radius= 10 m
to find:the area of the given circle.
solution:[tex]a = \pi {r}^{2} [/tex]
[tex]a = \pi \times {10}^{2} [/tex]
[tex]a = 314.15927 \: {m}^{2} [/tex]
[tex]a = 314 \: {m}^{2} [/tex]
therefore, the area of the given circle is 314 square meters.
[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]
In this question raduis is given so we'll simply have to solve.
Let's solve!
The area of a circle is π times the radius squared.
Substitute the values according to the formula.
[tex]a= \pi \times {10}^{2}[/tex]
[tex]a= 314.1592654 \: {m}^{2}[/tex]
Now, we can round off to the nearest whole number.
The value in tenths place is less than 5 so we won't have to round up.
Final answer:
[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]
Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.
A 100 N boxer punches a 10 kg punching bag with his fist using a 25 N force. Describe the
forces on the fist and the punching bag.
A) The force on the fist is greater than the force on the punching bag.
B) The force on the fist is equal to the force on the punching bag.
C) The force on the fist is smaller than the force on the punching bag.
D) Not enough information is given to determine which force is larger or smaller
Answer:
B
Step-by-step explanation:
B is the answer to your question
What am I supposed to do here? I will give BRAINLEST and say thank you.
Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.
Which data set could be represented by the box plot shown below?
Answer:
(D)
Step-by-step explanation:
The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.
__
Each data set has 11 elements, sorted into increasing order.
extremesThe first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)
medianThe median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)
quartilesThe first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)
Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.
The box plot represents the data set in Choice D.
Wyatt is paying back a loan with a nominal interest rate of 13.62%. If the interest is compounded quarterly, how much greater is Wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points
Answer:
d. 0.71 percentage points
Step-by-step explanation:
13.62 % is .1362 in decimal
quarterly period compounding makes periodic (quarterly) interes rate
= .1362/4 = .03405 per period
FOUR periods in a year
(1+ .03405)^4 = 1.1433
which means effective interest is .1433 or 14.33 %
14.33 - 13.62 = .7115 percentage points difference
Which expression shows 35+ 15 written as a product of two factors?
7(5+2)
5(6 + 3)
5(7 + 3)
7(5+3)?
Answer:
5(7+3)
Step-by-step explanation:
Because 7+3=10 and 10x5=50. And also 35+15=50 so 50 and 50
Hey there!
35 + 15
= 50
Option A.
7(5 + 2)
= 7(5) + 7(2)
= 35 + 14
= 49
49 ≠ 50
Option B.
5(6 + 3)
= 5(6) + 5(3)
= 30 + 15
= 45
45 ≠ 50
Option C.
5(7 + 3)
= 5(7) + 5(3)
= 35 + 15
= 50
50 = 50
Option D.
7(5 + 3)
= 7(5) + 7(3)
= 35 + 21
= 56
56 ≠ 50
Therefore, the answer should be:
Option C. 5(7 + 3)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
30. What is the length of XPY in terms of pie ?
675 m
225 m
457 m
15 m
Answer:
circumference = 2 x PI x r= 2 x 3.14 x 30 = 60 PIthe area from x to y = 90 degrees so XPY would be 360 - 90 = 270 degrees or 3/4 of a full circleso XPY = 60 x 3/4 = 45 PI meters
state the value of factorial 6 !
[tex] \\ [/tex]
ty! ._.
wich one is greatest?
A. 2.3 x 10
B. 8.6 x 10
C. 1.2 x 10
D. 3,600
Question 1(Multiple Choice Worth 4 points)
(13.07 MC)
Madge leaves her home at 8:05 to go to school. The drive takes one third hour each way. If she is at school for 7 hours, what time does she arrive home?
3:45
3:25
3:15
3:05
Answer:
takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45
HELP ASAP!! AND PLEASE EXPLAIN! The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.
Answer:
2,592,100 m³
Step-by-step explanation:
Volume of Square Pyramid
V = 1/3a²hV = 1/3(230)²(147)V = 49 x 52900V = 2,592,100 m³solve the expression 8+(9x1/3) divided by 3
Answer:
9
Step-by-step explanation:
8+(9x1/3) /3
=8+3/3
=8+1
=9
I really need help on this
Answer:
y=4
Step-by-step explanation:
steps
3×9+4y=43
4y=43-27
4y=16
Divide both side by 4
4y/4=16/4
y=4
What is the length of the two equal sides?
What is the length of the third side?
Answer:
Two equal sides: 15 centimeters, Third side: 21 centimeters
Step-by-step explanation:
Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)
Starting time: Elapsed time: 50 minute Ending time: 9:05 A.M.
[tex]help[/tex]
Answer:
8:15 am.
Step-by-step explanation:
So the starting time will be 50 minites before 9:05 am.
That will be 9:05 - 50
= 9:00 - 45
= 8:15 am.
Read the excerpt from President Reagan’s Address at Moscow State University. Some people, even in my own country, look at the riot of experiment that is the free market and see only waste. What of all the entrepreneurs that fail? Well, many do, particularly the successful ones; often several times. And if you ask them the secret of their success, they'll tell you it's all that they learned in their struggles along the way; yes, it's what they learned from failing. President Reagan includes the underlined question to
A. encourage audience interest and participation.
B. warn listeners against becoming entrepreneurs.
C. raise an objection to his own opinion and counter that argument.
D. reference a question in well-known literature and provide an answer.
Answer:
D. reference a question in well-known literature and provide an answer.
Step-by-step explanation:
Solve the following triangle.
