Answer:
[tex]\boxed {\boxed {\sf 30 \ Joules}}[/tex]
Step-by-step explanation:
Kinetic energy can be found using the following formula:
[tex]KE=\frac{1}{2}mv^2[/tex]
Where m is the mass and v is the velocity.
The robot has a mass of 60 kilograms and a velocity of 1 meter per second.
[tex]m= 60 \ kg \\v= 1 \ m/s[/tex]
Substitute the values into the formula.
[tex]KE=\frac{1}{2} (60 \ kg) (1 \ m/s)^2[/tex]
Solve the exponent first.
(1 m/s)²= 1 m/s * 1 m/s = 1 m²/s²[tex]KE= \frac{1}{2} ( 60 \ kg )(1 m^2/s^2)[/tex]
Multiply the numbers in parentheses.
[tex]KE=\frac{1}{2} ( 60 \ kg*m^2/s^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]KE= 30 \ kg*m^2/s^2[/tex]
1 kg*m²/s² is equal to 1 J Our answer: 30 kg*m²/s² is equal to 30 Joules[tex]KE= 30 \ J[/tex]
The robot's kinetic energy is 30 Joules
13 POINTS FOR ANSWERS TO ALL STEPS
geometry triangles
Step-by-step explanation:
a) We know that triangle ABD is a right triangle, because of the right angle mark show, and the fact that BD- height, thus perpendicular.
We also know that m<A=30 degrees, due to given diagram.
The sum of all angles in a triangle is 180 degrees. Therefore, m<BDA + m<ABD + m<DAB (Usain Bolt!) = 180 degrees.
m<BAD=30 degrees, m<BDA=90 degrees
Substitute these two in the equation above. You will get that m<ABD=60 degrees.
b) Triangle ABD is a special triangle, with angles of 30,60 and 90.
We know that AD=10[tex]\sqrt{3}[/tex] units.
AD is opposite the 60 degree angle, or <ABD. It is a theorem that the angle opposite to the 60 degree angle is the height (BD) divided by [tex]\sqrt{3}[/tex]. Calculate, and what do you get? BD=10 units!
c) Use the fact that triangle ABC is an isosceles triangle.
d) Use the fact that you know the height, base, and triangle area formula: Base x 1/2 x Height.
I will say no more, but I hope you understand the rest based on your logic.
Jamie purchases a 48 ounce milkshake she drinks it at a rate of 8 ounces per minute complete the table shown to demonstrate the amount of her milkshake left after the given minutes show all the way until she finishes the milkshake
Answer:
thanks i guess i kind of like you don´t get mad
Step-by-step explanation:
Number 1. Write an Equation for this situation Amanda is training for a marathon she sets the pace so that every mile takes eight minutes. Write an equation for the amount of time, “t”, it takes her to run “m” miles number 2. Write an equation for this situation bars of chocolate sell for $2.50 each. Write an equation to show how much money, “d”, it costs to buy “x”, number of chocolate bars
ANSWER!
Number 1: t=8m
Number 2: 2.50d=x
I need help on this question...
angles on a straight like add up to 180
so angle 1 is 180 - 122 = 58
Answer:
58
Step-by-step explanation:
Every straight line equals 180 degrees, so all you have to do is subtract the other side of the line by 180
Which equation has infinitely many solutions?
A. -6.8 + 3y + 2.4 = 4.3 - 3y
B. 1/3y + 2.5 - 3/2y = 1.2
C. 5.1 + 2y + 1.2 = -2 + 2y + 8.3
D. 2/5y = 2.3 + 3/2y
Answer:
C
Step-by-step explanation:
When an equation has infinitely many solutions, what we have on the right is also what we have on the left side of the equation
Let’s take a look at the third equation;
5.1 + 2y + 1.2 = -2 + 2y + 8.3
5.1 + 1.2 + 2y = 2y + 8.3-2
6.3 + 2y = 2y + 6.3
This equation has infinitely many solutions
The area of a trapezium is 550 cm2 and the length of the parallel sides is 23cm and 27cm, find the distance between them.
Answer: 22 cm.
Step-by-step explanation:
Formula for area of trapezium: [tex]Area = \dfrac12 (\text{Sum of parallel sides})\times \text{(Distance between them)}[/tex]
Given: Area = [tex]550\ cm^2[/tex]
Length of parallel sides : 23 cm and 27 cm
Let h=distance beteen them.
then
[tex]550=\dfrac12 (23+27)(h)\\\\\Rightarrow\ 550=\dfrac12(50)h\\\\\Rightarrow\ 550=25h\\\\\Rightarrow\ h=\dfrac{550}{25}\\\\\Rightarrow\ h= 22[/tex]
Hence, the distance between them = 22 cm.
It takes an ant farm 2 days to consume 1/3 of an apple. At this rate, how many days will the ant farm consume in 4 days
Answer:2/3rds of the apple
Step-by-step explanation:
Answer:
2/4
Step-by-step explanation:
if it takes a ant 2 days to eat 1/3 4 days would be double that
What is the volume of the rectangular prism?
Help please
Answer:
Step-by-step explanation:
you got this i believe in you!
Can you make a triangle with 5.2 cm 4.8 cm 9.1 cm Or how many Need Answer quickly pls
5.2+4.8=10
yes, because the two shorter sides add up to a equal or greater length than the longest side
i think this is how it works im sorry if im wrongg
In ΔTUV, t = 900 inches, u = 830 inches and v=590 inches. Find the measure of ∠U to the nearest degree.
Answer:
The answer is 64
Step-by-step explanation:
Algebra is a hard subject for me can I have help please
Answer:
What he/she said
the amount of ppl who do this lol.
what is the answer to 3x – 3 = 18
The mountain trail at Tanner Park is 8 miles long traveling to the top of the mountain and back. Grayson is making his way back down after hiking 4.6 miles. He needs to hike for another 2 hours to make it to the bottom. How many miles will he hike per hour? 7th-grade question
Answer:
Speed of hike = 1.7 miles per hour
Step-by-step explanation:
Given:
Total distance = 8 miles
Distance already traveled = 4.6 miles
Total time remain to travel = 2 hour
Find:
Speed of hike
Computation:
Distance remain = Total distance - Distance already traveled
Distance remain = 8 miles - 4.6 miles
Distance remain = 3.4 miles
Speed of hike = Distance remain / Total time remain to travel
Speed of hike = 3.4 / 2
Speed of hike = 1.7 miles per hour
The equation is 2x^2+5x=3 has how many real solutions?
A. No real solutions
B. One real solution
C. Two real solutions
D. Infinitely many solutions
How do I find out the exact solutions and approximate solutions?
Answer: Exact solutions are x = 2√2 and x = -2√2
Approximate solutions are x = 2.828 and x = - 2.828
The attachment shows a portion of the graph with this equation. The "zeros" are the solutions.
Step-by-step explanation: To get values for x, we need to isolate x
2x² -6 = 10 Add 6 to both sides and rewrite the equation as
2x² = 16 divide both sides by 2
x² = 8 Factor 8 as 4(2) so you can "pull out" a square.
To solve for x, take the square roots of both sides.
Remember that square roots are positive and negative values.
[tex]\sqrt{x^2}[/tex] = ± [tex]\sqrt{4(2)}[/tex]
x = ± 2√2
x = 2√2 and x = -2√2
We can use a calculator to get approximate values of x.
[tex]2\sqrt{2}[/tex] = ±2.828427125
Round that to x = 2.828 or 2.83 AND x = - 2.828 for approximate values.
PLEASE HELP. I have no idea what to do
Answer:
What is it i can probably help
Step-by-step explanation:
[tex]since \to : x \sqrt[y]{ {n}^{z} } = x( {n}^{ \frac{z}{y} } ) \\ then \: lets \: solve \: both \: values \: separately \to : \\ \underline{ \boxed{solution \: to \: \boxed{a}}} \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} (40 \sqrt[6]{n} ) \\ 120 \sqrt[3]{ {n}^{a} } = 3 \sqrt{n} \times 40 \sqrt[6]{n} \\ 120 \sqrt[3]{ {n}^{a} } = 120 (\sqrt{n} \times \sqrt[6]{n} ) \\ \sqrt[3]{ {n}^{a} } = (\sqrt{n} \times \sqrt[6]{n} ) \\ {n}^{ \frac{a}{3} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{6} } \\ \frac{a}{3} = \frac{1}{2} + \frac{1}{6} \\ \frac{a}{3} = \frac{4}{6} \\ 6a = 12 \\ a = \frac{12}{6} = 2 \\ \underline{ \boxed{a = 2 \:}} \\ \\ \: \underline{ \boxed{solution \: to \: \boxed{b}}} \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} (9 \sqrt[4]{n} ) \\ 27 \sqrt[4]{ {n}^{b} } = 3 \sqrt{n} \times 9 \sqrt[4]{n} \\ 27 \sqrt[4]{ {n}^{b} } = 27 (\sqrt{n} \times \sqrt[4]{n} ) \\ \sqrt[4]{ {n}^{b} } = (\sqrt{n} \times \sqrt[4]{n} ) \\ {n}^{ \frac{b}{4} } = {n}^{ \frac{1}{2} } \times {n}^{ \frac{1}{4} } \\ \frac{b}{4} = \frac{1}{2} + \frac{1}{4} \\ \frac{b}{4} = \frac{3}{4} \\ 4b = 12 \\ b = \frac{12}{4} = 3 \\ \underline{ \boxed{b = 3 \:}} \\ hence \to : \\ \underline{ \underline{\boxed{a = 2 \:}} \underline{ \boxed{b = 3 \:}}}[/tex]
What lengths of two sides of a triangle are seven and 11. Which could not be the length of the third side?
a. 19
b. 10
c. 12
d. 5
-2(3 + 4x)
I need help
Answer:
-6-8x
Step-by-step explanation:
distribute and multiply
Answer:
-6-8x
Step-by-step explanation:
What is the circumference of this circle?
Answer:
12.56
Step-by-step explanation:
its really 12.57 but yeah
Step-by-step explanation: To find the circumference of
the circle shown here, start with the formula c = 2πr.
Since the radius is 2 km, we can plug is 2 km for r in the formula.
So we have (2)(π)(2 km) which is equal to 4π km.
Now, remember that π is approximately equal to 22/7 or 3/14.
So we can estimate the value of the
circumference by plugging in 2.14 for π.
So we have (4)(3.14) which is equal to 12.56.
So the circumference is approximately equal to 12.56km.
Tom can read at a speed of 50 pages per hours. She reads 275 pages one weekend. How many hours does she read
The circle shown has a radius of 12 mm. 12 mm What is the circumference of the circle?
A. 6 mm
B. 124 mm
C. 241 mm
D. 367 mm
a n s w e r
Answer:
dude they answer choices that you wrote and the answer choices in the picture aren't the same
What is the midpoint of the vertical line segment graphed below? (5, 4) (5, -5)
A (10, -½)
B. (10, -1)
C. (5, -½)
D. (5, -1)
T
V
3x+9
14
U
3
The angle is a total of 44 degrees
X=
ZTUV =
A-3,9
Step-by-step explanation:
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate
every day. The cost of the job is in the chart below.
Day 1
Day 2 Day 3
Hours worked
5
4
6
Amount paid
$300
$240
$360
What is the painter's unit rate of change of dollars with respect to time; that is, how much is the painter paid for
one hour worked?
The unit rate of change is
dollars per hour.
Graph the proportional relationship described above, with the x-coordinate representing hours worked, and
the y-coordinate representing amount paid in dollars.
y
SO-
Answer:
60 dollars per hour
1. Order the numbers from least to greatest. -3, 16 ,-50, 0,5,81 Correct Order:
-50,-3,0,5,16,81
:)THIS IS THE ANSWER
Determine the intercepts of the line.
y-intercept:
r-intercept:
help pls
SOMEONE HELP MEH...
Tonya has 5/9 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?
Group of answer choices
1_1/9
5/9
5/18
45
Answer:
I think it's the first or third
Answer:
5/18
Step-by-step explanation:
So the total is 5/9 yard of ribbon, cut it in half means dividing it into 2
5/9 ÷ 2 = 5/9 * 1/2 = 5/18
Which equation does the graph below represent?
Answer: y=2x
Step-by-step explanation: I'm 99% sure I'm right.
4(k-6) -12= 6k
please hurry
Answer:
k= -18
Step-by-step explanation:
4(k-6) -12= 6k
4k-24-12=6k
-36=6k-4k
-36=2k
----- ----
2 2
k= -18
Determine the y-intercept of the following equation.
(x+5)(x - 1) = y
Answer: Should be -5
Step-by-step explanation:
