Hello- GIve me a random math question Plz
Emily cuts two circles from a sheet of colored paper measuring 8" x 12". One circle
had a radius of 3 inches and the other had a diameter of 5 inches. How many square
inches of paper are left over? Is it possible to cut another circle with a 3 inch radius from
the paper? If the 3 inch circle fits what is the largest circle (What is its radius) you can
draw that will still fit on your paper.
Answer:
a. 48.1 square inches
b. yes
c. 2.51 in
Step-by-step explanation:
a. How many square inches of paper are left over?
To know this, we need to calculate the area of the sheet of colored paper and then subtract the are of the circle from it.
So, A = area of colored paper = 8" x 12" = 96 in²
A'= Area of 3 inch radius circle = πr²
= π(3)²
= 9π in²
A" = Area of 5 inch diameter circle = πd²/4
= π(5)²/4
= 25π/4 in²
= 6.25π in²
A₀ = area of circles = 9π in² + 6.25π in²
= 15.25π in²
= 47.91 in²
So, there are left A₁ = A - A₀
= 96 in² - 47.91 in²
= 48.09 in²
≅ 48.1 in²
So there are 48.1 square inches left over.
b. Is it possible to cut another circle with a 3 inch radius from the paper?
To know this, we calculate the area of a 3 inch radius paper and see if it is less or more than the remaining area of paper. If it is less, it can be cut.
So, A₂ = Area of 3 inch radius circle = πr²
= π(3)²
= 9π in²
= 28.3 in²
Since A₂ = 28.3 in² < A₁ = 48.1 in² (the rest of the colored paper area), it can be cut. So the answer is yes, another circle with a 3 inch radius can be cut from the paper.
c. If the 3 inch circle fits what is the largest circle (What is its radius) you can draw that will still fit on your paper.
We find the area of the remaining colored paper by subtracting the area of the 3 inch circle from the remaining area. So.
A₃ = A₁ - A₂
= 48.1 in² - 28.3 in²
= 19.8 in²
This is the area of the remaining colored paper. We then find the radius, r of the circle with area A₃ = 19.8 in² that would fit into the area.
So, A₃ = πr²
r = √(A₃/π)
= √(19.8 in²/π)
= √(6.302 in²)
= 2.51 in
I SUCK AT MTH PLS HELP 20 POINTS!!!
I'm stuck on the one with graphs...
What single decimal multiplier would you use to increase by 7% followed by a 4% decrease?
Answer:
To increase an amount by 7%, you would want to use 1.07 as the multiplier. To decrease it, you would use 0.93
Step-by-step explanation:
5x^2 - 6x - 28 = 0
please help me do this
Answer:
x= 3 5 + 1 5 √149 or x= 3 5 + −1 5 √149
Which graph best represents a decreasing function?
Answer:
It is C
Step-by-step explanation:
Just Finished the test and that's the answer
den
URA - Add/sub/monomials Practice
<
8/17
>
Set background
Clear frame
Rectangle ABCD has a length represented by the expression 2x - 3, and a width
represented by the expression 4x + 5. Rectangle PQRS has a length represented by
the expression x - 1, and a width represented by the expression 3x + 2. Which are used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PQRS
Answer:
Perimeter of ABCD - Perimeter of PQRS = 4x + 2
Step-by-step explanation:
i. For rectangle ABCD;
length, l = 2x -3
width, w = 4x + 5
Perimeter of a rectangle = 2(l + w)
Perimeter of ABCD = 2((2x -3) + (4x + 5))
= 2(2x -3 + 4x + 5)
= 2(6x + 2)
Perimeter of ABCD = 12x + 4
ii. For rectangle PQRS;
length, l = x - 1
width, w = 3x + 2
Perimeter of a rectangle = 2(l + w)
Perimeter of PQRS = 2((x - 1) + (3x + 2))
= 2(x - 1 + 3x + 2)
= 2(4x + 1)
Perimeter of PQRS = 8x + 2
So that,
Perimeter of ABCD - Perimeter of PQRS = (12x + 4) - (8x + 2)
= 12x + 4 - 8x - 2
= 4x + 2
Perimeter of ABCD - Perimeter of PQRS = 4x + 2
Andre had lots of Halloween candy. He ate the same amount of candy each day. After 10 days he had 115 pieces. After 18 days he had 43 pieces. How many will he have after 22 days?
9514 1404 393
Answer:
7 pieces
Step-by-step explanation:
In the 8 days between day 10 and day 18, Andre's candy decreased by 115-43 = 72 pieces. In the next 4 days (half the time of that decrease), we expect it to decrease by half that amount, so 72/2 = 36 pieces.
After 22 days, the amount remaining will be 43 -36 = 7 pieces.
plz help me??? (dont u feel like people r ignoring u?)
Answer:
yes all the time
Step-by-step explanation:
i giveee brainlilsdtttt
2(3x-4)=(x+37)
I don't know how to do
Answer:
Step-by-step explanation:
Wow
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer: 107 students
Step-by-step explanation: 115 minus 8 is 107
Answer:
132
Step-by-step explanation:
becca have 115-8= 107 so 107+25= 132
Jermaine did this work to solve an equation. Did he make an error?
4x+6-r= 2x + 3
5x + 6 = 2x + 3
Answer:
First, I go by finding x and r.
After that, put the numbers (ie. x= # and r=#) into the equations. Check it by finding L.H.S and R.H.S. (ie. left hand side and right hand side)
If you are still confused, comment down and I'll try to provide better explanation!
which ones are equalivilent to 2.5
10/-4
10/4
-10/-4
-5/-2
-5/2
5/2
Answer:
10/4, -10/-4, -5/-2, and 5/2
Step-by-step explanation:
These are equivalent.
PLEASE HELP!!!
In a computer catalog, the diagonal distance of a computer monitor screen is labeled as 21 inches. If the screen measures 14 inches in height, what is the width of the screen?
A. 345 in.
B. 261 in.
C. 245 in.
D. 10 in.
Answer:
C
Step-by-step explanation:
The width of the screen is approximately 15.65 or √(245) inches. The correct answer would be an option (C).
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
The height of the screen (AB) is 14 inches, and the diagonal distance (AC) is 21 inches.
AB² + BC² = AC²
We can use these values to solve for the width of the screen (x):
x² = 21² - 14²
x² = 441 - 196
x² = 245
To solve for x, we can take the square root of both sides of the equation:
x = √(245)
x ≈ 15.65
Thus, the width of the screen is about 15.65 or √(245) inches.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
Michelle is working on a design for a new building. She has built a model of the building according to the client's specifications.
The height of the model is 15 inches, the slant height of the model is approximately 17 inches, and the base has a length of
14 inches and a width of 20 inches.
w
Note: picture not drawn to scale.
Michelle must order appropriate equipment to heat and cool the building, so she must use the model to determine how much
space there will be inside. What is the volume of her model? (Round to the nearest hundredth, if necessary.)
OA
5,600 cubic inches
OB
1,400 cubic inches
OC. 280 cubic inches
OD
980 cubic inches
Answer:
Step-by-step explanation:
980
Plz help this is 10 points
Answer:
9/7
Step-by-step explanation:
Francine rolls two 6-sided number cubes. What is the probability that she rolls
a sum equal to 6? Use the diagram of the sample space to help you.
Answer:
Option D
Step-by-step explanation:
Probability of an event = [tex]\frac{\text{Favorable outcome}}{\text{Total number of outcomes}}[/tex]
Favorable outcome = sum of numbers is 6 on rolling two cubes
= (5 + 1), (4 + 2), (3 + 3), (2 + 4), (1 + 5)
Therefore, number of rolls that she gets a sum of 6 = 5
Total number of outcomes = 6 × 6 = 36
Therefore, probability that she rolls a sum equal to 6 = [tex]\frac{5}{36}[/tex]
Therefore, Option D will be the answer.
Use the difference of squares identity to write this polynomial expression in factored form:
9x2 − 49.
The vertex of this parabola is at (1,3). Which of the following could be its
equation?
10
(1,3)
-10
10
- 10+
Answer:
C. [tex]x = 3\cdot (y-3)^{2}+1[/tex]
Step-by-step explanation:
From Analytical Geometry, the equation of a parabola with axis of symmetry parallel to the x-axis and centered in [tex]V(x,y) = (h,k)[/tex] is described below:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex.
[tex]C[/tex] - Vertex factor.
If we know that [tex]h = 1[/tex] and [tex]k = 3[/tex], then the equation of the parabola is:
[tex]x-1 = C\cdot (y-3)^{2}[/tex]
[tex]x = C\cdot (y-3)^{2}+1[/tex]
Therefore, the option that could be its equation is C.
1. Simplify the expression (n3)6
(-9n+9+6n4)-6n-7n4) simplified?
4 4/5 divided by 3/10
Help
Answer:
16 is the answer
Step-by-step explanation:
4 4/5 x 10/3
Answer:
16
Step-by-step explanation:
4 4/5 / 3/10 =
24/5 / 3/10 =
24/5 x 3/10=
240/15 / 15/15 =
16
hope it helps , mark brainleist if u want and thx
Enter the correct answer in the box.
IF x≠0, what is the sum of 4 v^3 x^10 + 5x^3 ^3
Answer: [tex]14*\sqrt[3]{x^{10}}[/tex]
Step-by-step explanation:
First, let's remember the rules:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
such that:
[tex]\sqrt[n]{x^m} = x^{m/n}[/tex]
[tex](x^a)^b = x^{a*b}[/tex]
[tex]x^a*x^b = x^{a + b}[/tex]
Now we have the equation:
[tex]4*\sqrt[3]{x^{10}} + 5*x^3*\sqrt[3]{8*x}[/tex]
First, let's rewrite the roots as we saw above:
[tex]4*x^{10/3} + 5*x^3*\sqrt[3]{8}*x^{1/3} = 4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3}[/tex]
We also know that: [tex]\sqrt[3]{8} = 2[/tex]
and that: [tex]3 + 1/3 = 9/3 + 1/3 = 10/3[/tex]
Replacing those two things in our equation, we get:
[tex]4*x^{10/3} + 5*\sqrt[3]{8}*x^{3 + 1/3} = 4*x^{10/3} + 5*2*x^{10/3} = (4 + 5*2)*x^{10/3}[/tex]
[tex](4 + 10)*x^{10/3} = 14*\sqrt[3]{x^{10}}[/tex]
Where in the final step, I returned to the cubic root form.
Answer:
Step-by-step explanation: [tex]14x^{3} \sqrt[3]{x}[/tex]
Can somebody help me out for brainliest please ?
Answer:
✔️(20, 16)
✔️(15, 12) = 15 pounds of beans cost $12
Step-by-step explanation:
✔️20 pounds of beans is represented by the ordered pair, (20, 16). On the graph, when beans (x) = 20 pounds, cost (y) = $16.
✔️Also, the ordered pair (15, 12) means that 15 pounds of beans cost $12. From the graph, when beans (x) = 15 pounds, cost (y) = $12.
A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.
Answer:
y=200+3x
Step-by-step explanation:
I hope that this helps you
25 = 2c - 8.000000000000000000000
Answer:
c=33/2
Step-by-step explanation:
25+8=2c
33=2c
33/2=c
can someone help me on this please for brainliest?
A rectangle is drawn so the width is 14 inches
longer than the height. If the rectangle's
diagonal measurement is 26 inches, find the
height.
Give your answer rounded to 1 decimal place.
A rectangle is drawn so the width is 14 inches longer than the height. If the rectangle's diagonal measurement is 26 inches, the height is 10m.
Let the height is H and width is w
So w= 14+H
And diagonal is 26
So if diagonal is d
d^2 = w^2 + H^2 = 26^2
So (14+H)^2 +H^2 = 676
196 +2H^2+28H = 676
H^2+14H-240 = 0
H^2+24H-10H -240 = 0
H(H+24) -10(H+24) = 0
So H =10,-24
So only H = 10m is possible.
So height is 10 m
A diagonal is a line segment that connects two polygonal corners (vertexes), although it is not an edge (side). In other words, it connects any two polygonal vertices that are not neighboring. In a polygon, a diagonal is created by directly connecting any two vertices that are not connected by a side.
To learn more about diagonal visit:https://brainly.com/question/12274248
#SPJ1
The equation a=180(n-2)/n represents the angle measures, a, ina regular n- sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a-180. What is the numerator of the fraction?
Answer:
-360
Step-by-step explanation:
Given:
[tex] a = \frac{180(n - 2)}{n} [/tex]
Solve for n. Multiply both sides by n
[tex] a*n = \frac{180(n - 2)}{n}*n [/tex]
[tex] an = 180(n - 2) [/tex]
Apply the distributive property
[tex] an = 180n - 360 [/tex]
Subtract 180n from both sides
[tex] an - 180n = - 360 [/tex]
Factor out n
[tex] n(a - 180) = - 360 [/tex]
Divide both sides by (a - 180)
[tex] n = \frac{-360}{a - 180} [/tex]
Therefore, the numerator of the fraction that n is equal to is -360
