]

Hence, the probability of finding number less than or equal to 10 is [tex]1[/tex]

Answer:

a.  median 1.5

Step-by-step explanation:

If you sort the numbers from least to greatest, the middle numbers are 1 and 2, so the median is the middle of those, 1.5. And the mean is 2.75, so it can't be the others.

Answer:

C

Step-by-step explanation:

(-4, 3) 3 units right = +3x = -1

(-1, 3) 2 units up = +2y = 5

(1, 5) A rotation of 90° counterclockwise around the origin can be described in mathematical terms as (x, y) → (−y, x).

(1, 5) → (-5, 1), or C

Answer:

B. (-5, -1)

Step-by-step explanation:

Since we're solving for A :

A (-4, 3) translated 3 units to the right and 2 units up would be A (-4 + 3, 3 + 2), which is A' (-1, 5). Then, we have to rotate it 90 degrees clockwise. This would be (-5, -1), as the formula states (x, y) -> (-y, x), which means the x stays the same but goes to the 'y' position, and the y sign changes and goes to the 'x' position.

So, it would be (-5, -1) :)

Step-by-step explanation:

equal because of the 8+7

Answer:

x \geq -6

Step-by-step explanation:

2x+4 \geq -8

    -4       -4

2x \geq -12

/2        /2

x \geq -6

Answer:

y = 55°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of the triangle , then

y + 45° = 100° ( subtract 45° from both sides )

y = 55°

Answer:  1/11

Step-by-step explanation:

The probability that the selected piece will be red velvet is equal to the amount of red velvet cake divided by the total amount of cake.

Therefore, it would be 3/(25+1+2+3+2)

= 3/33

= 1/11 when simplified

Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².

Given to us

Each rhombus will be 6 inches tall and 4 inches wide.

A.)

The area of each rhombus can be found using the formula,

[tex]Area = \dfrac{1}{2} \times d_1 \times d_2[/tex]

We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,

[tex]Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2[/tex]

Hence, the area of the single rhombus is 12 in².

We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,

11 feet = 132 in.

Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,

[tex]\dfrac{132}{4} =33[/tex]

Hence, the number of rhombi that will be needed is 33.

We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,

[tex]33 \times 12 = 396\ in^2[/tex]

Hence, the total amount of paper that will be needed to cover the wall is 396 in².

Learn more about Rhombus:

https://brainly.com/question/14462098

Answer:

3 rhombi are connected at a point, side by side. All sides are congruent.

Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.

How much paper does he need for each rhombus?

✔ 12

square inches

If his wall is 11 feet long, how much paper does he use?

✔ 396

square inches

Step-by-step explanation:

egd

Answer:

x = [tex]\frac{25}{4}[/tex] so the answer is B

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].

[tex]3.4x*\frac{1}{10^{15} } +8.1*x*10^{-14}[/tex]

2) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].

[tex]3.4x*\frac{1}{10^{15} } +8.1*x*\frac{1}{10^{14} }[/tex]

3) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]

[tex]\frac{3.4x*1}{10^{15} }+8.1*x*\frac{1}{10^{14} }[/tex]

4) Simplify [tex]3.4x*1[/tex] to [tex](3.4)x[/tex].

[tex]\frac{3.4x}{10^{15} } +8.1*x*\frac{1}{10^{14} } }[/tex]

5) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]

[tex]\frac{3.4x}{10^{15} } +\frac{8.1*x*1}{10^{14} }[/tex]

6) Simplify [tex]8.1*x*1[/tex] to [tex]8.1(x)[/tex].

[tex]\frac{3.4x}{10^{15} } *\frac{8.1*x}{10^{14} }[/tex]

Answer:

Step-by-step explanation:

The exact value for the expression √52 – √13 + √117 given in the question above is 4√13

a√b + c√b = (a + c)√b

With the above information in mind, we can simplify the express given in the question above.

√52 – √13 + √117

Recall

√52 = √(4 × 13) = 2√13

√117 = √(9 × 13) = 3√13

Thus

√52 – √13 + √117 = 2√13 – √13 + 3√13

√52 – √13 + √117 = (2 – 1 + 3)√13

√52 – √13 + √117 = 4√13

Learn more about surd:

https://brainly.com/question/24700530

Answer:

Yes, they're the same.

Step-by-step explanation:

-3-2c can be re-written as -1(2c+3) and -3 can be re-written as -1(3). So you can rewrite the fraction as -1(2c+3)/-1(3). The -1's go away and the new fraction is (2c+3)/3.

Answer:

the probability is 3/5

Step-by-step explanation:

you have the numbers 2, 4, 6

and the numbers 3, 5

the 1 doesn't count, the question says numbers greater than or equal to 2

so, the remaining numbers add up to 3/5

Answer:

Use the following formula:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Step-by-step explanation:

Use "change in y over change in x"

-> See attached for more

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

14

Step-by-step explanation:

8×7=56

4×?=?

?= 56÷4

?= 14

Answer:

Divide the numerator by the denominator.

Step-by-step explanation:

Answer:

slope: 2 as we see, with every increase in x, y increase twice the more.

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Slope = Rise / Run = 6 /3 = 2

Therefore, the slope of the line in the graph attached is 2

Answer/Step-by-step explanation:

5/8 is not close to 1 in this context. If you want to be accurate, don't estimate. Add the 2 numbers.

Brainliest?!

Answer:

21.15 hrs

Step-by-step explanation:

I divided 55 by 2.6 to get the 21.15.

Have a good day!

Answer:

r = 3.95 mm (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{volume of a cylinder} = \pi r^2h[/tex]

(where r = radius and h = height)

Given, volume = 686 mm² and height = 14 mm:

[tex]686=\pi r^2\times14[/tex]

[tex]\implies\pi r^2=686 \div14=49[/tex]

[tex]\implies r^2=49 \div \pi[/tex]

[tex]\implies r=\sqrt{49 \div \pi }=3.949327085...[/tex]

[tex]\implies r=3.95 \ \textsf{mm}[/tex]

The equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

[tex]n\log_b(M)=\log_b(M)^n[/tex]

Given information-

The logarithmic equation given in the problem is,

[tex]3\log_2(2x)=3[/tex]

Using the power rule of the logarithmic function,

[tex]\log_2(2x)^3=3[/tex]

Using the exponent rule of the logarithmic function the above equation can be written as,

[tex](2x)^3=3[/tex]

Solve it further,

[tex]8x^3=3\\x^3=1\\x=1[/tex]

Hence, the equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

its B on edge

Step-by-step explanation:

Answer:

7v+70

1v x 7=7v

10 x 7=70

Step-by-step explanation:

Sorry if wrong!

Answer:

the answer is

7v + 70