Please ASAP.
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Scale factor is [tex]\frac{14}{21}[/tex].
What is a scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
Given
The rectangle on the right is a scaled copy of the rectangle on the left.
[tex]\frac{42}{63}[/tex] and 15 ÷ [tex]\frac{45}{2}[/tex]
[tex]\frac{42}{63}[/tex]
Rationalizing [tex]\frac{42}{63}[/tex] by 45
= [tex]\frac{42(45)}{63(45)}[/tex]
= [tex]\frac{1890}{2835}[/tex]
15 ÷ [tex]\frac{45}{2}[/tex]
Rationalizing 15 ÷ [tex]\frac{45}{2}[/tex] by 63
= [tex]\frac{30(63)}{45(63)}[/tex]
= [tex]\frac{1890}{2835}[/tex]
If we want to find the scale factor we have to equal the proportions of two rectangles.
∴ Scale factor = [tex]\frac{1890}{2835}[/tex] = [tex]\frac{14}{21}[/tex]
Hence, scale factor is [tex]\frac{14}{21}[/tex].
Find out more information about scale factor here
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Hi I am really bad at math and need to know about fractions I HATE MATH I’m super nervous so ya if you know anything about fractions please help me!!! :)
Answer:
how to add and subtract fractions
Step-by-step explanation:
ok so we can start with adding so when you add fractions you can first start out by making the denominators the same number to make it easier so here is an example
7/9 + 3/10 you could make the denomonatiers the same or just do 9x10 and 7x10 + 3x9 and 10x9 and then if you multiply the numbers and added up all the sums you would get to fractions 70/90 + 27/90 so you add them up and science the denominators are the same you just leave them the same number so it would just be 70+27 so you would get 97/90 and because the denominator is 90 and we have 97 for the numerator 97 fits into 90 1 time with 7 left over so the whole number would be 1 and then 7/90
Step-by-step explanation:
Multiplying Fractions:
example: 2/3·2/3
multiply numerator=top number2·2=4 multiply denominator=bottom number3·3=9combine the terms..4 and 9=4/92/3·2/3=4/9Dividing Fractions:
example: 2/3*2/3
reverse second fraction thats getting divided..2/3=3/2convert into multiply symbol.2/3·3/2multiply the like terms..2/3·3/2=6/6..2/3*2/3=1 whole..Combine Fractions:
example:2/3+2/3
keep denominator and combine numerator only if denominator is the same..2+2=4combine the numerstor and denominator..4 and 3=4/32/3+2/3=1 1/3Subtract Fractions:
example:2/3-2/3
keep denominator if similar..subtract numerator..2-2=0combine numerator and denominator..0 and 3=0/32/3-2/3=0.FIND THE DIFFERENCE OF 8,328 AND 459?
Answer:
7869
Step-by-step explanation:
8,328
- 459
________
7,869
Can anyone help me with these 3 please !
I’ll mark you as a brainliest.
Answer:
72
270
600,000
I wasn't sure what this question means, but I did the math??
like are supposed to switch around the numbers..? haha...
Answer:
1. 72
2. 270
3. 600,000
hope this helps!!
Step-by-step explanation:
Viasat has a $100 setup fee and costs $65 per month. Geo Satellite has a setup fee of $30 and costs $70 per month. Write a system of equations to represent this situation. In how many months will both providers cost the same? What will that cost be?
Answer:
Step-by-step explanation:
I don’t know
Answ
i dont know
Step-by-step explanation:
Pls help fast !! Thanks
Simplify the expression 4f × 2g + 3h
A. 8fg + 3h
B. 24fgh
C. 9fgh
D. 6gf + h
Answer:
A. 8fg + 3h
Step-by-step explanation:
[tex]4f × 2g + 3h \\ \\ = 4 \times 2 \times f \times g + 3h \\ \\ = 8fg + 3h[/tex]
Step-by-step explanation:
[tex]4f \times 2g + 3h \\ = (4 \times 2)fg + 3h \\ = 8fg + 3h \\ [/tex]
Please help, thank you.
The question is in the picture
Answer:
D
Is the answer okkkkkkkkkkkkkkkk
Answer: A regular decagon has all sides of equal length and each internal angle will always be equal to 144°.
Step-by-step explanation:
The markings on the number line are evenly spaced. Label the other markings on the number line.
Answer:
A= -75
B= -60
C= -45
D= -15
E= 15
F=30
Step-by-step explanation:
Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.
Hope this helped!
It’s PreCal I just need a method to solve it
Answer:
see explanation
Step-by-step explanation:
Using the identities
tanx = [tex]\frac{sinx}{cosx}[/tex] , cotx = [tex]\frac{cosx}{sinx}[/tex]
Consider the left side
[tex]\frac{tanx}{tanx+cotx}[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{sinx}{cosx}+\frac{cosx}{sinx} }[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{sin^2x+cos^2x}{cosxsinx} }[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{1}{cosxsinx} }[/tex]
= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{cosxsinx}{1}[/tex] ← cancel cosx on numerator/ denominator
= sin²x
= right side
Histograms in mathh
I need help with it because I am clueless!
Help please it’s a grade
In a bag there are blue sweets, red sweets and yellow sweets. The number of blue sweets is four times the number of yellow sweets. The number of red sweets is half the number of yellow sweets. Find the percentage of sweets in the bag that are yellow.
Answer:
18.18%
Step-by-step explanation:
The percentage of sweets in the bag that are yellow is as follows:
Let us assume the number of yellow sweets be x
So for number of blue sweets be 4x
And, the number of red sweets be 0.5x
So it could be written as
Blue Red Yellow
4 0.5 1
8 1 2
So for yellow, the percentage is
= 2 ÷ (8 + 1 + 2)
= 2 ÷ 11
= 18.18%
HELP THIS IS DUE VERY SOONN
Answer:
A: 7
B: 84,035
Step-by-step explanation:
The population increases by 7 each time, so 12,005x7=84035.
(Side note: I'm not completely sure what the "exponential function" is but I think the answer is correct. Check over it yourself to be sure :)
Answer:
a. x plus 5 times 7
b. 84035
Step-by-step explanation:
Find the quotient-3.6 ÷ .06
answer: 60
Source: calculator
Would it be better to have a higher interest rate on a loan or on an investment? Explain.
Answer:
When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.
Step-by-step explanation:
Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?
is anybody else just really tired rn???
Answer:
yep i am very tireddddfdf
Answer:
YEAAA I'm like super tired for no reason, even though I really didn't do anything today :/
1. How would you simplify and solve this equation? What steps would you use? *
y - 3(2y - 7) = 76
Answer:
9 ..... .................
The speed of a car in mph varies directly with the speed of a car in kph. The speed of 75
mph is equivalent to 120 kph. How many kph is 45 mph?
please help asap !
Answer:
72.42 kilometers per hour
Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This number represents 60% of the school enrollment. How many students are enrolled?
Answer:
625 students
Step-by-step explanation:
joe finished his english assigments in 1/3 hours. Then he completed his chemistry assigment in 1/8 hours. What is the total amount of time joe spent doing these two assigments as a fraction in simplist form./ Aleks
HELP!!! What mistake did I make? And what would u suggest to help me???
Answer:
All the dots need to be on the line, and maybe dont add so many dots
Step-by-step explanation:
What would the area be for a circle with the diameter of 7
Answer:
The answer is 38.48
Step-by-step explanation:
Picture with explanation provided below.
Sam had 225 grams of raisins. After buying another two bags of raisins he then had
175 grams of raisins
He writes this equation where r represents number of bags of raisins to describe how
225r+2=1475
Is he correct? Explain your answer.
How many grams of raisins were in one bag?
Answer: No, he is not correct, the correct equation is:
225 + 2*r = 1475
Solving that, we can find that each bag of raisins has 625 grams of raisins.
Step-by-step explanation:
I suppose that the problem is as follows:
"Sam had 225 grams of raisins. After buying another two bags of raisins he then had 1475 grams of raisins"
Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:
2*r grams of raisings.
Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:
225 + 2*r = 1475
This is what he should get.
and we can solve it for r, to get:
2*r = 1475 - 225 = 1250
r = 1250/2 = 625
r = 625
This means that each bag of raisins has 625 grams of raisins.
But instead, he got:
225*r + 2 = 1475
In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.
if the simple answer interest on 2,000 for 10 years is 1,600, then what is the interest rate
Answer:
8%
Step-by-step explanation:
Solving our equation
r = 1600 / ( 2000 × 10 ) = 0.08
r = 0.08
converting r decimal to a percentage
R = 0.08 * 100 = 8%/year
The interest rate required to
accumulate simple interest of $ 1,600.00
from a principal of $ 2,000.00
over 10 years is 8% per year.
pls help.........with the help of pic
Answer:
Her journey by car.
Step-by-step explanation:
3/5 is more than 3/10. I hope this helps :)
Answer: 3/10 of her journey by autorikshaw.
Step-by-step explanation:
Another chance for brainliest if it correct ! Please help
Answer:
A B and C are true
Step-by-step explanation:
2. Find the vector equations of the following lines:
a. A=(6,5,7),m=2i+5j–k
b. A=(8,6,2),B=(3,4,1)
Answer:
a) The vector equation
[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]
b) The vector equation
[tex]AB^{-} = -5i^{-} -2j^{-} -k^{-}[/tex]
Step-by-step explanation:
Step(i):-
a)
Given that the points are A( 6,5,7) and B = m = 2i+5j-k
OA = 6i+5j+7k and OB = 2i+5j-k
AB = OB-OA
= 2i+5j-k - (6i+5j+7k)
= 2i -6i +5j-5j-k-7k
= [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]
b)
Given that the points are A( 8,6,2) and B = (3,4,1)
OA = 8i+6j+2k and OB = 3i+4j+k
AB = OB-OA
= 3i+4j+k -(8i+6j+2k)
= 3i -8i +4j-6j+k-2k
= [tex]-5i^{-} -2j^{-} -k^{-}[/tex]
Pls help tell me how to do it
There are 32 students in the class. Of the class 3/8 of the students bring their own lunch. How many students bring their own lunch?
PLEASE HELP ANSWER THIS ASAP!!! :)
Answer:
C, 42 degrees
Step-by-step explanation:
Considering angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.