Answer:
Area of shaded region = 16π in² (D)
Step-by-step explanation:
The question is incomplete without the diagram if the circles. Find attached the diagram used in solving the question.
Area of the smaller circle = 8π in²
Area of a circle = πr²
πr² = 8π
r² =8
r = √8 = 2√2
From the diagram, there are two smaller circles in a bigger circle.
The radius of the bigger circle (R) is 2times the radius of the smaller circle (r)
R = 2r
Area of bigger circle = πR²
= π×(2r)² = π×(2×2√2)²
= π×(4√2)² = π×16×(√2)²
Area of bigger circle = π×16×2
Area of bigger circle = 32π in²
Since there are two smaller circles in a bigger circle
Area of shaded region = Area of bigger circle -2(area of smaller circles)
Area of shaded region = 32π in² - 2(8π in²)
Area of shaded region = 32π in² - 16π in²
Area of shaded region = 16π in²
Answer:
D.
Step-by-step explanation:
HELPPPPPPP ! LOOK AT ATTACHMENT Where does the horizontal asymptote lie for ?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
d = 8 cm
h = 18 cm
What is the surface area of the cylinder
Answer:
144 (If multiplying)
Step-by-step explanation:
18x8=144.
A bouquet of flowers has pink roses, red roses and yellow tulips. The probability of selecting a pink rose is 14. What is the probability of not selecting a pink rose?
Answer:
[tex]\dfrac{3}{4}[/tex]
Step-by-step explanation:
Given an event A
The probability of A occurring + The probability of A not occurring=1
or we can say:
P(A)+P([tex]A^c[/tex])=1, where [tex]A^c[/tex] is the complement of A.
In the given problem, if the probability of selecting a pink rose is 1/4.
(I want to presume its 1/4 not 14 since probability cannot be greater than 1)
We then have:
P(selecting a pink rose) + P(not selecting a pink rose)=1
P(not selecting a pink rose)=1-P(selecting a pink rose)
[tex]=1-\dfrac{1}{4}\\\\=\dfrac{3}{4}[/tex]
Can someone help me multiply this binomial?
Expand.
Your answer should be a polynomial in standard form.
(x-7)(x-3)
Answer:x^2 - 10x +21
Step-by-step explanation:
Jason went to a carnival where he could goon all rides for a flat fee of $30 but he had to pay $2 for each arcade game he played. Jason spent $44. How many arcade games did he play?
Answer:
He played 7 arcade games.
Step-by-step explanation:
The amount paid in relation to the number of games played can be modeled by a linear function in the following format:
[tex]A(n) = F + gn[/tex]
In which F is the flat rate and g is the price of each game.
Flat fee of $30 but he had to pay $2 for each arcade game he played.
This means that [tex]F = 30, g = 2[/tex]
So
[tex]A(n) = 30 + 2n[/tex]
Jason spent $44. How many arcade games did he play?
This is n for which A(n) = 44. So
[tex]A(n) = 30 + 2n[/tex]
[tex]44 = 30 + 2n[/tex]
[tex]2n = 14[/tex]
[tex]n = \frac{14}{2}[/tex]
[tex]n = 7[/tex]
He played 7 arcade games.
)
The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will
be 15 feet by 20 feet. Which is the area of the scale model?
OOO
O 48 square feet
60 square feet
120 square feet
O 300 square feet
Answer:
48 square feet.
Step-by-step explanation:
Answer:48 sq ft
Step-by-step explanation:
i got it right on e d g e n u i t y
i hate people when they say have a good day! on here so…. have a bad day!
Evaluate P/2 - 5 when p = 14
Original formula:
P/2-5 when p=14
You just need to plug in 14 in place of where the variable p is at. This is called substitution.
14/2-5
By the rules of PEMDAS, we will execute 14/2 first. (7)
7-5
2 is your final answer.
A grain silo has the dimensions shown. (height of 60, diameter of 20). The top of the silo is a hemispherical shape. Find the volume of the grain silo.
Answer:
[tex]20943.96 ft^3[/tex]
Step-by-step explanation:
The silo is shaped as a cylinder with a hemisphere on top of it.
We need to find the volume of the shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
The volume of a hemisphere is given as:
[tex]V = \frac{2}{3} \pi r^3[/tex]
where r = radius
Therefore, the joint volume of both shapes is:
[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]
The height of the silo is 60 and the diameter is 20.
This means that the radius is 10.
The cylindrical part of the silo and the hemispherical part have the same radius, 10.
The volume of the silo is:
[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]
The volume of the silo is [tex]20943.96 ft^3[/tex]
Graph the equation of the line y=3x+4 and use it for your reference to find: Quadrants in which this graph is in. (Use the numbers 1−4)
Answer:
Quadrants: 1, 3, 4. (See explanation for further details)
Step-by-step explanation:
The graphic of the linear function is included below as attachment. The line covers the following quadrants: 1, 3, 4
Answer:
1, 2, 3
Step-by-step explanation:
How many mL are in a cubic centimeter?
1,000
10,000
100.000
none of the above
Answer:
none of the above
Step-by-step explanation:
One milliliter is equal to a cubic centimeter. I think from the options, it's self-explanatory.
what is the median of this data set? 14,16,18,21,34,60
Answer:
19.5
Step-by-step explanation:
there are two middle values in this data set so you have to add and divide them. 18+21=39
39/2= 19.5
hope this helps ! :)
Answer:
19.5
Step-by-step explanation:
middle is 18 and 21 so we need to take the average of these 2 numbers
18+21=39
39/2=19.5
plzzzz do the right awnsers i failed the other on e plzz no du meys plzz i beg
Answer:
D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)
Step-by-step explanation:
I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points
Answer:
Vertex is (3,-1) zeros ( 4,0) (2,0) and y intercept (0,8)
Step-by-step explanation:
y = x^2 - 6x+8
Factor
y = (x-4) (x-2)
Set = 0 to find the zeros
0 = (x-4) (x-2)
Using the zero product property
x-4 = 0 x-2 =0
x=4 x=2
The vertex is 1/2 way between the zeros
(4+2)/2 = 6/2 = 3
y = (3-4) (3-2)
-1 (1)
y = -1
Vertex is (3,-1)
The y intercept is at x=0
y = 0-0+8
y =8
If 3x and 71/x are two prime numbers V x equivalent to R, then number of x so that 3x + 71/x = 10 is/ are
Answer:
x = 5/3Step-by-step explanation:
Guven two prime numbers to be 31/x and 71/x, if their sum is 10 as given;
3x + 71/x = 10 then to find the value of x, the following steps must be taken;
Step 1
Find the LCM of the given equation;
3x + 71/x = 10
[tex]\frac{3x^{2}+71 }{x} =10\\[/tex]
Step 2:
Cross multiplying;
[tex]3x^{2} +71=10x\\3x^{2} -10x+71 =0\\[/tex]
Using the general formula to get the value of x;
x = -b±√b²-4ac/2a
a=3, b=-10, c=71
= 10±√(-10)²-4(3)(71)/2(3)
= 10±√100-852/6
= 10±√-752/6
= 10±27.4i/6
= 10+27.4i/6 or 10-27.4i/6
x = 5/3+27.4i/6 or 5/3-27.4i/6
Since the values of x are real values then, our answer will be the real part of the complex number gotten.
x = 5/3
Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?
Answer:
11 cm
Step-by-step explanation:
The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.
To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:
66 / 6 = 11 cm
The length of one side of the model is 11 cm.
Find the value c that completes the square for x^2-8x+c
Answer: 16
Step-by-step explanation:
[tex]x^2-8x+c[/tex]
Let's complete the square.
[tex]c=(\frac{b}{2})^2[/tex]
[tex]c=(\frac{-8}{2})^2[/tex]
[tex]c=(-4)^2\\ c=16[/tex]
The value c that completes the square for x²-8x+c is,
c = 4
We have to give that,
An equation is,
⇒ x² - 8x + c
Now, Complete the quadratic equation to square,
⇒ x² - 8x + c
⇒ x² - 2×2²×x + 4
⇒ x² - 8x + 4
⇒ (x - 2)²
Hence, The value c that completes the square for x²-8x+c is,
c = 4
Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ6
A recipe for trail mix calls for 2 3/4 cups of peanuts, 1 2/3 cups of cashews, and 1 1/6 cups of almonds.
How many cups of nuts are used in all?
Answer:
5 7/12
Step-by-step explanation:
To get the total amount of nuts used in all, what we do is to add all the fractions together
But we convert them to mixed fraction to make the work easier;
2 3/4 = 11/4
1 2/3 = 5/3
1 1/6 = 7/6
Adding all, we have;
11/4 + 5/3 + 7/6 = (33+ 20 + 14)/12 = 67/12 = 5 7/12
Answer:
4 7/12
Step-by-step explanation:
2 3/4 + (1 2/3 + 1/6) = 2 3/4 + (1 4/6 + 1/6) = 2 3/4 + 1 5/6 = 2 9/12 + 1 10/12 = 3 19/12 = 4 7/12
Hope this helps!!!
Plz help with this problem
Answer:
A = 222 in²
Step-by-step explanation:
A = 2(wl+hl+hw) Use this equation to find the surface area of the rectangular prism
A = 2(5*12 + 3*12 + 3*5) Multiply
A = 2(60 + 36 + 15) Add in the parentheses
A = 2(111) Multiply
A = 222 in²
If this answer is correct, please make me Brainliest!
Which property of multiplication is shown?
9. (r:s) = (q.r).s
Answer:
I think it is associative! Not sure though bc of the q!
Step-by-step explanation:
A bakery sold 32 bagels in the first hour of business and 39 bagels in the second hour. If the bakery had 241 bagels to start with, how many bagels were left after the second hour.
Answer:
170 Bagels
Step-by-step explanation:
Add the amount of bagels from the first and second hour which equals to 71, then subtract that from the total which is 241 and you will get 170.
can you please help me fill this out thanks
Answer:
i believe the perimeter is 36 im sorry if its not correct
Step-by-step explanation:
simple adding
Question 2 (1 point)
Find the midpoint of the line segment with the given endpoints.
(-9, 8), (2, -1)
(-5.5, 4.5)
(-0.5, 0.5)
(13,-10)
(-3.5, 3.5)
Answer:
Step-by-step explanation:
(-9+2)/2= -7/2= -3.5
(8 + (-1))/2 = 7/2= 3.5
(-3.5, 3.5) is the solution
On your birthday you receive a new TV valued at $1199. The value of the TV decreases by 25% each year. What will its value be 4 years from now?
Answer: 74.93
Step-by-step explanation: if you heard of the line equals line method this should be able to help you.
299.75 25%
---------------=------------------
$1199 100%
so you cross multiply 1199 and 25 and then divide it by 100. which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.
299.75 divided by 4= 74.93
hope this helps
Answer:
379.37
Step-by-step explanation:
I just did it the manual way
1199-25%=899.25
(25% of 1199 is 299.75)
899.25-25%=674.44
(25% of 899.25 is 224.81)
674.44-25%=505.83
(25% of 674.44 is 168.61)
505.83-25%= 379.37
(25% of 505.83 is 126.5)
I just took a test with this question
At the movie theatre, child admission is $5.60 and adult admission is $8.80. On Saturday, 146 tickets were sold for a total sales of $1067.20. How many adult tickets were sold that day?
Answer: 68 adult tickets were sold and 78 child tickets were sold.
Step-by-step explanation:
a + c = 146 where a is the number of adults tickets sold and c is the numbe rof child tickers sold.
5.60 a+ 8.80c= 1067.20
a + c = 146
5.60a + 8.80c = 1067.20 solve by elimination.
a=68
c =78
The given equation has been solved in the table.
Answer:
D. the subtraction property of equality was not applied.
Step-by-step explanation:
Step 1: Listed the statement
Step 2: applied the addition property of equality
Step 3: Simplified
Step 4: Applied the multiplication property of equality
Step 5: Simplified
~
Determine if the question posed is a statistical question (yes) or not (no). What is 2 plus 2?
Answer:yes?
Step-by-step explanation:
it has #s in it lol
Answer:
no it isnt
Step-by-step explanation:
A spinner has 8 equal-sized sections. Six of the sections are orange.
Answer:
6 put of 8, 3/4, or 75%
Step-by-step explanation:
Hope this helps ! :) good luck
A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area
Answer:
176
Step-by-step explanation:
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and a 10% acid solution. Myra will need to mix how many gallons of the 20% solution and how many gallons of the 10% solution to have what she needs.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
Solve this Inequality, show work if you can, Thanks!!
Answer:
28 is less than or equal to x
Step-by-step explanation:
20 is less than or equal to x - 8
20 + 8 is less than or equal to x - 8 + 8
You add to cancel out the 8 to isolate x.
28 is less than or equal to x
A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?
Answer:
0.52 cubic inches
Step-by-step explanation:
Given: circumference of a basketball is 31.4 inches.
[tex]\pi =3.14[/tex]
To find: basketball's volume to the nearest cubic inches
Solution:
circumference of a basketball (sphere) = 6.28(radius)
Also, circumference of a basketball = 31.4 inches.
So, 6.28(radius) = 3.14
radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch
Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]