Answers
Answer:
x = 15, y = 4
Step-by-step explanation:
By Basic proportionality theorem, we have:
x/ 5 = 18/6
x = (18*5)/6
x = 90/6
x = 15
Again By Basic proportionality theorem, we have:
12/y = 18/6
y = (12*6)/18
y = 72/18
y = 4
Related Questions
Can someone help me with this
Answers
Answer:
D
Step-by-step explanation:
Apply rule : [tex]-(-a)=+a[/tex]
Negative times negative is positive.
The expression turns into a sum of fractions.
Pls answer will make brainlist
Answers
Answer:
D. 48 in.^2
Step-by-step explanation:
Sides DE and AB are corresponding, and the triangles are similar.
linear scale factor = k = AB/DE = 12/60 = 1/5
area square factor = k^2 = (1/5)^2 = 1/25
area of ABC = area of DEF * area scale factor = 1200 sq in * 1/25
area of ABC = 48 sq in
Answer: D. 48 in.^2
In a different plan for area codes the first digit could be any number from 3 through 6 the second digit was either 5,6,7 or 8 and the third digit could be any number except 5. With this plan how many different area codes are possible?
Answers
Answer:
144 codes are possible
Step-by-step explanation:
Okay for the first digit, we shall be selecting one out of 3,4,5,6.
Meaning we are selecting one out of four choices
The number of ways this can be done is 4C1 ways = 4 ways
For the second digit, we have 5,6,7 or 8, we are still selecting 1 out of 4 selections and the number of ways we can do this is also 4 ways
And lastly , we can choose any digit for the last number expect 5 , so from 0 to 9, we are removing 1 which means we are left with 9 choices
So the number of different area codes possible are ; 9 * 4 * 4 = 144 codes
What is the answer now in two minutes
Answers
Answer:
m<R=48.2 to the nearest tenth
Step-by-step explanation:
1. sin(m<T)=2/3
m<T=arcsin(2/3)=41.81 degrees
m<R=180-90-m<T=180-90-41.81=48.19 degrees
50 Pts!! Brainliest!! Answer ASAP, thx.
Answers
Answer:
1/625
Step-by-step explanation:
When you multiply, you add the exponents. You now have [tex]6^{-4}[/tex]. This is equivalent to [tex]\frac{1}{5^{4} }[/tex] which equals 1/625.
Answer:
1/625
Step-by-step explanation:
5^ -1 * 5^-3
The bases are the same, so we can add the exponents
5^ (-1+-3)
5^-4
We know that a^-b = 1/ a^b
1/5^4
1/625
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2. What is the lateral area of the smaller cylinder? 17.1π mm2 33.6π mm2 60π mm2 84π mm2
Answers
Answer: Step 1
Find the scale factor
we know that
If the two cylinders are similar
then
The ratio between the circumference of the larger cylinder to the circumference of the smaller cylinder is equal to the scale factor
Step 2
Find the lateral area of the smaller cylinder
we know that
If the two cylinders are similar
then
The ratio between the lateral area of the larger cylinder to the lateral area of the smaller cylinder is equal to the scale factor squared
Let
x--------> the lateral area of the larger cylinder
y-------> the lateral area of the smaller cylinder
z--------> the scale factor
In this problem we have
substitute in the formula and solve for y
therefore
the answer is
33.6π mm2
The correct option is Option D: the lateral area of the smaller cylinder is 84π mm².
What is the lateral area of the cylinder?The lateral area of the cylinder is the area of the curved surface which can be calculated by the formula given below
lateral area of the cylinder= 2πrl
where r is the radius of the cylinder and l is the length of the cylinder.
Here given that the two cylinders are similar.
The larger cylinder has base of circumference = 60π mm
As we know the circumference of base of cylinder= 2πR
⇒60π= 2πr
⇒2πR= 60π
Given the lateral area of the larger cylinder is 210π mm²
From above formula, it is clear that the lateral area of the cylinder= 2πrl
⇒ 210π = 2πrl
⇒2πRl= 210π
⇒60πl= 210π (as from above it is derived that 2πr= 60π)
⇒l= 210π/ 60π= 7/2
⇒l= 3.5 mm
the smaller cylinder has base of circumference = 24π mm
⇒ 2πr= 24π mm
then the lateral area of the smaller cylinder is= 2πrl= 24π*3.5= 84π mm²
Therefore the correct option is Option D: the lateral area of the smaller cylinder is 84π mm².
Learn more about the lateral area of the cylinder
here: https://brainly.com/question/2292413
#SPJ2
A store has been selling a certain TV for $210. If the store raised the price by 5% (of the original
price), what would be the new price?
Answers
Answer:
Step-by-step explanation:
Selling price = $210
percentage increase = 5 %
Increased amount = 5% of 210
= 0.05 * 210
= $ 10.5
New selling price = 210 + 10.5 = $ 220.50
Devi’s mother is three times as old as Devi. Five years ago, Devi’s mother was four times as old as Devi was then. Find their present ages
Answers
Answer:
Devi's present age = 15 years
Devi's Mother's present age = 45 years
Step-by-step explanation:
Let the present age of Devi be x years.
Therefore, mother's present age = 3x
Five years ago:
Devi's age = (x - 5) years
Mother's age =( 3x - 5) years
According to the given condition:
Five years ago:
Devi's mother's age = 4 times Devi's age
3x - 5 = 4( x - 5)
3x - 5 = 4x - 20
20 - 5 = 4x - 3x
15 = x
x = 15 years
3x = 3* 15 = 45 years
Hence,
Devi's present age = 15 years
Devi's Mother's present age = 45 years
Use the distributive property to remove the parentheses -5(2x-3w-6)
Answers
Answer:
15w - 10x + 30.
Step-by-step explanation:
-5(2x - 3w - 6)
= (-5 * 2x) + (-5 * -3w) + (-5 * -6)
= -10x + 15w + 30
= 15w - 10x + 30.
Hope this helps!
Answer:
[tex] - 10x + 15w + 30[/tex]Step-by-step explanation:
[tex] - 5(2x - 3w - 6)[/tex]
Multiply each term in the parentheses by -5
[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]
Calculate the product
[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]
Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]
[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]
Calculate the product
[tex] - 10x + 15w - 5 \times ( - 6)[/tex]
Multiply the numbers
[tex] - 10x + 15w + 30[/tex]
Hope this helps..
Best regards!!
Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 5/2
Answers
Answer:
The length of segment A'E' is 5 units
Explanation:
From the included graph the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A- (0, 0)
E- (0, 2)
The length of the segment AE = √((2-0)² + (0 - 0)²) = √2² = 2
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 5/2, we have;
Length of segment A'E' = 5/2 × Length of segment AE
Therefore;
Length of segment A'E' = 5/2 ×2 = 5 units.
The length of segment A'E' is 5 units.
This question is based on distance formula.The length of segment A'E' is 5 units.
Given:
Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 5/2.
From the given graph, the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;
A- (0, 0)
E- (0, 2)
The length of the segment AE = [tex]\sqrt{(2-0)^{2} +(0-0)^{2} }=\sqrt{2^{2} } =2[/tex]
When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 5/2, we have;
Length of segment A'E' = 5/2 × Length of segment AE
Therefore;
Length of segment A'E' = 5/2 ×2 = 5 units.
Therefore, the length of segment A'E' is 5 units.
For more details, please refer to this link:
https://brainly.com/question/23700761
What is the shape name
please do fast.
Answers
Answer:
[tex]\boxed{\sf Parallelogram}[/tex]
Step-by-step explanation:
A parallelogram has opposite parallel sides and it is a quadrilateral.
Answer:
This is a parallelogram
Step-by-step explanation:
This is also a quadrilateral.
Hope this helps.
Explain how to determine the following from the graph: Number of times the barnacle went beneath the water level if the boat traveled a distance of 20 m Number of meters of the 20 m trip that the barnacle was underwater
Answers
Answer:
+When the graph is below the x-axis, the barnacle is underwater.
+The graph dips below the x-axis three times between x = 0 and x = 20, so the barnacle goes underwater three times.
+Every time the barnacle goes underwater, the boat travels pi meters (one half the circumference of the wheel) before the barnacle comes back up, so the barnacle covers 3pi meters underwater between x = 0 and x = 20
Step-by-step explanation:
To determine the number of times that the times the barnacle went beneath the water level, it can be illustrated when the graph is below the x-axis.
How to illustrate the graph?It should be noted that the graph dips below the x-axis three times between x = 0 and x = 20, therefore the barnacle goes underwater three times.
Also, every time the barnacle goes underwater, the boat travels pi meters before the barnacle comes back up.
Learn more about graph on:
https://brainly.com/question/19040584
#SPJ2
– 4 = 5(p – 2)
plz help me if you know this.
