The formula for area of a circle is r² x π.
Since we know the diameter, we can firstly divide by 2 to find our radius.
4/2 = 2
Now that we know the radius, we can substitute it in and square the value.
(2)² x π
(4) x π
Since we're finding the area in terms of pi, we won't multiply by pi, giving us the answer of 4π.
Therefore, the area of the circle is equal to 4π.
Hope this helped! :)
Answer:
If the diameter of the circle is 4 in. then the radius of the circle is 2
the formula for the circle area is
A = πr^2
r = radius
A = π * 2 * 2
A = 4πA = 12.57 if solved
Step-by-step explanation:
A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much would it cost to manufacture 6 paperweights?
Answer:
It would cost $232.32, this answer is rounded.
Step-by-step explanation:
The formula for the volume of a square pyramid is:
[tex]V=a^2\frac{h}{3}[/tex]
So its just:
[tex]8.8^2\frac{12.5}{3} = 322.67 cm^3[/tex]
Then you just multiply the volume by the cost per cubic centimetre:
[tex]322.67cm^3*$0.12=$38.704[/tex]
After just multiply the cost of one by how many you want, which is 6:
[tex]38/704*6=232.32[/tex]
The cost to manufacture 6 paper weight is $232.32
Volume of a square pyramid:v = 1 /3 b²hwhere
b = base
h = height
Therefore,
v = 1 / 3 × 8.8² × 12.5
v = 1 / 3 × 77.44 × 12.5
v = 968 / 3
v = 322.666666667 cm³
1 cm³ = $0.12
322.67 cm³ = ?
cost of a paperweight = 322.67 × 0.12 = $38.72
Therefore,
1 paper weight = $38.72
6 paper weight = ?
cross multiply
cost of 6 paper weight = 6 × 38.72
cost of 6 paper weight = $232.32
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Need help with this pls!!
(Show work pls!!)
Answer:
Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars.
Step-by-step explanation:
Let's set Mark's salary as x.
Steven=x+3
Last Friday, Steven earned 5(x+3) dollars, while Mark earned 6x dollars.
We can write the sum of these salaries as:
5(x+3)+6x=147
5x+15+6x=147
11x+15=147
11x=132
x=12
Then, we can substitute x with 12.
Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars.
Answer: Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars
Step-by-step explanation:
Can someone please help what would the chord, radius , diameter and secant be
Answer:
DB is a chord, CG is the radius, AB is the diameter, and MN is a secant.
Answer:
see below
Step-by-step explanation:
The diameter goes from one side to the other passing through the middle
AB is the diameter
Radius goes from one side to the middle
AC or BC is the radius
The chord connects two points on the circles edge
BD AB are chords
Secant is a line that intersects the circle at two points
MN is the secant
In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?
Answer:
72 dessert options available
Step-by-step explanation:
3*6*4=72
which number is a rational number
49. 9/2 13/16 34
Answer:
49.9
Step-by-step explanation:
select the function that represents a parabola with vertex at (2,-1) and a point (5,8) on its curve
a.) f(x)=2(x+2)^2-1
b.) f(x)=(x+2)^2-1
c.) f(x)=(x-2)^2-1
d.) f(x)=2(x-2)^2-1
Answer:
Correct answer is c.) [tex]f(x)=(x-2)^2-1[/tex]
Step-by-step explanation:
The vertex form of a parabola can be written as following:
[tex]y = a(x-h)^2 + k ....... (1)[/tex]
[tex](h,k)[/tex] is the co-ordinate of vertex.
[tex]a[/tex] is a constant whose positive or negative value decides where the parabola opens (up or down).
[tex](x,y)[/tex] are the points on parabola.
[tex]y[/tex] and [tex]f(x)[/tex] are interchangeable terms. We can use any of them.
For convenience with the co-ordinates in [tex]xy-[/tex]plane, [tex]y[/tex] is used here.
We are given that vertex is at (2,-1) and there is a point (5,8) on the curve.
i.e. h = 2 and k = -1,
x = 5 and y = 8
Putting the four values in equation (1):
[tex]8 = a(5-2)^2 + (-1)\\\Rightarrow 8 = a(9) -1\\\Rightarrow 9 = 9a \\\Rightarrow a = 1[/tex]
Putting values of [tex]a[/tex] and [tex](h,k)[/tex] in equation (1) to find the equation of parabola:
[tex]y=(x-2)^2-1[/tex]
As told earlier as well, [tex]y[/tex] and [tex]f(x)[/tex] are interchangeable terms.
