Find the area and the circumference of a diameter 8yd Use the value 3.14 for π, and do not round answer

Answer:

30 is your answer

Step-by-step explanation:

32x + 1 = 92x - 1

+1+1=92x-32x

2=60x

x=60÷2

x=30

Answer:

Yes

Step-by-step explanation:

It's a right angled triangle as 14^2+48^2=50^2.

Answer:

162

Step-by-step explanation:

because this is a parallelogram :

m<2 = m<4 so

4x - 22 = 3x - 12

4x - 3x = 22 - 12

x = 10 replace x with 10 in the equation for m<4

3x - 12 is 30 - 12 = 18

m<4 and m<1 are supplementary and their sum is equal to 180

m<4 + m<1 = 180

m<1 = 180 - 18

m<1 = 162

Answer:

C. All real values of x where 1 < x < 4

Step-by-step explanation:

The function is negative below the zeros which would be from -2 to 4.

It would be increasing from the vertex which is 0 to 4.

Therefore, C makes the most sense out of all the choices.

Answer:

C was correct

Step-by-step explanation:

Answer:

45 / 27 = 30 / 18 = x / 24

x = 40

Step-by-step explanation:

Hi there!

The question here states that the two polygons are similar

Polygons that are similar have similar side length ratios.

If we want to find a side length we must create a proportional relationship

We are already given a partial proportional relationship.

Which is...

45 / __ = __ / 18 = x / __

First let's fill in the blanks

The side that is corresponding to the side with a length of 45 has a length of 27. So it would be 45/27

The side that is corresponding to the side with a length of 18 has a length of 30. So it would be 30/18

The side corresponding to side labeled "x" has a length of 24. so it would be x/24

So we would have

45 / 27 = 30 / 18 = x / 24

Now let's find x

We only need 2 ratios ( the one including x of course, and the other one can either be 30/18 or 45/27)

30 / 18 = x / 24

Now let's solve for x

Cross multiply

30*24=720

18*x=18x

We now have 18x = 720

Divide both sides by 18

18x / 18 = x

720 / 18 = 40

x = 40

To check our answers we can see if the ratios are similar

If they are then we are correct

45/27 = 1.66

30/18 =1.66

40/24 = 1.66

They are all equivalent meaning that our answers are correct

Answer:

<A = 51

Step-by-step explanation:

Since AB = AC  ( shown by the lines on the sides) we know that this is an isosceles triangle

Since the sides are the same, the base angles are the same

<A = <C

<C = 51 so <A = 51

Answer:

hey the answer is cylinder= 211.5л!

=========================================================

Explanation:

We don't have a direct variation because the initial cost isn't $0

The equation for this situation is y = 25x+375, where x is the number of yearbooks purchased and y is the total cost.

Notice how this line doesn't go through the origin. All direct variation graphs are straight lines through the origin.

So that's why we have partial variation instead.

The initial cost is simply the set up cost, aka the cost when x = 0. That initial cost is $375. The initial cost is located at the y intercept.

From that initial cost, we then add on multiples of $25 depending on how many yearbooks are purchased.

-----------------

In short, because the initial cost is $375, which is some nonzero value, this means we don't have direct variation. Instead, we have partial variation.

Answer:

0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.

Step-by-step explanation:

For each couple, there are only two possible outcomes. Either they paid for their honeymoon, or they did not. The probability of a couple having paid for their honeymoon is independent of any other couple, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

It is known that seventy percent (70%) of married couples paid for their honeymoon themselves.

This means that [tex]p = 0.7[/tex]

You randomly select 9 independent married couples.

This means that [tex]n = 9[/tex]

What is the probability that all married coupled asked stated they paid for their honeymoon themselves?

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{9,9}.(0.7)^{9}.(0.3)^{0} = 0.0404[/tex]

0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.

Answer:

(x - 2)

Step-by-step explanation:

Given expression is,

[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]

We have to find the quotient.

x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2

                   x³ + 5x² + 6x

                       -2x² - 10x - 12

                       -2x² - 10x - 12

                                    0

Therefore, quotient of the given expression will be (x - 2).

Answer:

X - 2

Step-by-step explanation:

Answer:

1.732 is the value of cos C

Answer:

none of these

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos C = 4 sqrt(3)/ 5

cos C = 1.38564

Answer:

hhhahah

Step-by-step explanation:

eeee

Answer:

[tex]x=32768.000[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]log_2(x)+log_4(x)=5[/tex]

Use the logarithm base change rule, which states the following:

[tex]log_b(y)=\frac{log(y)}{log(b)}[/tex]

Remember, a logarithm with not base indicated is another way of writing a logarithm to the base of (10). One can apply the base change rule to this situation:

[tex]log_2(x)+log_4(x)=5[/tex]

[tex]\frac{log(x)}{log(2)}+\frac{log(x)}{log(4)}=5[/tex]

Factor out (log(x)),

[tex](log(x))(\frac{1}{log(2)}+\frac{1}{log(4)})=5[/tex]

Inverse operations:

[tex]log(x)=\frac{5}{\frac{1}{(log(2)+log(4)}}[/tex]

Simplify,

[tex]log(x)=5(log(2)+log(4))[/tex]

[tex]log(x)=4.51545[/tex]

Now rewrite the logarithm, remember, a logarithm is another way of writing an exponent, in the following format:

[tex]b^x=y\ \ -> log_b(y)=x[/tex]

[tex]log(x)=4.51545[/tex]

[tex]10^4^.^5^1^5^4^5=x[/tex]

[tex]32768.000=x[/tex]

Answer:

u is 17√2 and v is 17

Step-by-step explanation:

To find u:

[tex]{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}[/tex]

feed in the terms:

[tex] \sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2} [/tex]

To find v:

[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]

feed in the terms:

[tex] \cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17[/tex]

the cost price of radio is Rs.4450.

Answer:

tan Z = 4/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta= opp / adj

tan Z = 32/24

Divide top and bottom by 8

tan Z = 4/3

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

Answer:

(b)

Total frequencies:

Multiples of 3 or 5:

Required probability:

(c)

(i) Good limes = GL = 10

(ii) Good fruits = GF = 10 + 8 = 18

(iii) Good apple = GA = 8, Bad lime = BL = 6

Perimeter = the sum of the outer sides

#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)

#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)

#3. P = 4x + 6 + 10x - 2 + x - 7

#4. P = 15x  - 3

A. Correct - equivalent to #2

B. Incorrect - does not include all of the sides

C. Correct - equivalent to #1

D. Incorrect

E. Incorrect

F. Correct - equivalent to #4

Hope this helps!

Answer:

A, C, F.

Step-by-step explanation:

Answers A, C, and F are all equal and represent the perimeter of the shape.

There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.

Step-by-step explanation:

Volume of 100chocolates:

((12^2 x 15)/3) x 100 =72000

volume of cylinder:

base area x height

base area= πr^2= 5625π

height=volume/base area

height=72000/5625π=4.07 (3sf)

ans: 4.07mm

Answer:

[tex]U = x[/tex]

[tex]V=10[/tex]

Step-by-step explanation:

Given

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Required

Find U and V

We have:

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Expand

[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]

Collect like terms

[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]

[tex]x^2 + 20x + 100 = (U + V)^2[/tex]

Expand

[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]

Group

[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]

Factorize each group

[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]

Factor out x + 10

[tex][x + 10][x + 10] = (U + V)^2[/tex]

So, we have:

[tex][x + 10]^2 = (U + V)^2[/tex]

By comparison

[tex]U = x[/tex]

[tex]V=10[/tex]

A) 5 sides = 72.00

interior =108.00

B) 9 sides = 40.00

interior = 140.00

C) 15 sides = 24.00

interior = 156.00

D) 19 sides = 18.95

interior = 161.05

These are exterior angles right? y'know what I'll just put both

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

Answer:

No

Step-by-step explanation:

Because the area of a square is always a square of its length and a square can't be prime.

Answer:

D

Step-by-step explanation:

Slope is (1/8) and y intercept can be found by setting x=0.

Answer:

1

Step-by-step explanation:

so, the function is defined as coordinate pairs.

the first coordinate is x (and is the input variable), the second is y (the function result).

a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...

so, the function result = y = 2 and is the result of x²+1.

2 = x² + 1

1 = x²

x = 1

so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.

Answer:

[tex]\frac{y}{2}[/tex]

Step-by-step explanation:

n is doubled: 2n

y added: 2n + y

divided by 2: n + [tex]\frac{y}{2}[/tex]

n subtracted -> final resutl: [tex]\frac{y}{2}[/tex]

Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false

Step-by-step explanation:

subtracting equation i from it got cropped

so the answer for x is 7 and y is -17

hope this helps. :)