Answers
Step-by-step explanation:
what is the problem here, what do you not understand ?
you do know fractions, and how to multiply and divide them ? because that would be a precondition for a teacher to give you such a problem to solve.
so, if you do know the handling of fractions, this is very basic and easy thing to solve.
let's get into it then :
2 similar triangles. that means all lengths of all lines in one triangle are the result of multiplying the corresponding lines in the other triangle by a constant factor.
that is the meaning of a scaling factor.
it is like on a map, where it says 1 unit on the map is that many units out there in reality.
your teacher was really nice to point out the right angles and even a second angle (37 degrees), so that we can immediately see, which side or line of one triangle corresponds to which side or line of the other.
when we imagine now to turn e.g. the smaller triangle so that it is oriented the same way as the larger one, we see that QS corresponds to LJ. and QR to LK. and RS to KJ.
so, we are going in the scaling process from left to right. that means we are starting with the larger triangle and turn it into the smaller triangle.
so, what (scaling) factor do I need to multiply with 15 to get 10 ?
it is the same factor to go also from 9 to 6 and from 12 to 8.
15×x = 10
x = 10/15 = 2/3
15 × 2/3 = 30/3 = 10
12 × 2/3 = 24/3 = 8
9 × 2/3 = 18/3 = 6
so, as you can see, 2/3 is the correct scaling factor.
Related Questions
calculate log 1.125 please
Answers
Answer:
0.05115
Step-by-step explanation:
Plug it into your calculator and you'll get the same value
Marie is reading a 271-page book. She has already read 119 pages. If she reads
at about 8 pages per hour, how long will it take her to finish the book?
Which equation helps to solve this problem?
Answers
Answer:
119+8h=271
Step-by-step explanation:
We already know she has read 119 pages out of 271. And we know the constant proportionality in this is 8 pages every hour. If we were able to find out how long it took for her, then we would add that with 119, because that, in total, will be 271/the whole book, with 152 pages of it in hours.
sorry if this doesn't make sense, if you want me to explain more on it go ahead and ask!
What is the smallest distance between the origin and a point on the graph of:y=1/sqrt(2)*(x^2-8)
Answers
f
(
x
)
=
√
x
as
y
=
√
x
.
Now, what is this "distance?" How do we find it? Well, if you think back to Algebra I or Geometry, you'll remember that the distance between two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
is given by:
√
(
y
2
−
y
1
)
2
+
(
x
2
−
x
1
)
2
. For example, the distance between the points
(
4
,
0
)
and
(
0
,
3
)
would be:
√
(
3
−
0
)
2
+
(
4
−
0
)
2
=
√
9
+
16
=
√
25
=
5
Ok, so what is
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
in our example?
(
x
1
,
y
1
)
is simple - it's just the point given in the problem,
(
4
,
0
)
. Because we don't know what
x
2
is, we'll just call it
x
for now. As for
y
2
, we don't know that either; and since
y
=
√
x
, we'll call it
√
x
.
Our formula then becomes:
√
(
√
x
−
0
)
2
+
(
x
−
4
)
2
=
√
(
√
x
2
)
+
x
2
−
8
x
+
16
=
√
x
+
x
2
−
8
x
+
16
=
√
x
2
−
7
x
+
16
We are being asked to minimize this distance, which we'll call
s
to make the following calculations easier. To minimize something, we have to take its derivative, so let's start there:
s
=
√
x
2
−
7
x
+
16
=
(
x
2
−
7
x
+
16
)
1
2
d
s
d
x
=
(
2
x
−
7
)
⋅
1
2
(
x
2
−
7
x
+
16
)
1
2
→
Using power rule and chain rule
d
s
d
x
=
2
x
−
7
2
√
x
2
−
7
x
+
16
Now we set this equal to
0
and solve for
x
:
0
=
2
x
−
7
2
√
x
2
−
7
x
+
16
0
=
2
x
−
7
x
=
7
2
This is known as the critical value, and it represents the
x
-value for which the function is minimized. All we need to do now is find the corresponding
y
-value, using the definition of
y
:
y
=
√
x
. Substituing
7
2
for
x
:
y
=
√
7
2
y
≈
1.87
And voila, the
y
-value. We can now say that the minimum distance between
f
(
x
)
=
√
x
and the point
(
4
,
0
)
(the place where these two are closest) occurs at
(
7
2
,
1.87
)
. For a little extra fun, we can use the distance formula to see what the actual distance between the points is:
s
=
√
(
1.87
−
0
)
2
+
(
7
2
−
4
)
2
≈
1.8
units
9.6 + 7.9u − 0.16 = –9.31 − 4.6u?
Answers
Answer:
u = -1.5
9.6 + 7.9(-1.5) − 0.16 = –9.31 − 4.6(-1.5)
-2.41 = -2.41
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Leslie drank 51 ounces of water in 6 hours. At this rate, how much water did Leslie drink in one hour?
Answers
Answer:
She drank 10.67 oz in one hour.
Step-by-step explanation:
You would multiply the total oz of water drank by the hours.
51 ÷ 6 = 10.6666...
Then you would round it up to 10.67.
Answer:
The correct answer is 8.5 ounces in the matter of one hour
Step-by-step explanation:
To get this answer you will need to use division.
Divide 51 with 651 divided by 6 will be 8.5 as a decimal
Therefore the correct answer is 8.5In which was being drank in the matter of one hour
B is the midpoint of AC. C is the midpoint of AD. Find the coordinates of B and D given the coordinates of A (-2,5) and the coordinates of C (8,7).
Answers
B= (3,6) and D= (18,9)
Step-by-step explanation:
To find the midpoint of two given points add X1 and X2 together, then divide by 2 to get the X value of the midpoint and do the same thing for the Y value. That will get you B. From there you can see to get from point A to point C you add 10 to the x value and add 2 to the y value. Because C is the midpoint just double what you had to add to get point D (add 20 to x and add 4 to y)
literally the only question I'm struggling to understand rn...i hate puzzles :C.
Answers
Answer:
It's 2 4 7
Step-by-step explanation:
The first column says "one number is correct and well placed," so it's number two, because the third column says "One number is correct but incorrectly placed," which means number 2 is in the same place, and number 4 is in the last, but the fourth column says "Two numbers are correct but incorrectly placed," means 4 and 7 are in the first and second columns, but supposed to be in the 2nd and 3rd place, respectively. As a result, it's 2, 4, 7, and I hope you understand because I'm terrible at explaining things.
Can someone help me I’m doing a khan academy and need help ASAP marking brainliest
Answers
Answer:
x = 180 - 89 = 91
Step-by-step explanation:
5n + 34 = -2 ( 1 - 7n)
this is due by midnight.
NO LINKS PLEASE!
Answers
Answer :
n = 4
Step-by-step explanation:
5n + 34 = -2(1-7n)
first distribute
5n + 34 = -2(1) -2(-7n)
5n + 34 = -2+14n
-5n
+2
then get all of n to the same side
36 = 9n
isolate the variable
36/9 = 9n/9
4 = n
Answer:
n=4
Step-by-step explanation:
Hi there!
We are given the following equation:
5n + 34 = -2(1-7n)
And we want to solve it for n
To do that, we want to isolate n (also written as 1n) on on side by itself.
In this equation, on the right side, we have -2(1-7n), which is in the way. We'll need to open it up.
In order to open up the parenthesis, we'll need to do the distributive property, where we will multiply -2 to both 1 and -7n, then add them together.
-2(1-7n)=-2+14n
That's for the right side.
The equation now looks like this:
5n + 34 = -2 + 14n
Remember that we will be trying to isolate n on one side
Subtract 5n from both sides to remove it from the left side:
5n + 34 = -2 + 14n
-5n -5n
__________________
34 = -2 + 9n
Add 2 to both sides to remove it from the right side:
34 = -2 + 9n
+2 +2
______________
36 = 9n
Now, we have numbers on one side and variables on the other, but we're not done yet, since remember; we want just n (or 1n), not 9n. We need to divide both sides by a number that will result in 1n
If we divide a number by itself, then the result is 1
So we should divide both sides by 9
4 = 1n, also written as 4=n , or n=4
Hope this helps!
Wrong and silly answer will be reported .
Answers
I HOPE IT WILL HELP YOU.
Thank you.
The basketball court in the park is rectangular two of the size of 84 feet long and the other two sides of 50 feet long what is the permit perimeter of the basketball
Answers
Answer:
8400
Step-by-step explanation:
84 x 50= 4200
84 x 50 = 4200
4200+4200= 8400
Homework Progress
579 Marks
Aplo of sand has a weight of 90 kg.
The sand is put into a small bag, a medium bag and a large bag
in the ratio 2:3:7.
Work out the weight of sand in each bag.
Answers
Answer:
77
Step-by-step explanation:
2:3:7.
Rolling a six sidded die and getting a I or 5
Answers
Answer:
probability is the same
HELP ASAP I NEED THIS IN ONE HOUR WILL REPORT WRONG ANSWERS
A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned
on for the first time that day. At 2 p.m., the drill has dug the hole to be 42 1/4 feet deep. The new drill dug
1.5 times as much of the hole as the old drill would have in the same length of time.
(a) What expression represents the number of feet the new drill dug?
(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the
question in a complete sentence.
Answers
Answer:
(a) 42.25 - 13.2
(b) The old drill would have dug 19.367 ft in the same length of time (2 hours).
Step-by-step explanation:
(a) In the two hours, 12 Noon to 2 p.m., the new drill dug
42.25 - 13.2 =
29.05 feet.
(b) Let r = the old drill dig rate in units of ft/hour
Then, 1.5r = the new drill dig rate.
So, 1.5r (2 hours) = 29.05, so that
r = (29.05)/(1.5 * 2) = 9.6833333 ... ft/hour.
So, the answer is: 9.683333 ... * 2 = 19.367 ft, rounded to the nearest 1000th. Thus, the old drill would have dug 19.367 ft in the same length of time (2 hours).
The required expression and the length of hole are 1.5( 42(¹/₄) - 13.2) and 43.57 feet respectively.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
The given problem can be solved by unitary method as follows,
(a) The expression that represents the length of hole dug by new drill is given as,
The length of hole dug by old drill in 2 hours is given as,
42(¹/₄) - 13.2
For new drill it is 1.5( 42(¹/₄) - 13.2) feet.
(b) The length of drill dug by old drill is,
42(¹/₄) - 13.2
= 42.25 - 13.2
= 43.57 feet.
Hence, the expression for hole length by the new drill and the length of hole dug by old drill are given as 1.5( 42(¹/₄) - 13.2) and 43.57 feet respectively.
To know more about unitary method click on,
https://brainly.com/question/28276953
#SPJ2
what are the two integers
Answers
Answer:
3 and 4
Step-by-step explanation:
2^3 = 8
2^4=16
14 lies in between them
Can someone please help ASAP marking brainliest
Answers
Answer:
99 degrees
Step-by-step explanation:
x = 81
..........................................
Answers
Answer:
5678
Step-by-step explanation:
yeeeeeeeeeeeeeeeeeeeeeeee
2(3x-5y)+3(x^(2)-4y) for x=3, y=-5
Answers
Answer:
-38
Step-by-step explanation:
this is the answer
brainlist please
2(3(3)-5(-5))+3(3^2-4(-5))
2(9+25)+3(9+20）
2(34)+3(29)
68+87
155
Evaluate the expression −t/u+vw , where t = 2, u=−2/3 , v=−1 , and w=−1/3 .3 1/31 2/3−2 2/3
Answers
Answer:
The answer is 3 1/3
The value of the expression −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that,
The expression is:
= −t/u+vw
The values of t = 2, u=−2/3 , v=−1 , and w=−1/3
After pluggin the values of t, u, v, and w in the above expression we get:
= -2/(-2/3) + (-1)(-1/3)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
= 3 + 1/3
= 3 1/3 (in mixed fraction)
Thus, the value of the expression −t/u+vw is 3 1/3 after pluggin the values of t, u, v, and w in the expression.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
3 1/3
mathematics algebra sat
Answers
Answer:
D
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] w = [tex]\frac{4}{3}[/tex] , that is
[tex]\frac{3w}{5}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
9w = 20 ( divide both sides by 9 )
w = [tex]\frac{20}{9}[/tex] → D
the answer is w = 20/9
Find the equation of the line with slope m=−5/3 that contains the point (9,−15).
Answers
Answer:
y=-5/3x
Step-by-step explanation:
y = -5/3x+b
-15 = -5/3(9)+b
-15=-15+b - Add 15 to both sides
0 = b
Pounds of Apples
Total Cost (8
The table shows a relationship between the number of pounds of apples and
the total cost. Is the relationship proportional?
4
12
24
A No, because the total cost changes from one row to the next.
B No, because some possible numbers of pounds are not listed.
Yes, because the cost is always three times the number of pounds.
D
Yes, because each number of pounds is double the number before it in the table.
Answers
Answer:
yes it is
Step-by-step explanation:
please mark brainiest
please need help asap
Answers
Answer:
30 = 6 x 5
g = 5
I think that might be the answer
Step-by-step explanation:
Answer: g x 6 = 30
5 times 6 is 30, so g is 5.
From the fig. find the angle which is equal to 110˚. *
1 point
∠A
∠C
∠D
none of the above
Answers
Answer:
∠C is equal to 110⁰ (alternate interior angles)
Step-by-step explanation:
Pls mark as brainliest
leanna finds a buy two get one free sale at her favorite store. her purchases cannot exceed $100. A skit orginally sells $22. What is the greatest number of skirts that she can get.
Answers
6
her order can't exceed 100
and if she buys 2 she gets 1 free
each one costs 22
so she can get 6 skirts for 88 which is the highest it can go
PLEASE HELP ME IT WILL MEAN A LOT TO ME
Answers
Answer:
Alex spends more time in his homework.
Step-by-step explanation:
To make it easier to compare their homework time on math, convert 2/5 into a percentage: Divide the numerator by the denominator:
Darius: 35%
Alex: 2/5 = 0.40 × 100 = 40%
Seeing both percentages make it easier to determine that Alex spends more time in his homework than Darius.
Answer:
Alex spends more time doing math homework. 2/5 is equal to 4/10 and 4/10 as a decimal is 0.4 which is 40%. 40% is greater than 35% so Alex spends more time than Darius doing math homework.
Hope this helps!
Pls gi brainliest!
multiply the given fraction write your answer in your notebook. 3/4 times 1/2
Answers
Answer: 3/8
Step-by-step explanation:
3 . 1 = 3 x 1 = 3
4 2 4 x 2 8
Solve for x in terms of h and k:
2(2x - h) - k = 6
Answers
Answer:
Well what i got was x= 3/2 + h/2 + k/4= 6+ 2h+k=4
I'm not sure if that exactly helps but it's what i got
Step-by-step explanation:
Please help me with this. Please dont just type in the wrong answer to get points. I will give 30 points to anyone who answers correctly and i will mark you as the brainliest so you will get rewarded.
Answers
it is 53cm because it says beside the d 53cm and it the length
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what is 26 divided by 9 as an improper fraction
Answers
Answer:
26/9
Step-by-step explanation:
26/9 is correct because it cannot be simplified so it is left as 26/9