Answers
Answer(s):
154 in²3168/7 km²38.5 m²Revising the area of a circle formula
We already know that the area of a circle is expressed as [tex]\pi r^{2}[/tex].
The "r" variable is known as the radius.Solving each problem given:Solving Problem 4:We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.
[tex]\implies \pi (7)^{2}[/tex]
Take π as 22/7
[tex]\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)^{2}[/tex]
[tex]\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)(7)[/tex]
[tex]\implies (22)(7)[/tex]
[tex]\implies 154 \ \text{in}^{2}[/tex]
Solving Problem 5:In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.
[tex]\implies \pi (12)^{2}[/tex]
Take π as 22/7
[tex]\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}[/tex]
[tex]\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)(12)[/tex]
[tex]\implies \dfrac{3168}{7} \ \text{km}^{2}[/tex]
Solving Problem 6:We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.
[tex]\implies \pi (3.5)^{2}[/tex]
Take π as 22/7
[tex]\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)^{2}[/tex]
[tex]\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)(3.5)[/tex]
[tex]\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)[/tex]
[tex]\implies 38.5 \ \text{m}^{2}[/tex]
Note: The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!
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Related Questions
PLEASE HELP!!! I NEED AN EASY ANSWER!!!
Answers
Problem 1: 4 Problem 2: 3,8,13,18,23
Step-by-step explanation:
Problem 1: 50 blue 50 yellow
half of yellow (25) are sprinkled
Half of blue (25) are sprinkled
The other 25 of the yellow have cherries
The other half of the 25 blue have nuts
---------------------------------------------------------------------------
-Every day he collects 5 more than the first time
T=65
5+10+15+20+25=75 so it has to be less than 5
4+9+14+19+24=70
3+8+13+18+23=65
day 1=3
day 2=8
day 3=13
day 4=18
day 5=23
PLEASE HELP!!!!!!! URGENT!
Drag the tiles to the correct boxes to complete the pairs.
Match each event to the likelihood of its occurrence.
Answers
Answer:
My explanation is below.
Step-by-step explanation:
rolling a six sided die and getting 7 = impossible
This is because a six sided die doesn’t even have the number 7 on it.
Randomly selecting a girl from a team of 14 boys and 4 girls = unlikely
This is because, if there are 14 boys and 4 girls, the girls have a lower chance of getting picked.
Randomly selecting a short straw from a set of 12 short straws and 12 long straws = neither likely nor unlikely
This is because the chance of picking a long straw is 12/24 and the chance of picking a short straw is 12/24 so it’s equal or neither unlikely or likely since you have a equal chance of picking either one.
Picking a bird from a list of 20 bird species and 6 other animals = likely
This is likely because, 20 is more than 6 and because there are 20 birds and 6 other animals, the birds are more likely.
picking a bird from a list with 6 other animals-likely
randomly selecting straws- neither likely or unlikely
randomly selecting a girl-unlikely
hope this helps :)
The dog park is 13 mile wide and 12 mile long. Shayna walks her dog, Buster, around the perimeter of the dog park two times. Explain how you determined whether Shayna and Buster walk more or less than 3 miles.
Answers
Answer:
Step-by-step explanation:
PERIMETER = 1/3 + 1/3 + 1/2 + 1/2 = 2/3 + 1 = 1 2/3 miles for 1 LAP.
For 2 LAPS, 2 x 1 2/3 = (2 x 1) + 2(2/3) = 2 + 4/3 = 2 + 1 1/3 = 3 1/3 miles
Or, 2 x 1 2/3 = 6/3 x 5/3 = 30/9 = 3 3/9 = 3 1/3 miles
Or, 2/1 x 5/3 = 10/3 = 3 1/3 miles
ANSWER: MORE THAN 3 MILES
=============================================================
Explanation:
We're given a 1/3 by 1/2 rectangle. The perimeter is:
P = 2(L+W)
P = 2(1/3+1/2)
P = 2(2/6+3/6)
P = 2(5/6)
P = 10/6
P = 5/3
The rectangle has a perimeter of 5/3 miles, which is equivalent to the mixed number of 1 & 2/3.
--------------
If Shayna and her dog walked the perimeter once, then the answer would be "less than 3 miles".
However, they walked around the park twice. We'll need to double the result.
2*(5/3) = 10/3 = 3 & 1/3
Therefore, they walked more than 3 miles.
Dave gave Heather directions on how to find where he had buried a box in his backyard. He didn’t want to make it easy for her, so he gave her complicated directions. This is what he said:
When you walk out of the back door of the house, you will be facing east. From there, walk straight ahead 10 feet. Turn 45° to your left, and then walk 5 feet. Next, turn 25° to your right and walk 12 feet. Finally, turn 110° to your right and walk 20 feet.
