Answer:
b cot
Step-by-step explanation:
csc= 1 over sin
so
cos x 1 = cos = cot
1 sin sin
What is the area of a circular pizza with a radius of 9 cm?
O A. 1017.9 cm?
O B. 56.5 cm2
O C. 254.5 cm
O D. 28.3 cm2
someone helpp plss
Answer:
Step-by-step explanation:
C
The area of the circular shaped pizza is A = 254.5 cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the pizza be r = 9 cm
The area A of a circle with radius r is given by the formula:
A = πr²
Substituting the given radius of 9 cm, we get:
A = π(9 cm)²
A = π(81 cm²)
A ≈ 254.47 cm²
Rounding to one decimal place, we get:
A ≈ 254.5 cm²
Hence , the area of the circular pizza with a radius of 9 cm is approximately 254.5 cm²
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please please help me!!
Elite parking charges cost $15 for the first hour and $7 for each additional hour of parking. Write and equation to represent the cost (C) for parking (t) hours.
Answer: C(t) = 8 + 7t
Step-by-step explanation: 15 for first hour. 15 is constant and every hour after that is counted (t-1)·7, so 15 + 7(t-1) = 15 +7t - 7 = 8 + 7 t .
So when t = 1 C(1) = 15
Elite parking charges cost $15 for the first hour and then $7 for each additional hour then the equation for this will be C = $15 + $7(t).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the statement mentioned in the question,
Elite parking charges $15 for the first hour which is a constant value.
An additional charge is $7 for every extra hour.
So, the equation according to this is,
C = $15 + $7(t).
Here, C is the total cost and t is the number of hours of car parking, if the number of hours will increase the cost will also increase.
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What is the area of the figure below?
Use 3.14 for it.
fi6 cm
7 cm
A 42 cm
B 61.2 cm?
C 80.5 cm?
D 118.9 cm?
Answer:
option B
Step-by-step explanation:
The figure is combination of parallelogram and semi- circle. So,
area = area of parallelogram + area of semi-circle
[tex]Area \ of \ parallelogram = base \times height = 7 \times 6 = 42 cm^2\\\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = 19.2cm^2\\\\Therefore \ Area = 42 + 19.23 = 61.2cm^2[/tex]
What additional information is needed to prove that ∆LPM and ∆OPN are congruent by SAS postulate?
A. ∠P ≅ ∠P
B. ∠LPO ≅ ∠MPN
C. ∠LPM ≅ ∠OPN
D. ∠PON ≅ ∠PLM
Answer:
hggh
Step-by-step explanation:bmv,g,vg,cvbbgfghvc
You pick a card at random.
2 3 4 5
What is Podd or divisor of 10)?
Answer:
3/4 or 75%
Step-by-step explanation:
Let's 1st find the cards that can be chosen.
3 and 5 are odd and 2 is also a divisor of 10.
These are 3 cards so 3/4 is 75% chance you will get a card that is odd or a divisor of 10.
In a class of 20 students, 12 play table tennis,13 play cricket ball and 3 are not allowed to play either of the two games ...find how many student play
a)both table tennis and cricket ball
b)cricket ball only
c)table tennis only
Answer:
a)5
b)8
c)7
Step-by-step explanation:
Hope this helps
PLEASE I NEED HELP!!
Answer:
t=75
h=19
x=9
s=6
Your welcome (:
HELP ME [QUESTION IN IMAGE AND NOT THAT HARD EITHER]
Answer:
Button #4. The last button. 8p = t.
Step-by-step explanation:
This is because there are 8 pieces of string, and p is equal to the length of one string, so one string times 8 is the total length of all the strings.
Plz help j don't the answer to this
an isotope is an atom with a different number of____neutrons____ ,than a normal atom
A travel agent quotes the flight ticket price
for the employees of a company as follows:
When there are 25 people or less, the
ticket price for each person is $1000.
