Answer:
The area of circle 1 is 9 times greater than area of circle 2.
Step-by-step explanation:
Given that:
Radius of circle 1 = 12
Area of circle 1 = πr²
Area of circle 1 = [tex]3.14*(12)^2 = 3.14*144[/tex]
Area of circle 1 = 452.16
Radius of circle 2 = 4
Area of circle 2 = [tex]3.14*(4)^2 = 3.14*16[/tex]
Area of circle 2 = 50.24
Let,
x be the number of times circle 1 is bigger than circle 2.
Area circle 1 = x * Area circle 2
[tex]\frac{452.16}{50.24}=\frac{50.24x}{50.24}\\\\x=9[/tex]
Hence,
The area of circle 1 is 9 times greater than area of circle 2.
Pls helppp and thank you
Answer:
∠ 2 = 60°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles fro 180° for ∠ 2, that is
∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°
Translate the word phrase into a math expression.
11 fewer than the quotient of 2 and a number
11−(n÷2)
11−n÷2
11−(2÷n)
2÷n−11
SOMEONE PLEASE HELP IF YK GEOMETRYYY IVE ASKED THIS QUESTION 3 TIMES NOWW SO PLEASEEE HELP MEEEE
Answer: what is your question
Step-by-step explanation:
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
Would the answer be 8?
Answer:
Step-by-step explanation:
yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8
How do you write equations for horizontal and vertical lines?
Answer:
y=_
x=_
Step-by-step explanation
horizontal for y=_
vertical for x=_
What is the solution to this inequality?
-6x + 5 > -1
A: x > -1
B: X 1
D: X < -1
Step-by-step explanation:
-6x + 5 > -1
-6x > -6 (subtract 5 on both sides)
x < 1 (divide -6 on both sides, flip the sign)
Hence the answer is x < 1.
Answer:
b i hope
Step-by-step explanation:
how do i find a slope?
Answer:
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
Answer:
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run).
Step-by-step explanation:
Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?
5(9+4)
9(5)+20
5(11+4)
4(5+5)
Find the Missing side length for #8
Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KL}{PQ}[/tex] , substitute values
[tex]\frac{x}{15}[/tex] = [tex]\frac{28}{21}[/tex] ( cross- multiply )
21x = 420 ( divide both sides by 21 )
x = 20 → A
The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
Factor as the product of two binomials
36+12x+x^2
Answer:(x+6) (x+6)
(x+6)^2
Step-by-step explanation:
36+12x+x^2
x^2 +12x +36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
(x+6)^2
Khan said so:
(6+x) (6-x)
Can you please help
This is due today
I need the equation and answer
Equation/the way to do it :
Answer:
majorly confused about this and how to solve.
Answer:
The answer is 59.5
The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east
Answer:
b
Step-by-step explanation:
Answer:
4 miles west
Step-by-step explanation:
what is the volume of the rectangular prism?
Answer:
3[tex]\frac{3}{4}[/tex] cm³Step-by-step explanation:
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48. a. How do you think Jane's friend arrived at this amount?
Answer:
The discount is $8
Step-by-step explanation:
Step one
Given data
Jane paid $40 for an item after she received a 20% discount.
Required
The initial cost of the item
Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows
Let the initial cost be x
so
20% of 40
20/100*40
=0.2*40= $8
Therefore the discount is $8
hence the original price is
discount+ discounted sale(amount paid)
=8+40
=$48
5 - ( m - 4 ) = 2m + 3 ( m -1 )
Answer:
m=2
Step-by-step explanation:
4) [59, 59,59,59,100,89,80,89] Find The Median and The mode
triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle
9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
_____
Additional comment
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
Help please ASAP please I’ll mark you as brainlister
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
Solve for x:
2x + y = -2
4x + y = -8
Answer:
x = -3
Step-by-step explanation:
2x + y = -2
4x + y = -8
2x + y = - 2
y = -2x - 2
4x + y = - 8
y = -4x - 8
y = -2x - 2
y = -4x - 8
-2x - 2 = -4x - 8
4x - 2x = 2 - 8
2x = -6
2x/2 = -6/2
x = -3
To check just use da graph ;w;
The x is -3
Answer:
Step-by-step explanation:
x= −1 −y/2
x= 4 −8−y/4
Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple
Answer:
[tex]\dfrac{6x+2}5}[/tex]
Step-by-step explanation:
The given expression is :
[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]
We need to write the equivalent expression for the above expression.
Taking like terms together,
[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]
So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].
What is the simplified expression in the box by combing like terms and removing zero pairs?
-4 ( 2x+ 4) + 5
9514 1404 393
Answer:
-8x -11
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Then combine the constant terms.
-4(2x +4) +5
= -8x -16 +5
= -8x -11
[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]
[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]
[tex]\sf \longmapsto−8x+−16+5[/tex]
[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]
[tex]\sf \longmapsto−8x+−11[/tex]
[tex]\sf \longmapsto - 8x - 11[/tex]
Does the sum of -21 and 12 equal 0?
Marcos reads 3 1/2 books in 1 3/4 weeks. At this rate, how many books does Marcos read in 1 week
You are printing out information packets for your company. You will need a total of 6,400 pages to complete all of the packets. How many reams of 500 pages each will you need in order to print out all of these packets?
Answer:
13 reamsStep-by-step explanation
Given
Total number of pages to complete the packet = 6400 pages
If each ream contains 500pages, then:
Total number of reams needed = Total pages/number of pages per ream
Total number of reams needed = 6400/500
Total number of reams needed = 12.8
Hence you will need about 13 reams for all the packets
HELP!!
ASAP
Worth 10 points
Answer:
integers
Step-by-step explanation:
they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers
The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.
Answer:
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the expression
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Solving for 'm'
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Flip the equation
[tex]\frac{k}{2}\left(m+n\right)=A[/tex]
Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]
Add (-1)/2 × kn to both sides
[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]
simplify
[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]
Divide both sides by k/2
[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]
[tex]m=\frac{2A-kn}{k}[/tex]
Therefore,
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
SOMEONE PLEASEEE HELP (ILL GIVE BRAINLIST)
Answer:
the second one or B
$0.15+$40.00=$58.00
it is this because the number of mins is .15 cent each min