Answers
Answer:
Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:
154 m²
Step-by-step explanation:
To solve, use the formula for the area of a circle.
Formula for area of a circleRemember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!
[tex]A = \pi r^{2}[/tex]
From the question, we know:
π = 22/7d = 14 mTo use the formula, we need the radius ("r").
Radius ("r")The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.
Diameter ("d")The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.
Solve for "r".
r = d/2
r = (14 m)/2
r = 7 m
Solve for area using formulaSubstitute r = 7 m and π = 22/7 into the formula for the area of a circle.
[tex]A = \pi r^{2}[/tex] Start with the formula and substitute.
[tex]\displaystyle{A = \frac{22}{7} (7\ m)^{2}}[/tex] Square "7" and the "m".
Remember that the answer for area is always squared units.
[tex]\displaystyle{A = \frac{22}{7} (49\ m^{2})}[/tex]
Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).
[tex]\displaystyle{A = \frac{22*49}{7}m^{2}}[/tex] Simplify the numerator.
[tex]\displaystyle{A = \frac{1078}{7}m^{2}}[/tex] Divide.
[tex]A = 154\ m^{2}[/tex] Final answer
∴ The area of the circle is 154 m².
Related Questions
The Math Campers are grouped into groups with 9 members each. Each group is asked to form a circle and they will be sitting on the ground. If the seating arrangement is circular, in how many possible ways can the 9 members be seated?
A. 40320
B. 362880
C. 5040
D. 720
Answers
Answer:
B. 362880
Step-by-step explanation:
! means permutation which means
arrangement of people or things in
sequence or
linear order
9! = 362880
9! = 9*8*7*6*5*4*3*2*1 = 362880
All of the following equations are true except?
Answers
3 is not true (x5 y3)4= x20 y12
Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.
Answers
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
What is the inverse of the function below?
f(x) = 3^x
---
OA 1-1(x) = logg
.
B. -() = log, 3
c. 1-2(1) = 3log(7)
D. 12() = log(31)
Answers
Original: y = 3^x
---To find the inverse, switch the x and y, then solve for y.
Inverse: x = 3^y
---Take the log base 3 of both sides to get y by itself
Answer: [tex]log_{3}(x) = y[/tex]
[tex]y = log_{3}(x)[/tex]
Hope this helps!
3x-10=16+10
Solve.
This is easy.
Answers
Answer: X = 12
Step-by-step explanation:
Step-by-Step Explanation:
3x - 10 = 16 + 10
3x = 16 + 10 + 10
3x = 36
x = 36/3
=> x = 12
Therefore, x = 12
please answer asap!! show work!
12. What is (f - g)(x)?
f(x) = 4x4 - 5x2 + 2
g(x) = x3 - 2x2 + x - 4
Answers
Answer:
[tex]4x^4-x^3-3x^2-x+6[/tex]
Step-by-step explanation:
1. [tex](f-g)(x)=(4x^4-5x^2+2)-(x^3-2x^2+x-4)[/tex]
2. [tex]4x^4-5x^2+2-x^3+2x^2-x+4[/tex]
3. Simplify = [tex]4x^4-x^3-3x^2-x+6[/tex]
3x+4=25 what does x stand for
Answers
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
Yesterday the price of a can beans at five supermarkets was $2.02, $2.11, $1.99,$2.32, and $2.26, respectively but today each supermarket raised it's price by $0.10. what today's mean price of a can of beans at five supermarkets?
a.2.14
b.2.34
c. 2.24
d.2.04
Answers
Answer:
the answer is C
Step-by-step explanation:
add them all together with the 0.10C increase which gives you 11.2 then divide by the number of different beans which is 5 and it gives you 2.24
Reasoning: add together all the values + $0.50 ($0.10 for 5 supermarkets), then divide that number with 5 to get the mean or average.
3. A _ is a figure that extends endlessly in all directions.
Answers
Answer:
A plane is a flat surface that extends endlessly in all the directions.
PLS MARK ME AS THE BRAINLIST!!
Anthony painted 2 triangles of the same size on the top corners of his house
for Sports Day. What is the total area of both triangles?
16 cm
16 cm
24 cm
Answers
Answer:
256cm
Step-by-step explanation:
I'm assuming 16 and 16 are the 2 legs of the triangle.
The equation to get the area of a triangle is b x h /2
16cm x 16cm / 2 = 128cm
128cm x 2 triangles = 256cm
2xy - 3x2y2 + 2xy +5x2y2
Answers
Give one solution for in each of the following statements.
25≡ 5
36≡ 8
50≡ 9
Answers
So
#1
25=5xx=25/5x=5#2
36=8xx=36/8x=9/2x=4.5#3
50=9xx=50/9x=5.55Answer:
25 = 5
x = 25 - 5
x = 20
38 = 8
x = 38 - 8
x = 30
50 = 9
x = 50 - 9
x = 41
1
Select the correct answer.
