Answer:
√3
Step-by-step explanation:
Factor 3 into its prime factors
3 = 3
Note that 3 is a prime number, it only has itself as a factor (that is on top of the trivial factor "1")
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified
The simplified SQRT looks like this:
sqrt (3)
Donna has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same
distance to cool down. If she runs at a speed of 10 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back?
Answer:
Avg speed of the round trip = 2*10*2/(10+2) = 10/3 mi/hr
D = r*t = (10/3)*6 = 20 miles
--> 10 miles each way
--> 5 hours walking back.
She'll get bored doing that.
Step-by-step explanation:
Which relationship is an inverse variation?
x 2 4 6 8
f(x) 12 6 4 3
x 1 2 3 4
f(x) –1 –2 –3 –4
x 1 2 3 4
f(x) 4 16 36 64
x 2 4 6 8
f(x) 6 12 18 24
The relation that is an inverse variation is the one in the first table:
x 2 4 6 8
f(x) 12 6 4 3
Which relation is an inverse variation?An inverse variation between two variables x and y can be written as follows:
y = k/x
Where k is a constant.
Notice that x is on the denominator, so, as x increases, the value of y decreases.
Now, for example if we use the values of the first table:
x 2 4 6 8
f(x) 12 6 4 3
The first pair is (2, 12)
Replacing that in the inverse variation formula we get:
12 = k/2
12*2 = k
24 = k
For the second pair (4, 6) we will get:
6 = k/4
6*4 = k
24 = k
And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).
So this is the correct answer.
Learn more about inverse variations:
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An object was moving at a rate of 18.2 feet per second for 38.5 seconds. How far did the object travel?
Answer:
700.7
Step-by-step explanation:
You're looking for distance. So all you have to do is 18.2 x 28.5 and you'll get your answer.
Hope this helps. :)
The distance travelled 700.7 feet
What is speed- distance formula?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,Distance = Speed X Time, and Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.given:
speed= 18.2 ft/ sec
time= 38.5 sec
So,
speed= Distance/ time
distance= speed * time
= 18.2 * 38.5
= 700.7 feet
Learn more about speed here:
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Order the values from least to greatest
|-7|
-2
|-6|
-6
10
Answer:
-6, -2, |-6|, |-7| 10
Step-by-step explanation:
The Batmobile broke down so Batman went to the car dealership to purchase a new car. Batman negotiated the price of his car to an even $40,000. If Batman pays 8% tax for his car, how much will he pay total with tax?
(Please also show work)
Answer:
$43,200
Step-by-step explanation:
40,000*0.08=3,200
40,000+3,200=43,200
Hope this helps!
What is the slope of the line? (Picture)
solve for the perimeter
Answer:
can you provide more information and explain
Step-by-step explanation:
BRAINLIEST ANSWER! please show the steps
-6k-24 > = 6 (1-2k)
Answer:
Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k
Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.
6k>=30 Divide. 6/6 and 30/6 and your answer is 5
2b/3-5=3 what is the value of b
Answer:
‒3
Step-by-step explanation:
2b/3‒5=3
2b=3(3‒5)
2b=3(‒2)
2b=‒6
2b/2=‒6/2
b=‒3
you can proof as the following(by replace ‒3)
2(‒3)/3‒5=3
‒6/‒2=3
3=3
i hope it helps you
15 1/2 + 12 2/3 + 10 3/4 as a mixed number in simplest form help asap
Answer:
37 23/12
Step-by-step explanation:
First, make them all have a common denominator.(12) Then, multiply as needed. Lastly, add all three number together.
Answer:
38 11/12
Step-by-step explanation:
Turn all denominators to 12. what you do the the bottom due to the top.
Dave answered 28 questions out of 40 correct on a test. What percent did he answer correctly?
Answer:
70 percent
Step-by-step explanation:
first divide your part by your total: 28/40
then multiply the result by 100
so, 28/40=0.7. 0.7×100=70 percent
Care to help please!!
Answer:
M= the slope or the gradient
B= the y-intercept
y= the output value
x= the input value
Step-by-step explanation:
Answer:
m = 2
b = 8
y = 2x+8
The sum of two numbers is 72. One number is 8
more than the other. Find the numbers.
Can someone help me?
Answer:
32 and 40
Step-by-step explanation:
Let's call the smaller number x. If the smaller number is x, the equation for this problem is 2x + 8 = 72
Equation:
2x + 8 = 72
2x = 64
x = 32
So now we know the smaller number is 32, so now add 8 and we get 40.
Therefore the 2 numbers are 32 and 40
consider the following figure
Answer:
that look like complementry and supplementry angles
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
What is the distance from. P to n, shown in the figure?
A. -3
B. 1
C. 4
D. 5
Answer:
-5
Step-by-step explanation:
y2-y1/x2-x1
0-5/4-3
-5/1
Choose the equation for the line in slope-intercept form.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (4,-1), (0,-3) and (-4,-5).
A. y=2x+3
B. y=12x+3
C. y=12x−3
D. y=−12x−3
Look at the equation below.
d=(ri+r2)t
Which of the following shows the equation solved correctly for 11?
O ri=
n1 = 12
T =
det
T2
r = -2
O T1= .
dra
Answer:
D
Step-by-step explanation:
For each representation below, decide if it is a function. justify your answer. ( I literally don’t understand this please help, THANK YOU!:)
Answer:The Answer is Answer is B
suppose CM and DM intersect AB as shown. allison states angleAMC + angleCMD + angleDMB = angleAMB. which justifies allison’s statement?
Answer:
A. Angle Addition Postulate
Step-by-step explanation:
<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.
According to angle addition postulate, the measure of <AMB is the sum of these three angles.
Therefore, angle addition postulate justifies Allison's statement that states:
<AMC + <CMD + <DMB = <AMB.
Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.
Segment addition nor construction of an angle bisector do not also justify his statement.
The right answer is: A. Angle Addition Postulate.
10.15-10.16 with fractions
find the length of the angle inducated for each trapezoid.
First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.
the first one:
the angle P =90⁰
the angle Q=90⁰
So you do the deduction:
360⁰-90⁰-90⁰-65⁰= 115⁰
the second one:
the angle F=60⁰
so you do the same thing as number one:
360⁰-60⁰-60⁰= 240⁰
240⁰/2= 120⁰
Voilà!
The temperature of a liquid is changing by -4.32 degrees celsius per minute. What will be the temperature change, in degrees Celsius over a period of 6.5 minutes?
Answer:
-28.08 degrees celsius
f (x)=-x2 + 4x, solve for f(3)
Answer:
f(3) = 6
Step-by-step explanation:
F(3)=-(3)2+4(3)
f(3) = -6 + 12
f(3) = 6
pls help how do you do this??
-1 1/5 * 6 -1 5/6 * 5
-1 6/30 divided by -1 25/30
-4/30
i think thats the answer sorry if im wrong :(
If two distinct lines intersect, which is NOT necessarily true?
The lines are perpendicular.
HELP!!
Are triangles ABC and ALM congruent
A. Yes by AA
B. Yes by SSS
C. Yes by SAS
D. They are not similar
Answer:C
Step-by-step explanation:
which set of numbers represents a Pythagorean triple
6,9,12
7,10,12
16,18,25
27,36,45
Answer:
27,36,45
Step-by-step explanation:
Pythagorean theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]
[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]
[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]
[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]
why is x=6 a solution to the proportion 192/36=32/x
Answer:
They're both equal each other!
Step-by-step explanation:
Because 32/6 is 5.33... on the calculator and when you divide 192/36 is 5.33 and so on. X = 6 is the solution because both of these divisors equal each other!!! Hope this helps!
Find the area please ASAP
Answer:
30 units ^2
Step-by-step explanation:
area of triangle = (base × height) / 2
Can anyone please help me with number 2 ❤️
Answer:
[tex]A = 101.5825591635[/tex]°
Step-by-step explanation:
We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)
So we want to solve for angle A.
We do this by using:
[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]
Here we have:
a = 36
b = 27
c = 19
So we plug in to get:
[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]
[tex]cos(A)=-0.20077972709[/tex]
[tex]A = 101.5825591635[/tex]°