A rectangular one story house covers an area of 3,700 square feet. The ceilings are 8 feet high. What is the volume of the interior of the house?

Number Model:The surface area is 3700 square feet.
The house is 8 feet tall.
Simply, you just have to multiply 3700 * 8.




Answer: 29,600 Cubic Feet

B. The owners added a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet tall. What is the volume of the second floor?

Number Model:

Answer: Cubic Feet

C. What is the total volume of the interior of the house?

Number model:

Answer: Cubic Feet

Answer:

A)

Step-by-step explanation:

The answer is A) because when you do the math you have to flip 3/1 around so you get 1/3, and when you multiply 1/3 by 1/12 you get 1/36.   (I'm so stupid, i wrote in the comments at first)

Answer:   IT IS A

Step-by-step explanation:

Because 1/36×3=1/12, 1/12 by 3 is ​1/36​.   YOU x first than  divided

Answer:

34

Step-by-step explanation:

The area of a circle with a diameter of 5 feet is calculated using the formula A = πr². Halving the diameter to find the radius, then squaring it, multiplying by π (approximated as 3.14), and rounding to the nearest tenth, gives an area of 19.6 ft².

The student's question involves finding the area of a circle with a given diameter where the circle is the table's top designed by Cory. To find the area, one must use the formula A = πr², where A is the area, π (pi) represents the mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Since the diameter of the table is 5 feet, the radius will be half of that, which is 2.5 feet. Plugging this into the formula, we get A = π(2.5²) or A = π(6.25). Assuming π as 3.14, we approximate the area to 19.6 ft² after rounding to the nearest tenth.

Final answer:

To find the area of Cory's circular table with a 5-foot diameter, we calculate the radius as half the diameter (2.5 feet) and use the area formula A = πr² to get approximately 19.6 square feet when using 3.14 for pi.

Explanation:

The question asks us to find the area of a circular table that Cory designs, which seats 8 people and has a diameter of 5 feet. To calculate the area of a circle, we use the formula A = πr², where 'A' is the area, 'π' (pi) is a mathematical constant approximately equal to 3.14, and 'r' is the radius of the circle.

First, we need to find the radius, which is half of the diameter, hence the radius is 5 feet / 2 = 2.5 feet. Using the formula, the area in terms of pi is A = π(2.5 ft)². When we approximate π as 3.14, the area rounded to the nearest tenth in square feet is 3.14 * (2.5 ft)² = 19.625 ft², which can be rounded to 19.6 ft².

Answer:

I got 159.25. I hope this helps.

Answer:

The aswer is D

Step-by-step explanation:

Answer:

3/8 (D)

Step-by-step explanation:

15 11th grader's favorite class is science. There are a total of 40 11th graders. That makes the probability 15/40 = 3/8 = D

Answer:

The facility will be adequate for the task.

Step-by-step explanation:

You require space to service 65 vehicles at any one time and each vehicle requires 300 ft² of space. This means, the 65 vehicles will require space of:

65 * 300 = 19500 ft²

A facility measuring 165 ft. by 130 ft is being considered. The area of the facility is:

165 * 130 = 21450 ft²

Since the space of the facility is larger than the space needed for the 65 vehicles, the facility will be adequate for the task.

Answer:

yes!

Step-by-step explanation:

Answer:

Its 7

Step-by-step explanation: You simplify 5 log (x+3) by moving 5 inside the logarithm. log ((x+3)^5)=5. You graph each side of the equation. The solution is the x-value of the point of the intersection which results into x=7

Answer:

15 containers

Step-by-step explanation:

If the circus sells an average of 28,200 grams of peanuts you can expect that it would be close to that number again, it is equal to 28.2 kilograms. Since it only ships in 2 kilogram containers then you would want to buy 15 of them since 15*2=30, which is above what we need.

Answer:

15 I think

Step-by-step explanation:

Answer:

  C.  4.91%

Step-by-step explanation:

The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.

For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.

For nominal annual rate r compounded n times per year, the effective annual rate is ...

  r' = (1 +r/n)^n -1

For r = 0.048 and n = 12, this becomes ...

  r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%

__

Additional comment

After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.

The expression that represents the length of a side of the cube should be S= 3 times 3 times 3

Since The volume of a cube is 27 cubic inches.

Here we know that

The volume is the cube of the side is [tex]side^3[/tex]

So basically 3 sides should be multiplied to determine the volume.

Hence, we can conclude that The expression that represents the length of a side of the cube should be S= 3 times 3 times 3

Learn more about volume here: https://brainly.com/question/864985

Radius = 14/2 = 7 inches

Volume = [tex]\pi r^{2} h[/tex] = 3.14 x 7 x 7 x 6 = 923.16 = approx. 923.2 cubic inches

Answer:

D; D; B

Step-by-step explanation:

Question 1:

All of the outcomes are not equally likely because there is a lot of variation between the relative frequencies of the different landing positions.

As we can see from the data, the cup will most likely land sideways, then backwards, then upright. Since there is a lot of variation between the number of times this happens, we know this isn't just because of the random factor, but because there is a higher probability of it landing on its side. Additionally, the huge differences between the numbers tell us that the 3 outcomes are not equally likely. That removes option A and B. We know it isn't option C because the relative frequency of it landing sideways is not the lowest, but the highest. (Upwards: 9/60= 0.15= 15%, Upside down: 15/60= 0.25= 25%, Sideways: 36/60= 0.6= 60%) Therefore, option D is the correct answer.

Question 2:

Yes, it is a fair model because the relative frequencies of all the outcomes are similar.

