A 15-foot ladder leans against the side of a house with its base 4 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.

Answer:

V = π r 2h

Step-by-step explanation:

The solution is, the volume of the cylinder in cubic centimeters

V = π(3.5)2h.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

The volume of a cylinder is given by the equation:

V = π(R)^^2*h

where π = 3.14, R is the radius and h is the height.

If in the image we see that the radius is 7, then the correct option is D.

If in the image we shee that the DIAMETER is 7 (a linear that goes from end to end of the circle and goes trough the middle) then we know that the radius is half of the diameter, 7/2 = 3.5

in this case he correct option is C.

Hence, The solution is, the volume of the cylinder in cubic centimeters

V = π(3.5)2h.

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complete question:

A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?

A) V = π(3.5h)2

B) V = π(7h)2

C) V = π(3.5)2h

D) V = π(7)2h

Answer:

q = 9

Step-by-step explanation:

the key thing to understand in this problem is the distributive property. which basically means we can muliply what's on the interior of the parenthestes ( in this case q-5) by what's on the outside (4).

so 4 will distrubute to both the q and the -5

4q - 20 = 16

add 20 to both sides

4q = 36

divide both sides by 4

q = 9

Answer:

The answer is A.

Step-by-step explanation:

If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).

Answer:

2,7   2,3   3/4

Step-by-step explanation:

2,7 = 0.29  2,3 = 0.67  3/4 = 0.75

Answer:

C. √18, √7, 5

Step-by-step explanation:

_____________

Answer:

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

The equivalent angle on the third quadrant is 214º.

The equivalent angle on the fourth quadrant is 316º.

Step-by-step explanation:

On the first quadrant:

The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.

In this question, the reference angle is 146º, which is on the second quadrant.

So, on the first quadrant:

146 = 180 - a -> a = 180 - 146 = 44.

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

Third quadrant:

The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So

2*180 - 146 = 360 - 146 = 214º.

The equivalent angle on the third quadrant is 214º.

Fourth quadrant:

The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So

360 - 44 = 316º

The equivalent angle on the fourth quadrant is 316º.

Answer:

i think is the answer is

sin(A+B)

Answer:

Numerator:

Divide by cos A cos B:

Denominator:

Divide by cos A cos B:

Connect all bits together to get:

Answer:

D.five more than the quotient of 6 and a number,

Step-by-step explanation:

To evaluate the the phrase written as :

6/r+5

Here, there is no bracket to make any distinction, hence using the BODMAS mode of evaluation, we deal with the division first before the sum. Hence we interpr te the equation as :

6 / r = quotient ; then, 5 is added to the quotient obtained from the divison of 6 by r.

Answer:

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Step-by-step explanation:

Requirement : 12 Ibs gold and 18 Ibs silver  to pay monthly rent

Mine 1 ; 2 Ibs of gold , 2Ibs of silver.

Mine 2; 1 Ib of gold , 3 Ibs of silver

using LP

Gold :  aX1  + bX2 ≥  12   ---------- ( 1 )

Silver:  cX1  + dX2 ≥  18  --------- ( 2 )

where; X1 = days spent in Mine 1

            X2 = days spent in Mine 2

Total days spent in mines : X1 + X2 =

a = Gold found in mine 1  = 2

b = Gold found in mine 2 = 1

c = silver found in mine 1 = 2

d = silver found in mine 2  = 3

Back to equations 1 and 2

2X1 +  X2   ≥  12 ----------- ( 3 )

2X1 + 3X2  ≥  18  ------------ ( 4 )

solving equations 3 and 4

= 0 +  2X2 ≥ 6  ∴ X2 ≥ 3 days  ( days spent in mine 2 )

Input value into ( 3)

2X1 ≥ 12 - 3 = 9

∴ X1 ≥ 4.5 days ( days spent in mine 1 )

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Answer:

17.89 ft if I'm correct.....

Answer:

Step-by-step explanation:

Area is the product of two dimensions.

If the scale factor is k, the ratio of areas is k².

20% down means 0.8 times:

Now the width of the image is:

Correct choice is D

Answer: 48

Step-by-step explanation: you will have to multiply

Answer:

He earned $159

Step-by-step explanation:

7.95 Times 20

Answer:

$159

Step-by-step explanation:

[tex]\frac{1}{20} :\frac{7.95}{y}[/tex]

Cross multiply.

y · 1 = 7.95 · 20

Simplify.

y = 159

Answer:

the value of x is 90 Your answer

Step-by-step explanation:

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

Answer:

13

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

if 5 were eaten, that's 5/13, and there's 8/13 left. 5 out of thirteen total were eaten and 8 out of thirteen total were left.

Answer:

[tex]36^\circ[/tex]

Step-by-step explanation:

If you add the measures of the two marked angles, you get [tex]180^\circ[/tex].  The two angles form what some call a linear pair.

Set up and solve an equation.

4x + x = 180

5x = 180

x = 180 / 5

x = 36 degrees

Answer:

Step-by-step explanation:

The coordinates for point A is (8,120)

Answer:

This type of graph is B a stem graph

Answer:

B. Stem-and-leaf plot.

Step-by-step explanation:

A stem and leaf plot will typically have numbers on the left and right side, with a line separating the numbers. This graph is an example of a stem-and-leaf plot.

A line plot (example shown).

A bar graph (example shown).

A pictograph (example shown).

Answer:a

Step-by-step explanation:a

Answer:

the third one

Step-by-step explanation:

2 1/2

Answer:

(u – t)(u² - 12) is equal to 0.5.

Step-by-step explanation:

First let's find u and t:

Given u + t = 5, and u - t = 2

We'll substitute one of those into the other equation.

Let's solve the second one for u:

u - t = 2

u = 2 + t

Now we can substitute that definition into the first equation:

u + t = 5

(2 + t) + t = 5

2 + 2t = 5

2t = 3

t = 1.5

Now we can substitute that into either of the original equations to find u:

u = 2 + t

u = 2 + 1.5

u = 3.5

So t = 1.5 and u = 3.5. Now we can substitute them into the given expression to solve it:

(u – t)(u² - 12)

= (3.5 – 1.5)(3.5² - 12)

= (3.5 – 1.5)(12.25 - 12)

= 2 × 0.25

= 0.5

Answer:

0.5

Step-by-step explanation:

You know that u-t is 2, so it'll be 2([tex]u^{2}[/tex] -12)

Now, system of equations to solve for u.  if u+t=5, this means t=5-u, you can plug it in into u-t=2, so u-(5-u)=2. Now you know that u is 3.5, so do the calculations.

Answer:

b) (391.52, 404.48)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 39 - 1 = 38

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.

The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.

The CI is (391.52, 404.58), and the correct answer is given by option B.

Answer:

Choice D

Step-by-step explanation:

QS ≈ TR

they have same direction, sense and magnitude

Answer:

B. QR ≅ TS

Step-by-step explanation:

Angle TR shows us that it is a right angle. Flip it to the other side as the inverse and we get the angle QR.

Answer:

2 squads of five can be picked from 10 basketball players

Step-by-step explanation:

To solve this problem you have to divide 10 ÷ 2 which equals to 5.

Answer:

56 units

Step-by-step explanation:

add each side, you can get the hypotenuse using the formula a^2+b^2=c^2

Answer:

60 units

Step-by-step explanation:

Its a 5 × 3 × 4 cube

To find volume multiply the dimensions and you will get 60

Answer:

60 units

Step-by-step explanation:

I did the test.

Answer:

a) The null hypothesis is [tex]H_0: \mu = 310[/tex] and the alternative hypothesis is [tex]H_1: \mu < 310[/tex].

b) The test statistic is [tex]t = -1.54[/tex]. The critical value is [tex]t_c = -2.473[/tex].

c) The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.

Step-by-step explanation:

Question a:

Costco is interested in finding out whether the mean transaction time is less than 310 seconds.

At the null hypothesis, we test if the mean is of 310 seconds, that is:

[tex]H_0: \mu = 310[/tex]

At the alternative hypothesis, we test if the mean is of less than 310 seconds, that is:

[tex]H_1: \mu < 310[/tex]

b) Find the test statistic and the critical value at 1% significance level.

Test if the mean is less than a value, sample of 28, and standard deviation for the sample. Thus, we have a left-tailed t-test with 28 - 1 = 27 degrees of freedom and a 0.01 significance level, and the critical value is [tex]t_c = -2.473[/tex].

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation pf the sample and n is the size of the sample.

310 is tested at the null hypothesis:

This means that [tex]\mu = 310[/tex].

A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds.

This means that [tex]n = 28, X = 296, s = 48[/tex].

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{296 - 310}{\frac{48}{\sqrt{28}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is [tex]t = -1.54[/tex].

c) At 1% level of significance, what is your conclusion

The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.

If the triangles are similar, then the angles are all congruent.

Therefore, we can start by setting the two middle angles equal to each other.

4x + 7 = 5x - 10

7 = x - 10

x = 17

Middle angle = 75

Now that we know our x-value, we can simply plug in x for our other two expressions.

3 * 17 = 51

4(17) - 14 = 54

We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.

54 + 51 + 75 = 180

180 = 180

Hope this helps!! :)

Answer:

54, 51, 75

Step-by-step explanation:

4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.

After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.

The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.

Your final lengths are 75,51,54.

Answer:

225,000 revolutions

Step-by-step explanation:

An air conditioning fan makes 125 revolutions per second

The number of revolution in 30 minutes can be calculated as follows

60 secs= 1 min

x= 30 min

= 30×60

= 1800 secs

1800×125

= 225,000

Hence the airconditioning makes 225,000 revolutions in 30 minutes