What is the length of the ladder?
The bottom of a ladder that is leaning against a building reaches 8 feet from the base of the
building. The top of the ladder reaches 15 feet up the side of the building. What is the length of
the ladder? Simplify if necessary.
275
Оа
Ob
17 Feet
289 Feet
23 Feet
Od

Answer:

D

Step-by-step explanation:

cause 2/3 of 6 is 4

and 1/2 of 4 is 2

Answer:

55

Step-by-step explanation:

Since angle Arc AC and angle X lies on the same same straight line,

[tex]angle \: arc \: ac \: + \: angle \: x \: = 180 \\ 125 + x = 180 \\ x = 180 - 125 \\ = 55[/tex]

Answer:

it is 245 because the degrees for circle is 360

Step-by-step explanation:

360-125=245

Answer:

{−2, 0, 4}

Step-by-step explanation:

[tex]\displaystyle 6x^3 - 12x^2 - 48x \\ 6x[x^2 - 2x - 8] \\ 6x[x + 2][x - 4] \\ \\ 0, 4, -2 = x[/tex]

I am joyous to assist you at any time.

The roots of the cubic polynomial 6x³ - 12x² - 48x  = 0 are  -2, 0 and 4.

The degree of a cubic polynomial is 3. Degree of a polynomial is the highest power of the variable in that polynomial. In cubic polynomial, the variable [x] has the highest power of 3 (x³).

Given is the following cubic polynomial -

6x³ - 12x² - 48x  = 0

In order to find the roots of this cubic equation, we will plot its graph. The number of y - intercepts [coordinates where the graph cuts the x axis] will give us the roots or zeroes of the polynomials. The degree of a cubic polynomial is [3], therefore the number of zeroes of this cubic polynomial will be 3. Refer to the graph attached, it can be seen that the graph cuts the x-axis at three points -

x = -2, 0, 4

Which are the roots of this cubic polynomial 6x³ - 12x² - 48x  = 0.

Therefore, the roots of the cubic polynomial 6x³ - 12x² - 48x  = 0 are  -2, 0 and 4.

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Answer:

D

Step-by-step explanation:

Answer:

A is the right answer of your question but....

I m little bit doubtful about that

V = 1/3 * pi r^2 h

V = 1/3 * pi * 5/2^2 * 6

V = 1/3 * pi * 25/4 *6

V = 2 * pi *25/4

V = 25/2 pi

Answer: (12.5*pi)in^3 or 39.27 in^3

Answser:

It's the first one

Step-by-step explanation:

Answer:

A. m(arc BC) = 16°

B. m(arc BAC) = 344°

Step-by-step explanation:

From the picture attached,

AB is the diameter of the circle.

Since, measure of an arc is always same as the central angle of arc.

Therefore, m(arc AC) = m(∠ADC) = 164°

m(arc AB) = 180°

m(arc BC) = 360° - m(arc AB) + m(arc AC)

                = 360° - (180° + 164°)

                = 360° - 344°

                = 16°

m(arc BAC) = m(arc AB) + m(arc AC)

                   = 180° + 164°

                   = 344°

Answer:

65

Step-by-step explanation:

<S = <t

x + 50 = 3x + 20

2x = 30, x = 15

. <t = <v

3x + 20 = 45 + 20 =  65

Answer:

b.  65 degrees.

Step-by-step explanation:

m < RST = m < STU (alternate angles), so

x + 50 = 3x + 20

50 - 20 = 3x - x

2x = 30

x = 15.

Now m < RVT = m < RST  ( opposite sides of a parallelogram are equal).

So m < RVT = x + 50 = 15 + 50 = 65.