Based on these directions, which way will Heather be facing when she reaches the place where Dave buried the box?
Answers
Answer: She will be walking south or 90 degrees
Step-by-step explanation:
She walks ten spaces forward from where she started meaning the east
She turns 45 degrees left which places her at northeast
The walking doesn't affect her direction
So look at it like -45+25+110
This equals 90 degrees or south.
Answer:
Step-by-step explanation:
A right rectangular pyramid is sliced perpendicular to the base through the vertex.
What is the resulting shape of the cross section?
trapezoid
rectangle
triangle
Answers
A figure shows a triangle drawn inside a trapezoid. The area of the triangle is 445 in², and the area of the trapezoid is 2225 in². A point on the figure is randomly selected, and its location is recorded.
After 150 trials, the randomly selected point was in the triangle 48 times.
How does the experimental probability of a randomly selected point being in the triangle compare to the theoretical probability of the event?
The experimental probability of the event is
Choose... 20, 30, or 32
and the theoretical probability of the event is
Choose...20, 30, or 32
Therefore, the experimental probability is
Choose... equal to, greater than, or less than.
the theoretical probability.
Answers
1) 70%
2) 62.5
3) GREATER THAN
Answer:
32%
20%
greater than
Step-by-step explanation:
The experimental probability of the event is 32% and the theoretical probability of the event is 20%. Therefore, the experimental probability is greater than the theoretical probability.
PLEASE HELP !!!!!!
find the missing number on the number line
Answers
whats the answer
i dont know this
Answers
Answer:
9.2
Step-by-step explanation:
a^2 + b^2 = c^2 (pythogoras theorem)
7^2 + 6^2 = 85
Square root of 85 = 9.2 ( nearest tenth)
I think this is right if not srry :(
14.5.2: Suppose that we have an 8-sided die with 2 red sides, 5 yellow sides, and a blue side. What is the probability of rolling a yellow side?
Answers
Answer:
5/8 63% or .625
Step-by-step explanation:
Done.
Rosalyn has three different-shaped containers that contain marbles. She has 3 round containers, each holding 16 marbles.
She has 4 square containers, each holding 25 marbles. She has 2 rectangular containers, each holding 33 marbles.
How many marbles are in the containers altogether? Enter your answer in the box.
Answers
Answer:
42,996
Step-by-step explanation:
3*16+4*25+2*33=48+100+66=214
On the graph in the Sketchpad reflect ABC over the X axis. Then translate it 4 spots to the LEFT. Draw ABC in it's new location.
Make sure you label each of the points as to where they will be after the above transformation.
Answers
Answer:
the answer is:
Step-by-step explanation:
A will be at (0,2)
B will be at (3,9)
C will be at (3,2)
1. Interpret a Solution What does the area of the parallelogram represent? Explain.
Answers
Patricio deposits $500 in a savings account that pays 1.5% simple interest. He does not withdraw any money from the account, and he makes no other deposits.
How much money does Patricio have in the savings account after 5 yr?
Answers
Answer:
$537.50
Step-by-step explanation:
Initial Deposit = $500at a 1.5% interestSo . .
500.00 ×1.5 =7.5Then . .
7.5 is for 1 year so
7.5 × 5 = 37.5Then just add 37.50 to 500
Final outcome = $537.50Answer: He will have 3750 in 5 years.
Step-by-step explanation: You need to do 500x1.5x5. 500 dollars is the amount in the account. 1.5 is the interest. 5 is the amount of years.
can you please help me 50 POINTS!!!!
Answers
Answer:
The mean for the men is 20.2
The mean for the women is 18
I dont know the context but from what I can assume the men are heavier, or have more of something?
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 10 POINTS!!! Please help me fast!!
If an alloy requires copper, metal, and zinc in a ratio 12:5:3, how many kilograms of each metal are needed to make 5kg of the alloy
Answers
Answer:
3 kg of copper,
1.25 kg of nickel,
0.75 kg of zinc.
Step-by-step explanation:
i'm assuming you copied the question wrong and that the right metals are, copper, nickel* and zinc.
here's an explanation~
copper ; 12 x 1/4 = 3 kg
nickel ; 5 x 1/4 = 1.25 kg
zinc ; 3 x 1/4 = 0.75 kg
i hope this was helpful! <3
Brainliest, help, please, quickly! Thank youu
Answers
Select Statistical or Not Statistical to classify each question.
Answers
not statistical
statistical
Clark made five of his truck payments late and was fined five late fees. The total change to his savings from late fees was -$60. How much was one late fee?
$5
$12
$10
$60
Answers
It is financial literacy. i need help with just 2 questions
Answers
Answer:
1) cash
2) automatic payment
Which data set contains an outlier?
{6.1, 6.8, 7.3, 8, 9.1, 9.5}
{14, 15, 16, 20, 22, 25, 51}
{30, 31, 31, 32, 34, 37}
{11, 12, 12, 12, 13, 13, 14, 14}
Answers
Answer:
The second one has an outlier. (51)
Step-by-step explanation: I see a 51 and the rest are 14,15,20,22 which are all close to each other. 51 is much farther than those numbers.
Help me with this question please! how can you use multiplication to solve system of equations with the linear combination method? Edge answer please, Thank you!
Answers
Answer:
Put both equations into standard form (Ax+By=C).
Multiply one or both of the equations by a number so that you will have opposite coefficients on the same variable.
Add the two equations together. Add the x's, the y's, and the numbers.
Solve for the variable.
Take your answer from the last step and plug it into of the equations (pick the one that looks easiest).
Your solution will be in the form of a coordinate point (x,y).
Step-by-step explanation:
There are 50 marbles in a bag. Students picked a marble, recorded its color, and put it back in.
Each student separately carried out a different number of experiments. The table shows their results.
Estimate the probability of getting a green marble from this bag.
Answers
Answer:
It would be 1/4 or 25%
Step-by-step explanation:
done this before
Answer: 1/3
Step-by-step explanation:
The correct answer to this question is a 1/3.
Hope this helps a lot of people (please like and give brainliest)!
PLEASE HELP ASAP!!! The table shows the colors of the cars sold from a dealership over the last month. Based on this information which prediction about next month's car sales is most reasonable?
Answers
Answer:
answer is A cause white cars are cheaper
Step-by-step explanation:
they are cheaper than colored cars
Answer:
I would say c
Step-by-step explanation:
In the chart given when you compare the blue and silver cars, you can notice that the silver cars are twice the amount sold than the blue cars
Among Americans, 15% have a food allergy. A random sample of 11 Americans is selected.
a. Find the probability that more than 3 have a food allergy.
b. Find the expected value.
c. Find the standard deviation (rounded to 2 decimal places.)
Please make sure to answer thoroughly and explain step by step.
Thanks!
Answers
Answer:
A
Step-by-step explanation:
because it makes the most sense
Calculate.
6-[(-3)+(-7)]-[(-1)-(-5)-(-8)]
Answers
Answer:
if you calculate 6-[(-3)+(-7)]-[(-1)-(-5)-(-8)] you get 4
Step-by-step explanation:
step by step by step
i need some help with this!! i want my grade to go UP!
Answers
Answer:
O. - 0.543..., - √2, - 3√9, -√12
Step-by-step explanation:
#KEEP ON LEARNING :)
PLSS HELP!!! WIL GIVE BRANLIEST TO WHOEVER ANSWERS FIRST!!!!!
What is the range of the data set shown below?
{2, 4, 4, 6, 6, 8, 10, 11, 11, 11}
A. 6
B. 7.3
C. 9
D. 11
Answers
subtract the highest number from the smallest number: 11-2=9
hoped this helped!
Can anyone help with this problem??
Answers
Answer: 3 is the correct
Step-by-step explanation:
The factors of 18 are 1,18,2,9,3,6
The factors of 21 are 1,21,3,7
They both have three that goes into each number so that is your answer
26. A mathematics department has ten faculty members but only nine offices, so one office must be shared by two individuals. In how many different ways can the offices be assigned?
Answers
The different ways can the offices be assigned will be 36.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
It is given that:-
A mathematics department has ten faculty members only nine offices, so one office must be shared by two individualsThe number of the different ways are:-
[tex]^9C_2=\dfrac{9!}{(9-2)! \times 2!}[/tex]
[tex]^9C_2=\dfrac{9!}{(7)! \times 2!}[/tex]
[tex]^9C_2=\dfrac{9\times 8 \times 7!}{(7)! \times 2!}[/tex]
[tex]^9C_2=\dfrac{9 \times 8} 2}\ =36[/tex]
Therefore the different ways can the offices be assigned will be 36.
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A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid? 4 in. 12 in. 24 in. 36 in.
Answers
Answer: 4 inches
Step-by-step explanation: 1,944 / 18/ 9 / 1/3 = 4
Based on the calculations, the height of this pyramid is equal to: D. 36 inches.
Given the following data:
Volume of pyramid = 1,944 cubic inches.Dimensions of rectangular base = 18 inches by 9 inches.How to calculate the height of this pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × b × h
Where:
b is the base area.h is the height.For the base area, we have:
Base area = length × breadth
Base area = 18 × 9
Base area = 162 square inches.
Substituting the given parameters into the formula, we have;
1,944 = 1/3 × 162 × h
1,944 = 54h
h = 1,944/54
Height, h = 36 inches.
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