[tex] \huge \mathrm {➢ \: \: \: \: Answer }[/tex]
The above figure consists of three different shapes, that is :
A hemisphereA Cylinder A ConeLet's solve for surface area of whole figure :
1. Curved surface area of hemisphere : -
radius (r) = 4 m[tex] \large \boxed{ \boxed{2\pi {r }^{2} }}[/tex]
[tex]➢ \: \: 2 \times 3.14 \times 4 \times 4[/tex]
[tex]➢ \: \: 100.48 \: m {}^{2} [/tex]
2. lateral surface area of Cylinder : -
radius (r) = 4 mheight (h) = 10 m[tex] \large \boxed {\boxed{2\pi rh}}[/tex]
[tex]➢ \: \: 2 \times 3.14 \times 4 \times 10[/tex]
[tex]➢ \: \: 251.2 \: { m}^{2} [/tex]
3. curved surface area of cone :
radius (r) = 4 mheight of cone (h') = 3 m.[tex]slant \: height = \sqrt{4 {}^{2} + 3 {}^{2} } [/tex]
(by Pythagoras theorem)
[tex] \large \boxed { \boxed{c.s.a = \pi rl}}[/tex]
[tex]➢ \: \: 3.14 \times 4 \times 5[/tex]
[tex]62.8 \: m {}^{2} [/tex]
Surface area of the figure :
[tex]➢ \: \: 100.48 + 251.2 + 62.8[/tex]
[tex]➢ \: \: 414.48 \: \: m {}^{2} [/tex]
[tex]➢ \: \: 414.5 \: m {}^{2} \: \: \: (approx)[/tex]
Now, let's solve for volume :
Volume of given figure will be combined volume of the all three shapes,
1. Volume of hemisphere :
[tex] \boxed{ \boxed{\dfrac{2}{3} \pi {r}^{3} }}[/tex]
[tex]➢ \: \: \dfrac{2}{3} \times 3.14 \times 4 \times 4 \times 4[/tex]
[tex]➢ \: \: 133.97 \: \: { m}^{3} [/tex]
2. Volume of Cylinder :
[tex] \large\boxed{ \boxed{ \pi{r}^{2}h }}[/tex]
[tex]➢ \: \: 3.14 \times 4 \times 4 \times 10[/tex]
[tex]➢ \: \: 502.4 \: m {}^{3} [/tex]
3. Volume of cone :
height of cone (h') = 3 m[tex] \large \boxed {\boxed{ \frac{1}{3} \pi {r}^{2}h' }}[/tex]
[tex]➢ \: \: \dfrac{1}{ 3} \times 3.14 \times 4 \times 4 \times 3[/tex]
[tex]➢ \: \: 50.24 \: {m}^{3} [/tex]
The total volume of the given figure :
[tex]➢ \: \: 133.97 + 502.4 + 50.24[/tex]
[tex]➢ \: \: 686.61 \: {m}^{3} [/tex]
or
[tex]➢ \: \: 686.6 \: \: m {}^{3} \: \: \: (approx)[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
A rectangle has an area of 48 square feet and a perimeter of 32 feet. Which of the following could be its dimensions?
12 ft and 4 ft
6 ft and 8 ft
2 ft and 24 ft
3 ft and 16 ft
Answer:
12 feet and 4 feet
Step-by-step explanation:
12 times 4 is 48
and the perimeter is 12 times 2 and 4 times 2 which is 32
hope this helped :D
What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Y= -6/5x + 10
Y= -6/5x + 12
Y= -5/6x - 10
Y= 5/6x - 12
Answer:
Option D (y = 5/6x -12).
Step-by-step explanation:
Hey there!
The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].
According to the question, the first line passes through point (12,6) and (0,-4).
So,
[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]
[tex]or \: m1 = \frac{5}{6} [/tex]
Therefore, the slope of the line is 5/6.
Now as per the condition of parallel lines, m1 =m2 = 5/6.
So, keeping the value of m2 in equation (i), we get;
(y+2) = 5/6(x-12)
[tex]y + 2 = \frac{5}{6} x - 10[/tex]
or, y = 5/6x - 12.
Therefore, the required equation is y = 5/6 X - 12.
Hope it helps!
Name the figure. Write the area formula. Fill in the area formula. PLEASE HELP ME ON THIS AND MY OTHER QUESTION!!!!
Answer:
name=circle area= 2 x pi x 6square
Step-by-step explanation:
Answer:
Step-by-step explanation:
Name of a figure=circle
radius=diameter/2
=12/2
=6
area=πr^2
=3.14*(6)^2
=3.14*36
=113.04 in^2
with a diameter of about 64 inches. What is the circumference of this large front wheel?
What are the vertices of triangle A'B'C' if triangle ABC is dilated by a scale factor of 1/4
A ' (4,0)
B ' (6,3)
C ' (3,4)
================================================
Explanation:
I'm assuming the center of dilation is the origin.
If so, then we multiply the scale factor 1/4 = 0.25 by each of the coordinates of the three points.
Point A(16,0) will move to A ' (4,0) since
16*0.25 = 40*0.25 = 0Point B(24,12) will move to B ' (6,3) since
24*0.25 = 612*0.25 = 3We have enough information to see that choice B is the final answer
If you wanted to keep going, then point C(12,16) will move to C ' (3,4) for similar reasoning/steps as the previous two points.
The resulting image triangle A'B'C' will have its side lengths 1/4 of that compared to the side lengths of the preimage triangle ABC.
The scale factor k is such that 0 < k < 1, which indicates the image will be smaller compared to the preimage. If k > 1, then the image would have been larger than the preimage.
