Answer:
38 inches
Step-by-step explanation:
since we are finding the diagonal we are going to use the equation a^2+b^2=c^2
so if we do substitution we would have 32^2+20^2=C^2
32^2= 1024
20^2= 400
so,
1024 + 400 = C^2
1424 = C^2
to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,
C = sqrt(1424)
C = 37.73
C = 38 inches
Ito washes 7 cars in 3 hours. Joan
washes 9 cars in 4 hours. Who
washes cars at a faster rate?
Answer:
Ito
Step-by-step explanation:
Make them to their closest common multiple which is twelve.
Next times 7 by 4 as 3*(4) is 12
Then time 9 by 3 as 3*(4) is 12
7*4=28
9*3=27
Therefore ito washes at a faster rate
Answer:
ITO
Step-by-step explanation:
ITO
He can wash 7 cars in 3 hours.
a) 3 x 60 min = 180 minutes
b) 180\7 = 25.71 minutes per car
JOAN
She can wash 9 cars in 4 hours
a) 4 x 60 = 240 minutes
b) 240\9 = 26.66 minutes per car
which statement is true about the function f(x) =√-x
I need helppppp it’s geometry
Answer: Corresponding Angles
Step-by-step explanation:
When two lines are crossed by another line (The Transversal), the angles in matching corners are called Corresponding Angles.
What is the inverse of the function
Answer:
1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Switch x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
(x-1)/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Answer:
[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+1[/tex]
Put f(x) = y
[tex]y = 2x + 1[/tex]
Interchange x and y
[tex]x = 2y+1[/tex]
Solve for y
[tex]x = 2y+1[/tex]
Subtracting 1 to both sides
[tex]x-1 = 2y[/tex]
Dividing both sides by 2
[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]
Put y = h(x)
[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
In the drawing above two rugby players start 41 meters apart at rest. Player 1 accelerates at 2.2 m/s^2 and player 2 accelerates at 1.7 m/s^2. How much time elapses before the players collide?
Answer:
The time that elapses before the players collide is 4.59 secs
Step-by-step explanation:
The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.
We can write that
S₁ + S₂ = 41 m
Where S₁ is the distance covered by Player 1 before collision
and S₂ is the distance covered by Player 2 before collision
From one of the equations of kinematics for linear motion,
[tex]S = ut[/tex] + [tex]\frac{1}{2} at^{2}[/tex]
Where [tex]S[/tex] is distance
[tex]u[/tex] is the initial velocity
[tex]a[/tex] is acceleration
and [tex]t[/tex] is time
Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision
That is, t₁ = t₂ = t
Where t₁ is the time spent by player 1
and t₂ is the time spent by player 2
For player 1
[tex]S[/tex] = S₁
[tex]u[/tex] = 0 m/s ( The player starts at rest)
[tex]a[/tex] = 2.2 m/s²
Then,
S₁ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (2.2)t^{2}[/tex]
S₁ = [tex]1.1t^{2}[/tex]
[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]
For player 2
[tex]S[/tex] = S₂
[tex]u[/tex] = 0 m/s ( The player starts at rest)
[tex]a[/tex] = 1.7 m/s²
Then,
S₂ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (1.7)t^{2}[/tex]
S₂ = [tex]0.85t^{2}[/tex]
[tex]t^{2} = \frac{S_{2} }{0.85}[/tex]
Since the time spent by both players is equal, We can write that
[tex]t^{2}[/tex] = [tex]t^{2}[/tex]
Then,
[tex]\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}[/tex]
[tex]0.85S_{1} = 1.1S_{2}[/tex]
From, S₁ + S₂ = 41 m
S₂ = 41 - S₁
Then,
[tex]0.85S_{1} = 1.1 ( 41 -S_{1} )[/tex]
[tex]0.85S_{1} = 45.1 - 1.1S_{1}[/tex]
[tex]0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m[/tex]
This is the distance covered by the first player. We can then put this value into [tex]t^{2} = \frac{S_{1} }{1.1}[/tex] to determine how much time elapses before the players collide.
[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]
[tex]t^{2} = \frac{23.13 }{1.1}[/tex]
[tex]t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs[/tex]
Hence, the time that elapses before the players collide is 4.59 secs
Yesterday, there were b milligrams of bacteria in a lab experiment. Today, there are b^2 milligrams of bacteria. If there are 400 milligrams today, how many milligrams of bacteria were there yesterday. a. 20 milligrams b. 200 milligrams c. 1,600 milligrams d. 160,000 milligrams Eva chose B as the correct answer. How did she get that answer. Show the correct answer
Answer:
A
Step-by-step explanation:
b^2 = 400
b = 20.............
A club has 20 members, 12 boys and 8 girls. The club needs to select a president, vice-president and secretary. They decide to select randomly. What is the probability that: a) The officers are all female? b) The officers are all male? c) At least one member from each gender is an officer?
Answer:
a)2/5
b)3/5
C) 1
Step-by-step explanation:
a-8/20=2/5
b-12/20-3/5
c-12+8=20/20=1
i am not that sure about c
hope this help
What is the area of a rectangle with a dimension of 5 cm and 3/4 cm? PLEASE EXPLAIN AND I WILL MARK YOU BRAINLIEST.
Answer:
3.75 cm^2
Step-by-step explanation:
Area of a rectangle = Length x Width.
If we are given that the length is 5 cm and width is 3/4 cm ( you could convert this to a 0.75 if you want to as well ) we can plug this in:
Area = 5 cm x 3/4 cm
Solving for Area we get:
Area = 3.75 cm^2.
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{ \boxed{ \sf{3.75 \: {cm}^{2} }}}}}}[/tex]
Step-by-step explanation:
Length ( l ) = 5 cm
Width ( w ) = 3/4 cm
To find : Area of a rectangle
Finding the area of a rectangle having length of 5 cm and width of 3/4 cm
[tex] \boxed{ \sf{area \: of \: rectangle = \: l \times w}}[/tex]
plug the values
[tex] \dashrightarrow{ \sf{5 \times \frac{3}{4} }}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator.
[tex] \dashrightarrow{ \sf{ \frac{5 \times 3}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{15}{4} }}[/tex]
Divide 15 by 4
[tex] \dashrightarrow{ \sf{3.75 \: {cm}^{2} }}[/tex]
Hope I helped!
Best regards! :D
21 – 8(w + 3) + 3 + 7w
Answer: -w
Step-by-step explanation:
21 – 8(w + 3) + 3 + 7 w
Consider x+4=x+8 . What values could be substituted for x to make this a true number sentence?
Answer:
There is no value of x that will make this true
Step-by-step explanation:
x+4=x+8
Subtract x from each side
x-x+4=x-x+8
4 = 8
This is never true so there is no solution
Please Help ASAP Will give the brainiest answer
I'll give you the answers but make sure you know how to do these.
1) -32
2) -11
3) 77
4) -23
5) -1.3
6) -19.32
7) -10.4
8) 1.408
9) -1/4
10) 9/5
11) -1/6
12) -2 2/3
Hope this helps
Two graduated cylinders, one filled with water to 17 milliliters and one with water and a key filled to 25 milliliters. Calculate the volume of this irregular solid to the nearest cubic centimeter. What is the volume of the key?
nvm its 8 cm3
Answer:
its 8 cm^3
Step-by-step explanation:
got it right edge 2020
Answer: the answer is 8
Step-by-step explanation:
Just did it and got it correct
10, 14, 25, 25, 27, 31, 36, 38, 41, 53
What is the median number of t-shirts sold?
Answer:
The median number of shirts sold is 29
Step-by-step explanation:
Order the number from least to greatest (in this case they already are), then take the middle number or the two middle number if you have to numbers in the middle. If you have to numbers in the middle add them and the divide by 2.
27+31=58
58÷2=29
Answer:29
Step-by-step explanation:
First find the two middle numbers in this case 27 and 31 add them together and divide by 2
I need to know WHAT THE ANSWER IS Please?
Answer:
3
Step-by-step explanation:
When you multiply .3 by 10, you will end up with the answer of three. There are three more ounces in the jar.
2(3x–1)=9(x–2)–7 simplify plz help
Hi
2(3x-1) = 9(x-2)-7
6x-2 = 9x-18-7
6x-9x = 2-18-7
-3x = -23
x = 23/3
The consumer price index is
___
Answer:
the consumer price index measures changes in the price level of a (weighted) average market basket of consumer goods and services.
How does the area of the scale drawing where 1 centimeter represesnts 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles?