If function g has the factors (x-7) and (x + 6), what are the zeros of function g?
OA.
-7 and 6
OB. -6 and 7
OC. 6 and 7
OD. -7 and-6
Reset
xt
Answers
The zeroes of the function g will be 7 and negative 6. Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
If function g has the factors (x-7) and (x + 6).
Then the zeros of function g will be
For the zeroes of the function, then put the factors equal to zero. Then we have
x - 7 = 0 and x + 6 = 0
x = 7 and x = -6
Then the zeroes of the function g will be 7 and negative 6. Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
Kevin invest $2,000 at 4.6% compounded continuously. How long will it take him to have $3,700
Answers
Answer:
t=In(37/20)/0.046
Step-by-step explanation:
p=2000
r=0.046
A=3700
t=?
3700=2000e^0.046t
switch sides
2000e^0.046t=3700
Divide both sides by 2000
$2000e^0.046t/2000=$3700/2000
Simplify
e^0.046=37/20
Apply exponent rules
0.046=37/20
Solve 0.046t = ln(37/20)
t=In(37/20)/0.046
Nina used 2 litres of paint to paint a wall.
The wall was a rectangle 2 metres high and 4 metres wide.
How many litres of paint would she need to paint a rectangular wall which is
2.5 metres high and 8 metres wide?
Answers
find the difference between 0.1kg and 75kg
Answers
Answer:
25 gm
Step-by-step explanation:convert kg in gr
therefore
0.1 * 1000 = 100 gm
now take difference :-
100 - 75 = 25 gm
The sides of a triangle are 77, 56, and 59. Use the Pythagorean Theorem to determine
if the triangle is right, acute, or obtuse.
the
The triangle is y because the square of the largest side
sum of the squares of the other two sides.
Answers
Step-by-step explanation:
59^2+56^2=77^2
3481+3136=5929
no not right triangle
im guessing its and acute triangle
i don't understand what else your trying to ask after that
Answer:
obtuse and greater than
Step-by-step explanation:
obtuse and greater than
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answers
Answer:
w = 70
Step-by-step explanation:
I use the angle ABC method:
angle ABC + angle ACB + angle BAC = 180°
(w - 1)° + 73° + (w - 32)° = 180°
w = 70
HOPE THIS HELPS AND HAVE A NICE DAY <3
*2.) Which trinomial is equivalent to 4(x - 5)^2– 3(x - 2)?
Answers
Answer:
4x² - 43x - 106
Step-by-step explanation:
4(x - 5)²– 3(x - 2)
4(x - 5)(x - 5) - 3 (x - 2)
distribute
4(x(x - 5) - 5(x - 5)) - 3 (x - 2)
4(x² - 5x - 5x - 25) - 3 (x - 2)
↓
combine like terms ↓
4(x² - 10x - 25) ((( ↓
distribute again ↓
4x² - 40x - 100 ↓
↓
distribute ↔ ↓
4x² - 40x - 100 - 3 (x - 2)
4x² - 40x - 100 - 3x + 6
add
4x² - 40x - 106 - 3x
combine
4x² - 43x - 106
A pair of shoes cost $92. What would be the total cost with 7% sales tax
Answers
Answer:
$98.44
Step-by-step explanation:
take $92 x .07 = $6.44 (tax amount)
$92+$6.44=$98.44
Which figures demonstrate a single translation?
Select each correct answer.
Answers
Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation. As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
Given-Given option shows the different translation and rotation of the original figure. It has to be known about the translation before checking the correct option.
What is translation?Translation of a figure is the situation when a figure is moves from one place to another place. The size of the figure does not changes in translation. The figure does not rotate in the translation.
In option 1 the object flips to the opposite side of the figure figure. Thus the option 1 does not demonstrate the single translation.In option 2 (right to the first option) the figure flips to the opposite side of the original figure and then translate to other location. Thus the option 2 does not demonstrate the single translation.In option 3 (below the first option) the figure moves to southeast direction to its position. Thus the option 4 demonstrate the single translation. Therefore option 4 is the correct option.In option 4 the figure moves to right from its location. Thus the option 3 demonstrate the single translation. Therefore option 3 is the correct option.As the option 3 (below the first option) and 4 demonstrate the single translation hence, option 3 and 4 is the correct option.
Learn more about the translation here:
https://brainly.com/question/933695
34. What are the signs and symptoms of MERS?
Answers
Answer:
People with MERS may experience a fever, cough, or shortness of breath. They may also experience chess pain, fatigue, chills, loss of appetite, body aches, diarrhea, nausea, vomiting, congestion, sneezing, headaches, or a sore throat.