Can someone please be generous & help
slope intercept y= 10x-82
point slope y + 2 = 10 (x − 8)
A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent?
What is the price per ounce, rounded to the nearest cent? $0.29.
its $3.41 (d) because if you around 4 it will be 3 (im rlly bad at explaing stuff im sorry >-<)
PLEASE I REALLY NEED HELP I ONLY HAVE AN HOUR LEFT TO FIINISH THIS What is the relationship or pattern you see between the month and the daylight hours?
Answer:
T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.
Step-by-step explanation:
Help
Will
Give
Brainlist
Answer:
1st answer
Step-by-step explanation:
The smaller rectangle is a 12 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of the scaled figure. PLEASE HELP
Answer:
L 1= 18 , W 1= 14 , A 1=252
Step-by-step explanation:
(L 36\2=18)
(W 28\2=14)
(A 1,008\4=252)
write an equation in slope intercept form given m: m=-3/5 and b=-3
Step-by-step explanation:
Y=kx+b
If m=1/k
Y=-5/3x+b
I don't know what your m means
So I can only write like this.
1.What is the measure of each angle of an equilateral triangle? 2. Why is it the measure of each angle? please help
Answer:
1. 60°
2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.
180 ÷ 3 = 60°
pleassssssssssssssssssssss help marking as brainlist
Answer:
C. 32 3/8
Step-by-step explanation:
First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.
Answer:
it would be choice 3
3⅜
Step-by-step explanation:
hope it helps you :)
Which graph represents the function y - 3 = 3/2(x – 4)?
What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.
Refer to the attachment...
Since the line is parallel to the given equation , slope of required line = slope of the given equation of line
slope = -1/2
What is the domain of the function f(x)=-2x(x-1)(x-2)
Answer:
all real values
Step-by-step explanation:
there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.
The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle
Answer:
2*(5x+4) + 2*(3x+2)
= 10x + 8 + 6x + 2
= 16x + 10
The perimeter of the rectangle, in feet, is represented by (16x + 10)
Answer:
(16x + 12) ft
Step-by-step explanation:
Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2
Perimeter of the rectangle = (16x + 12) ft
How can I solve for y and what is the answer
Answer:
y = 38
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the angles in the large outer triangle, then
x + 46 + 78 = 180
x + 124 = 180 ( subtract 124 from both sides )
x = 56
Consider the 3 angles in the smaller inner triangle, then
y + x + 86 = 180 , that is
y + 56 + 86 = 180
y + 142 = 180 ( subtract 142 from both sides )
y = 38
The speed of the water in a whirlpoil varies inversely with the radius. if the water speed is 2.5 feet per second at a radius of 30 feet what js the speed of the water at a radius of 3 feet?
Answer:
25 feet per second.
Step-by-step explanation:
Let s represent the speed of the water and r represent the radius of the whirlpool.
The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:
[tex]\displaystyle s=\frac{k}{r}[/tex]
Where k is the constant of variation.
We know that the speed is 2.5 feet per second when the radius is 30 feet.
So, s = 2.5 when r = 30. Substitute:
[tex]\displaystyle 2.5=\frac{k}{30}[/tex]
Solve for k:
[tex]k=30(2.5)=75[/tex]
So, our equation is:
[tex]\displaystyle s=\frac{75}{r}[/tex]
Then when the radius is three feet, r = 3. Evaluate for s:
[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]
So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.
What is the value of h in the equation 2h + 5 = 11?
Answer:
3
Step-by-step explanation:
2h+5=11
2h=11-5
2h=6
Both side divided by 2
h=6
Answer:
h = 3
Step-by-step explanation:
2h + 5 = 11
2h + 5 - 5 = 11 - 5
2h = 6
2h ÷ 2 = 6 ÷ 2
h = 3
How many times does the company expect the album to be downloaded in the 11th month?
What is the value of Z?
Answer:
2
Step-by-step explanation:
2(z)+2 = 4
2z = 2 x 2 = 4
Which relation is a function?
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.
Let's analyze each option:
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.
To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.
Option C is correct answer
For more question function
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The middle school is 2.72 kilometers from Marsha's house and 1.54 kilometers from Ryan's house. How much farther does Marsha live from the middle school than Ryan? Group of answer choices
Answer:
1.18 kilometers
Step-by-step explanation:
The middle school is 2.72 kilometers from Marshal house
The school is also 1.54 kilometers away from Ryan house
Therefore the distance of Marshal house from the school can be calculated as follows
= 2.72-1.54
= 1.18 kilometers
yes or noo ? ……………..
Answer:
no
Step-by-step explanation:
A circle will fail the vertical line test, which means a vertical lines intersects two or more points. If it fails the vertical line test, it is not a function
Name two lines that contain point K. *
Answer:
sf and st
Step-by-step explanation:
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Answer:
y=9.25
Step-by-step explanation:
5x+2y=20
5(.3)+2y=20
1.5+2y=20
2y=20-1.5
2y=18.5
y=18.5/2
y=9.25
Find the whole amount in each case
32% is 64 mL.
Answer:
It's 200 ml I believe.
Step-by-step explanation:
Restaurants often slip takeout menus under Adriana's apartment door. So far, Adriana has collected 18 menus, including 2 for Thai food.
What is the probability that one of Adriana's takeout menus, selected at random, will be from a Thai restaurant?
Write your answer as a fraction or whole number.
P(Thai) =
Answer:
2/18 = 1/9
Step-by-step explanation:
She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.
2/18 = 1/9
the ratio 5cm to 3m can be written in the form 1:n
Answer:
Step-by-step explanation:
5/3=1/n(do cross multiplication)
3*1=5*n
3=5n
3/5=n