Answer:
This means that 1cm on the map means 10miles on actual land so is it the same for 30miles
That is 1cm on map 30 cm on land
When introduced in 1997, a DVD player sold for about $500. Five years later, the average price was $155. Find and interpret the average rate of change in price per year.
Answer:
-69
Step-by-step explanation:
Use rise over run (change in y/change in x)
The change in y is -345, since that is how much the price decreased
The change in x is 5 years
-345/5
= -69
So, the average rate of change in price per year is -69
Write an algebraic expression that models the word phrase. the product of 2 and the sum of a number x and 16
Answer:
2(x+16)
Step-by-step explanation:
it says product of 2 means 2 times
then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2
so the ans is 2(x+16)
If m∠A = m∠B and m∠A + m∠C = ∠D, then
m∠B + m∠C = ∠D.
Which property is shown?
reflexive property
substitution property
symmetric property
transitive property
Answer:
Substitution Property
Step-by-step explanation:
The change from the first equation to the final equation is m∠A has been replaced by m∠B. In other words, m∠B was substituted for m∠A.
Answer:
Substitution property
Step-by-step explanation:
Have a nice day!
Rewrite the following expressions using the Additive Inverse Property -21-62, -78-(-8), 100-500
Answer:
62/78*( 1 6/8)
= 31/39*( 1 6/8)
= 31/29*( 1 3/4 )
= 31/39* 7/4
Multiply the numerator together and the denominator together
= 217/156
Step-by-step explanation:
LIKE IT PLS AND 5 STARS
Evaluate: |6|+|-2∣. Answer value
Answer:
8
Step-by-step explanation:
Absolute value of 6 is 6. Absolute value of -2 is 2. 6+2 is 8.
Answer:
8Step-by-step explanation:
[tex]\left|6\right|+\left|-2\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\\left|6\right|=6\\=6+\left|-2\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\\\left|-2\right|=2\\=6+2\\\\Simplify\\=8[/tex]
Domain and range function graph plz help asap
Answer:
Domain and range: All possible real numbers.
Step-by-step explanation:
Since both end contains arrows, that means that it keeps going on and on.
Ross and Gabby sold boxes of cookies for their soccer team fundraisers.Ross sold b boxes of cookies Gabby sold 35 boxes of cookies .Together they sold 69 boxes of cookies .Witch equation models the scenario?
a)35b=69
b)35-b=69
c)b+35=69
d)35/b=69
Answer:
the answers c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Gabby's 35 boxes plus Ross's b amount of boxes equals the 69 boxes
12-4= +2
second Grade math help pls
Answer:
6
Step-by-step explanation:
Step 1:
12 - 4 = x + 2
Step 2:
8 = x + 2
Step 3:
8 - 2 = x
Answer:
x = 6
Hope This Helps :)
If PR = 25 and PQ = 12, then QR=
Answer:
QR= 13
Step-by-step explanation:
the points on the line in order from left to right are P, Q, R, which means that the distance from P to R is the length of the line. So PQ is only about half the line. To solve this question you would subtract 12 from 25:
25-12=13
hope that helps. can i have brainliest?
Answer:
It depends on whether P lies on QR or not.
If not, we can't find the exact answer for this question.
If P does, there are 2 cases:
Case 1: P is between Q and R
so QR = PQ + PR = 12 + 25 = 37
Case 2: Q is between P and R (because PQ < PR so there is no likelihood for R to lie betweem P and Q)
so QR = PR - PQ = 25 - 12 = 13
What is the order for the set of daga
Answer:
the last answer number 3
what is the value of m (5m+100)
o is the value of m i think
Marco's football team gained 13 yards on their first play, but lost 7 yards on the second. How many yards did they gain between the two plays?
Answer:
6
Step-by-step explanation:
thirteen minus seven equals six
Answer:
6
Step-by-step explanation:
13 minus 7 equals 6
hope this helped you
A jar contains 2 caramels, 7 mints, and 16 dark chocolates. What is the probability of choosing a dark chocolate, eating it and then choosing a caramel?
Answer: dark chocolate 16/25 carmel 1/12
Step-by-step explanation:
there are 16 dark chocolates
to find the probability you have to add up all of your numbers
2+7+16= 25
so the probablity of drawing a dark chocolate is 16/25
repeat the steps but subtract 1 from the total since you ate one you didn't put it back.
so the probability of drawing a carmel is 2/24 or simplified 1/12