Question
The sum of the measures of the angles of a triangle is
180. The sum of the measures of the second and third angles is five
times the measure of the first angle. The third angle is 30 more than the second. Let T. y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
Provide your answer below:

Answer:

97.31 [tex]m^2[/tex]

Step-by-step explanation:

The area of the octagon is:

[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2

Answer:

D) 576 cubic cm

Step-by-step explanation:

[tex]16 \times 9 \times 4 = 576[/tex]

Answer:

the answer is D

Step-by-step explanation:

volume =height × length × width

so 9×4×16= 576

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill[/tex]

The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

The general form of a parabola is,

y = a (x - h)² + k

where (h, k) is the vertex.

Given vertex is (2, -11).

Equation is,

y = a(x - 2)² - 11

Also, given that the parabola passes through the point (0, 5).

Substituting,

5 = a (0 - 2)² - 11

⇒ 5 = 4a - 11

⇒ a = 4

So the required equation is, y = 4 (x - 2)² - 11.

Hence the equation of the given parabola is y = 4 (x - 2)² - 11.

Learn more about Parabola here :

https://brainly.com/question/30373667

#SPJ3

The difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years is $1.32.

Simple interest is when only the amount deposited increases in value.

Simple interest = deposit x interest rate x time

1750 x 0.0275 x 2 = $96.25

Interest earned with compounding = future value - amount deposited.

The formula for calculating future value:

FV = P (1 + r) nm

1750 x (1/0275)^2 = $1847.57

$1847.57 - $1750 = $97.57

Difference in interest; $97.57 - $96.25 = $1.32

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

15x+30

Step-by-step explanation:

multiply 15 and x + multiply 15 and 2

15x+30

Answer:

  D. 12p + 36 > 480

Step-by-step explanation:

The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.

__

The inequality expressing a sum greater than 480 is ...

  12p +36 > 480 . . . . choice D

None of the above because all are examples of the closure property as it relates to polynomials.

A function is known to be closed if its input value is equal to its output.

Accordng to the question, we need to select the function that obeys the law of closure.

To select the correct polynmials, we need to determine the function that has its left hand side equal to the right.

From the given options,we can see that all their right hand sides are equal to the left, hence we can conclude that "none of the above because all are examples of the closure property as it relates to polynomials"

Learn more on closure property here: https://brainly.com/question/17475166

Answer:It's 46.2

Step-by-step explanation:

Answer:

2 hours 30 minutes

Step-by-step explanation:

Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.

90min-15min = 75min (one way, walking)

2*75min = 150min = 2h 30min

Mike's will walk to school and back home 2h 30min

Answer:

c

Step-by-step explanation:

the line goes thru most of the points and it's in the same direction also bc i had that same question a couple days ago

We know that,

The surface of a cylinder is given by,

so,

the surface area of the given cylinder would be,

Answer:

A=35.5 degrees

Step-by-step explanation:

Check out the photo. Leave a comment if anything's not clear.

Answer:

it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)

Answer:

[tex]\huge\boxed{\bf\: 83 \: yd^{2}}[/tex]

Step-by-step explanation:

Consider rectangle ABCD.

Here,

AB = DC = 9 yd (length = l)

AD = BC = 7 yd (width = w)

Area of this rectangle:

= l * b

= 9 * 7

= 63 yd²

[tex]\rule{150pt}{2pt}[/tex]

Now, take rectangle DEGF.

Here,

DE = FG = 5 yd (length = l)

DF = EG = 4 yd (width = w)

Area of this rectangle:

= l * b

= 5 * 4

= 20 yd²

[tex]\rule{150pt}{2pt}[/tex]

Total area of the compisite figure:

= Area of rectangle ABCD + Area of rectangle DEGF

= 63 yd² + 20 yd²

= 83 yd²

[tex]\rule{150pt}{2pt}[/tex]

The difference, in square feet, between the visible surface area of

The Great Pyramid and the first tower of the World Trade Center are 358704.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The lateral surface area of this rectangular prism = Perimeter x height

The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.

The first tower was a rectangular prism with a square base whose sides

were 208 feet long. The tower was 1,368 feet tall.

Total surface area = base area + (1/2 × perimeter × slant height)

Perimeter of base = 4 × 756 = 3024 feet

Slant height = 612 feet

Base area = 756² = 571536 feet²

The total surface area

[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]

The surface area of this rectangular prism = Perimeter x height

Perimeter of base = 4 × 208 = 832 feet

Area = [tex]832 \times 1368\\\\1138176[/tex]

The difference, in square feet, between the visible surface area of

the Great Pyramid and the first tower of the World Trade Center are 358704.

Learn more about the area;

https://brainly.com/question/4599388

#SPJ1

Answer:

  surface area

Step-by-step explanation:

Wrapping paper covers the surface of an object.

To know how much paper he needs, Landry will need to determine the surface area of the present.

Answer:

(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D

So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D

Put x=1 , we get 3−8+10=D

D=5

Comparing the coefficient of x3 on both sides we get , A=3 .

So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5

Now compare the constant on both sides , 10=−3+B−C+5

=>8=B−C - (1)

Comparing the coefficent of x2 we get −8=−9+B

=>B=1

So , put B=1 in (1) , we get C=−7

Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45

Step-by-step explanation:

hope it helps

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240

[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Answer:

A. $0.60

Step-by-step explanation:

there are 5 strikers that cost $0.60 each, so the answer is letter A.

Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that:

Thus, the mean and the standard error for the approximation are given as follows:

Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]

Z = 1.18

Z = 1.18 has a p-value of 0.881.

1 - 0.881 = 0.119.

0.119 = 11.9% probability that at least 60 will return next month.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Using the permutation formula, it is found that there are 840 ways to place the letters.

The order in which the letters are placed is important, as PAST is a different arrangement that PTAS, for example, hence the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 letters are taken from a set of 7, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 ways to place the letters.

More can be learned about the permutation formula at https://brainly.com/question/25925367

#SPJ1

Answer:35

Step-by-step explanation:

Answer:

total marbles=3+10+8+4=25 marbles total

10 blue marbles/25 total marbles

10/25=2/5 probability

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2