What is the name of the polygon if the sum of the measures of its interior angles is 1080°?

1 * 26 * 26 * 26 * 26 * 26 * 1

If the ratio of surface area is 9/16, then the ratio of linear dimensions is sqrt(9/16)=3/4, and the ratio of the volumes is (3/4)^3=27/64.

Therefore the total volume = (1+27/64)*volume of the larger pyramid

= (91/64)*volume of the larger pyramid.

Answer:

B.

Step-by-step explanation:

Answer:

B. 1.43 × 10‐¹⁰ g

hope this helps

Answer: [tex]Volume = 972\pi units^{3}[/tex]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.

[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]

Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.

[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]

Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]

[tex]Volume = (4) (243units^{3}) (\pi)[/tex]

[tex]Volume = 972\pi units^{3}[/tex]

Answer: Approximately 21.98cm larger.

Step-by-step explanation: The area of a circle is A = π·r², where r is the radius of the circle.

Kyle's circle has a diameter of 8cm, which means it has a radius of 4cm.

Calculating the area, it is:

A1 = 3.14.4² = 50.24

Paige's circle has a radius of 3cm, so the area will be:

A2 = 3.14·3² = 28.26

To see how much larger:

50.24 - 28.26 = 21.98cm

So Kyle's circle is 21.98 cm larger.

Final answer:

The corresponding point for the function f(x+2), given that the point (5,-8) is on the graph of f(x), is (3, -8) due to the horizontal shift of 2 units to the right.

Explanation:

If the point (5,-8) is on the graph of f(x), and we want to find the corresponding point for the function f(x+2), this means that we are dealing with a horizontal shift of the original graph of f(x). The point (5,-8) indicates that when x is 5, the value of f(x) is -8. To find the corresponding point on f(x+2), we need to subtract 2 from the x-coordinate of the original point because the graph of f(x+2) will be shifted 2 units to the right.

Therefore, the corresponding point on the graph of f(x+2) would be (5 - 2, -8), which simplifies to (3, -8).

Answer:

2x^5+11x^3−5x^2

Step-by-step explanation:

Math Papa

A histogram is right skewed if the tail extends to the right, with most data clustering on the left, and the mode, median, and mean increase in that order. This indicates that the higher values are more spread out.

To determine if a histogram is right skewed, observe where the majority of the data points lie and the direction in which the tail extends. A right-skewed histogram, also known as a positively skewed histogram, will have a tail that extends to the right. In other words, the greater values are more spread out, and the bulk of the data clusters to the left, with fewer, higher-value outliers pulling the mean to the right.

The characteristics of a right-skewed distribution often include a mode that is less than the median, which in turn is less than the mean. Therefore, by calculating these three statistics, you can gain insights into the skewness of the data. Graphically, if the left side of the graph appears more compact and the right side looks stretched or 'pulled out', then the data are skewed to the right.

For example, if you have a dataset with the values 6, 7, 7, 7, 7, 8, 8, 8, 9, 10, you'll likely find that the mode is 7, while the median and mean are greater than 7, pointing towards a right-skewed distribution.

Hi there i hope this will help

n + d + q = 23 . . . . . . . there are 23 coins total

 0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters

 5n +10d +25q = 250 . .the total value is $2.50

The collection includes 11 nickels, 7 dimes, and 5 quarters.

I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.

 (5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)

 25q = 125 . . . . . . . simplify

 q = 5

From the second equation,

 d = q +2 = 7

And from the first,

 n = 23 -5 -7 = 11

To find the amount of fencing needed, we calculate the perimeter of the yard. The formula is 2*(length + width), equating to 2*(120 feet + 80 feet), which equals 400 feet.

The area needed to be fenced is the perimeter of the rectangular yard. We can find the perimeter of a rectangle by using the formula: Perimeter = 2*(length + width). In this case, the length of the yard is 120 feet and the width is 80 feet. So, the perimeter of the yard would be: Perimeter = 2*(120 feet + 80 feet) = 2*200 feet = 400 feet. Therefore, Mr. Calloway will need 400 feet of fencing to surround his yard.

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Answer:

There are 24 ways to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are 3000 ways to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is 3000/3024

Step-by-step explanation:

In short, C, B, C

Got it correct on edge, have a nice day:)

The probability of a 4-digit lock code without all even digits is 0.9934 or 99.34%.

Since zero is not allowed as a digit, there are only 4 even digits available: 2, 4, 6, and 8.

Now, the number of lock codes with all even digits:

For the first digit, there are 4 even digits to choose from (2, 4, 6, 8).

For the second digit, there are 3 even digits left to choose from.

For the third digit, there are 2 even digits left to choose from.

For the fourth digit, there is 1 even digit left to choose from.

So, the total number of lock codes with all even digits

= 4 × 3 × 2 × 1

= 24.

Now, Number of lock codes without all even digits

= Total number of lock codes - Number of lock codes with all even digits

= 3,024 - 24

= 3,000

Now, the probability:

= Number of lock codes without all even digits / Total number of lock codes

= 3,000 / 3,024

= 0.9934

So, the probability is 0.9934 or 99.34%.

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Final answer:

By setting up a system of equations using the perimeter formula and the relationship between the rectangle's length and width, we determine that the width of the rectangle is 9 cm and the length is 22 cm.

Explanation:

To solve the problem, we must set up a system of equations based on the information provided about the perimeter and the given ratio between the length and width of the rectangle. The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. According to the problem, the perimeter is 62 cm, and the length l is equal to 4 more than twice the width, which we can write as l = 2w + 4.

Using these two equations, we can create the following system to solve for the dimensions of the rectangle:

Substitute the second equation into the first to get:

Now substitute w back into the second equation:

Thus, the dimensions of the rectangle are a width of 9 cm and a length of 22 cm.

The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

We know the formula for the monthly payment:

[tex]\rm Monthly \ Payment \:=\:\dfrac{\left A\left(i\right)\left(1+i\right)^{n}\right}{\left(1+i\right)^{n}-1}[/tex]

It is given that:

Cathy is purchasing a DVD player and tv at the local electronic store.

The DVD player costs $49.36 and the tv cost $705.20.

If she plans for them in 12 equal payments,

Total cost(combining the cost of the DVD player and TV cost):

= $49.36 + $705.20

= $754.56

Per month payment = $754.56/12

Per month payment = $62.88

Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.

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Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

[tex]A= Pe^{rt}[/tex] , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously ,  [tex]A=1000e^{3.7\times5/100}[/tex]

⇒[tex]A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013[/tex]

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

[tex]A=P(1+\frac{r/4}{100} )^{4t}[/tex], where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, [tex]A=1000(1+\frac{3.7/4}{100} )^{4\times5}[/tex]

⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]

⇒[tex]A=1000(1+\frac{3.7}{400} )^{20}[/tex]

⇒[tex]A= 1202.19567617[/tex]

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228                                                  

To simplify the expression, combine terms with the same square root.

To simplify the expression 3√10 + 7√15 - 6√10 - 4√15, we can combine terms that have the same square root. In this case, the terms with √10 and √15 can be combined.

3√10 - 6√10 + 7√15 - 4√15

= (3 - 6)√10 + (7 - 4)√15

= -3√10 + 3√15

Therefore, the simplified expression is -3√10 + 3√15.

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