Edie can paint a wall in 3 hours. Dan can paint the same wall in 6 hours. if they work together, how many hours will it take Edie and Dan to paint the wall?A.
1 hour
B.
1.5 hours
C.
2 hours
D.
4.5 hours
Answers
Dan can paint 1/6 wall in an hour
2/6 + 1/6 = 1/2
Together, they can paint 1/2 wall in an hour
1/2 x 2 = 2
Therefore they would paint the whole wall in 2 hours, so the answer's C.
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What is the probability of rolling a product of 30 when rolling 2 six sided number cubes?
Find the average range. Round the mean and the average range to the nearest tenth. (Show all your work on scratch paper, then enter your answers below.) 3, 12, 15, 25, 30, 40
pen has 1/2 cup and 1/8 cup measuring cups. What are two ways he could measure out 1 3/4 cups of flour.
Answers
Answer:
-5/3 ft/sec
Step-by-step explanation:
In this question, we are asked to calculate the rate at which the height of the top of a ladder is changing given that the lower end is being dragged at a particular rate.
Please check attachment for complete solution and step by step explanation.
Answer:
The rate of change of height, dy / dt = -1.667 ft/s
Step-by-step explanation:
Solution:-
- The length of the ladder, L = 39 ft
- The foot of the ladder is moved away from wall at a rate, dx/dt = 4ft/s
Find:-
how fast is the height of the top changing (this will be a negative rate) when the lower end is 15 feet from the wall?
Solution:-
- We will first draw a right angle triangle, with vertical height of the ladder to be"y" and distance of the foot of the ladder and the wall to be "x".
- Then express the length "L" in terms of x and y using pythagorean theorem:
L^2 = x^2 + y^2
y^2 = 39^2 - x^2
- Taking height of the ladder as the dependent variable and distance of the foot of the ladder from wall as independent variable.
- Formulate a differential equation from the given expression above in terms of "dy/dt" and "dx/dt". Perform implicit differential of the computed expression "d/dt":
2y*dy/dt = -2x*dx/dt
dy / dt = -(x/y)*dx/dt
- Where, dy / dt : The change in height of the ladder.
- The height of the ladder at x = 15 ft is:
- Then evaluate dy/dt:
dy / dt = -(15/36)*4
dy / dt = -1.667 ft/s
1 0.06
2 0.20
3 0.48
4 0.26
Answers
Your question is incomplete. Please read below to find the missing content.
This score has a probability of 0.48, the highest of all four possible scores.
The answer is option 3.
What is probability?
Probability is virtually how possibly something is to happen. every time we're unsure approximately the final results of an occasion, we will speak about the probabilities of positive consequences—how possibly they are. The analysis of activities ruled by means of possibility is called statistics.
Learn more about Probability here: brainly.com/question/24756209
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This score has a probability of 0.48, the highest of all four possible scores.
ground 61 m horizontally from the point of
release.
What is the speed of the ball just before it
strikes the ground?
Answer in units of m/s
Answers
The speed of the ball would be 13 m/s just before it strikes the ground.
A ball is thrown horizontally from the top of a 110 m high building. 61 meters horizontally from the moment of release, the ball falls on the earth.
What is the velocity?
Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
First of all, we get the time of aviation from the vertical component:
Here s = 110 m and g = 9.8 m/s²
s = 1/2 × gt²
Solve for t
t = √(2s/g)
Substitute the values of s = 110 m and g = 9.8 m/s² in the equation,
t = √(2×110/9.8)
t = √22.44
t = 4.7 sec
The horizontal component of velocity is constant :
v = s/t
Here s = 61 m and t = 4.7 sec
v = 61/4.7
v = 12.97 ≈ 13
Therefore, the speed of the ball would be 13 m/s just before it strikes the ground.
Learn more about Velocity here:
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Answers
I did it, I got an answer that IS . Here are both of my procedures. If all you want is
the answer, look down below at the second one. But if you could help me out, now
that you know how to do this stuff, please look at my first solution and tell me where
I messed up. I can't find it.
=======================================================
Here's what the problem tells you:
D = 10 log ( ' I ' / 10⁻¹² )
D = 60 . . . . . find ' I ' .
Here we go:
60 = 10 log ( ' I ' / 10⁻¹² )
Divide each side by 10 :
6 = log ( ' I ' / 10⁻¹² )
Raise 10 to the power of each side of the equation:
10⁶ = ' I ' / 10⁻¹²
Multiply each side by 10¹² :
10¹⁸ = ' I ' That's 10^18. It looks bad, because that isn't one of the choices.
Let's try a slightly different procedure:
============================================
After substituting 10⁺¹² for I₀ , we're working with this formula:
D = 10 log ( 'I' / 10⁺¹² )
Let's just look at the log part of that.
The log of a fraction is [ log(numerator) - log(denominator) ]
log of this fraction is [ log( 'I' ) - log(10⁻¹²) ]
But log(10⁻¹²) is just (-12) .
So the log of the fraction is [ log( 'I' ) + 12 ]
And the whole formula is now:
D = 10 [ log( 'I' ) + 12 ]
60 = 10 [ log( 'I' ) + 12 ]
Divide each side by 10 :
6 = log( 'I' ) + 12
Subtract 12 from each side :
-6 = log ( ' I ' )
' I ' = 10⁻⁶
That's choice-'B' .
==================================================
I'm going to leave the first solution up there, in hopes that you, or one
of the many aces, experts, and geniuses that prowl this site constantly,
can weigh in and show me my blunder on the first attempt.
Answers
Δ DMU & Δ MPA both are right triangles.
DMU: short leg = 12 ; hypotenuse = 15
MPA: short leg = 0.5x + 6 ; hypotenuse = 2y - 3
x = 12 ; y = 9
12 = 0.5(12) + 6
12 = 6 + 6
12 = 12
15 = 2y - 3
15 = 2(9) - 3
15 = 18 - 3
15 = 15
SAS postulate states that if 2 sides and 1 angle of 1 triangle is congruent to the 2 sides and 1 angle of another triangle. Then, these triangles are congruent.
Since sides are already computed, you need to look for the congruent angles of each triangle. In this case, since both are right triangles, its congruent angle is 90°
Answers
Answer:
what is math
Step-by-step explanation:
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