Answer:
(a) 57.8 cm²
(b) 158.7 in²
Step-by-step explanation:
(a)
The area of a circle is denoted by A = 2πr, where r is the radius.
Here the radius is r = 9.2, so plug this in:
A = 2πr
A = 2π * 9.2 ≈ 57.8 cm²
(b)
The diameter is twice the radius, so since the diameter is 50.5 inches, the radius will be 50.5/2 = 25.25 inches.
Plug this into the formula:
A = 2πr
A = 2π * 25.25 ≈ 158.7 in²
~ an aesthetics lover
10 points And thank you for whoever answers
Answer:
B) skirt 1, white
skirt 1, black
skirt 2, white
skirt 2, black
Step-by-step explanation:
You can wear skirt type 1 in white or black, or skirt type 2 in white or black
B) skirt 1, white
skirt 1, black
skirt 2, white
skirt 2, black
You have a lead ball with a mass of 420 g. The density of lead is 10.5 g/cm square. What is the volume of the ball?
Answer: Volume = 40 cm3
Step-by-step explanation:
A wrestling mat used for high school competition is shown. The wrestling circle has a diameter of 28 feet. The inner circle has a diameter of 10 feet. What is the approximate area of the large wrestling circle (not including the inner circle)? Round your answer to the
nearest tenths place.
Answer:
537.2 ft^2
Step-by-step explanation:
For this problem, we need to find the area of both the inner and outer circle and subtract the area of the outer circle from the area of the inner circle.
The equation for the area of a circle is:
A = πr^2
So we are given the diameters of the circles. We know that the diameter of a circle is twice the radius.
Let's find the area of the 10ft diameter circle:
A_Little = π(10/2)^2 = π(5)^2 = 25π
Let's find the area of the 28ft diameter circle:
A_Big = π(28/2)^2 = π(14)^2 = 196π
So the area of the big circle excluding the inner circle would be as follows:
196π - 25π = 171π
So 171π in terms of decimals rounded to the nearest tenth would be 537.2.
Cheers.
Area of big remain circle is 536.94 feet²
Area of circle:Given that;
Diameter of big circle = 28 feet
Diameter of small circle = 10 feet
Find:
Area of big remain circle
Computation:
Radius of big circle = 28 / 2 = 14 feet
Radius of small circle = 10 / 2 = 5 feet
Area of big remain circle = π(R1² - R2²)
Area of big remain circle = 3.14(14² - 5²)
Area of big remain circle = 3.14(171)
Area of big remain circle = 536.94 feet²
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Linda earns 10 dollars each hour working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Linda earns in an hour if she sells B books. Write an equation relating A to B . Then graph your equation using the axes below. I get this right all up until the graphing. Can someone help me graph the equation properly? I have tried a question like this 2 times and we only have 3 attempts. It keeps switching on the test. My last attempt is next...
I’m thinking the graph should look like this since it starts at (0,10) and $1 for each book which is the x. I apologize if it’s wrong
walk block.
a)sentence
b)fragment
Answer is fragment because is fragment walk block
Using cross multiplication, which of the following is the solution to 7/3x = 2/(x+5)?
Step-by-step explanation:
Hey, there!!
[tex] \frac{7}{3x} = \frac{2}{x + 5} [/tex]
By cross multiplication,
[tex]7.(x + 5) = 2 \times 3x[/tex]
[tex]7x + 35 = 6x[/tex]
[tex]7x - 6x = -35[/tex]
Therefore, x= -35.
Hope it helps...
What is the area of triangle PQR?
Answer:
area = 2236 in²
Step-by-step explanation:
area of a triangle = 1/2 b h
b = 86
h = 52
plug in values
area = 1/2 * 86 * 52
area = 2236 in²
Find the value of N: 1/N = 1/5 + 1/4 - 1/3 + 1/12
Answer:
1/ N = 1 / 5 + 1/ 4 - 1/ 3 + 1/12
taking L.C.M
Then,
or, 1/N = 5 + 6 / 20 - 13+ 4 / 12
or, 1/N = 11/ 20 - 7/12
or, 1/N = 14 - 12 / 60
or, 1/N = 2 / 60
NOW,
Do cross multiplication,
60 = 2N
or, 60 / 2 = N
so, N = 30
ANS
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 120 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 234 kilograms. How much does each type of box weigh?
Answer:
one large box equals 15.75kg
one small box equals 13.75kg
Step-by-step explanation:
First, identify your variables:
Let "l" represent the weight of one large box.
Let"s" represent the weight of one small box.
Then, stack the two equations on top of each other:
[tex]5l+3s=120\\7l+9s=234[/tex]
Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:
[tex]3(5l+3s=120)\\7l+9s=234\\\\15l+9s=360\\7l+9s=234[/tex]
Now, subtract the two equations to cancel out the s-variable and find the l-variable:
[tex]15l+9s=360\\-(7l+9s=234)\\8l=126\\\frac{8l}{8}=\frac{126}{8}\\l=15.75[/tex]
Then, substitute your l-variable in the original first equation to find the s-variable:
[tex]5l+3s=120\\5(15.75)+3s=120\\78.75+3s=120\\78.85-78.75+3s=120-78.75\\3s=41.25\\\frac{3s}{3}=\frac{41.25}{3}\\s=13.75[/tex]
With all the information that is collected, you find that one large box weighs 15.75kg and one small box weighs 13.75kg.
Two sides of a triangle have the same length. The third side measures 7m less than twice the common length. The perimeter of the triangle is 17m. What are the lengths of the three sides? What is the length of the two sides that have the same length?
Answer:
Step-by-step explanation:
I am pretty sure your answer is 3
Answer:
2 sides=5 lonely side =7
Step-by-step explanation:
if the full perimeter is 17 and one side is just 7 then you can subtract 7 from 17 and get ten so then you can divide ten by two and get 5 for both sides.
Increasing the value of m increases the line’s intersection with the y-axis. intersection with the x-axis. steepness.
The increasing the value of m increases the line’s intersection with the y-axis. intersection with the x-axis which is stepness
What is stepness of line?The slope of a line is a measure of its steepness. In mathematics, the stepness or gradient of a line is a number that describes both the direction and the steepness of the line. The stepness of a line is defined as the change in y-values divided by the change in x-values.How to solve this problem?The steps are as follow:
Decreasing the value b decreases the line’s intersection with the y-axisSo the answer is stepnessTherefore the increasing the value of m increases the line’s intersection with the y-axis. intersection with the x-axis which is stepness
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Answer: C
Step-by-step explanation:
Solve the system of inequalities by graphing.
2x+ 5y <25
y < 3x - 2
5x - 7 <14
Answer:
b
Step-by-step explanation:
Choice b is the only one that has the first equation properly graphed. The boundary line for that equation will have intercepts that can be found by setting the opposite variable to zero.
x-intercept = 25/2 = 12.5 (on the positive x-axis)
y-intercept = 25/5 = 5 (on the positive y-axis)
That is, the boundary line has a shallow negative slope, and is shaded below. Only graph 'b' has such a line.
You have 19 shirts to choose from, 5 pants, and 2 pairs of shoes. How many different outfits can you make?
A sector subtends an angle of 70 at the centre of a circle of radius 21cm. Calculate the area of the sector?
Answer:
12.8 cm^2
Step-by-step explanation:
Angle subtended by the sector=70
Radius of the circle= 21 cm
Area of the sector =[tex]\frac{given angle}{360}[/tex] x [tex]\pi r^{2}[/tex]
= [tex]\frac{70}{360}* \frac{22}{7}*21\\\\\frac{70}{360 } *22*3\\\frac{77}{6}\\ 12.8[/tex]
If f(x) = −-4x^{2} + 15, then f(−3) =
Answer:
f(-3) = -21
Step-by-step explanation:
To find f(-3), we just need to plug x = -3 into f(x) so:
f(-3) = -4 * (-3)² + 15
= -4 * 9 + 15 = -36 + 15 = -21
Answer:
[tex]\Huge \boxed{-21}[/tex]
Step-by-step explanation:
[tex]f(x) = -4x^{2} + 15[/tex]
f(-3), the input is -3 for the function f(x).
The value of x = -3
[tex]f(-3) = -4(-3)^{2} + 15[/tex]
Evaluate the expression.
[tex]f(-3) = -4(9)+ 15[/tex]
[tex]f(-3) = -36+ 15[/tex]
[tex]f(-3)=-21[/tex]
The value of f(-3) is -21.
What are the next three terms in the sequence 2, -4, 8, -16, 32, ...?
Answer:
Hey there!
The next three terms are: -64, 128, -256.
Let me know if this helps :)
Answer:
-64, 128, -256
Step-by-step explanation:
Times -2 every step
Lithium, sodium and potassium are very reactive metals found in Group 1 on the..
Periodic Table. Which of the following facts about this group of elements is related
to its chemical reactivity?
A Neutral atoms of group 1 elements do not have a charge.
B The Alkali Metals contain neutrons in the nucleus.
C The atoms of group 1 elements have one valence electron.
D Group 1 contains more elements than most other groups.
Answer:
Answer is C
Step-by-step explanation:
This is because Lithium =2.8.1
Sodium=2.8.8.1
Valence electron is the electron located in the last shell
Hope this is correct and helpful
HAVE A GOOD DAY!
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 14 75 31 23 77 63 88 40 68 11 60 Range=nothing (Round to one decimal place as needed.)
Answer:
The range is 77.
The variance is 739.8.
The standard deviation is 27.2.
Step-by-step explanation:
The data provided, in ascending order is as follows:
S = {11 , 14 , 23 , 31 , 40 , 60 , 63 , 68 , 75 , 77 , 88}
The range of a data set is the difference between the maximum and minimum values.
From the above data set we know,
Maximum = 88
Minimum = 11
Compute the range as follows:
Range = Maximum - Minimum
= 88 - 11
= 77
The range is 77.
Compute the mean of the data as follows:
[tex]\bar x=\frac{1}{n}\sum x_{i}=\frac{1}{11}\times [11+14+23+...+88]=50[/tex]
Compute the variance as follows:
[tex]\sigma^{2}=\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}[/tex]
[tex]=\frac{1}{11-1}\times [(11-50)^{2}+(14-50)^{2}+...+(88-50)^{2}]\\\\=\frac{1}{10}\times 7398\\\\=739.8[/tex]
The variance is 739.8.
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{\frac{1}{n-1}\sum (x_{i}-\bar x})^{2}}=\sqrt{739.8}=27.199265\approx 27.2[/tex]
The standard deviation is 27.2.
If 13 ounces of tea costs $3.19, how much would you expect to pay for 15 ounces of tea? (Round your answer to the nearest cent.
Answer: $3.68
Step-by-step explanation:
Factoriseeeee COMPLETELY 12x²y² - 17xy- 40 (Show all steps) :D be quickkkk
12x²y² - 17xy - 40
xy (12xy - 17) - 40
As the x and y are shown in both variables but there is no other common factors. I didn't include the 40 as it didn't share any common factors with all of them.
I am 2 digit number my ones place is a digit that is 2 less than six my tens place is double the amount of my ones place What number am I?
Answer:
I believe it is 48
Step-by-step explanation:
because 4 is two less than 6, and 4 doubled would be 8
Round 3.642 to the nearest hundredth
Answer:
3.64
Step-by-step explanation:
Identify the hundredth:
3.642
Check the value of the thousandth:
3.642
If the number is greater than or equal to 5, then we round up.If the number is less than of equal to 4, we round down.
2 is less than four, therefore, we will round down.
3.642 ≈ 3.64
Evaluate the expression shown below and write your answer as a fraction in simplest form. 3 •1. 2 3
Answer:
[tex] \frac{9}{14} [/tex]
Step-by-step explanation:
Evaluate, [tex] -\frac{3}{2} [/tex] ÷ [tex] -\frac{7}{3} [/tex] by first changing the operation from division to multiplication and flipping the fraction by your right upside down.
Thus,
[tex] -\frac{3}{2} * -\frac{3}{7} [/tex]
Negative multiplied by negative = positive
[tex] \frac{3*3}{2*7} = \frac{9}{14} [/tex]
The southward translation of the rose garden is along which axis? What integer represents a change of four yards south?
Going south means you're going in the negative direction along the y axis
Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)
Answer:
Southward translation of the rose garden will move it in the negative y-direction. The integer that represents a change of four yards south is -4.
Step-by-step explanation:
BRAINLIEST An artist has a book of clay in the shape of a cube. The edges of the cube measure 3 inches. The artist will use the clay to make models of
pine trees. Each tree will be a solid cone with a base diameter of 1.5 inches and a height of 2 inches.
Part 8
The artist plans to decorate each clay pine tree with pieces of yam that will extend directly from the top of the tree to the base of the tree.
write an equation that can be used to determine the length, x, in inches, of each piece of yam that the artist will need. Explain your
equation
Answer:
a) 22 pine trees
b) x² = 2² + 0.75²
Step-by-step explanation:
a) The volume of a cube is given as:
Volume of cube = length³
The length of the cube = length of the edges = 3 inches, hence:
Volume of cube = (3 inches)³ = 27 in³
The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.