Dont answer if you dont know the answer or report answer it wrong get an report
Step-by-step explanation:
2 things to remember :
1. the sum of all angles in a triangle is always 180°.
2. the law of sine
a/sin(A) = b/sin(B) = c/sin(C)
triangle 1 :
angle B = 180 - 62.2 - 43.8 = 74°.
a/sin(62.2) = 15.8/sin(74)
a = 15.8 × sin(62.2)/sin(74) = 14.53961961... in
c/sin(43.8) = 15.8/sin(74)
c = 15.8 × sin(43.8)/sin(74) = 11.37657122... in
triangle 2 :
14.9/sin(49) = 11.6/sin(A)
sin(A) = 11.6 × sin(49)/14.9 = 0.587559136...
angle A = 35.98398776...° ≈ 36°
angle C = 180 - 49 - 35.98398776... = 95.01601224...° ≈
≈ 95°
c/sin(95) = 14.9/sin(49)
c = 14.9 × sin(95)/sin(49) = 19.66708505...
newly weds triangle :
let's call the 2 sides a and b (25 m and 30 m).
the angle between them is 60°.
here we should use the extended Pythagoras for general triangles :
c² = a² + b² - 2×a×b×cos(C)
with c being the side opposite to the angle C.
so, we have in our case
c² = 25² + 30² - 2×25×30×cos(60) = 625 + 900 - 750 =
= 775
c = sqrt(775) = sqrt(25×31) = 5×sqrt(31) = 27.83882181... m
the area of the triangle we get via Heron's formula :
s = (a+b+c)/2 = (25+30+c)/2 = 41.41941091...
area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(s(s-25)(s-30)(s-c)) =
= sqrt(105,468.75) = 324.7595264... m²
with Php 2000 per m² this would cost
324.7595264... × 2000 = Php 649,519.0528...
Kylie buys a lamp with a price tag of $40. The sales tax rate is 5.25%. What is the total price of the lamp?
Simplify the expression using properties of exponents. 10a-8b-2/4a3b5
=52a−11b−7
Explanation:
10
a
−
8
b
−
2
4
a
3
b
5
Note:
a
m
a
n
=
a
m
−
n
Applying the above property to the exponents of
a
and
b
=
(
10
4
)
.
a
(
−
8
−
3
)
.
b
(
−
2
−
5
)
=
5
2
a
−
11
b
−
7
For any positive numbers a,b, and d, with b = 1, log b _= d•Log ba
Answer:
A^d
Step-by-step explanation:
An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?
The 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's assume the exponential growth is:
[tex]\rm y = Ae^{rt}[/tex]
From the problem:
[tex]\rm 130 = 20e^{5r}[/tex]
[tex]\rm e^{5r}= 6.5[/tex]
Taking ln both side:
We get:
r = 0.374
[tex]\rm 5000 = 20e^{0.374t}[/tex]
After solving, we get:
t = 14.76 ≈ 15 years
Thus, the 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ1
What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
3
Step-by-step explanation:
a²+6.1²=6.8²
a²+37.21=46.24
-37.21 -37.21
a² = 9.03
a = √9.03
a = 3
please help me with math i’d really appreciate it thank you
Answer:
Step-by-step explanation:
[tex]f(x) = \dfrac{2}{3}x-4\\[/tex]
When x = 0 ; f(x) = 0-4 = -4
When x = 3 ;
[tex]\sf f(3) =\dfrac{2}{3}*3-4\\\\ = 2-4\\\\ f(3) = -2[/tex]
When x = 6,
[tex]\sf f(6) = \dfrac{2}{3}*6-4\\\\ f(6) =2*2-4 = 4-4\\\\ f(6)= 0[/tex]
When x = -6;
[tex]\sf f(-6) =\dfrac{2}{3}*(-6)-4\\\\[/tex]
= 2*(-2)-4
= -4 - 4
f(-6) = -8
Please see question. Thanks
Answer:
Hello the answer would be A units up because my caluaitons Sense that it is A
Help me plsssssssssssss
Answer:
3/1/4
That's the expression represents Lena's speed in miles per hour
3(x+1)=5(x−2)+7
solve for x
30. Find the volume of the figure below.
21 km
15 km
19 km
9 km
Answer:
See below ....none of your answer choices 'fit'
Step-by-step explanation:
Break it into two pieces....a triangular prism and a square pyramid
prism volume = (area) * length
( 1/2 base * height) * length
Use pythagorean theorem to find height of triangular prism = 12
1/2 * 12 * 9 * 21 = 1134 km^3
Pyramid volume = 1/3 base * height =
= 1/3 * (9*21) * 7 = 441 km^3
Summed = 1575 km ^3
Point M(4, 3) is translated according to the rule (x,y) → (x+2, y-5). What are the coordinates of M'?
Answer: (6,-2)
Step-by-step explanation:
[tex]M'=(4+2, 3-5)=\boxed{(6,-2)}[/tex]
Which number line shows the solutions to x > 5?
OA. 8642 8 2 4 6 8
OB. 864-2 0 2 4 6 8
8-64-202468
4-202468
D. Pls help
Answer:
b.
Step-by-step explanation:
The inequality says that x is bigger than 5. The number line shows the arrow starting from 5 and going bigger. Therefore, that number line is correct.
Questions are on the picture, a-e.
What is equilibrium?
Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.
Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.
To learn more about equilibrium, please check: https://brainly.com/question/26075805
#SPJ1
How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.
Answer:
Step-by-step explanation:
The radius of the is extended to 2*3 = 6 cm.
The measure of the central angle is unchanged.
