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The formula for finding the area of a circle is
[tex]A=\pi r^{2}[/tex]Notice that only the radius is squared.
We are given the radius of the circle: 21 cm.
We plug the value of r into the formula:
A=π(21)²A=π(441)A=1,385 cmHope this helps. Use the comment section to clarify your doubts.
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Answer:
A=1.386 cm²
Step-by-step explanation:
[tex]\sf\bf A = \pi \times r \times r[/tex]
[tex]\sf\bf = \frac{22}{7} \times 21 \times 21[/tex]
[tex]\sf\bf = \frac{22}{\cancel{7}} \times \cancel{21} \times 21[/tex]
[tex]\sf\bf = 22 \times 3 \times 21[/tex]
[tex]\sf\bf = 66 \times 21[/tex]
[tex]\sf\bf = 1.386 \: {cm}^{2}[/tex]
The hypotenuse of a 30°-60°-90° triangle is 18. Find the lengths of the other sides.
Answer:
9, 9√3
Step-by-step explanation:
The ratios of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
The shortest is half the longest. If the longest is 18, the others are 9, 9√3.
Use the graph method to solve the system of Linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3, 0)
If [tex]f(x) = x[/tex]² [tex]-x+3[/tex], then what is the reaminder when [tex]f(x)[/tex] is divided by [tex]x+9[/tex]?
Answer:
Remainder is 93
Step-by-step explanation:
Use synthetic division:
-9 | 1 -1 3
____ -9 90
1 -10 | 93
Therefore, the remainder is 93
Mr.Hickory’s Tree farm spent $2,300 on seeds and supplies to grow 80 trees. Write an inequality to determine how much Mr. Hickory needs to charge for each tree in order to make a profit of at least $2500.
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500
Let x represent the amount of money charge for each tree.
The cost of growing the trees is $2300.
The revenue = 80x
Profit = Revenue - cost
Hence, to make a profit of at least $2500:
80x - 2300 ≥ 2500
80x ≥ 4800
x ≥ 60
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.
Find out more on profit at: https://brainly.com/question/1078746
The gas tank on a car holds 13.3 gallons. If the car goes 199.5 miles on a single tank, how many miles per gallon does the car get?
Answer:
292.6
Step-by-step explanation:
Write the percent as fraction or mixed number in simplest form 34%
Answer: 34/100
Step-by-step explanation:
it is 34% out of 100, so it is 34/100. Reduced is 17/50
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
Pencils are on sale for 25 for $1.25. Based on this rate, how much would one pencil cost?
Answer:
$0.05
Step-by-step explanation:
1.25/25=0.05
The polynomial p(x) = 5x^2 – 9x2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
You put $400 in an account account balance nine months later is now $418 what is the annual interest rate
Answer:
6% a year
Step-by-step explanation:
r=(1/t)(A/p-1)
r= 1/9((418/400)-1) = 0.005
0.005*100 (for percentage) = 0.5%
rate monthly is 0.5%
0.5*12= 6
yearly is 6%
Mr. Hare left at 8:00 a.m. and is traveling 40 miles per hour. Mrs. Hare left at 9:00 a.m. and is traveling at 50 miles per hour. If Mr. and Mrs. Hare are traveling the same direction, what time will it be when Mrs. Hare is at the same location as Mr. Hare?
A. 11:00 a.m.
B. 1:00 p.m.
C. 2:00 p.m.
D. 3:00 p.m.
Answer:
The answer is b
Step-by-step explanation:
During the 8-9 , Mr hare travel 40miles
For the time 9 onwards they travel concurrently,
Let x be the distance covered by both since they can only meet if they covered the sams distance,
x/50 = x/40 -1 ,where the 1 is the (8-9) 1 hr
x/40 - x/50 = 1
x = 200
Time take by Mr Hare = 200/ 40 = 5
from 8 add 5 hours will be 1
Note, i took this answer from an answer from another answer.
I’m unsure why I keep getting this wrong
Answer:
the answer is 5
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carryonlearing
Answer:
26/25x^2+25x or x=0,x=-1
Step-by-step explanation:
y = 7x
-14x + 2y = 0
The answer is no solution but please help with showing the work I’m stuck with it.
Answer:
-14x+2(7x)=0
-14×+14×=0
0=0
PLS HELP ME WITH THIS GEOMETRY QUESTION :000
Answer:
b. the triangles are congruent by ASA
explanation: you can see that both triangles share the same angles at M and P so they are the first angle then R is the second angle because this is a vertical angle in both triangles then they share a side because of R being the midpoint of PM
Shawn wants to save up for a birthday outfit. He figures he can save $25 each week from the money earns cutting hair. If he plans to spend less than $175 for the outfit, how many weeks will it take him save enough money to buy any outfit in his price range?
Answer:
7 weeks
Step-by-step explanation:
175 divided by 25 is 7
the question in the picture
Answer:
the answer is
[tex] {3}^{5} [/tex]
what's 298,987 divided by 98?
Answer: 3050.8877551
Step-by-step explanation:
what is 4 divided by 8
Answer:
0.4 or 2
Step-by-step explanati
that easy
Caleb’s receipt for lunch is shown below is Caleb pays with a $10 bill how much change will he receive
Answer:
Please attach the screenshot for the receipt so people can answer
Answer:
3.08
Explanation
3.79
+1.45
1.24
-----------
6.53
+ .39
-----------
6.92 Now
10.00
- 6.92
3.08
Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?
y=70+27x
Answer:
he starts with 70 and $45-18=27 so he makes $27 to add to those $70
Step-by-step explanation:
Find the product. Simplify your answer. (m–4)(2m+2)
Answer:
2m²-6m-8
Step-by-step explanation:
(m-4)(2m+2)
= (m+-4)(2m+2)
= (m)(2m)+(m)(2)+(-4)(2m)+(-4)(2)
= 2m²+2m-8m-8
= 2m²-6m-8
Please help me understand
Step-by-step explanation:
A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490
Option B is the correct answer
Solve for x, y, and z
Step-by-step explanation:
[tex]x = 46.16 \\ y = 23.00 \\ z = 55.7[/tex]
Frederick needs to borrow $3000 for a down payment on a new car. His uncle decided to loan him the money as a 2.1
%
%
loan. Frederick doesn't want to pay more than $189 in interest. How many years does Frederick have to pay back the loan?
Answer:
3 years
Step-by-step explanation:
$3000(.021)=$63 per year.
189/63=3 years.
A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 26 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon = 0.134 cubic ft.
Round your answer to two decimal places.
The cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Given:
Length = 25 yd
width = 26 yd
Height = 5.1 ft
convert yard to feet
25 yd = 75 ft
26 ft = 78 ft
Volume of the pool = length × width× height
= 75 × 78 × 5.1
= 29,835 cubic ft
1 gallon = 0.134 cubic ft.
222,649.3 gallon = 29,835 ft
charges per 1000 gallon = $1.50
Total charges = 222,649.3 gallon / 1000 gallon × $1.50
= 222.6493 × 1.50
= 333.97395
Approximately,
$333.97
Therefore, the cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Learn more about volume:
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Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a
prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?
Answer:
0.1536
Step-by-step explanation:
This is a binomial probability distribution with 2 successes in 4 trials.
The chance of a success is 1/5 = 0.2.
So there needs to be 2 successes and 2 failures in the 4 plays.
Reqd. Probability is 4C2*(0.2)^2(0.8)^2
= 0.1536.
What is the perimeter of the rectangle?
Answer:
6x+20 cm
Step-by-step explanation:
-formula : perimeter of rectangle=2(L+W)
L=2x+10 W=x
2(2x+10+x)
=2(3x+10) *distribute 2 on 3x ,10*
=6x+20 cm
A sequence of patterns is made from circular tiles and square tiles. Here are the first three patterns in the sequence:
a) How many square tiles are needed to make Pattern Number 7? [2 MARKS]
b) How many circular tiles are needed to make Pattern Number 20? [2 MARKS]
c) When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern: A - will always be even | B - will always be odd | C - could be even or odd | [2 MARKS]
!! PLEASE ANSWER ALL OF THE QUESTIONS !!
Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
__
a)7² = 49 square tiles are needed for pattern number 7.
__
b)4(20+1) = 84 circular tiles are needed for pattern number 20.
__
c)The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)
Madelyn hikes 190.5 meters up a
mountain. If she is 62% of the way
up, how tall is the mountain? Round
to the nearest whole meter.
It’s either C or D, but i’m pretty sure it’s C
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
2. Two angles that share a side and a vertex but do not overlap. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
3. Two angles whose measures add up to 180 degrees. *
Angle Addition Postulate
Adjacent Angles
Supplementary Angles
Vertical Angles
Answer:
1. vertical angles
2. Adjacent angles
3. Supplementary angles
Step-by-step explanation: