the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
a. The circumference of Track 1 is 376.8 feet.
b. The circumference of Track 2 is 533.8 feet.
c. . The circumference of Track 3 is 690.8 feet.
The circular space Driver’s Delight has of 150 feet radius will have a circumference of 471 feet.
What is circumference?The circumference is the distance around the circle and he formula to calculate is 2πr, where r is the radius.
Driver’s Delight has 3 circular tracks for go-carting.
Track 1 has a radius of 60 feet therefore the circumference of this circular track will be,
Track₁ circumference = (2πr).
= (2×3.14×60) feet.
= 376.8 feet.
Track 2 has a radius of 85 feet therefore the circumference of this circular track will be,
Track₂ circumference = (2πr).
= (2×3.14×85) feet.
= 533.8 feet.
Track 3 has a radius of 110 feet therefore the circumference of this track will be,
Track₃ circumference = (2πr).
= (2×3.14×110) feet.
= 690.8 feet.
They also have a circular space of 150 feet there the circumference of this circular space will also be (2πr). And we know Diameter = Twice of radius.
So, we just have to multiply the diameter by π which has an approximate value of 3.14.
So, the circumference of this circular space is
= 150×π feet.
= 150×3.14 feet.
= 471 feet.
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If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
Answer:
It is 9 students.
Step-by-step explanation:
You times 15 students and 60% and you get 9 students.
please help i will make sure to mark brainliest
Christelle and Larkin both drive customers on the weekend. Christelle charges a flat fee of $4, plus $1 per mile. Larkin charges a flat fee of $2, plus $1.25 per mile
Complete question :
Christelle and Larkin both drive customers on the weekend. Christelle charges a flat fee of $4, plus $1 per mile. Larkin charges a flat fee of $2, plus $1.25 per mile.
Which equations represent each of their earnings, (y), after a given number of miles, (x)?
Select two that apply. Put more then one answer
y=4x+4
y=x+4
y=2x+1.25
y=1.25x+2
y=−x−4
y=1.25x−2
Answer:
y=x+4
y=1.25x + 2
Step-by-step explanation:
Christelle:
Flat fee = $4
Charge per mile = $1
Earning, y after x miles
y = 4 + x
Lakin:
Flat fee = $2
Charhe per mile = $1.25
EEarning, y after x miles
y = 2 + 1.25x
Increase £101 by 16%
Give your answer rounded to 2 DP.
If we increase £101 by 16% then it would be £117.16
What is percent?"It is the number that can be expressed as a fraction of 100."
For given example,
we need to increase £101 by 16%
First we find the 16 percent of £101
16% of £101 = 101 × (16/100)
16% of £101 = 101 × 0.16
16% of £101 = £16.16
So, if we increase £101 by 16% then it would be,
£101 + £16.16 = £117.16
Therefore, if we increase £101 by 16% then it would be £117.16
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Find the circumference of a circle with radius, r = 16m. Give your answer in terms of π .
Answer:
[tex]32\pi[/tex] meters
Step-by-step explanation:
The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, we are solving for [tex]C[/tex] and we know that [tex]r=16[/tex], so after substituting [tex]r=16[/tex] into [tex]C=2\pi r[/tex], we get:
[tex]C=2\pi r[/tex]
[tex]C=2\pi *16[/tex] (Substitute [tex]r=16[/tex] into [tex]C=2\pi r[/tex])
[tex]C=32\pi[/tex] (Simplify RHS)
Hope this helps!
We have,
Radius of the circle = 16 m
We know,
Circumference = 2πr
∴ Circumference = 2π × 16 m = (32π) m.
what is the image of (4,2) ?
- don't know what you mean, but maybe the graph?
Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $4 per week and has $15 in her bank. Write the system of equations for this situation.
Answer:
Nathan: 2x+30
Olivia: 4x+15
Step-by-step explanation:
x is the number of weeks
Nathans account is as follows
2x+30
(2 dollars a week plus the 30 dollars already there)
Olivia's account is as follows
4x+15
(4 dollars per week plus the 15 already in there)
The system of equation for the given situation should be considered
Nathan: 2x+30
Olivia: 4x+15
Calculation of the system of equation:here we assume x is the number of weeks
So for nathan, the equation is 2x+30
And, for Olivia's account is 4x+15
hence, The system of equation for the given situation should be considered
Nathan: 2x+30
Olivia: 4x+15
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The side lengths are 9,12, and 15 . is this a right triangle?
Answer:
yes, the last one because 81 + 144 = 225
Step-by-step explanation:
Answer:
D. yes because 9^2 + 12^2 = 15^2.
Step-by-step explanation:
Got a 100% on meh test
CANNOT!!! be simplified
Answer:
left down
Step-by-step explanation:
do you want an explanation?
PLSSS HELP ME ITS DUE IN AT 11:59
HELPPPPPPPPPPPPP
Step-by-step explanation:
-7 >= -5r + 3
-10 >= -5r (subtract 3 from both sides)
2 <= r (divide -5 on both sides and flip the sign)
Hence we have r is greater than or equal to 2.
The only set that satisfies this is {2, 4, 6, 8}. (G)
The diameter of the circle above is 100 cm. What is the circumference of the circle? (Use = 3.14.) I really need it
Answer:
314 cm
Step-by-step explanation:
The formula for the circumference is [tex]C=\pi d[/tex], when d is the diameter.
[tex]C=\pi d[/tex]
Plug in the given values
[tex]C=3.14*100\\C=314[/tex]
Therefore, the circumference of the circle is 314 cm.
I hope this helps!
If y varies directly as x and y = 11 when x = 2.5, find y when x = 27.5.
Answer:
27.5
Step-by-step explanation:
y=consx
y=x
y=27.5
Answer:
121
Step-by-step explanation:
you can either set up a proportion or a table (i inserted a picture for both ways!) After setting up a table you would calculate how much it is to get from 2.5 to 27.5 (so you divide 27.5/2.5) to get 11. Then you move to the y side of the table where you would have to multiply 11×11 to get your answer (which is 121)
Child admissions is 5.50 adult admission is 9.80 159 tickets where sold total sales 1136.80 how many where child admissions
Answer:
98
Step-by-step explanation:
Given that:
Total number of tickets sold = 159
Ticket price for child admissions = 5.50
Ticket price for adult admissions = 9.80
Total money spent = 1136.80
To find:
The number of child admissions.
Solution:
Let number of child admissions = [tex]x[/tex]
Let number of adult admissions = [tex]y[/tex]
As per question statement:
[tex]x+y = 159[/tex] ...... (1)
and
Money spent for child admissions = 5.50[tex]x[/tex]
Money spent for adult admissions = 9.80[tex]y[/tex]
[tex]5.50x+9.80y = 1136.80[/tex] ...... (2)
Using equation (1):
[tex]y = 159-x[/tex]
Putting in equation (2) from above:
[tex]5.50x+9.80(159-x) = 1136.80\\\Rightarrow 5.50x+1558.2-9.8x=1136.80\\\Rightarrow 4.3x = 421.4\\\Rightarrow x = \bold{98}[/tex]
Therefore, total number of child admissions is 98.
Given: SV || TU and SVX = UTX
Prove: VUTS is a parallelogram.
State the given then use
CPCTC to say all their parts match and say what specifically makes it a parallelogram.
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Step-by-step explanation:
The given figure VUTS is a parallelogram.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that,
SV ║TU
Also ΔSVX ≅ ΔUTX
Since both the triangles are congruent, corresponding sides are equal.
SV = UT
SX = UX
VX = TX
Consider two triangles ΔVUX and ΔSTX.
Already we have 2 corresponding sides of these triangles are equal from above.
So third side is also equal.
Since US is a transversal line that cuts the parallel lines VS and UT, ∠VUX = ∠TSX (alternate interior angles)
Similarly, VT is also a transversal line that cuts the parallel lines VS and UT,
∠UVX = ∠STX
So the two lines VU and ST are parallel.
Hence the figure is parallelogram since opposite sides are equal and parallel.
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What are two numbers that have a product of - 40 and have a sum of 18?
Step-by-step explanation:
xy = -40 and x + y = 18
=> x(18 - x) = -40
=> 18x - x² = -40
=> x² - 18x - 40 = 0
=> (x - 20)(x + 2) = 0
=> x = 20 or x = -2.
The two numbers 20 and -2.
Answer:
let the numbers be x and y
[tex]xy = - 40 - - - (i) \\ x + y = 18 - - - (ii) \\ from \: (ii) \\ x = 18 - y \\ substitute \: for \: x \: in \: (i) \\ (18 - y)y = - 40 \\ 18y - {y}^{2} = - 40 \\ {y}^{2} - 18y - 40 = 0 \\ use \: the \: quadratic \: equation \: to \: get \: y \\ and \: y \: will \: give \: u \: x[/tex]
x = 20
hence y = 18-20
y = -2
or
x = -2
hence y = 18-(-2)
y = 20
The numbers are -2 and 20
please help and thank you!
9514 1404 393
Answer:
base area: 21 ft²volume 105 ft³Step-by-step explanation:
The area of a triangle is given by the formula ...
A = (1/2)bh
The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.
A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area
__
The volume is the product of the base area and the height:
V = Bh
V = (21 ft²)(5 ft) = 105 ft³ . . . . volume
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $18,000.00, how much was the car worth when she bought it?
Answer:
$20,000.00
Step-by-step explanation:
90% = 0.90
18000/0.90 = $20,000
CHECK
0.90 x $20,000 = $18,000
Anthony is preparing to paint a large shipping container and needs to calculate the area of the container so he can buy the correct
amount of paint. The equation he uses to find the area, A, in square feet is A = 2(w + hw +1h) where / is the length, w is the width,
and h is the height of the container. The container is 8 feet wide, 12 feet high, and 24 feet long. What is the area of the container
in square feet?
Answer:
1152 square feetStep-by-step explanation:
The dimensions of the container:
w = 8 feet, h = 12 feet, l = 24 feetThe area of the container is:
A = 2(lw + hw + lh)A = 2(24*8 + 12*8 + 24*12) = 1152 square feet4 boxes can hold 40 books how many books per box
Answer:
10 books per box
Step-by-step explanation:
40÷4
=10
10×4= 40
You and a friend are buying lemons and sugar for a lemonade stand. You spend $14.45 to buy lemons and your friend spends $8.85 to buy sugar. How much does it cost to make the lemonade?
Answer:
23.3
Step-by-step explanation:
Answer:
$23.30
Step-by-step explanation:
Convert the equation from intercept form to standard form.
y= 3(x-1)(x-4)
Answer:
I think the answer is y = 3x + 12.
Step-by-step explanation:
y = 3 (x - 1) (x - 4)
y = 3x -3 (x - 4)
y = 3x + 12
find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively
Answer:
[tex]P(x)=x^2+x-6[/tex]
Step-by-step explanation:
Quadratic Polynomial
Assume we have a polynomial factored as:
P(x)=a(x-m)(x-n)
Where m and n are the zeros of P(x).
Operating:
[tex]P(x)=a(x^2-(m+n)x+mn)[/tex]
Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.
If we are given the zeros m=-3 and n=2, then:
[tex]P(x)=a(x^2-(-3+2)x+(-3)(2))[/tex]
[tex]P(x)=a(x^2+x-6)[/tex]
We can choose any value for a, for example, a=2:
[tex]P(x)=2x^2+2x-12[/tex]
For a=1:
[tex]P(x)=x^2+x-6[/tex]
You want to buy a DVD that costs $19.95. Estimate the total cost if the sales tax rate is 8%.
a. 21.00
B. 2.00
C. 1.60$ which is wrong
D. 22.00
Answer:
$22.00
Step-by-step explanation:
19.95x8%=1.596
19.95+16=21.55
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
What is the equation of the line shown in this graph?
Write an equation with the following: m=1/2 b=-9
Answer: y = 1/2x - 9
Step-by-step explanation:
Slope formula is y = mx + b
Substitute
y = 1/2x - 9
Answer:
y = 1/2x - 9
Step-by-step explanation:
Substitute for y=mx+b
Simplify the following expression:
__-16-8__ + 25 / 5 + 1
2
A. -18
B. 6
C. 10
D. -6
Answer:
-6
Step-by-step explanation:
Kim drives 156 miles from rotherham to london she drives at an average speed of 60 miles per hour she leaves rotherham at 7:30 am does she arrive before 10:00 am?
Given :
Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .
To Find :
Can she arrive before 10:00 am.
Solution :
Time taken to cover 156 miles with speed of 60 miles per hour.
[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]
To arrive before 10:00 am she has only 2.5 left.
But time taken is 2.6 hours which is greater than 2.5 hours.
Therefore, Kim cannot arrive there before 10:00 am.
Answer:
10am
Step-by-step explanation:
The price of one share of a stock increased by $3 on Monday and then decreased by $4 on Tuesday. Which expression shows the change in the price of a share of the stock in two days?
Answer:
I think it's 3+(-4)
Hope this helps
What is the value of a, if the graphs of 3y + x = 0 and 4y + ax + 3 = 0 are to meet at a right angle?
Answer:
a = -12
Step-by-step explanation:
For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.
The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).
The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)
Since the product of the slopes is -1, we can set up an equation now.
-1/3 * -a/4 = -1
a/12 = -1
a = -12
Find the slope of the line that contains (6, 2) and (6, -3).
A -1
B -5
C undefined
D 0