Answers
Answer:
p = 6/5
Step-by-step explanation:
-4 = 5(p - 2)
-4 = 5p - 10
-4 + 10 = (5p - 10) + 10
6 = 5p
6/5 = (5p)/5
6/5 = p
p = 6/5
Answer:
p = 6/5
Step-by-step explanation:
-4 = 5(p - 2) (DISTRIBUTE)
-4 = 5p - 10 (ADD 10 TO BOTH SIDES)
6 = 5p (DIVIDE BY FIVE ON BOTH SIDES)
p = 6/5
Suppose we have four integers, no two of which are congruent $\pmod 6$. Let $N$ be the product of the four integers. If $N$ is not a multiple of $6$, then what is the remainder of $N$ when $N$ is divided by $6$?
Answers
Answer:
4
Step-by-step explanation:
Given:
A, B, C, D have distinct positive values for mod 6
A (mod 6) = 1
B (mod 6) = 2
C (mod 6) = 4
D (mod 6) = 5
Each mod 6 value cannot be a zero since the product ABCD is not a multiple of 6.
Furthermore, in order that ABCD mod 6 > 0, we cannot have a residue equal to 3, else the product with a residue 2 or 4 will make the product a multiple of 6.
Thus the only positive residues can only be 1,2,4,5
A*B*C*D (mod 6) > 0 = 1*2*4*5 (mod 6) = 4
Find the value of x. Round the length to the nearest tenth.
Answers
Answer:
x=6 and x=5.1
Step-by-step explanation:
A bus traveled 40 miles during the second hour of a trip. This was 1/3 more than the distance traveled during the first hour. In the third hour the bus traveled a distance that was 1/4 more than in the second hour. What was the total distance that the bus traveled in 3 hours
Answers
Answer:
120 miles
Step-by-step explanation:
Distance in 2nd hour: 40 miles
Distance in 1st hour:
40/(4/3) = 30 miles
Distance in 3rd hour:
(5/4) * 40 = 50 miles
Total distance:
40 + 30 + 50 = 120 miles
Hey, I need help.
A school has 486 students, and this is an 8% increase from the number of students last year. How many students were in school last year?
Please also show working out, thanks :)
Answers
486 ÷ 108
4.5 x 100
450 were there last year
Answer:
The answer is 450Step-by-step explanation:
Let the original number of students be x
Since the number of students increased by 8% we add 8% to 100% making it 108%
108% of the original number of students gave us 486
So we have
108% of x = 486
108 / 100 × x = 486
Multiply through by 100
108x = 48600
Divide both sides by 108
x = 450
So the number of students in the school last year was 450
Hope this helps you
greater than (−8) but less than (−2)
Answers
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
Hey loves!!! This is my last question(for now).Please help.
Answers
Answer:
35 degrees.
Step-by-step explanation:
m < TSK = 180 - 22 - 123
= 180 - 145
= 35.
Marj needs to round 345.67, and she wants the result to be as large as possible. She has to round to the nearest thousand, the nearest hundred, the nearest ten, the nearest integer, the nearest tenth, or the nearest hundredth. What is the largest possible rounded value she can attain?
Answers
Answer:
Nearest ten
Step-by-step explanation:
Here, we want to know the highest value that can be attained if this number is rounded up to the decimal places given in the question.
The best way to go about this is rounding this number to each of the decimal places and see the one that has the largest value.
We proceed as follows;
Nearest hundred = 300
Nearest ten = 350
Nearest integer = 346
Nearest tenth = 345.7
Nearest hundredth = 345.67
It can be seen from all the above values that the highest value we have is the nearest ten
3. In the diagram, PRST and PQWV are rectangles. Q, V
and U are midpoints of PR, PU and PT respectively.
Find the area of the shaded region.
Answers
======================================================
Work Shown:
A = area of trapezoid RSTU
A = height*(base1+base2)/2
A = ST*(UT+RS)/2
A = 14*(5+10)/2
A = 105 square cm
-----------------------
B = area of rectangle PQWV
B = length*width
B = WV*PV
B = 7*2.5
B = 17.5 square cm
If you're curious how I got PV = 2.5, you basically cut PT = 10 in half twice. So you go from 10 to 5, then from 5 to 2.5; which works because we have a bunch of midpoints.
-----------------------
C = total shaded area
C = A + B
C = 105 + 17.5
C = 122.5
There were 35 students in a class. They were given math books (each priced at $0.55) and other books the total value of which was n dollars. How much money was spent to provide the students with all these books.
Answers
Answer:
$19.25
Step-by-step explanation:
Answer:
19.25+n or n+19.25 you have to add it not multiply
Step-by-step explanation:
In the figure, ABC is mapped onto XYZ by a 180° rotation. Angle B corresponds to which angle in XYZ?
Answers
Answer:
x
Step-by-step explanation:
what is the value of the exponent expression below?
Answers
Answer:
6Option C is the correct option.
Step-by-step explanation:
[tex] {36}^{ \frac{1}{2} } [/tex]
Write the number in exponential form with a base of 6
[tex] =( {6}^{2}) \: ^{ \frac{1}{2} } [/tex]
Simplify the expression by multiplying the exponents
[tex] = 6[/tex]
Hope this helps..
Best regards!!
Solve . -9 2/7(-10 3/7).
Answers
Answer:
315943/12683
Step-by-step explanation:
Well -9 2/7 * -10 3/7 is 315943/12683
Answer:
540/49
Step-by-step explanation:
Work on the brackets first: (-10✖️3/7)=-30/7
-30/7✖️2/27=-60/49
-60/49✖️-9=540/49
PLEASE HELP! 20 POINTS!!
(c) Analysts predict the share price of a new company, Hydrate Energy, to be modelled by the equation
V = 2.95 + 2log10 (10t + 1) where t is the number of years and V is the value in dollars.
(i) How much do they expect the share price to increase in value between the first and third years?
Show working
Answers
Answer:
The share price increased by $40
Step-by-step explanation:
In the first year: (t = 1)
=> V = [tex]2.95 +2log10(10(1)+1)[/tex]
=> [tex]V = 2.95 + 2 (10+1)\\V = 2.95+2(11)[/tex]
=> [tex]V = 2.95+22[/tex]
=> V = $ 24.95
In the 3rd Year: (t = 3)
=> [tex]V = 2.95 + 2log10(10(3)+1)[/tex]
=> [tex]V = 2.95+ 2(30+1)[/tex]
=> [tex]V = 2.95+2(31)[/tex]
=> V = 2.95 + 62
=> V = $64.95
The Share Price increased by:
=> $64.95-$24.95
=> $40
The share price increased by $40
Given that StartFraction D F Over P R EndFraction = StartFraction F E Over R Q EndFraction = three-halves, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?
Answers
Answer:
The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR
Step-by-step explanation:
Given DF/PR = FE/RQ = 3/2
The Side Side Side, SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar
Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.
If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.
Answer:
D: DE/PQ = 3/2
Step-by-step explanation:
Did it on edge 2020
What is the factored form of the polynomial? z2 − 10z + 25
Answers
Answer:
(z−5)(z−5)
Step-by-step explanation:
Let's factor z2−10z+25
z2−10z+25
The middle number is -10 and the last number is 25.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -10
Multiply together to get 25
Can you think of the two numbers?
Try -5 and -5:
-5+-5 = -10
-5*-5 = 25
Fill in the blanks in
(z+_)(z+_)
with -5 and -5 to get...
(z-5)(z-5)
Answer: (Z - 5) (Z - 5)
Step-by-step explanation: Just confirming what the other person wrote :)
Mrs.joshi bought a saree for Rs 1750.she sold it at a profit of 4%.what would be her profit or loss percent ?
Answers
Answer: Rs 1820
Step-by-step explanation:
This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750. Thus, simply do 1.04*1750 to get 1820.
Hope it helps <3
Fill out the following table. Do you see a pattern? Do you think this will always be true? Why or why not?
*Trolling answers will be flagged & reported, thank you.*
Answers
Answer:
Please see table completed attached
Yes, there are several patterns, since these two trigonometric functions are periodic with same periodicity, and also satisfy the Pythagorean identity for the same angle.
Step-by-step explanation:
Notice that we are asked about a table of trigonometric functions for the so called "special angles" which render values associated with half of the square root of a counting number between 0 and 4:
[tex]\frac{\sqrt{0} }{2}=0 \\\frac{\sqrt{1} }{2}=\frac{1}{2} \\\frac{\sqrt{2} }{2}\\ \frac{\sqrt{3} }{2}\\ \frac{\sqrt{4} }{2}=\frac{2}{2} =1[/tex]
These two trigonometric functions also satisfy the Pythagorean identity for any angle [tex]\theta[/tex] in the unit circle, so the equality to one will always be true:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
They are also periodic functions of period [tex]2\,\pi[/tex], so their resulting values will be repeated with that periodicity.