Step-by-step explanation:
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 2 x squared. G (x) = negative 2 x squared
a.
f opens downward; g opens upward; both pass through different y-intercepts
b.
both open downward; both pass through (0, 0)
c.
both open upward; both pass through different y-intercepts
d.
f opens upward; g opens downward; both pass through (0, 0)
Answers
The function f(x) opens upwards, while g(x) opens downwards, and both functions pass through (0, 0), so the correct option is d.
What are the similarities/differences observed?
Here we have the two functions:
[tex]f(x) = 2x^2[/tex]
[tex]g(x) = -2x^2[/tex]
Notice tat g(x) = -f(x), which means that g(x) is a reflection across the x-axis of f(x).
The graphs of these functions can be seen below, the one that opens upwards is f(x), the one that opens downwards is g(x).
Then we can conclude that the true statement is:
"f opens upward; g opens downward; both pass through (0, 0)"
If you want to learn more about functions:
https://brainly.com/question/4025726
#SPJ1
Surface area of chili deer
Answers
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]
Enter the number that belongs in the green box.
y=[?]
Answers
Answer:
60 degrees
Step-by-step explanation:
As shown, this is a equilateral triangle which has the same angle measures.
According to the Triangle Sum Theorem, the sum of all three angles in a triangle is 180 degrees.
Thus,
180 (The sum of all angles in a triangle) /3 (The amount of angles in a triangle) = 60 degrees.
60 because all of the side are equal so it would be 180 divided by 3.
What is the volume of the rectangular prism?
Type the answer in the boxes below.
Answers
Answer:
3.75 cubic centimeters
Step-by-step explanation:
1.5*2.5*1 cubic centimeters
Answer:
3/20
Step-by-step explanation:
1/2 x 3/5 x 1/2
L x W x H is the formula
Length x Width x Height
count the squares, they're each 1/2 so multiply the number of squares with 1/2.
For example, the rectangular prism is 3 squares high, which means it's 3/6, and that simplifies to 1/2. Now you have your height. You do the same for the width and length.
Hope this helps <3
1. DC↔ means “ _____ DC”
A. line DC
B. ray DC
C. line segment DC
D. angle DC
2. ST→ means “_____ ST”
A. line ST
B. ray ST
C. angle ST
D. line segment ST
Answers
2. ray
how this helps
Estimate the value of
Answers
Answer:
The given equation results in 1.98, so the answer is D) 2
✏ [tex]\sf Solve[/tex]
[tex]\sqrt{2} = 1.41\\\\1.41 * 3.14 = 4.4274\\\\\sqrt{5} = 2.23\\\\\frac{4.4274}{2.23} = 1.98[/tex]
22 out of the 55 teachers in a
school staff meeting were first-year
teachers. What percentage of the
teachers in the meeting were first-
year teachers?
Answers
Answer:
40%
Step-by-step explanation:
Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.
Use the image of the L-shaped composite figure formed by two rectangular prisms to answer the question.
4 cm
8 cm
2 cm
14 cm
20 cm
What is the volume for the figure in cubic centimeters?
Enter your answer as a number, like this: 42
Do not enter units.
Answers
Just to have fun, I have written a transcript scenario. Your answer is in the paragraph as if I was teaching it! Hope this improves the quality of the answer, if it hasn't just give your review! Have a nice day!
All right. So you want the surface area for this composite figure? So, the surface area, we're going to split into two different shapes. So, I'm gonna do this shape here. That's kind of up. And then I'll do this one. That's kind of flattered. Okay, so when we look at the base, because our surface area formula, let's start with. That is perimeter times high plus two times the area of the base. So, I need the perimeter of this. This is my base, right? I'm thinking about the one that's on the bottom that I can't see. So this is 20 and four. So when you do perimeter, I'm gonna say 20 plus 20 Plus four Plus 4. That's perimeter. The height is eight plus two. And then my area of the base is the two numbers I used in the first parentheses. So four times 20. Okay, so let's see. 20 plus 20 is 40, 40-plus 8 is 48. 48 times eight Is 3 84. Okay. Plus four times 20 is 80, maybe times two is 1 60. If I add all this together And your calculator or do it by hand, you get 5:44. So that is the surface area for the shape that I drew mostly over just now. Let me do it in red for the next one. So my base for this one, I'm actually gonna use 20 and 14 for my perimeter. So the same kind of steps, 20 plus 20 plus 14 plus 14. And then my height is too Plus two times the area of the base. So 20 times 14. So 40 plus 28. Because that's what 14 plus 14 is is 68 68 Times two for the height. So I get 1 36 plus And now 20 times 14 gives you 2 80 times two. It's 5 60 Plus 1 36. So I'm adding these together now And you get 6 96. Alright, We're almost done. Now. We have to take our first answer and add it To our second answer. So 6 96. So 6 96 plus 5 44. You can use your calculator, you get 1240. And if you wanted to use correct units it's centimeters squared. Alright. I hope this helps.
Image attatched is the actual problem.
Answer:
did u guys ever figure it out
Step-by-step explanation: