Answers
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
for the second one x=3
Related Questions
How far was Zane from the edge of the volcano when he started climbing?
Answers
Answer:
Hope this helps
accoding to the web "He started out 25 meters below the edge of the volcano. It takes him 6.25 seconds to reach the edge."
Answer:
25 meters below the edge; 6.25 seconds
Step-by-step explanation:
We can represent this with a linear function in slope-intercept form.
We know the rate of change is 4 since he climbs up at 4 meters per second. We do not know the value of b, the y-intercept.
This gives us
y = 4x + b
We know that he is 13 meters below the edge after 3 seconds. Using -13 for y and 3 for x,
-13 = 4(3) + b
-13 = 12 + b
Subtract 12 from each side:
-13-12 = 12+b-12
-25 = b
This gives us the equation
y = 4x - 25
He started out 25 meters below the edge of the volcano.
To find how long it took him to reach the edge, substitute 0 in for y:
0 = 4x - 25
Add 25 to each side:
0+25 = 4x-25+25
25 = 4x
Divide both sides by 4:
25/4 = 4x/4
6.25 = x
It takes him 6.25 seconds to reach the edge.
which number produces an irrational number when added to 1/4
Answers
Answer:
A. 0.545454 - 1/4 = 0.295454 yes this is an irrational number
C. 3.4641016 - 1/4 = 3.2141016 yes this is an irrational number
Step-by-step explanation:
A. 0.545454 - 1/4 = 0.295454 is an irrational number as the closest fraction is shown below at 3 decimal points only
As this can be converted to a fraction 147727 /500000 ≈ 0.295
B. - 4/9 - 1/4 = -0.694444444 is not an irrational number so answer is no
As this can be converted to a fraction -173611111 / 250000000
To write 0.694444444 as a fraction you have to write 0.694444444 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.694444444 = 0.694444444/1 = 6.94444444/10 = 69.4444444/100 = 694.444444/1000 = 6944.44444/10000 = 69444.4444/100000 = 694444.444/1000000 = 6944444.44/10000000 = 69444444.4/100000000 = 694444444/1000000000. Then divide by 470 and we know to use this some as 250000000/531915 = 470
C. 3.4641016 - 1/4 = 3.2141016 yes this is an irrational number
closest fraction is only 4 significant figures
4017627 / 1250000
=3 and 267627 over 12500003
267627 /1250000
≈3.214 so in closer proof it is an irrational number.
D. sq rt 4 - 1/4 = 1.75 is not an irrational number as this fraction is 7/4 = 1 3/4
Find the unit rate.
56 newspapers in 2 piles =
newspapers per pile
Answers
Answer: The answer is 28 per pile
I WILL MARK AS BRAINLIEST! Find the area and perimeter of the following figures
Answers
Step-by-step explanation:
it is really not complicated. we only need to type the numbers into the calculator.
so, what's the problem ? you don't know what a perimeter is ? it is the circumference, the total way you have to go when waking all around the figure.
you don't know the formulas for the areas of specific figures ?
let's start :
a)
the area of a rectangle is length×width. I hope you know this at least since first grade.
the important thing here is : the result is in² and not just in. it means an area counts the little squares that fill that area.
A = 30×8 = 240 in²
the perimeter, as explained, is the whole way around it. so, in the end, as you can easily see, we would have to go 2 times the long side and 2 times the short side.
the result is in (just a length, a distance not an area, not a cube, ...).
P = 2×30 + 2×8 = 60 + 16 = 76 in
b)
the area of a triangle is
baseline × height / 2
in this case (a right-angled triangle) we can assume one of the sides enclosing the 90 degree angle as baseline and the other as height (since there is already a 90 degree angle between them).
and again, the result is ft². we could express it also e.g. as in², but since the basic measures are in ft, it makes it better understandable to use ft².
A = 12×5/2 = 6×5 = 30 ft²
the perimeter is even easier than for the rectangle, as we have one side less to count.
and as before, we stay with ft.
P = 12 + 13 + 5 = 30 ft
c)
this is the only more special case.
but it is still easy.
the area is baseline × height.
and our unit of measurement here is cm, so the result will be cm².
A = 10×2 = 20 cm²
the perimeter is the same principle as with a regular rectangle, as the angles don't matter. only the side lengths matter.
so, again, while waking around it, we have to pass 2 times the long side and 2 times the short side.
and the result is a length, a distance again, so, it is cm.
P = 2×10 + 2×4 = 20 + 8 = 28 cm
2. A= 30 feet squared. P=30 feet
3. A= 20 cm squared P= 28 cm
Given the line below.
Answers
Can someone help me with questions 22, 23, and 24 please I’ll appreciate it!
Answers
Answer:
for 24 Q it is 1/4
Step-by-step explanation:
Its so simple!
24=1/4 it’s simple yk
23= volume : l*w*h didn’t got don’t round your answer...
Hello everyone, I have one more question. What is the formula for dividing decimals again? I reviewed this yesterday but continued to forget anyway.
Answers
Answer:
multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens.
Step-by-step explanation:
Find the unit rate.
10 minutes for 2 songs
=
minutes per song
Answers
Hi ;-)
10 minutes for 2 songs = 5 minutes per song
10 : 2 = 5
Answer:
5
Not to sure if it's correct
Step-by-step explanation:
10 ÷2= 5
Select all ratios equivalent to 14:4.
Answers
Answer:
the first option
Step-by-step explanation:
21:6=7:2
14:4=7:2
Answer:
Only option a is equivalent to the given ratio.
I hope it helped U
stay safe stay happy
Select all ratios equivalent to 1:2.
Answers
Answer:
10:20 and 4:8 I think .........
Answer:
The answer is the last 2
Step-by-step explanation:
10:20 can simplify to 1:2. 4:8 can also simplify to 1:2. 24:12 simplifies to 2:1, so that isn't the same.
If this helped, please mark me as brainliest. Thank you! ;)
½ a bottle of cola is shared between 3 children. What fraction of the bottle will they each get
Answers
Answer:
1/6
Step-by-step explanation:
Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.
Answers
Answer:
Step-by-step explanation:
Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?
A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.
Answers
Answer:
it might be C
Step-by-step explanation:
I'm just guessing
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
A. She subtracted 6x from both sides when she should have added.
B. She subtracted 10 from both sides when she should have added.
c. She did not make a mistake.
D. When dividing by −8, she did not change the direction of the sign.
Answers
Answer:
d
Step-by-step explanation:
I WILL MARK AS BRAINLIEST! Simplify
Answers
a) | -21 -17| = | - 38 | = 38
b) | 39 - 26 | = | 13 | = 13
c) | -17 -79 | = | - 96 | = 96
d) | -9+25 |= | 16 | = 16
e) | -21 -61 |= | - 82 | = 82
f) | 61-74 |= | - 13 | = 13
g) | -31 -79 |= | - 110 | = 110
h) | -12 +55 | =| 43 | = 43
I hope I helped you^_^
Help me Guess just help please
Answers
you would try all becauseyou all try you are intilligent mare than other
Select all ratios equivalent to 3:6.
Answers
Step-by-step explanation:
3:6=3/6=1/2
28:36=28/36=7/8
4:9=4/9
8:16=8/16=1/2
Hence, 8:16 is equivalent to 3:6.
I hope it helped U
stay safe stay happy
Answer:
3:6=3/6=1/2
28:36=28/36=7/8
4:9=4/9
8:16=8/16=1/2
Step-by-step explanation:
Find the number that makes the ratio equivalent to 3:2.
:24
Answers
Answer:
36:24
Step-by-step explanation:
24 divided by 2 which is 12 then 12x3 which is 36
I might be wrong but i think this is the answer.
Answer: 36 : 24
Step-by-step explanation:
3 / 2 = 12 * 3 / 12 * 2
= 36 / 24
= 36 : 24
Hope it helps !!
Please show all work and explanation.
[tex]6\frac{1}{4}-4\frac{3}{5}[/tex]
Answers
Steps:
6 1/4 - 4 3/15 can also be written as 25/4 - 23/5
The LCD of 4 and 5 is 20.
That gives us 125/20 - 92/20.
Now, just subtract the numerators (leave the denominators the same).
That brings us to 33/20, which can be simplified to 1 13/20
Final Answer:
[tex]1\frac{13}{20}[/tex]
--------------------------------------------------------------------------------------------------------------
*Please mark brainliest if that helped!*
Answer:
1 [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
1. Convert both [tex]\frac{1}{4}[/tex] and [tex]\frac{3}{5}[/tex] into a common denominator. 4 multiplied by 5 is 20. 20 works for both 4 and five. So convert the denominator into 20. Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{5}{5}[/tex] and multiply [tex]\frac{3}{5}[/tex] by [tex]\frac{4}{4}[/tex]
2. You should've gotten, [tex]\frac{5}{20}[/tex] and [tex]\frac{12}{20}[/tex]
3. 6 - 4 = 2, so 2 [tex]\frac{5}{20}[/tex] - [tex]\frac{12}{20}[/tex]
4. You have to convert 1 into [tex]\frac{20}{20}[/tex] and add that to [tex]\frac{5}{20}[/tex]. You should've got [tex]\frac{25}{20}[/tex]
5. Subtract.
The Answer is 1 [tex]\frac{13}{20}[/tex]
I believe I am correct.
Please mark me as brainliest if I am correct
please help math i need ittt
Answers
1/3 of that distance is 7, so you need Q to be 7 units from P towards R.
-16 + 7 = -9
So, Q is at -9.
So, can someone help me with this?
Answers
-7/8 - ( -3/16 ) write your answer in simplest from
Answers
Answer:
-7/8 - ( -3/16 )
-7/8 + 3/16
Answer:
-11/16 or -0.6875
Step-by-step explanation:
-7/8-(-3/16)=
-7/8+3/16=
-11/16
or -0.6875
please help it would mean a lot thanks ! :)
How does this graph change between (2.5, 2) and (4.5, 0.25)?
increases
decreases
or
no change
Answers
please help! I will greatly appreciate it
Answers
Answer:
(1 1/4, -3/4)
Step-by-step explanation:
The x value, it is 1 and 1/4 units to the right of 0 so its 1 1/4
The y value, it is 3/4 units below 0 so -3/4
Coordinates = (x,y) so it is (1 1/4, -3/4)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
A
Step-by-step explanation:
Find the unit rate.
12 books in 2 boxes
books per box
Answers
Answer:
6
Step-by-step explanation:
12 per2
=12/2
=6 per box
how do you rewrite 2^-2
Answers
Answer:
[tex]2 ^{ - 2} \\ \frac{1}{2 ^{2} } \\ ( \frac{1}{2} ) ^{2} [/tex]
I hope it helped U
stay safe stay happy
Answer:
1/2^2
Step-by-step explanation:
When you have a number to a negative power, you can rewrite it inverting it's fraction and changing the signal of the power. 2 can be wrote as a fraction like 2/1, so you have 2^-2, it's like 2^-2/1, so you invert the fraction and the signal of the power, and have 1/2^2
A car factory made 8 cars with a sunroof and 18 cars without a sunroof what is the ratio of the number of cars without a sunroof to the total number of cars?
Answers
Answer:
No of cars without sunroof=18
Total no of cars=18+8=26
Now,the ratio of cars without sunroof to total no of cars=18÷26
= 9÷13
Did your teacher what answer is simplest form? If so put 9/13
If she just wants ratio 18/26
6.4 x- 10 = 4.4x + 6
Answers
Answer:
x=8
Step-by-step explanation:
2x=16
x=16/2
x=8
that should be the answer
Answer:
8
Step-by-step explanation:
cole and rose are compairing their heights. cole is 7.1 meters tall. Rose is 20 centimeters shorter than cole
what is coles height
Answers
Answer:
150 meters is your answer hun.
Select all ratios equivalent to 5:4.
Answers
Step-by-step explaining
Answer: 25 : 20
Step-by-step explanation:
= 5 * 5 = 25
= 4 * 5 = 20
So , the answer is 25 : 20