Given:
Volume of a right circular cone = 16 cubic inches
Radius of the cone = 1.5 inches.
To find:
The height of the cone.
Solution:
The volume of a cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.
[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]
[tex]48=(3.14)(2.25)h[/tex]
[tex]48=7.065h[/tex]
Divide both sides by 7.065.
[tex]\dfrac{48}{7.065}=h[/tex]
[tex]6.794=h[/tex]
[tex]h\approx 7[/tex]
Therefore, the height of the cone is 7 inches.
Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =
Answer: it’s c
Step-by-step explanation:
Just took it and it’s correct
The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = x²
Let the second function be g ( x )
Now , the vertex of the function is at A ( -4 , -3 )
When the function is shifted left by 4 units and down by 3 units , we get
g ( x ) = ( x + 4 )² - 3
Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted
To learn more about transformation of functions click :
https://brainly.com/question/26896273
#SPJ7
You play tennis regularly with a friend, and from past experience, you believe that the
outcome of each match is independent. For any given match you have a probability of 0.6 of
winning. The probability that you lose the next two matches is
(a) 0.16
(b) 0.40
(c) 0.64
(d) 0.36
The probability that you lose the next two matches is 0.4. The correct option is B.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that you play tennis regularly with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning.
The probability that you lose the next two matches is calculated as:-
Probability = 1 - 0.6
Probability = 0.4
Therefore, the probability that you lose the next two matches is 0.4. The correct option is B.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ6
HOW DO YOU SOLVE THESE DIAMOND PATTERNS!!
54.98 in expanded form
Answer:
50 + 4 + .9 + .06
Step-by-step explanation:
The location of four buildings on a coordinate grid are as follows:
Building 1 is at (−5, −3).
Building 2 is at (−5, 5).
Building 3 is at (4, 5).
Building 4 is at (4, −3).
A bike courier begins at building 1 and then delivers packages to building 2, then building 3, and then building 4. Then she bikes back to building 1. The path between each building is a straight line. One unit on the coordinate grid equals 100 feet.
What is the total distance the courier biked?
Enter your answer in the box.
Answer:
3400 feet
Step-by-step explanation:
Distance between building 1 and building 2 = |5+3| = 8
Distance between building 2 and building 3 = |4+5| = 9
Distance between building 3 and building 4 = |-3-5| = 8
Distance between building 4 and building 1 = |4+5| = 9
total distance = 8 x 2 + 9 x 2 = 34
total distance in feet = 34 x 100 = 3400 feet
Answer: 3400 feet
Step-by-step explanation:
Which set of data points could be modeled by a line of best fit that is a decreasing linear function?
A. {(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}
B. {(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}
C. {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}
D. {(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}
Answer:
c I do believe
Step-by-step explanation:
can you help me with this question is the correct answer b
PLEASE HELP! with this math question
What is the lateral area of the regular pyramid if the area of the square base is 36 square cm and the slant height is 12 cm? options: 168 144 72 298
Step-by-step explanation:
Given that,
The area of the square base, A = 36 cm²
Slant height, s = 12 cm
We need to find the lateral area of the regular pyramid. The formula is :
[tex]S=A+\dfrac{1}{2}p\times s[/tex]
Where
A is the area of base
p is perimeter of base
s is slant height
Area of square, A = side²
So,
[tex]side=6\ cm[/tex]
Put values in the above formula.
[tex]S=36+\dfrac{1}{2}\times 4\times 6\times 12\\\\=36+144\\\\=180[/tex]
So, the lateral area of the regular pyramid is equal to 180 cm².
A jar contains 3 red marbles, 6 blue marbles, 5 green marbles and 6 yellow marbles. Assume there is replacement.
helppp helping my sister
Answer:87
Step-by-step explanation:
Answer:
87 (check the answer key at the back of the book)
Step-by-step explanation:
What is 67^9 × 487^2 ÷ 976??
Help me PLS :(((
Answer:
The answer would be 6.61121573 x 10^18.
Step-by-step explanation:
theres one more page
hiii please help i’ll give brainliest:)
Answer:
Row ships
Step-by-step explanation:
They helped because a lot of travel took place on the Mediterranean Sea which was a massive body of water that led to the coasts of trading locations.
Please help:(( no links please!!
The quadrilateral CONR on the coordinate plane has the following characteristics
The equations are in the photo
Answer:
A :
B : Trapezius!
............
Annabella rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that the first cube shows a one and the second one shows a one?
Pi approx A cylinder has a height of 20 yards and a diameter of 18 yards . What is its volume ? Use 3.14 and round your answer to the nearest hundredth .
Answer:
5086.8 cubic yards
Step-by-step explanation:
Given data
Height = 20yards
Diamter= 18 yards
Radius= 9 yards
The expression for the volume of a cylinder is given as
V=πr^2h
substitute
V=3.14*9^2*20
V=3.14*81*20
V=5086.8 cubic yards
If a quadrilateral is a square, then it is also a rectangle.
True or False
Answer:
i think is true because quad means 4 and a rectangle has 4 sides soooo i think i am right
Which plot correctly displays the data set with maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
Options :
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.
Answer:
A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.
Step-by-step explanation:
Given the five number summary which are all displayed on a box and whisker plot :
Maximum = 48
Minimum = 27
Median = 36
Upper Quartile = 45
Lower quartile = 32
Maximum and minimum values are displayed by the whiskers :
Starting point of whisker = minimum value
End point of whisker = maximum value
The quartiles are displayed by the box :
Starting point of the box = lower quartile
End point of the box = upper quartile
Line in between the box = Median
Brett has 100 feet of fence with which to make a rectangular cage for his dog. The area of the cage in square feet is given by the polynomial where w is the width of the cage in feet. What is the area of the cage if the width is 8 feet?
Answer:
Area of rectangle cage = 336 feet²
Step-by-step explanation:
Given:
Wire required for fencing = 100 feet
Width of rectangular cage = 8 feet
Find:
Area of rectangle cage
Computation:
Wire required for fencing = perimeter of cage
Perimeter of rectangular cage = 100 feet
2[l + b] = 100 feet
l + 8 = 50 feet
Length of rectangular cage = 42 feet
Area of rectangle cage = Length x Width
Area of rectangle cage = 42 x 8
Area of rectangle cage = 336 feet²
Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?
Answer:
x = 31°
Step-by-step explanation:
Recall ;
Supplemtary angles summ up to 180°
Given that :
ABC and DEF are Supplementary angles and hence sum up to 180°
ABC + DEF = 180°
(2x + 10) + (3x + 15) = 180
2x + 10 + 3x + 15 = 180
2x + 3x + 10 + 15 = 180°
5x + 25° = 180°
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31°
.Find -23+57 and 57+-23
PLZ ANSWER WITH FULL EXPLANATION
Answer:-23+57=34 and 57 + -23 =34
|
Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80
regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .
What is 1/2 in degrees
Answer:
180
Step-by-step explanation:
half of 360 is 180
what is the circumference of a circle with a radius of 14 centimeters
Answer:
c= πD
Step-by-step explanation:
22/7×28 =88
=88cm,
Circumference of circle = 2πr
= 2 × 22/7 × 14
= 2 × 22 × 2
= 44 × 2
= 88 cm²
Easyy!
Mhanifa can you please help me? This is due asap! Look at the picture attached. I will mark brainliest!
Answer:
1. a = 16, b = 14
2. a = 16.5, b = 23.2
3. a = 7.25, b = 6.5
4. a = 8.4, b = 20
Step-by-step explanation:
Problem One:
2a + 6 = 3a - 10
6 = a - 10
16 = a
6b - 3 = 81
6b = 84
b = 14
Problem Two:
4a - 8 + 8a - 10 = 180
12a - 18 = 180
12a = 198
a = 16.5
8(16.5) - 10 = 5b + 6
122 = 5b + 6
116 = 5b
b = 23.2
Problem Three:
5b - 7 = 3b + 6
2b - 7 = 6
2b = 13
b = 6.5
2a = 3(6.5) - 5
2a = 14.5
a = 7.25
Problem Four:
3a + 1.8 = 4a - 6.6
1.8 = a - 6.6
8.4 = a
10(b + 8) = 10(1.4b)
10b + 80 = 14b
80 = 4b
20 = b
Answer:
Properties of a parallelogram
Opposite sides and angles are congruentDiagonals bisect each otherAdjacent interior angles are supplementary#13Opposite sides
2a + 6 = 3a - 10 ⇒ 3a - 2a = 6 + 10 ⇒ a = 166b - 3 = 5*16 + 1 ⇒ 6b = 81 + 3 ⇒ b = 84/6 ⇒ b = 14#14Opposite and adjacent angles
(4a - 8) + (8a - 10)= 180 ⇒ 12a= 180 + 18 ⇒ 12a= 198 ⇒ a= 16.5°5b + 6 = 8*16.5 - 10 ⇒ 5b = 122 - 6 ⇒ 5b = 116 ⇒ b = 116/5 ⇒ b = 23.2°#15Diagonals
5b - 7 = 3b + 6 ⇒ 5b - 3b = 6 + 7 ⇒ 2b = 13 ⇒ b = 6.52a = 3*6.5 - 5 ⇒ 2a = 14.5 ⇒ a = 7.25#16Opposite sides and alternate interior angles
1.4b = b + 8 ⇒ 0.4b = 8 ⇒ b = 8/0.4 ⇒ b = 203a + 1.8 = 4a - 6.6 ⇒ 4a - 3a = 1.8 + 6.6 ⇒ a = 8.4commen denominaor for 1/4 2/3
Answer:
The least common denominator is 12.
Step-by-step explanation:
Here's how I got my answer.
First, I listed out the multiples of 4, which is the denominator of 1/4.
4: 4, 8, 12, 16
Next, I listed out the multiples of 3, which is the denominator of 2/3.
3: 3, 6, 9, 12
The smallest number they have in common is 12.
Therefore, the least common demoninator (LCM) is 12.
Someone help me pls
Step-by-step explanation:
that would be the right answer
HELP HELP HELP HELP, PLEASE QUICKLY
Step-by-step explanation:
so easy hahahahahah you are just a beginner
Number 3 only pls pls
Answer:
because g^-1 is the same g(x).
Step-by-step explanation:
The sum of two numbers is 57 and the difference is 7. What are the numbers?
Answer:
32 and 25
Step-by-step explanation:
What's the radius of the big cylinder?
Answer:
I think 56.52
Step-by-step explanation:
To find the radius you'll have to do C=2(3.14)(9)=56.52