Answer:
78.5 cm²
Step-by-step explanation:
GIVEN :-
Diameter of the circle (d) = 10 cmπ = 3.14TO FIND :-
Area of the circle (a)FORMULAES TO BE USED IN THIS QUESTION :-
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Area = \pi \times (Radius)^2[/tex]SOLUTION :-
[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]
[tex]=> Area = \pi r^2[/tex]
[tex]= 3.14 \times (5)^2[/tex]
[tex]= 3.14 \times 25[/tex]
[tex]= 78.5 \: cm^2[/tex]
Ahmad said that the volume of cone A is half the volume of cone B? Do you agree? Explain
Answer:
Yes, I agree
Step-by-step explanation:
See attachments for cone
Cone A
[tex]h = 2r[/tex]
Cone B
R = 2r
[tex]h=r[/tex]
The volume of a cone is
[tex]V = \frac{1}{3}\pi r^2h[/tex]
For cone A, we have:
[tex]V = \frac{1}{3}\pi r^2*2r[/tex]
[tex]V_A = \frac{2}{3}\pi r^3[/tex]
For cone B, we have:
[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]
[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]
[tex]V_B = \frac{4}{3}\pi r^3[/tex]
So, we have:
[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]
Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]
[tex]V_B = 2 * V_A[/tex]
Make VA the subject
[tex]V_A = \frac{1}{2}V_B[/tex]
Hence, I agree with Ahmad
Can someone help me? It's urgent and thank you!
Answer:
480,700
Step-by-step explanation:
C(25,7)
25!/(7!*(25-7)!)
15511210043330985984000000/(6402373705728000*5040)
480700
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2−4x+1
y=x−3
Answer:
(1, -2), (4, 1)
Step-by-step explanation:
Here we want to solve the system of equations:
y = x^2 - 4*x + 1
y = x - 3
First, we can see that in both parts we have isolated the variable "y", so we can just write:
x - 3 = y = x^2 - 4*x + 1 = y
removing the "y"s, we get:
x - 3 = x^2 - 4*x + 1
Now we can solve this for x
0 = x^2 - 4*x + 1 - x + 3
0 = x^2 - 5*x + 4
This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:
0 = a*x^2 + b*x + c
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
So for the case of our equation:
0 =x^2 - 5*x + 4
The solutions are given by:
[tex]x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*1*4} }{2*1} = \frac{5 \pm 3}{2}[/tex]
So the two solutions are:
x₁ = (5 + 3)/2 = 4
x₂ = (5 - 3)/2 = 1
To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:
y = x₁ - 3 = 4 - 3 = 1
Then we have one solution at (4, 1)
And for the other:
y = x₂ - 3 = 1 - 3 = -2
then the ordered pair is (1, -2)
Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:
(1, -2), (4, 1)
Find the volume of each shape, please and I will give you a lot of points
Step-by-step explanation:
1.V=LWH L is the length, W is the width and H is the height.
12×6×3=216
2.V=Ah A is the area of the base, h is the height
18×16=288
3.V=LWH L is the length, W is the width and H is the height
10×14×5=700
3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989
Answer:
311.104
010.989
Step-by-step explanation:
Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Answer:
c
Step-by-step explanation:
Find the perimeter of the figure below, in inches.
Answer:
The perimeter of the figure is 114.6
Step-by-step explanation:
If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.
Answer:
114.6
Step-by-step explanation:
just add all the sides together
(125^2 +25^2) (5^2-1) is divisible by 3
Answer:
See Below.
Step-by-step explanation:
We want to prove that the expression:
[tex](125^2+25^2)(5^2-1)[/tex]
Is divisible by three.
We can simplify the second factor:
[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]
Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.
Answer:
It is divisible by 3.
Step-by-step explanation:
(125² + 25²)(5² - 1) ÷ 3
(15625 + 625)(25 - 1) ÷ 3
(16250)(24) ÷ 3
390000 ÷ 3
130000
if A={2,3,5,7,9,10} B={2,10,12,13} then a-b is
A = {2,3,5,7,9,10}
B = {2,10,12,13}
A-B = ?
Now,
A-B = {2,3,5,7,9,10} - {2,10,12,13}
= {3,5,7,9}
I hope you understand...
Mark me as brainliest...
An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.
Answer:
Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.
so 96/120
48/60
24/30
12/15
so the answer is 12/15
The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
I'm not really sure what you're asking because there's no image.
Step-by-step explanation:
please try to reword it and maybe show a picture .
I need help understanding these it’s my school work
Answer:
I believe that
1) Isosceles, acute
3) Scalene, obtuse
5) Isosceles, right
7) Equilateral, acute
Step-by-step explanation:
This should help in the future. :)
Can someone pls help me!
Answer: y =2x-5
Work:
2x-y=5
-y=-2x+5
-1y/-1 = -2x+5/-1
y =2x-5
‼️‼️‼️‼️HELPP‼️‼️‼️‼️
Answer:
I can't see the small numbers.post it again
Step-by-step explanation:
Question 3 : enlarge each shape by the scale factor given a) enlager by scale factor -2 using (0,0) as the center of enlargement
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the shapes or their coordinates are not given.
The general explanation, however, is as follows:
To dilate a shape around the origin (i.e. (0,0)), we simply multiply the side length of the shape or the coordinates of the shapes by the scale factor.
Take for instance:
A triangle of side lengths 3,4,5 dilated around the origin by a scale factor of 2.
The new triangle will have 6, 8 and 10 as its side lengths (i.e. we multiply 3, 4 and 5 by 2).
Another instance is:
A rectangle with the following coordinates: (1,1) (4,1), (4,5) and (1,5)
When dilated around the origin by a scale factor of 2, the new rectangle will have the following coordinates: (2,2) (8,2), (8,10) and (2,10)
can you please please help me.
Answer:
yes
Step-by-step explanation:
yes
Answer:
[tex]x=22\text{ and } y=123[/tex]
Step-by-step explanation:
By definition, the interior angles of a triangle must sum to 180°. Therefore:
[tex](2x+13)+(57)+(3x)=180[/tex]
Combine like terms:
[tex]5x+70=180[/tex]
Subtract 70 from both sides:
[tex]5x=110[/tex]
And divide both sides by five. Hence:
[tex]x=22[/tex]
Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:
[tex]y+57=180[/tex]
So:
[tex]y=123[/tex]
Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:
[tex]y=(2x+13)+(3x)[/tex]
Since we've determined that x = 22:
[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]
We acquire the same answer.
Edna has a new St. Bernard puppy. He found a mud puddle on their last walk, so Edna needs to give him a bath. She buys a bottle of dog shampoo that costs $3.99. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?
Answer: 7.142857142857143
Step-by-step explanation: all you have to do is divide 28.5 by 3.99
The cost per ounce of shampoo is 7.15 ounce.
Assume that the cost per ounce of shampoo is ${x}.
Total cost of bottle of a dog shampoo is $3.99.
Amount of shampoo in the bottle is 28.5 ounces.
So, we can write the cost per ounce of shampoo as
x = 28.5/3.99
x = 7.15 ounce
The cost per ounce of shampoo is 7.15 ounce.
To solve more questions on division, visit the link below-
https://brainly.com/question/15381501
#SPJ2
classify the expression: 5x-4
Please help ASAP!!!
A rectangle is formed by placing two identical squares side by side. the area of the rectangle is 892 cm2. What is the perimeter of the square?
Answer:
288 cm^2
Step-by-step explanation:
If you have 2 congruent squares, side by side, the perimeter is 6*sidelength.
We divide 72 by 6 to find sidelength, and get 12.
We square 12 to find the area of a square, and get 144.
Multiply by 2 to find the area of the rectangle, and get 288 cm^2
3x+25=7x URGNET urgenttt
Answer:
6.25
Step-by-step explanation:
3x+25=7x
3x-7x=-25
-4x=-25
x=6.25
Don’t need to send the math or anything just need the answer will give brainliest!!!
Answer:
920
Hope that this helps!
please can you help me thanks
Answer:
Step-by-step explanation:
mode means most repeated number . here in this given data 7 is repeated maximum number of times . so mode is 7.
to find median arrange the data from ascending to descending order.
Data = 1,2,3,4,5,7,7,7,8,8
median = N + 1/2 (N means no of data )
=10 + 1/2
=11/2
=5.5
= 5th term + 6th term/2
=5+7/2
=12/2
=6
mean = sum of data / no of data
=3+7+2+4+7+5+7+1+8+8/10
=52/10
=5.2
range = largest value - smallest value
=8 - 1
=7
The product of two integers is (-112).
If one of them is (-8), find the other.
Answer:
14
Step-by-step explanation:
To find the other number , divide -112 by -8 and you will get 14.
I need a answer asapppppppp
Answer:
0.97
Step-by-step explanation:
in this case the number 1 signifies 100 percent hence
1-0.03=0.97
:))) enjoy your day
Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.
How many pieces can he cut?
Ignore the answer I put
Answer:
80
Step-by-step explanation:
Given that :
Length of rope = 16 m
Length per Piece of rope to cut = 0.2 m
The number of pieces of rope that can be cut :
Length of rope / length per piece of rope
16 / 0.2
= 80
Hence, 80 pieces of 0.2 m rope will be cut
Solve this pleaseeeee
Answer:
-4 < n ≤ 5
Step-by-step explanation:
________________
PLEASE ANSWER ASAP
expand and simplify the following:
a) (√6+√3)(√6-√3) b)(√5-√2)(√2+√5)
Answer:
[tex]{ \bf{a).}} \\ { \tt{( \sqrt{6} + \sqrt{3} )( \sqrt{6} - \sqrt{3}) }} \\ { \tt{ = ( { \sqrt{6} )}^{2} - {( \sqrt{3}) }^{2} }} \\ { \tt{ = 6 - 3}} \\ { \tt{ = 3}} \\ \\ { \bf{b).}} \\ { \tt{( \sqrt{5} - \sqrt{2})( \sqrt{2} + \sqrt{5} )}} \\ { \tt{ = ( { \sqrt{5} }^{2}) - { (\sqrt{2} }^{2}) }} \\ { \tt{ = 5 - 2}} \\ { \tt{ = 3}}[/tex]
Answer:
(6-3)(5-2)=3×3=9
Step-by-step explanation:
[tex]x ^{2} - {y}^{2} = (x - y)(x + y)[/tex]
[tex]( \sqrt{6} - \sqrt{3} )( \sqrt{6} + \sqrt{3} ) = ( { \sqrt{6} }^{2} - { \sqrt{3} }^{2} ) = 6 - 3 = 3[/tex]
Please help!
You want to buy a carpet for a room that is 15 feet wide and 18 feet long. Find the amount of carpet that you need.
what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths
Answer:
A = 301.593 ft^2
Step-by-step explanation:
The lateral area of a cylinder of radius r and height h is
A = 2πrh. This does not include the areas of the ends of the cylinder.
Here that area is A = 2(3.14159)(6 ft)(8 ft), or
A = 301.593 ft^2
The first and second steps to solve the equation 3x/5+5=20 are shown below
Answer:
The solution of the equation is:
x = 25.Step-by-step explanation:
To solve the equation:
[tex]\frac{3x}{5}+5=20[/tex]First, you must add the terms 3x/5 and 5:
[tex]\frac{3x+25}{5}=20[/tex]Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:
3x + 25 = 20 * 53x + 25 = 100Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:
3x = 100 - 253x = 75At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:
[tex]x=\frac{75}{3}[/tex]x = 25If we use this value in the original equation, we can prove if it's the correct:
[tex]\frac{3x}{5}+5=20[/tex][tex]\frac{3*25}{5}+5=20[/tex][tex]\frac{75}{5}+5=20[/tex][tex]15+5=20[/tex]20 = 20As you can see, the result x = 25 is the correct.