When there are more than 25 people,
with every additional person, the ticket
price for each person will drop by $20.
The lowest ticket price for any employee
is $700.
The company pays $27000 in total. Find the
number of employees going for the trip.
9514 1404 393
Answer:
30
Step-by-step explanation:
The total price for x employees will be ...
p(x) = {1000x for x ≤ 25; x(1000 -20(x -25)) for 25 < x ≤ 40; 700x for 40 < x}
We want p(x) = 27000.
We can check the value of x for the three different functions to see if it is in the specified domain.
1000x = 27000 ⇒ x = 27 (not in the domain of the first segment)
__
x(1000 -20(x -25)) = 27000
20x(75 -x) = 27000 . . . . . collect terms, factor
(x -37.5)^2 = -1350 +1406.25 . . . . . complete the squre
x = 37.5 ±√56.25 = 37.5 ±7.5 = {30, 45}
x = 30 is in the domain; x = 45 is not
__
700x = 27000
x ≈ 38.57 (not in the domain of the last segment)
__
So, the piecewise cost function will give a total cost of $27000 when the number of employees going for the trip is 30.
if a ball is a sphere with 10 inches, what is the volume in cube inches
Answer:
Step-by-step explanation:
I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!
The volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,
[tex]V=\frac{4}{3}\pi(10)^3[/tex] so
V = 1333.33π inches cubed
If the diameter is 10 and the radius is 5:
[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is
V = 166.67π inches cubed
Which of the following are equations for the line shown below? Check all that
apply.
(3.1)
O A. y = x-2
B. y-1 - (x-3)
O C. y=-x-2
D. Y + 4 = (x+2)
Answer:
y = x - 2. Notice that option A and B are same.
Step-by-step explanation:
Two points on the given line are (3, 1) and (-2, -4).
Slope = (y2 - y1)/(x2 - x1) = (-4 - 1)/(-2 - 3) = 1
Using y - y1 = m(x - x1) :
=> y - 1 = 1(x - 3)
=> y - 1 = x - 3
=> y = x - 2
Find the ratio of the areas of two circles with radii 4 and 12
Answer:
1:9
Step-by-step explanation:
~Refer to the attachment for the solution.
Given: F(x) = 2x 2 + 1, G(x) = 2x - 1, H(x) = x
F(x) + G(x) =
Answer: 2x(x+1)
Step-by-step explanation:
F(x) + G(x) =2x^2+1+2x-1
=2x^2+2x
=2x(x+1)
Answer:
6x
Step-by-step explanation:
i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1
with that into consideration we can simplify f(x)
f(x) = 2x*2+1
= 4x+1
question -> f(x) + g(x)
= (4x+1) + (2x -1)
1 and -1 can get cancelled and 4x + 2x = 6x
thus the answer is 6x
Determine if the relation is a function. Explain and
justify your answer.
By looking at the table, you can see that we have an x
that is paired with two different y's so this does not fit the
definition of a function which states that each x must
be paired with exactly one y.
select the correct answer from the drop-down menu
find the polynomial
(5) is the solution set of ___
A. X^2-5x + 25=0
B. X^2 + 10x + 25 = 0
C. X^2-10x+25=0
D. X^2+5x+25=0
Help if you know the answer plz and thank you!!
Answer:
-12 w^3
Step-by-step explanation:
-9w^3 - 3 w^3
Factor out the common term
w^3( -9-3)
w^3 (-12)
What is an equation of the line that passes through the points ( 3 , 1 ) and ( − 3 , − 7 ) ?
Answer:
y = 4/3x - 3
Step-by-step explanation:
Use this formula to find the slope first.
(y2 - y1) / (x2 - x1)
(x2, y2) --> (-3, -7)
(x1, y1) ---> (3, 1)
Now plug in:
(-7 - 1) / (-3 - 3) = -8 / -6 = 4/3
Now find the y intercept by plugging any points to y= 4/3x + b
I will use (3, 1).
1 = 4/3(3) + b
1 = 4 + b (subtract 4 on both sides)
-3 = b
So the formula is
y = 4/3x - 3
4.
Evaluate the expression.
33 + 2 x 20 - 4^3 =
[tex]20\% of gh 200 [/tex]
Answer:
answer
I think it's 40...
[tex]20\% \: \bold{of} \: 200 \\ \\ = \frac{20}{100} \times 200 \\ \\ = \frac{20}{ \cancel{100}} \times \cancel{200} \\ \\ = 20 \times 2 \\ \\ = 40[/tex]
Hope This Helps You ❤️How can 17% of 58 be calculated?
A. by dividing 17 by 58
B. by dividing 58 by 0.17
C. by multiplying 17 by 58
D. by multiplying 58 by 0.17
Answer:
D. by multiplying 58 by 0.17
[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]
Two times a number minus four times another number is ten, and four times the first
number minus four times the second number results in four. What are the two
numbers? Let the first number be x. Iand the second number be y.
Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
2x-4y=10
4x-4y=4
distribute first equation by -2 to eliminate x-values:
-4x + 8y = -20
+ 4x - 4y = 4
4y = -16
y = -4
solve for 'x':
2x - 4(-4) = 10
2x + 16 = 10
2x = -6
x = -3
The solution for the given system of equations is x = -3 and y = -4.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
This is a system of linear equations in two variables, x and y.
The first equation is:
2x - 4y = 10
The second equation is:
4x - 4y = 4
You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.
From the first equation:
2x - 4y = 10
2x = 4y + 10
x = 2y + 5
Substitute this expression of x in the second equation,
4(2y+5) - 4y = 4
8y + 20 - 4y = 4
4y = -16
y = - 4
Now, substitute this value of y in x = 2y + 5
x = 2 × -4 + 5
x = - 3
Hence, the solution for the system of equations is x = -3 and y = -4.
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Find the volume of this sphere.
Use 3 for TT.
V V ~
V = Tr3
[?]cm3
10 cm
helpppp
Answer:
10^3 = 1000
1000 x 3 = 3,000
3,000 x 4/3 = 4,000 cm^3 is your answer.
Step-by-step explanation:
Volume formula of sphere:
4/3 x pi(3.14 or 22/7 OR 3 like they said, depending on what they tell you to use for pi) x R(radius, half of your diameter or given radius)^3(to the power of 3)
4/3 x pi x radius being cubed
A rectangular tank is 20 cm wide and 25 cm long, the volume of tank is 5,250. What is the height of the tank?
Answer:
12
Step-by-step explanation:
michael Jackson
Answer
10.5
Step-by-step explanation:
to find volume is WxLxH. revurse it and divide volume by width and length to find height
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
solve the simultaneous equation 3a+4c= 67 5a+6c= 106
How many solution does the system of linear equations represented in the graph below have?.
Answer:
No solution
Step-by-step explanation:
The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.
A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its smallest face, the water is 5 feet deep. How deep will the water be if the box is resting on its largest face? Explain your reasoning.
Answer:
i, 1.875 ft
ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.
Step-by-step explanation:
i. How deep will the water be if the box is resting on its largest face?
Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.
V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³
This is also the volume of the water when it is resting on its largest face.
Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face
So, h' = V/A'
= 75 ft³/ (8 ft × 5 ft)
= 15/8 ft
= 1.875 ft
ii, Explain your reasoning.
Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.
HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
6 carp
8 bass
7 catfish
Answer:
18
Step-by-step explanation:
Take a breath :) . I've got your back.
If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.
7 of 21 were catfish.
If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?
Ratios are 7:21 and x:54, but we'll write them as fractions:
7/21 = x/54
Then cross multiply:
21x = (54)(7)
21x = 378
divide both sides by 21
x = 18
If she catches 54 fish total, we predict she will catch 18 catfish.
---------------------------------------------
If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.