The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
Answers
Related Questions
I need this problem solved
Answers
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
Billy has been on a diet for
22
weeks. He has averaged a loss of
0.73
pounds each week.
How many total pounds has Billy lost?
Answers
Answer:
16.06 lbs
Step-by-step explanation:
I believe, I did~ 0.73x22
Last year, the number of skateboards produced by a skateboard company is normally distributed. 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. Use this information to find the average number of skateboards produced per day last year.
Answers
The average number of skateboards produced per day last year is 310.
What is a normal distribution?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
If m(x) = x2 3 and n(x) = 5x 9, which expression is equivalent to (mn)(x)?
Answers
These are functions inside another function. The resulting composite function is given as (5x+9)^2 + 3
Composite functionsThese 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
You deposit $800 in an account that pays 8% annual interest compounded quarterly. About how
long will it take for the balance to triple?
Answers
Explination:
Youre going to use the equation A= Pe^rt
A= 2400 (800 trippled)
P= 800 because thats your deposit
E=0.08 (this is 8% as a decimal)
T= time, this is what youre going to find since its how long for it to tripple
Now lets do the math
2400. 800 e^0.08%
——— = ———————-
800 800
(Take 2400/800 this equals 3)
Now you’ll have this
3= e^0.08
Ln 3 = Ln e^0.08t
Ln3=0.08t Ln e
Now we have to get rid of 0.08
Ln 3 0.08t
——— = ————
0.08 0.08
Now in your calculator:
Ln (3) / 0.08 = 13.73265…..
So rounding this gives 13.73
T=13.73
The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Answers
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:
3/12 = 1/4Remaining red cars: 3 - 1 = 2
Remaining total cars: 12 - 1 = 11
Garth get red car:
2/11Probability they both get red cars:
1/4 × 2/11 = 1/22 ≈ 4.5%The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 units is N 3,655 while the charge for 42 units is N 2055:
a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N
Answers
The charge per unit of electricity is #415
The formula for E in terms of N is E = 375 + 40N
What is variation?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
Kofi is 8years old and his mother is 42. In how many years will his mother's age be 3 times more than kofi's age?
Answers
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 ,
Age of Kofi = 8 + 9 = 17 years Age of Mother = 42 + 9 = 51 yearsWrite the number shown in standard notation. 1.02 x 10 A. 1,020,000 B. 102,000,000 C. 102,000 D. 10,200,000
Answers
i think its c
Step-by-step explanation:
don't count me on this
Your answer should be A please mark brainlest
For the following sequence.
1/2 2/3 3/4 4/5 5/6
Describe the term to term rule.
...............................................
Calculate the 10th term
.............................................
Answers
Answer:
Term-to-term rule: Adding one to the numerator and the denominator
10th term: 10/11
Step-by-step explanation:
Which is Greater, negative 2 and 2 fifths or negative 2 and 1 forth?
Answers
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.
Victoria had $200 in her account at the end of one year. at the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. which recursive formula represents the total amount of money in victoria’s account at the end of the nth year?
Answers
The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.
What is a recursive formula?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
Point b has coordinates (1,2). the x-coordinate of point a is negative −11. the distance between point a and point b is 15 units. what are the possible coordinates of point a?
Answers
Solve this system of equations by
using the elimination method.
3x + 3y = 18
2x+y = 4
([?], [ ])
Answers
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
Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can
be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the
constraints on the values of x and y?
O y=5.5x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=5.5x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.
O y=x+5.5; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O 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.
Answers
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.
What is the equation for this situation?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.
Which of these is an example of similar terms
Answers
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
3. If you are just building your payment history, how many points from a perfect score will you possibly miss
A. 280 points
B.
80 points
240 points
D. 120 points
Answers
a) 280 points
b) 80 points
c) 240 points
d) 120 points
correct option :A) 280 pointsTimothy draws three isosceles triangles. In each figure, he measures a pair of angles.
What is a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning?
In an isosceles triangle, two of the angles are congruent.
In an isosceles triangle, one angle is always obtuse.
In an isosceles triangle, all of the angles are congruent.
In an isosceles triangle, two of the angles are obtuse.
Answers
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 :)
7cm
10cm
1 Define the perimeter of any closed two-dimensional shape.
2 Hence, calculate the perimeter of the figure above.
Answers
The data below represents the weight, in kilograms, of 15 containers shipped from a factory in one week.
Match the letter with the correct term that would be necessary to complete the box and whisker plot.
Answers
Box and whisker plot has shown in the picture which shows different measures of the data set.
What is the box and whisker plot?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
Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Hannah is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?
Answers
Please help me solve for X
Answers
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]
I need a genuine answer. Don't answer if you don't know. Need a proper explanation.
Answers
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.
If m >= n then N will also be natural which is a subset of rational numbers.
If m < n then 3^(m - n) will be less than 1 and N will need to be written as a fraction, which are still rational.
The minimum values for both m and n are 1 by definition.
can some please help me
Answers
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:
base a = 3.8 cmbase b = 6.1 cmh = x cmSubstituting 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)
1/2(6.1+3.8)x=11.3851/2(9.9)x=11.3859.9x=22.77x=22.77/9.9x=2.3A couple is looking for a mortgage to purchase a house for $256,000. If the bank requires a 5% down payment, what is the amount to be mortgaged?
$128000
$12800
$243200
$25600
Answers
Multiply $256,000 by 5%
Thank you for answer, if you do
Answers
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.
What is the meaning of dot plot?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
7513% [tex]\frac{5}{3x^{2} }[/tex] x³ Find the Product Show All work!
Answers
[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]
You are the manager at 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. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)
Answers
The length of the fence which needs to be put around the pool will be 26 feet.
What is a rectangle?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
Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the building?
Answers
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
The map uses a scale 1 inch = 880 ft. On the map, How many inches represent 2 miles?
PLS HURRY
Answers
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]