Answer: P = 0.5 *(12)^3 = 864 kW
Step-by-step explanation:
We calculate the power as follows:
P=C*v^3,
where C = constant and v is the velocity,
lets find the C first, from the given conditions
P = C*v^3
500= C(10)^3
C=500/(10)^3 = 0.5
If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind
What is Power?Power is the amount of energy transferred or converted per unit time.
Given,
The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v
P = kv³
Where k is the proportionality constant.
If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind
first solve the proportionality constant k
500 = k (10³)
k = 500 / 10³= 0.5
so when v = 12 m/s
P = 0.5(12³)
p = 864 kW
Hence 864 kW is the power generated by a 12 m/s wind.
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What method can be used to prove the triangles are congruent?
The answer would be aas
Answer:
The answer to this question would be AAS (Angle-Angle-Side)
Step-by-step explanation:
The triangles both have the same side and another same angle as shown in the image, but to make this AAS, there must be another angle, which is the center point of both triangles... these are the same because they are vertical angles.
Desde la parte más alta de un edificio a 25 m una persona lanza hacia la base un objeto de 150 g con una velocidad de 0.8 m por segundo calcula la energía mecanica total
Answer:
[tex] E_{T} = 36.84 J [/tex]
Step-by-step explanation:
La energía mecánica total está dada por:
[tex] E_{T} = E_{c} + E_{p} [/tex]
[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]
En donde:
m: es la masa = 150 g
v: es la velocidad = 0.8 m/s
h: es la altura = 25 m
g: es la gravedad = 9.81 m/s²
[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]
Por lo tanto, la energía mecánica total es 36.84 J.
Espero que te sea de utilidad!
can someone help me please? the last point of the first graph ends on 6
Answer:
a) Yes
b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.
Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:
c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.
d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.
e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.
f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.
e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.
f2) x-intercept of original function: -6
g) y-intercept of the inverse function: -6
h) x-intercept of the inverse function: 4
i) y-intercept of the original function: 4
j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.
simplify the square root of 272
what is the slope of the line?
plss answer now
Answer:
y= -3 I think but the next person will answer this for you
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
Slope of horizontal lines is
zero (( 0 )) .
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Thus ;
[tex]slope = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
Attached photo work is created by another brainly user named tallinn.
Click on this link to find his work and possibly more information of the answer. Thanks!
m < EAD = 29 degrees
m < CAB = 119 degrees
It is given that Angle C A E is 61 degrees,
angle D A F is 90 degrees,
angle F A B is 61 degrees
We need to find mAngleEAD and mAngleCAB
What is sum of linear pair angles?
The sum of linear pairs is 180 degrees
Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
m<BAC + m<EAC = 180 degrees (sum of linear pair)
m<CAB = 180 degrees - m<EAC
Equation 1: m<CAB = m<EAF = 119 degrees
m<EAF = m<EAD + m< DAF
m<EAD = m<EAF - m<DAF
m<EAD = 119 degrees-90 degrees = 29 degrees
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(please help asap, thank you!)
When one side of the Earth is at high tide, then the opposite side of the Earth is also at high tide?
True or False?
Step-by-step explanation:
When one side of the Earth is at high tide, then the opposite side of the Earth is also at high tide?
(True)
Solve each proportion.
5/2=6/x
Wat is x
Answer:
12/5
Step-by-step explanation:
5/2 = 6/x
in order to solve for x, you can do cross multiplication hence,
5x = 6(2)
x = 12/5
Answer:
12/5
Step-by-step explanation:
5/2=6/x
5x=12
X=12/5.
So the answer is 12/5
The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree
Answer:
Well i got 4.32 but im not completely sure
Step-by-step explanation:
the diagram shows triangle ABD and triangle BCD ABC is a straight line BCD is a quadrilateral triangle angles DAB=25 degrees work out the size of the triangle marked x give a reason for ur answer
Answer:
25
Step-by-step explanation:
First step is to imagine a line that comes straight down from angle b.
This forms a 90 angle AND perfectly bisects angle b.
A triangle has 180 degrees and the angles we currently know are 25 and 90. add those two together and you get 115.
Subtract that from 180 and you get 65 for one part of angle b.
Since the line perfectly bisects angle b, the other side is also 65.
Now, we have the entire triangle DAB.
Angle B is 65x2=130
Angle A is 25
180 degrees in a triangle
130+25=155 degree that we know.
180-155=25 degrees
Maurice can pack 100 cans in 20 minutes Is this a faster or slower rate than packing 160 cans in 40 minutes?
Answer:
Slower
Step-by-step explanation:
If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes
Solve each equation:
5x=1
Answer:
5x=1
Step-by-step explanation:
51
Solve for x. Round answer to the nearest tenth, if necessary
Answer:
x=15
Step-by-step explanation:
9²+12²=c²
81+144=c²
225=c²
√225=√c
15=c
The measure of the x is 15.
Given
The length of the base is 9 and the perpendicular is 12.
What is the Pythagoras theorem?Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
The length of the hypotenuse is x.
Therefore,
[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]
Hence, the measure of the x is 15.
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The swamp middle school basketball team purchased new equipment and uniforms. The total cost of the equipment was $245 and each uniform cost $21. If the total cost of their purchase was $518, how many uniforms did they buy? Create an equation for this situation.