We can look at the table, and understand the the relative frequencies of these outcomes will all be similar.

We can calculate it to make sure.

L: 10/40= 0.25= 25%

E: 11/40= 0.275= 27.5%

A: 9/40= 0.225= 22.5%

P: 10/40= 0.25= 25%

As you can see, the relative frequency of all these options is similar, indicating that this is a fair model.

Question 3:

Yes, it is a fair model because the relative frequencies of all the outcomes are similar.

Once again, when looking at the tables, we see that all outcomes occur a similar number of times, meaning that the model is most likely fair.

To make sure, we can calculate the relative frequencies.

Green: 12/50= 0.24= 24%

Pink: 9/50= 0.18= 18%

Yellow: 11/50= 0.22= 22%

Blue: 10/50= 0.2= 20%

Red: 8/50= 0.16= 16%

Although these frequencies aren't as similar as the previous model, I would still deem them similar enough for the model to be considered fair.

Answer:

14

Step-by-step explanation:

-2x^3 - 2x^2 - 4x-2

Let x = -2

-2 (-2)^3 - 2 (-2)^2 -4(-2) -2

Exponents first

-2 (-8) -2 (4) -4(-2) -2

Then multiply

16 -8 +8 -2

Then add and subtract

14

Answer:

[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]

Step-by-step explanation:

The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to [tex]\sin{A}[/tex], is [tex]21/29[/tex].

Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So [tex]\cos{A}=\sin{C}=20/29[/tex]. Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.

The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, [tex]\tan{A}=21/20[/tex]. So, our trig ratios for this angle are

[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]

Look at the attached picture

Hope it will be helpful to you.

Answer:

x = 109

Step-by-step explanation:

[tex](x + 12) \degree + 59 \degree = 180 \degree \\ (sum \: of \: exterior \: angles \: on \: same \: side \: \\ of \: transversal) \\ (x + 71) \degree = 180 \degree \\ x + 71 = 180 \\ x = 180 - 71 \\ \purple{ \bold{ x = 109}}[/tex]

Answer:

6

Step-by-step explanation:

₄C₂ means that we're trying to see how many ways we can pick 2 things out of a group of 4. We have 4 options for our first pick and 3 for our second, so that gives us a total of 4 · 3 = 12 ways of choosing.

Now, the "C" in ₄C₂ is short for "combinations." Order doesn't matter where combinations are concerned. Let's say the set we're choosing from is the set of the letters A, B, C, and D. Here are all the ways we can choose two different letters from that list:

AB, AC, AD, BA, BC, BD, CA, CB, CD, DA, DB, DC

Notice that, for each pair, we have another in the set that contains the same letters: AB and BA, AC and CA, BD and DB... If order doesn't matter, we can cut all of those second pairs, giving us 12 / 2  = 6 total combinations.

Answer:

yes because a rhombus and a rectangle are counted as a quadrilateral because they have 4 sides

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

denominator > numerator

Step-by-step explanation:

The degrees can be found in the "power" that they have.

The denominator has a degree of a power of 2 (3x²). The numerator has a degree of only 1 (5x). Therefore, by degrees, the denominator is greater than the numerator.

~

Answer:

none

Step-by-step explanation:

Answer:

we need the triangle to answer that...

Step-by-step explanation:

I'm sorry

The value of b in the given equation is 2.

An exponential function in mathematics can be defined as a mathematical function is in form f (x) = aˣ, where “x” is the variable and where “a” is known as a constant which is also known as the base of the function and it should always be greater than the value zero.

Given is graph, we need to determine the value of b in the y = bˣ,

Here as we can see, that the curve has a base at -2,

Therefore the equation of the graph will be y = 2⁻ˣ

Hence, the value of b in the given equation is 2.

Learn more about exponential function, click;

https://brainly.com/question/14355665

#SPJ5

Answer:

The vertices are 4 units to the left and right of the center.

The foci are units to the left and right of the center on the major axis.  

The directrices are vertical lines.

Step-by-step explanation:

The statements 2, 3 and 4 are correct. The ellipse graph shows that the foci are units to the left and vertices are 4 units to the left. The center os the ellipse is not at the origin (0,0) so the statement 1 is not correct. Ellipse is an oval shape with 2 other points known as foci. The foci of the ellipse are at left and right axis marked from the center.

Answer:

3 4 5

Step-by-step explanation:

Do you mean the square root? That is what I am going to answer here.

138.7401600114401 is the square root

I hope this helps.

Answer:

2 · 9,624.416

Step-by-step explanation:

19,248.832 ÷ 2 =

9,624.416

Answer:

[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]

And we can find this probability using the normal standard distribution, excel or a calculator and we got:

[tex] P(z<1) =0.8413[/tex]

And if we convert this into percent we got 84.13% rounded to the nearest percent would be:

84%

Step-by-step explanation:

Let X the random variable that represent the circumferences of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(29,0.1)[/tex]  

Where [tex]\mu=29[/tex] and [tex]\sigma=0.1[/tex]

We are interested on this probability

[tex]P(X<29.1)[/tex]

And the best way to solve this problem is using the normal standard distribution and the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]

And we can find this probability using the normal standard distribution, excel or a calculator and we got:

[tex] P(z<1) =0.8413[/tex]

And if we convert this into percent we got 84.13% rounded to the nearest percent would be:

84%

Answer:

solution given:

1st expression=27=3×3×3

2nd expression=45=5×3×3

here

common factor =3×3=9

a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².

b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).

I hope this helps!