Answer:
Cone A, Cone C, Cone B
Step-by-step explanation:
The volume of a cone is V=πr^2h/3 where V represents the volume, r represents the radius, and h represents the height.
That means the volume of cone A would be:
V = π * 5^2 * 6/3
V = π * 25 * 2
V = 50π
And the volume of Cone B would be:
V = π * 7^2 * 4/3
V = π * 49 * 4/3
V = 65.33π (about)
Lastly, the volume of Cone C would be:
V = π * 6^2 * 5/3
V = π * 36 * 5/3
V = 60π
65.33π > 60π > 50π
Therefore, Cone B has the largest volume, then Cone C, and, lastly, Cone A.
Activity
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms? In this activity, you’ll work through this pom-pom problem step by step.
Part E
Now solve for w, b, and r for a pair of pom-poms using the total number of strands you found in part D. Solve three proportions similar to the work you did in Part B. Show your calculations.
Answer:
w: 56
b: 40
r: 64
Step-by-step explanation:
A pair of pom-poms need: 80 × 2 = 160 (strands)
To make a pair of pom-poms:
w: 160 × 35% = 56 (strands)
b: 160 × 25% = 40 (strands)
r: 160 × 40% = 64 (strands)
28 white, 20 blue and 32 red strands are needed to make a pair of pom-poms.
What is percentage?Percentage is defined as ratio expressed as a fraction of 100.
Given that, total Strands = 80
∵white strands = 35%
w = 35%×80 =
w= 35/100×80
w = 28
∵blue strands = 25%
b = 25%× 80
b = 25/100× 80
b = 20
∵red strands = 40%
r = 40%× 80
r = 40/100× 80
r = 32
Thus, 28 white, 20 blue and 32 red strands are needed to make a pair of pom-poms.
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Which statement is true about the ranges for the box plots?
A number line goes from 0 to 16. Morning's whiskers range from 3 to 15, and the box ranges from 5 to 12. A line divides the box at 8. Afternoon's whiskers range from 4 to 16, and the box ranges from 8 to 15. A line divides the box at 14.
The range of the Morning box plot is the same as the range of the Afternoon box plot.
The range of the Morning box plot is 1 less than the range of the Afternoon box plot.
The range of the Morning box plot is 1 more than the range of the Afternoon box plot.
The range of the Morning box plot is 2 less than the range of the Afternoon box plot
Answer:
The range of the Morning box plot is the same as the range of the Afternoon box plot.
Step-by-step explanation:
Data provided in the question
Number line = 0 to 16
Morning whiskers range = 3 to 15
Box range = 5 to 12
Line divided = 8
Afternoon whiskers range = 4 to 16
Box range = 8 to 15
Line divided = 14
Based on the above information,
The morning whiskers range difference is
= 12 - 5
= 7
And, the afternoon whiskers range difference is
= 15 - 8
= 7
Therefore the first option is correct
Answer: A. The range of the Morning box plot is the same as the range of the Afternoon box plot.
The probability of hitting a target is 3/4. What is the probability of hitting the target exactly once in four tries
Answer:
B
Step-by-step explanation:
Amusement Park Buildings Part 1 There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t know the specific dimensions, you do know the relationships between the sides. The first is the rectangular gift shop. You know that the length will be 20x+24 feet and the width will be 36x-20 feet. 1. Write the expression that represents the area of the gift shop, in terms of x. 2. Write the expression that represents the perimeter of the gift shop, in terms of x. 3. If the perimeter is going to be 176 feet, what are the dimensions of the building? Part 2 The next building is the gazebo that will be in the shape of a regular hexagon. (What does regular mean?) Each side will be 5x + 21 4. Write the expression that represents the perimeter of the gazebo, in terms of x. 5. If the perimeter is going to be 36 feet, what are the dimensions of the building?
Answer:
1. 56x - 480
2. 40x + 80
3. LENGTH = 72 feet, WIDTH = 66.4 feet
part 2: Regular means that all sides and angles are the same length
4. 6x
5. 216 feet
Step-by-step explanation:
(20x + 24) * (36x - 20)
56x - 480
2(20x + 24) + 2(36x - 20)
40x + 48 + 72 - 40
40x + 80
176 = 40x + 80
176 - 80 = 40x + 80 - 80
96 = 40x
96 / 40 = 40x / 40
2.4 = x
(20(2.4) + 24)
(36(2.4) - 20)
6(36)
Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
24
Answer:
Option D.
The discriminat is equal to 24 which
Step-by-step explanation:
The quadratic equation is
-2x² + 3 = 0
Discriminat in quadratic equation tells us the number of solution a quadratic equation has.
For example, the quadratic equation
Ax² + bx + c = 0 will have a discriminat of b² - 4ac.
b² - 4ac is equal to the value of the discriminat and equal to the number of solutions the quadratic equation has.
In our question, we have -2x² + 3 = 0
A = -2
B = 0
C = 3
b² - 4ac = 0
Substitute the values into the above equation.
0² - 4(-2 ×3) = 0
0 + -4 × -6 = 0
24 = 0
The discriminat of the equation is 24
Answer
A.) 2
Step-by-step explanation:
Edge 2021
Predict the length of the third side of a triangle whose known sides are lengths:
4.) 4 ft, 11 ft
5.) 23 cm, 34 cm
--------------------------------------------------------------------------------------------------------
3.Tyler thinks that this figure has enough information to figure out the values of a and b
THE THIRD PICTURE IS FOR THIS QUESTION ^
thank you!
Answer:
For the second shape the answer is x=6 degrees
Step-by-step explanation:
180 degrees is the total supplementary angle. 180-148=12. Then you divide 12 by 2 to get 6 because there is to sides of the angles.
which choice is equivalent to the expression below?
Any one good with proportion
Answer:
4. No
5. No
6. No
7. No
8. No
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 135
Step-by-step explanation:
4. 12 : 25 and 6 : 13 are NOT equal. NO.
5. 64 : 120 = 8 : 15 and 60 : 100 = 3 : 5. NOT equal. NO
6. 37 : 115 and 296 : 966 = 148 : 483. NOT equal. NO
7. 300 : 200 = 3 : 2 and 6 : 5 are NOT equal. NO.
8. 8 : 10 = 4 : 5 and 11 : 14 are NOT equal. NO.
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 1135
find the area of the isosceles triangle
Answer:
60
Step-by-step explanation:
→Before you use the formula to find the area of the isosceles triangle, you must find the height, and to do this, you can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
→We are given the hypotenuse, "c," as 13, and the leg is 5 (we split the base of 10 in half).
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
→Subtract 25 from both sides:
[tex]b^2=144[/tex]
→To get "b," by itself, take the square root of both sides:
[tex]\sqrt{b^2} =\sqrt{144}[/tex]
[tex]b = 12[/tex]
→Formula for area:
A = [tex]\frac{bh}{2}[/tex]
A = [tex]\frac{(10)(12)}{2}[/tex]
A = 60
The area of the isosceles triangle is 60 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
The area is calculated by having the height of the triangle and the base of the triangle.
The height is calculated by using the Pythagorean theorem.
H² = P² + B²
13² = P² + 5²
P² = 169 - 25 = 144
P = √144 = 12 units
The perpendicular is the height of the triangle.
The area is calculated as:-
A = ( 1 / 2 ) x B x H
A = ( 1 / 2 ) x 10 x 12
A = 60 square units.
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I’m confused on how to verify the answer
Answer:
Step-by-step explanation:
all i know is how to get the original answer not the verified sorry
Answer:
#6- you can verify this way by plugging the value you got for x or y back into the equation. If it works, then the equation will be true.
By graphing- The solution on the graph is where the 2 lines will intersect. Find the coordinates of the intersection point and see if your answer has the same x and y values, if so, it is correct.
Find the measure of each interior angle of a regular octagon
just bought some yeezys for $80. she used a 15% off coupon. how much did she pay?
Answer:
$68.00 (Ignoring tax)
Step-by-step explanation:
80 x 0.15 = 12
80-12=68
If 15/25 = x/100, then x=
Answer
x= 60
Step-by-step explanation:
100/25= 4
25*4 =100
15*4 = x
x= 60
Answer:
60
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Which equation can be used to find the unknown length, a, in this triangle? a² + 15² = 17² 15² + 17²= a² a² + 15 = 17² a + 15² = 17²
Answer:
a^2 + 15^2 = 17^2
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 =c^2
where a and b are the legs and c is the hypotenuse
a^2 + 15^2 = 17^2
Answer:
Answer is A
Step-by-step explanation:
its what the guy above me is saying
A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?
y=-4x+8
y=-2x + 6
y=-3x+2
y = 2x + 2
Answer:
y = 4
Step-by-step explanation:
The two given points both have the same y-value, so the line through them is a horizontal line. None of the answer choices is correct for the points given here.
a^4 x b^3 (a^5xb^2) What is this simplified?
Answer:
a^9b^5x^2
I think that is right
Question:
[tex]a^{4}*b^{3}*(a^{5}*b^{2}[/tex][tex])[/tex]
Answer:
[tex]a^{9}b^{5}[/tex]
Step-by-step explanation:
remove brackets:
[tex]a^{4}b^{3}a^{5}b^{2}[/tex]
Simplify:
[tex]a^{9}b^{5}[/tex]
Whichever of the following terms best describes the expression below a:b?
Answer:
ratio
Step-by-step explanation:
Sign " : " is called Colon it represents the ratio, which is an ordered pair of a & b (b =! 0) which is a/b, represent as a:b.
How do you calculate a ratio?The ratio is comparison of two quantities, usually by dividing them. By comparing one data point (A) to another data point (B), the formula would be A/B. This means you are dividing information A by information B.
What type of data is ratio?Ratio data is a form of numeric data. It measures variables on a continuous scale, with an equal distance between adjacent values.
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What is the simplified form of 12x. 900x2y4z6 ?
PLEASE HELP!!!
Answer:
the answer is D (the last one)
Step-by-step explanation:
9. Substitute x= 3 into the expression 3x+1
32.50 divided by 64 please answer ASAP!
Which graph of ordered pairs shows a proportional relationship?
On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted.
On a coordinate plane, points (negative 2, negative 2) and (1, 3) are plotted.
On a coordinate plane, points (negative 2, 1) and (1, negative 2) are plotted.
On a coordinate plane, points (2, 1) and (4, 3) are plotted.
Answer:
On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted
Step-by-step explanation:
In the choice shown above, y/x has the same ratio for both points. That is the hallmark of a proportional relationship.
Answer:
A
Step-by-step explanation:
You are given a sequence of thirteen terms, each an integer, such that the fourth term is 17 and the eighth term is 29. You are also given that the sum of any three consecutive terms in the sequence is the same and that the sum of the thirteen terms is 217. What is the sequence? Someone pllzzzz help
Answer:
Step-by-step explanation:
Let the sequence as :
[tex]T_1, T_2, T_3, 17, T_5, T_6,......T_{13}[/tex]
I put 17 there as [tex]T_4[/tex] because I want 3 consecutive elements. Let A is the sum of them.
[tex]T_1+T_2+T_3 = A[/tex]
17
[tex]T_5+T_6+T_7 = A[/tex]
[tex]T_8+T_9+T_{10} = A[/tex]
[tex]T_{11}+T_{12}+T_{13}=A[/tex]
[tex]\sum T_i + 17 = 217 = 4A + 17[/tex]
Hence A = 50
Then, back to the condition
[tex]T_4+ T_5 + T_6 = A = 50[/tex]
[tex]T_5+T_6+T_7 = A = 50[/tex]
Subtract them, we get
[tex]T_4 - T_7 = 0[/tex]
That gives you
[tex]T_4 = T_7 = 17[/tex]
Do the same with other groups.
Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid: What set of transformations is performed on ABCD to form A′B′C′D′? A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygonABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygonA prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5. A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin
Answer:
A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
Step-by-step explanation:
The transformation of coordinates for figure ABCD ⇒ A'B'C'D' is ...
(x, y) ⇒ (-y-1, x)
__
We know the transformation ...
(x, y) ⇒ (-y, x)
represents a CCW rotation by 90°. And the transformation ...
(x, y) ⇒ (x-1, y)
represents a translation 1 unit left.
Combined, the rotation and translation produce the transformation described above. This figure has undergone ...
a 90° CCW rotation about the origin, followed by a translation 1 unit left.
Plz help me Im stuck
Answer:
Step-by-step explanation:
Answer:
The answer is simple the slope is in the drop box
Step-by-step explanation:
What's the area and the perimeter of rectangle ABDC shown in the coordinate plane? answers : A) Area = 24 square units; perimeter = 32 units B) Area = 32 square units; perimeter = 24 units C) Area = 24 units; perimeter = 32 square units D) Area = 32 units; perimeter = 24 square units
Area of rectangle ABCD is, 32 units²
And, Perimeter of rectangle is, 24 units
We have to given that,
A rectangle ABCD is shown in image.
And, Coordinates are,
A = (- 5, 5)
B = (- 1, 5)
C = (- 5, - 3)
D = (- 1, - 3)
Now, We can use the distance formula for finding the length and width of rectangle.
Lenght (AC) = √(- 5 + 5)² + (5 + 3)²
AC = √8²
AC = 8
Width (AB) = √(- 5 + 1)² + (5 - 5)²
AB = √16
AB = 4
Therefore, Area of rectangle ABCD is,
Area = Length × Width
Area = 8 × 4 = 32 units²
Perimeter of rectangle is,
P = 2 (Length + Width)
P = 2 (8 + 4)
P = 2 × 12
P = 24 Units
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What are the vertex and x-intercepts of the graph of y= x2 - 6x - 7?Select
one answer for the vertex and one for the x-intercepts.