Answer:
13 uniformsStep-by-step explanation:
Step one:
given data
total cost of equipments= $245
cost of each uniform=$21
Total purchase = $518
Step two:
The amount spent on uniform is total purchase minus the total cost of equipment
=518-245
=$273
Hence the total cost of the uniform is $273
if one will cost $21, then the number of uniforms they bought is
=273/21
=13 uniforms
Answer:
25 uniforms
Step-by-step explanation:
518/21= 24.6 round to 25
can you help me with this I need it done by tomorrow thank you
Answer:
x = 17deg
Step-by-step explanation:
angle DCE = angle ACB (vertically opposite angles)
therefore,
x + 100 = 4x + 49
3x = 51
x = 17deg
Answer:
X=
Step-by-step explanation:
First you have to divide the shape into to triangles. Triangle CED and triangle ACB.
Second you have to find what angle C is in the triangle ACB. For this you'll have to:
Find out which of the sides are which. For triangle ACB, side CB is the hypotenuse, CA and AB are adjacent.
The formula we use is [tex]a^{2} +b^{2} =c^{2}[/tex]. a and b are adjacent and c is hypotenuse.
When you found what angle C is, you can go on and to the second triangle same theorem applies to the second triangle [tex]a^{2} +b^{2} =c^{2}[/tex]. At this stage you will already know two angles, 100 and c, so finding E using this formula will be easy
Expand the product (x-3)(x+2)
The answer is-
x^2−x−6
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a
pair of shoes that has a wholesale cost of $67?
Answer:
$93.8
Step-by-step explanation:
(*markup is an increase in price)
67 + ( 40% × 67 )
= 67 + ( 40/100 × 67/1 )
= 67 + 26.8
= 93.8
......................................................................................
plssssss help just with B
Answer:
y=35x
Step-by-step explanation:
...................
I need points but Y=34x
What is 1000+52603+58964+5236809+968532-68972100 = ?
Answer:
−62,654,192 is your answer
Answer:
-62,654,192
Step-by-step explanation:
Use a calculator!
At the first track meet, Bobby threw the shot put feet. At the second track meet he threw the shot put feet.
Which of the following expressions could be used to find the distance he improved his throw from the first track meet to the second track meet?
A. 423/4 + 44 1/2
B. 42 3/4 - ( -44 1/2 )
C. 44 1/2 - ( 42 3/4 )
D. 42 3/4 - 44 1/2
Answer: it has to be D
Answer:
The Answer is D) Just did the test!!
Step-by-step explanation:
write an equation in slope-intercept form for the line with the given slope, passing through the given point. slope=3, (3,2)
a. y=3x-7
b. y=2x-7
c. 3x-3
d. y=2x-3
Answer:
the answer is D because i asked SIRI and BIXBI and they both said the same answers
Step-by-step explanation:
1. A recipe for a pan of brownies requires 1.50
cups of milk, 0.675 cups of sugar, and 1.05
cups of oil. How many cups of ingredients
will there be in the mixing bowl?
Answer:
3.225 cups
Step-by-step explanation:
1.50 cups + 0.675 cups + 1.05 cups = 3.225 cups
1.50 cups
1.05 cups
0.675 cups
3.225 cups
Help quickly!!! Will give points!!
Answer:
you need to show the examples
Step-by-step explanation:
Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials
On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1
Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
Store M sells 5 DVDs for $49. Store S sells 8 DVDs for $59.50. Which store offers the best deal
on DVDs?
hi
5 for 49 means : 49/5 = 9+4/5 = 9.80 each
8 for 59.50 means 59.50/8 ≈ 7.44
second offer is the best deal
Help plz mportant!!! Choose the point-slope form of the equation below that represents the line that passes through the point (-1.6) and has a slope of -3.
а. y - 6 = -3x - 3
b. y - 6 = -3(x + 1)
c. y=-3x + 3
d. 3x+y=3
Answer:
B
Step-by-step explanation:
point slope uses the form y - y1 = m(x - x1)
m stand for slope. in this case it is -3
x1 is -1 and y1 is 6
when you plug it in, you get
y - 6 = -3(x - [-1])
which simplifies to your final answer: y - 6 = -3(x + 1)
what is positive 1 plus negative 6
Answer:
-5
Step-by-step explanation:
When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)
Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack. Because the stack will be 5 feet into the ground now, the answer is -5.
What is the slope intercept form for this ?
Answer:
150
Step-by-step explanation:
Answer:
y = 150x + 400
Explanation:
Slope intercept form is : y = mx + b
B is the y intercept, you can also think of it like a starting value, in this case Susan starts with $400 dollars
M is the slope, you can also think of it like a value that is consistently changing over time, in this case Susan saves(or earns) $150 each month.
If you want to figure how much money she will have in a certain number of months, plug the number of months (x), into the x in y = 150x + 400.
HEYO! so i have this problem that needs to be solved and not feeling good doesn't help either lol. So here it is....
what is 14/25 in simplest form?
Answer:
0.56
Step-by-step explanation:
Answer:
14/25
Step-by-step explanation:
Because you cant divide both of them by the same number.
Lines b and c are parallel. What is the measure of angle 6?
Answer:
I think
Step-by-step explanation:
it is answers is m is 117