The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³
The number of pine trees that the artist can make = Volume of cube / Volume of cone = 27 / 1.178 = 22.9
The number of pine trees that can be made = 22
b) The yam length need to extend from the top of the tree to the base is the same as the slant height of the cone.
Let the yam length be x, therefore:
x² = height² + radius²
x² = 2² + 0.75²
x² = 4 + 0.5625 = 4.5625
x = √4.5625 = 2.136 in
The yam length is 2,136 in
The number 430,290,100 in expenden form
Answer:
400,000,000+30,000,000+200,000+90,000+100
Give an expression for the answer using permutation notation, combination notation, factorial notation, or other operations. Then evaluate. Of the first questions on a test, a student must answer . Of the second questions, the student must answer . In how many ways can this be done?
Answer:
This question is not complete. Let me explain the concept of combination and permutation.
Step-by-step explanation:
The general formula for factorial is n! = n×(n - 1)×(n - 2)×...×2×1
0! = 1
Example 1:
How many different words can we make using the letters D, S, K and Z?
Solution:
We have 4 letters here.
Therefore, to get the possibility of the numbers, we will use:
4! = 4 x 3 x 2 x 1 = 24. We have 24 different words that can be made with the letters.
Permutation
The general formula for permutation is n P r = n! / (n - r)!
Example 2:
Find 5 [tex]P_{3}[/tex]
Solution: This will give 5!/(5-3)! = (5 x 4 x 3 x 2 x 1) / 2!
= 120 / 2 x 1 = 120 / 2 = 60
Combinations
The general formula for combination is n C r = n! / [ (n - r)! r! ]
Example 3:
Find 4[tex]C_{3}[/tex]
Solution: 4[tex]C_{3}[/tex] will give 4!/(4-3)!3! = (4 x 3 x 2 x 1) / 1!3!
= 24 / 1(3 x 2 x 1) = 24 / 6 = 4
Example 4: In Nigeria, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters from the alphabet. How many number plates will be formed if neither the digits nor the letters are repeated?
Solution: Note that we have 26 letters in the alphabet chart.
(9 P 4) × (26 P 3) = 9!/(9-4)! x 26!/(26-3)! = 47,174,400
A fair coin is tossed 3 times. What
is the probability of getting 2
heads in a row, given that exactly
2 heads occur?
Answer:
The ratio of successful events A = 3 to total number of possible combinations of sample space S = 8 is the probability of 2 heads in 3 coin tosses.
Step-by-step explanation:
Answer: [tex]\dfrac{2}{3}[/tex]
Step-by-step explanation:
Given that there are exactly two heads out of three coins, we have the following possibilities:
H H T
H T H
T H H
Two of the three possible outcomes have two heads in a row.
[tex]\dfrac{\text{Number of "two heads in a row"}}{\text{Number of "exactly two heads"}}=\large\boxed{\dfrac{2}{3}}[/tex]
Calculate. (3 1/3 −1 5/6 ) ÷ 2 1/7 −1 1/3 · 2.4
The formula for the size of a file that was downloaded over time t and at an average rate r is r.t.
Siena downloaded a file at a rate of 800 kilobytes per second for about 110 seconds.
What calculation will give us the estimated size of the file Siena downloaded, in megabytes?
Answer:
The size of file downloaded is 88 megabytes.
Step-by-step explanation:
Given that:
Average rate of downloading the file = [tex]r[/tex]
Time taken to download = [tex]t[/tex]
Formula for the size of file downloaded = [tex]r.t[/tex]
Rate of downloading, [tex]r = 800\ kilobytes/sec[/tex]
Time taken, [tex]t[/tex] = 110 seconds
To find:
Size of file downloaded in megabytes = ?
Solution:
First of all, let us apply the given formula to find the size of file downloaded:
Size of file downloaded = [tex]r.t[/tex]
Size of file downloaded = 800 kilobytes seconds [tex]\times[/tex] 110 seconds =
88000 kilobytes.
Now, let us convert the unit kilobytes to megabytes to find the answer.
Conversion formula:
1000 kilobytes = 1 megabyte
Let us use unitary method to find the number of megabytes in 88000 kilobytes.
1 kilobytes = [tex]\frac{1}{1000}[/tex] megabytes
88000 kilobytes = [tex]\frac{1}{1000} \times[/tex] 88000 megabytes
[tex]\Rightarrow[/tex] 88 megabytes.
Therefore, the size of file downloaded is 88 megabytes.
Answer:
800/1000*110
Step-by-step explanation: