The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?

The length of the fence which needs to be put around the pool will be 26 feet.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

You are the manager of the town pool.

You need to build a fence around the new children's pool area.

The pool is 5 feet wide by 8 feet long.

You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.

Then the length of the fence which needs to be put around the pool will be

P = 2 (5 + 8)

P = 2 x 13

P = 26 ft

Then the length of the fence which needs to be put around the pool will be 26 feet.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ1

Answer:

x = 50

Step-by-step explanation:

∠ BAC and 135° are adjacent angles and sum to 180° , then

∠ BAC = 180° - 135° = 45°

∠ BCA = 180° - 45° - 85° = 180° - 130° = 50° ( sum of angles in triangle )

x and ∠ BCA are alternate angles and are congruent , then

x = 50

Answer:

[tex]12\ inches[/tex]

Step-by-step explanation:

Step 1:  Determine how many ft are in 2 miles

[tex]1\ mile = 5280\ ft[/tex]

[tex]2\ miles = 5280\ ft * 2[/tex]

[tex]2\ miles = 10560\ ft[/tex]

Step 2:  Determine how many 880 ft's are in 10560 ft

[tex]10560\ ft / 880\ ft[/tex]

[tex]12[/tex]

Answer:  [tex]12\ inches[/tex]

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

Learn more about equation in:

brainly.com/question/10413253

#SPJ1

Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.

a) 280 points

b) 80 points

c) 240 points

d) 120 points

The average number of skateboards produced per day last year is 310.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year.

Z- score at 93.32% is -1.5

We know:

[tex]\rm Z = \dfrac{(x - \mu)}{\sigma}[/tex]

[tex]\rm -1.5 = \dfrac{(280 - \mu)}{20}[/tex]

μ = 280 + 30

μ = 310

Thus, the average number of skateboards produced per day last year is 310.

Learn more about the normal distribution here:

brainly.com/question/12421652

#SPJ1

Answer:

sorry if this is wrong, I don't take algebra two and I won't have to, but maybe a polynomial with three turns

These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3

These are functions inside another function. Given the following functions

m(x) = x^2 +3

n(x) = 5x +9

We are to solve for the function m(n(x))

m(n(x)) = m(5x+9)

Substitute 5x +9 into m(x) to have:

m(n(x)) = (5x+9)^2 + 3

Hence the resulting composite function is given as (5x+9)^2 + 3

Learn more on composite function here:  https://brainly.com/question/13502804

#SPJ4

Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."

Step-by-step explanation:

Answer:

In an isosceles triangle, two of the angles are congruent.

hope this helps :)

Answer:

Step-by-step explanation:

If m and n are both 1 then

Minimum value = 10^(1+1) * 3^(1-1) * 225

= 325.

If m and n have to be different, then m = 2 and n = 1

Minimum value = 10^3 * 3^1 * 15^2

= 675,000.

The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.

The term recursive formula can be used to describe the derivation of a term in a sequence based on the previous term.

Given the information in the question, the recursive formula is; 1.02(an-1 + 15) a1=200.

Learn more about recursive formula:https://brainly.com/question/8972906

#SPJ4

Answer:

Term-to-term rule: Adding one to the numerator and the denominator

10th term: 10/11

Step-by-step explanation:

Answer:

7.4 seconds

Step-by-step explanation:

878 = 16 t^2    divide both sides of the equation by 16

54.875 = t^2    take positive sq rt

7.4 seconds

Answer:

4.5 %

Step-by-step explanation:

Answer:

4.5%

Explanation:

1)  red = 3
2) green = 4
3) blue = 5

Total bumper cars: (3 + 4 + 5) = 12 cars

Michelle gets red car:

Remaining red cars: 3 - 1 = 2

Remaining total cars: 12 - 1 = 11

Garth get red car:

Probability they both get red cars:

Box and whisker plot has shown in the picture which shows different measures of the data set.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data:

45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100

Sample size: 15

A  = (c) The Lowest value (45)

B = (e)Lower quartile Median (55)

C = (b) Median (81)

D = (d) Upper quartile (93)

E = (a) The Highest value (100)

Thus,  box and whisker plot has shown in the picture which shows different measures of the data set.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

Answer:

16.06 lbs

Step-by-step explanation:

I believe, I did~ 0.73x22

Answer:

2.3 cm

Step-by-step explanation:

[tex]\textsf{Area of a trapezium}=\dfrac{1}{2}(a+b)h \quad \textsf{(where a and b are the bases and h is the height)}[/tex]

Given:

Substituting the given values into the formula and solving for x:

[tex]\implies \dfrac{1}{2}(3.8 + 6.1)x=11.385[/tex]

[tex]\implies \dfrac{1}{2}(9.9)x=11.385[/tex]

[tex]\implies 9.9x=22.77[/tex]

[tex]\implies x=2.3[/tex]

Area of trapezoid 1/2(sum of parallel sides)(Height)

i think its c

Step-by-step explanation:

don't count me on this

Your answer should be A please mark brainlest

Answer:

solution: (x,y)=(-2,8)

Step-by-step explanation:

1) 3x+3y=18

  2x+y=4

2) -x-y=-6

  2x+y=4

3) x=-2

4) 2x(-2)+y=4

5) y=8

6) (x,y)=(2,8)

and that is :D

Answer:

[tex]\boxed{\sf x = 8.67}[/tex]

Step-by-step explanation:

[tex]\sf 6(6 + x) = 4(4 + 18)[/tex]

Use the distributive property to multiply 6 by (6+x).

[tex]\sf 36+6x=4(4+18)[/tex]

Let's add 4 and 18 = 22.

[tex]\sf 36+6x=4 \times 22[/tex]

Multiply 4 and 22 = 88.

[tex]\sf 36+6x=88[/tex]

Subtract 36 from both sides.

[tex]\sf 6x=88 - 36[/tex]

[tex]\sf 6x=52[/tex]

Divide both sides by 6.

[tex]\sf x = 8.67[/tex]

The majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.

The data given in the table is-

3.01, 3.26, 3.26, 3.79, 4.26, 4.34, 5.17, 5.94, 5.94, 5.94, 5.94, 7.14, 7.54, 7.90, 8.03, 9.15, 10.25, 11.98, 12.84, 19.86

The majority of data is between 3.01 to 7.90. The percentage of these data values to total data is 70%.

When data is represented in dot plot, then the distribution is a normal distribution. The data set has the value of median and mode equal to 5.94.

Median=5.94

Mode=5.94

Thus, the majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

Learn more about the dot plot here;

https://brainly.com/question/15853311

#SPJ1

Answer:

After 9 years mother's age will be 3 times more than kofi's age .

Step-by-step explanation:

Given

Age of Kofi = 8 years

Age of Mother = 42 years

According to question , 3 times more than kofi's age .

=> ( 8+ x ) 3 = 42 + x

=> 24 + 3x = 42 + x

=> 3x - x = 42 - 24

=> 2x = 18

=> x = 18/2

=> 9

After 9 years ,

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

Learn more about Variation: brainly.com/question/6499629

SPJ1

[tex]\\ \rm\Rrightarrow \dfrac{7513/100\times 5x^3}{3x^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{75.13(5)x^3}{3x^2}[/tex]

[tex]\\ \rm\Rrightarrow {125.22x}[/tex]

Answer:

-2 and 1/4

Step-by-step explanation:

1/4 is equal to 0.25

2/5 is equal to 0.40

Because it is negative, 1/4 is considered greater.