So, correct equation of parabola is option C) [tex]f(x)=(x-2)^2-1[/tex]
a car rental company rents vehicles to groups one group rented 5 vans and 2 cars to fit 70 people another group rented 3 vans and 4 cars to fit 56 people each vehicle was completely filled how many people fit in a van how many people fit in a car
Answer:
12 people fit in a van, 5 fit in a car
Step-by-step explanation:
v is people in a van, c is people in a car
5v+2c=70
3v+4c=56
5v+2c=70
2c=70-5v
c=35-2.5v
now use substitution to plug in c
3v+4(35-2.5v)=56
3v+140-10v=56
140-7v=56
-7v=-84
v=12
now we know v, plug it in to find c
5(12)+2c=70
60+2c=70
2c=10
c=5
12 people fit in a van, 5 fit in a car
Given:
m < ark VC = m < ark VE
Prove: QV·KV = LV·PV
Answer:
this is a no solution
Step-by-step explanation:
Someone help me I really need it I really need it
Answer:
168in
Step-by-step explanation:
What is the measure of angle c
A)35
B)60
C)110
D)120
Answer: I believe that answer is D.
Step-by-step explanation:
-The angle below it is also 120 degrees.
-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.
Right angle-is 90 degrees exactly
Hope this helps!
Answer:
yeah its most definitly D
Step-by-step explanation:
...
If one US dollar is worth 0.79 euros (the currency used by European countries), how many euros would $18 in
US dollars be worth?
1. 18.79 euros
2. 14.22 euros
3. 14.12 euros
4. 7.11 euros
pls help me out pls
Answer:
€14.22
Step-by-step explanation:
0.79 × 18 = 14.22
Answer:
Choice 2
Step-by-step explanation:
1 dollar: 0.79 euros=
18 dollars:x euros
x=18*0.79 or 14.22 euros. Hope this helps!
6x = -54
Help Please
Answer:
x=-9
Step-by-step explanation:
6x=-54
Divide both sides by 6.
-54/6 = -9
x=-9
Look at the attached picture
Hope it will help you
Plz hurry (Inequalities)
Answer:
its 6
Step-by-step explanation:
The answer is 6 because inequality means -Inequality (mathematics), a relation between two values when they are different.
Answer:
Step-by-step explanation:
-7
What is the kinetic energy of a 54 kg mass traveling at 15 meters per second?
kg * m/8
405
kg * m^2/8^2
6075
kg * m/8
420
kg * m^2/8^2
12,150
Given that an object with a mass of 54kg travels at 15m/s^2, determine the kinetic energy of the object.
KE = 0.5 x mv^2
M (mass) = 54kg
V (velocity) = 15m/s^2
Then, we plug the values in.
KE = 0.5 x 54(15^2)
Now, we solve.
KE = 0.5 x 54(225)
KE = 0.5 x 12150
KE = 6075
Now, that we have solved the formula, we can see that the kinetic energy of the object is 6,075J.
Thus, the kinetic energy of the object is 6,075J.
What information relevant to calculating are do we have available for this triangle?
Answer:
Well, since we are not given any graphics or additional information, I'll resort to listing four triangle area formulas:
1) triangle area = (1/2) * base * height
2) Heron's Formula ("s" = semiperimeter, which is the sum of all 3 sides divided by two)
triangle area = square root [s * (s - side a) * (s - side b) * (s - side c)]
3) For 2 sides and the INCLUDED Angle:
Area = side 1 * sine (angle A) * side 2
Step-by-step explanation:
a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation y=35795(0.83), where x represents the number of years since purchase and y represents the value (in dollars) of the car. How much will the car be worth five years after it is first purchased? How do you know? describe your calculation process.
We have been given that a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation [tex]y=35795(0.83)^x[/tex], where x represents the number of years since purchase and y represents the value (in dollars) of the car.
To find the value of car of after 5 years, we will substitute [tex]x=5[/tex] in our given equation as:
[tex]y=35795(0.83)^5[/tex]
[tex]y=35795\cdot (0.3939040643)[/tex]
[tex]y=14099.79598[/tex]
Upon rounding to nearest tenth, we will get:
[tex]y\approx 14099.8[/tex]
Therefore, the car will be worth $14,099.8 after 5 years it is first purchased.
Since $14,099.8 is less than original value of car, therefore, we know hat value of car is depreciating and $14,099.8 is correct answer.
We also know that an exponential decay function is in form [tex]y=a(1-r)^x[/tex], where,
y = Final value after t years,
a = Initial value,
r = Decay rate in decimal form,
x= Time.
[tex]17\%=\frac{17}{100}=0.17[/tex]
[tex]y=35795(1-0.17)^x[/tex]
[tex]y=35795(0.83)^x[/tex]
The bill at a restaurant is 37.52. Helen wants to leave a 15% tip. If Helen has $40, will she have enough money to pay the bill?
Answer:
No, she will go $3.15 above 40.
Step-by-step explanation:
1. Since the tip is 15%, you can either multiply 37.52 by 1.15 or 0.15. In the route of multiplying by 0.15, you need to add it to 37.52. I will multiply by 1.15 to make it easier.
2. 37.52x1.15 = 43.148 or about $43.15 (rounded).
Which expression is equivalent to
inverse operation for 20n=300
Answer:
n=15
Step-by-step explanation:
20n=300
divide by 20 on both sides
20n/20=n
300/20=15
n=15
Triangle M N L is shown. Angle M N L is a right angle. The length of N L is 15 and the length of hypotenuse M L is 25.
Given right triangle MNL, what is the value of cos(M)?
Three-fifths
Three-fourths
Four-fifths
Five-thirds
Answer:
4/5
Step-by-step explanation:
took it on edg
The value of cos(M) is determined as Four-fifths (4/5).
Length of adjacent side of the right triangle
The length of the adjacent side of the right triangle is calculated as follows;
adj² = hyp² - opp²
adj² = 25² - 15²
adj² = 400
adj = √400
adj = 20
Value of cos(M)
Cos (M) = adj/hypo
Cos (M) = 20/25
Cos (M) = 4/5
Thus, the value of cos(M) is determined as Four-fifths (4/5).
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PLZ HELP 40 MINUTES LEFT
Which equation can be used to represent the statement?
The sum of one-sixth of a number and negative two is equal to negative two-thirds.
One-sixth + n = negative 2 + two-thirds
One-sixth + n = negative 2 + (negative two-thirds)
One-sixth n + 2 = negative two-thirds
One-sixth n minus 2 = negative two-thirds
Answer:
It's the last one: One-sixth n minus 2 = negative two-thirds
Step-by-step explanation:
Hope this helps!!
The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.
Answer:
a is the correct answer in e2020
Step-by-step explanation:
Based on the calculations, the row operation (-2R₁ + R₂ → R₂) is equal to:[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
How to determine a row operation?First of all, we would write a matrix to represent the number of tickets sold and the total cost of the tickets for three performances as follows:
[tex]\left[\begin{array}{cccc}3&12&8&102\\6&10&6&102\\0&15&5&85\end{array}\right][/tex]
Next, we would perform this row operation (-2R₁ + R₂ → R₂):
[tex]\left[\begin{array}{cccc}3&12&8&102\\(-2\times 3+6)&-2\times 12+18)&-2\times 6+6)&-2\times 102+162)\\0&15&5&85\end{array}\right][/tex]
Evaluating further, we have:
[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
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Complete Question:
The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.
[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
What is the result of performing the row operation (-2R₁ + R₂ → R₂) on this matrix?
Solve for all values of x by factoring.
x^2-x=3x
Answer:=0,4
Step-by-step explanation:
If RS = 30 degrees, then m
Answer: 30degrees
Step-by-step explanation:
Look at the graph of the functions. Given the original function, f(x)=x to the square root,what is a possible equation for the translated function, g(x)?
Answer:
c
Step-by-step explanation:
Answer:
The answer is c look at the picture below
Step-by-step explanation:
Find the volume of this prism 5cm,12,cm 15cm,6cm 8cm
Answer:
840 cm³
Step-by-step explanation:
In the figure attached, the prism is shown.
The prism can be divided into two rectangular prisms, one at the top, with dimensions 5 x 4 (= 12 - 8) x 6 cm, and the other one at the bottom with dimensions 15 x 6 x 8 cm.
Area of the first prism: 5*4*6 = 120 cm³
Area of the second prism: 15*6*8 = 720 cm³
Then, the volume of the complete prism is 120 + 720 = 840 cm³
The required total volume of the complete prism is 840 cm³.
We have to determine, The volume of the prism 5cm,12,cm 15cm,6cm 8cm.
According to the question,
The prism can be divided into two rectangular prisms,
First part at the top, with dimensions [tex]= 5 \times 4 \times( 12 - 8) = 5\times 4 \times 6 cm,[/tex]
And the other part one at the bottom with dimensions [tex]= 15 \times 6 \times 8 cm.[/tex]
Area of the first prism: [tex]5\times4\times6 = 120 cm^{3}[/tex]
Area of the second prism: [tex]15\times6\times8 = 720 cm^{3}[/tex]
Then, The Total volume of the complete prism is 120 + 720 = 840 cm³
Hence, The required total volume of the complete prism is 840 cm³.
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what's the answer?
the last part is nearest tenths
Jane drove 325 miles in 5 hours. At the same rate, how many miles would she drive in 7 hours? miles
Answer:
455 miles
Step-by-step explanation:
ANSWER QUICKLY. I GIVE BRAINLIEST AND A FOLLOW.
Answer:
(4,-3)
Step-by-step explanation:
This is where the 2 lines meet
Answer:
- 1/2
Step-by-step explanation:
edit (sorry i was wrong)
Which equation represents the graph below?
A. y=3x-2
B.y=-2x+3
C.y=3x-2
D.2x+3
Answer:
d
Step-by-step explanation: