Answer:
Step-by-step explanation:
here you go mate
step 1
-10+7m= -10 equation
step 2
7m-10+10=-10+10
7m=0
step 3
divide
answer
m=0
mind if i get brainliest?
Answer:
<em>The sum of 4 consecutive odd number is 80</em>
<em>Let X be the first of these numbers</em>
<em>Then the next odd number is X+2</em>
<em>The third is X+4The fourth is X+6</em>
<em>All of these add up to 80</em>
<em>(X) + (X+2) + (X+4) + (X+6) = 80</em>
<em>Using the commutative and associative laws, let's transform this equation into</em>
<em>(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80</em>
<em>Subtract 12 from both sides of the equation gives4X = 68</em>
<em>Divide both sides by 4 gives</em>
<em>X = 17</em>
<em>Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!</em>
Answer:
An equation that represents the data would be y=2.75x+137.50. The y-intercept of the graph is 137.50, which represents the base cost of a boat rental. The slope of the graph is 2.75, which represents the rate, or cost per person. If we use this equation to solve for the cost of boat rental for 75 people, we would get a total of $343.75. A reason the marina might charge more for 75 people could be the need for a second boat and/or additional workers to handle the additional guests.
Step-by-step explanation:
The problem gives you four sets of ordered pairs: (10, 165); (20, 192.50); (35, 233.75) and (50, 275). Using these ordered pairs, you can either make a table, or use slope formula with two points to determine the rate of change. For example, (192.50-165)/(20-10)= 2.75, which represents the slope or cost per person. To find the y-intercept, or base cost to rent the boat, subtract the cost for 10 people ($27.50) from the $165 rental charge to get $137.50. In order to find the cost for 75 people, you would plug in 75 for the variable 'x' and solve for 'y', which gives us $343.75. Since the actual cost is different, we have to assume that there are additional fees associated with a certain number of people.
Answer:
Power generated = 4.315 kW
Step-by-step explanation:
Given,
- speed of wind when enters into the turbine, V = 12 m/s
- speed of wind when exits from the turbine, U = 9 m/s
- mass flow rate of the wind, m = 137 kg/s
According to the law of conservation of energy
Energy generated = change in kinetic energy
Since, the air is exiting at same elevation. So, we will consider only kinetic energy.
Energy generated in one second will be given by,
=4315.5 J
= 4.315 kJ
So, energy is generated in one second = 4.315 kJ
Power generated can be given by,
And the energy is generated is already in per second so power generated will be 4.315 kW.
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
