Solve for the measure of x in the following diagram

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

Answer:

35pi

Step-by-step explanation:

brainliest maybe?

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3

Answer:

32/3 x pi or 32/51 rounded to the nearest hundredths

Step-by-step explanation:

4/3 x r^3 x pi

=32/3 x pi

Answer:

Step-by-step explanation:

volume of the sphere fomular = [tex]\frac{4}{3} * \pi *r^{2}[/tex]

The diameter of a sphere is 4 centimeters -> radius = r = 2 cm

-> volumn = [tex]\frac{4}{3} *\pi *2^{2}[/tex]

                 = 16.7466666 cm3

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

Answer:

s=2

Step-by-step explanation:

subtract 21 from both sides= -3s=-6

divide by -3 to get s alone

s=2

s = 2

Step-by-step explanation:

subtract 21 to both sides

-3s= -6

then divide by -3 both sides to isolate  s variable

s= 2

Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

When X=0, Y=3

Answer:

This is the correct answer

Step-by-step explanation:

The V = 125

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.

Answer:

The length is 25 units and the width is 11 units

Step-by-step explanation:

Let the length of the rectangle be l.

Let the width of the rectangle be w.

We are given that the length of the rectangle is three times more than twice its width. This means that:

l = 3 + 2w

The perimeter of a triangle is given as:

P = 2(l + w)

This implies that:

P = 2[(3 + 2w) + w]

P = 2(3 + 3w)

We can use this to find the width of the rectangle and then the length.

The perimeter of the rectangle is 72 units.

Therefore:

72 = 2(3 + 3w)

72 = 6 + 6w

=> 6w = 72 - 6 = 66

w = 66 / 6 = 11 units

The length, l, is therefore:

l = 3 + 2(11) = 3 + 22 = 25 units

Answer:

probability of recovering exactly 3 pages of homework = 35/286

Step-by-step explanation:

She carries seven pages of math homework and six pages of English.

Thus, total pages = 7 + 6 = 13 pages.

Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.

There are a total of 7 pages of maths homework from the question.

Thus,

First page = 7/13

Second page = 6/12

Third page = 5/11

So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286

Answer:

11 ways

100 Pennies & 0 Dimes

90 Pennies & 1 Dimes

80 Pennies & 2 Dimes

70 Pennies & 3 Dimes

60 Pennies & 4 Dimes

50 Pennies & 5 Dimes

40 Pennies & 6 Dimes

30 Pennies & 7 Dimes

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

Learn more about probability here:https://brainly.com/question/24756209

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Answer:

$ 6.30

Step-by-step explanation:

A = P + I where

P (principal) = $ 6.00

I (interest) = $ 0.30

A = P(1 + r/n)nt

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

Answer:

The probability is 9/100

Step-by-step explanation:

First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students

The number of students without brown eyes is thus 20 -14 = 6 students

Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10

Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.

In probability, once we have the work and, we multiply.

So our answer here is 3/10 * 3/10 = 9/100

Answer:

0 to 30 minutes on edg.

Step-by-step explanation:

Answer:

c on e 2020

Step-by-step explanation:

7/16 maybe

...............

Answer:

7/16

Step-by-step explanation:

the relative

frequency probability that a randomly

selected pastry will be a chocolate

pastry is 7/16

Answer:

The total amount received by the author is of 221,616Gp.

Step-by-step explanation:

25,300 copies sold.

For the first 6000, he receives 10% of the selling price of 76 Gp.

For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.

Total amount received by the author:

6000*0.1*76 + 19300*0.12*76 = 221,616

The total amount received by the author is of 221,616Gp.

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.

Answer:

C

Step-by-step explanation:

[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]

Therefore, the answer is C. Hope this helps!

Answer: 1 minute 34 seconds

Step-by-step explanation:

From the question, Frankie was practicing for a 5 kilometer race and his normal time is 31 minutes and 24 seconds but yesterday he used 29 minutes and 50 seconds. To calculate how much time came of his normal time, we are going to find the difference between the yesterday's time and normal time. This will be:

31 minutes 24 seconds - 29 minutes 50 seconds = 1 minute 34 seconds

Answer: 72

Step-by-step explanation:

Ok, in her legs the options are:

2 jeans + 3 black pants + 1 skirt = 6 options.

on her torso the options are:

2 pinks shirts + 4 striped shirts = 6 options.

And on top of that she has:

2 hooded sweatshirts = 2 options.

The total number of combinations is equal to the product of options for each type of garmet; this is:

C = 6*6*2 =36*2 = 72

So she has 72 different outfits.

Answer:

It is 70 becouse of how many clothing ther is and u just mulytly

it tell me if im right or wrong

thanks stay safe

byebye

Step-by-step explanation:

Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

(1/2) ^ 4 = 0.0625

that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

Answer:

the answer is b. tangent

Step-by-step explanation:

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The tangent of the angle is

[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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Answer:

No it is irrational (looked at it wrong)

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

Answer:

<3 I want brainliest!!!

Step-by-step explanation:

1) 5.54 x 10^9

2) 2.5409 x 10^-5