Answer:

slope = -8/3   (-8 over 3)

Step-by-step explanation:

rise over run

rise is negative since the line is going down = -8

run = 3

Answer:

A) 255 meters; B) 172

Answer:

A: 145m

B: 172 m

Step-by-step explanation:

Answer:

Area = 9(7w -1) cm²

Step-by-step explanation:

Area of a triangle is given by the expression,

Area = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]

From the picture attached,

Base of the triangle = 18 cm

Height of the triangle = Vertical distance of the third vertex from the base joining other two vertices = (7w - 1)

Area = [tex]\frac{1}{2}(18)(7w-1)[/tex]

        = 9(7w - 1) square cm

Therefore, expression for the area of the given triangle will be,

Area = 9(7w -1) cm²

Answer:

b = 19

Step-by-step explanation:

To make it short and sweet, since one angle is 45 degrees and one angle is 90 degrees, the unknown angle is 45 degrees also. That makes it an isosceles triangle with both legs equal.

b = 19

Answer:

x=6

Step-by-step explanation:

-12x-14=-86

-12x+12=+14

-12x=-72

-12/-12x=-72/-12

x=6

Answer:

The shape of the cross-section is a square

Step-by-step explanation:

Given

[tex]r =2[/tex]

[tex]h = 4[/tex]

See attachment

Required

The shape of the cross-section

From the attachment, we can see that when the cylinder is cut vertically, the shape formed is a quadrilateral of equal opposite sides.

The dimension of the shape is: the height of the cylinder and the diameter of the base circle

From the given parameters, we have the radius and the height to be:

[tex]r =2[/tex]

[tex]h = 4[/tex]

The diameter (d) is:

[tex]d = 2 * r[/tex]

[tex]d = 2 * 2[/tex]

[tex]d = 4[/tex]

So, the dimension is:

[tex]h = 4[/tex] and [tex]d = 4[/tex]

Since the height and the diameter have the same lengths, then the shape is a square.

Answer:

add all of the angles together and set them equal to 360 and solve

Step-by-step explanation:

a parallelogram total inside angles are equal to 360 degrees

Answer:

hi:}

Step-by-step explanation:

15

Answer:

(6a-4)°=(2a+68)°

6a-2a=68+4

4a=72

a=72/4

a=18

Answer:

The answer is 18. (A)

Step-by-step explanation:

Let me know if this helps

Answer:

3

Step-by-step explanation:

The graph doesn’t go left to x = 3, so the answer is 3

Answer:

B

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

Answer:

0 is a value of a for 7/a to make irrational number.

Answer:

Step-by-step explanation:

Answer:

0?

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

Hola!! Can I please know what this is about??

Answer:

height:6

if the base is a square that means all the side lengths are equivalent so it would be 8 for side lengths, and the volume is 128. plug it in with the formula to get 6

The height of a pyramid is 8cm

Supposing that:

The length of the sides of the square base the pyramid has = b units

The height of the considered square based pyramid = h units,

Then, its volume is given by: [tex]V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3[/tex]

Given;

The volume of pyramid= 128cm3

Length of side of square base= 8cm

Now,

128=1/3 x 8x8xh

128= 64/3 xh

h= 128x3/64

h=8

Therefore, the height with the volume 128cm3 will be 8cm

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Answer:

[tex]\boxed {\boxed {\sf 250 \ people}}[/tex]

Step-by-step explanation:

Let's set up a proportion using the following setup.

[tex]\frac {buses}{people}=\frac {buses}{people}[/tex]

We know 30 buses can carry 1,500 people.

[tex]\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}[/tex]

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

[tex]\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}[/tex]

[tex]\frac {30 }{1500 }=\frac {5 }{x }[/tex]

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

[tex]30*x=1500*5\\30x=7500[/tex]

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

[tex]30x/30=7500\\x=250[/tex]

5 buses can carry 250 people.

Answer:

qqqqqqqqqq

Step-by-step explanation:

Answer:

In this question one has to look forward to the information's already given. Based on those given information's the answer to the question can be easily determined.

Principal amount = $4000

Time for which money is borrowed = 5 years

Rate of interest = 6%

Then

Amount of Interest = Principal * Rate * Time

                              = 4000 * 6% * 5

                              = 4000 * 6/100 * 5

                              = 40 * 30

                              = 1200 dollars

So the amount of interest that needs to be given is 1200 dollars. I hope the naswer and the procedure is clear enough for you to understand.

Answer:

the answer is option B.

[tex] \sqrt[3]{12} [/tex]