A. x-intercepts: (1,0), (7,0)
B. Vertex: (3,-16)
C.Vertex: (-3,20)
D. Vertex: (3, 20)
E. x-intercepts: (-1,0). (7.0)
F. x-intercepts: (1.0), (-7,0)
The vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.
What are vertex and [tex]x-[/tex]intercepts of the graph?A vertex in a quadratic equation is the minimum or maximum point of the equation and an [tex]x-[/tex]intercept of a graph is the point at which the graph intersects the [tex]x-[/tex]axis.
Vertex form, [tex]y=a(x-h)^2+k[/tex]
We have,
[tex]y= x^2 - 6x - 7[/tex]
Now,
Find the [tex]x-[/tex]intercept and to find [tex]x-[/tex]intercept put [tex]y=0[/tex] ;
i.e. [tex]y= x^2 - 6x - 7[/tex]
[tex]0= x^2 - 6x - 7[/tex]
[tex]x^2 - 6x - 7=0[/tex]
Now using Mid-term split method find value of [tex]x[/tex];
[tex]x^2 - 7x+1x - 7=0[/tex]
[tex]x(x - 7)+1(x - 7)=0[/tex]
[tex](x - 7)(x +1)=0[/tex]
[tex](x - 7)=0[/tex]⇒[tex]x=7[/tex]
[tex](x +1)=0[/tex]⇒[tex]x=-1[/tex]
So, these are the [tex]x-[/tex]intercept [tex](7,-1)[/tex] of the expression.
Now find the vertex using the above given formula;
[tex]y=a(x-h)^2+k[/tex]
Rewrite in vertex form
[tex]y= x^2 - 6x - 7[/tex]
Add and subtract [tex](-3)^2[/tex] in given expression;
[tex]y= x^2 - 6x + (-3)^2 -7 - (-3)^2[/tex]
[tex]y = x^2 - 6x + 9 -7 - 9[/tex]
[tex]y = x^2 - 6x + 9 -16[/tex]
Now convert quadratic part of equation in [tex](a-b)^2[/tex];
[tex]y = (x-3)^2-16[/tex]
Now compare it with [tex]y=a(x-h)^2+k[/tex]
We get, [tex]h=3,\ k=-16[/tex]
So, these are the vertex [tex](3,-16)[/tex] of expression.
Hence, we can say that the vertex and [tex]x-[/tex]intercepts of the graph of [tex]y= x^2 - 6x - 7[/tex] will be [tex](3,-16)[/tex] and [tex](7,-1)[/tex], respectively.
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Find the value of X in the triangle shown below
Answer:
D
Step-by-step explanation:
2^2 + x^2 = 4^2
4 + x^2 = 16
16-4=12
A circle has a radius of \blue{10}10start color #6495ed, 10, end color #6495ed. An arc in this circle has a central angle of 72^\circ72 ∘ 72, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
pi pi pi pi
Step-by-step explanation:
The arc length covered by the central angle equal to 72° is 12.56°
What are arc length?Arc length is the distance between two points along a section of a curve.
Given that, a circle with radius 10 units and a central angle equals 72°, we need to find the arc length covered by the central angle = 72°
We know that,
Arc length = 2π × radius × (θ / 360°), where θ is the central angle
Arc length = 2 × 3.14 × 10 × 72°/360°
= 12.56°
Hence, the arc length covered by the central angle equal 72° is 12.56°
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The complete question is attached
A voter polling research group determined that 30% of the voters in a county would vote for the democratic candidate with a ±4% margin of error. If they anticipate only 12,000 people will turn out to vote in this election, which would represent the lowest possible number of voters for the democratic candidate.
Answer:
Minimum number of voters for the democratic candidate would be 3120 voters.
Step-by-step explanation:
Total number of people turning out to vote = 12,000
Percentage of votes a democratic would get = 30%
Which means that it is expected that a democratic candidate will get: 30/100 · 12,000 = 3600 votes
However, the polling may have an error of +4% to -4%
Which means that the votes a democratic candidate will get will range from 30%+4% = 34% to 30%-4%= 26% of the total people who turn out to vote
Minimum number of voters can be determined by taking 26% of the total people who turn out to vote:
Minimum number of votes = 26/100 · 12,000 = 3120
yooooyooyoyyoyoyoyoyo I neeed help plz someone
Answer:
13, 14
Step-by-step explanation:
Solve the inequality, that is
Given
x + 2x + 6 < 50, that is
3x + 6 < 50 ( subtract 6 from both sides )
3x < 44 ( divide both sides by 3 )
x < 14 [tex]\frac{2}{3}[/tex]
The values in the set that are less than this value are 13 and 14
