Answer:
See solutions below
Explanation
We are to find the equation of circle A and B
The equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the centre and r is the radius
For Circle A that has center of (6, 7), and a radius of 4
Substitute;
(x-6)^2 + (y-7)^2 = 4^2
(x-6)^2+(y-7)^2 = 16
Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16
For circle B:
If circle B has a center of (2, 4), and a radius of 16
The equation is expressed as;
(x-2)^2+(x-4)^2 = 16^2
(x-2)^2+(x-4)^2 = 256
Hence the required equation is (x-2)^2+(x-4)^2 = 256
I will go down on you at this point
As an assistant in pet store, one of your responsibilities is to fill the aquariums with water. One 50-gallon aquarium is 36 inches long and 16 inches wide, and is filled to a depth of 20 inches. To the nearest whole number of cubic inches, how much water do you need to fill the aquarium to that depth?
Answer:
Eleven thousand five hundred and twenty
Step-by-step explanation:
E2021
Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
Please help . Write 405 in scientific notation 405
Answer:
4.05 x 10^2
Step-by-step explanation:
Please mark brainiest
and give 5 stars
Thanks
find the measure of angle STP
Box the greatest decimal and encircle the least decimal in each number.
1. 3.49 3.498 3.149 3.4
2. 333.5 333.56 33.356 3.987
3. 8.047 80.47 804.7 0.8047
4. 700.08 700.088 700.008
5. 0.123 0.457 0.127 0.0678
Answer:
From greatest to least
1) 3.498 3.49 3.4 3.149
2) 333.56 333.5 33.356 3.987
3) 804.7 80.47 8.047 0.8047
4) 700.088 700.08 700.008
5) 0.457 0.127 0.123 0.0678
Step-by-step explanation:
Explaining just 1st and 4th
1.The number 3.498 is bigger than 3.49 because it's basically this number 3.490
The same thing happens in 2nd and 3rd number 3.49 > 3.40
And the last number I think I don't have to explain :-)
4.700.088 is bigger because 700.08 is smaller
700.080
If you have any questions contact me on amino Ayleena
5
An atom silicon is approximately 0.00000000067 Imeters wide. How do you express that number in scientific notation?
A 6.7 x 1010
meters
B 67 x 10-10
meters
© 6.7 x 10-10 meters
11
D 6.7 x 10
meters
If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that
Answer:
$187.50
Step-by-step explanation:
Set up an equation
250 m/$x = 1 m/$0.75
Cross multiply
250 miles × $0.75 = 1x
$187.50 = x
1. What is the circumference of a tire with a diameter of 12 inches?
A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?
A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?
A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?
A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?
A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?
A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?
Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?
A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?
A18
B4.5
C27
D54
10. Which is true about the radius and diameter?
AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.
Answer:
1) A. 36
2) A. 10
3) B. 72
4) B. 42
5) A. 6
6) B. 90
7) C. less than
8) A. 22
9) D. 54
10) B. The diameter is two times the size of the radius.
Step-by-step explanation:
1) 12 x 3.14 = 36
2) 20/2 = 10
3) 12 x 2 x 3.14 = 72
4) 7 x 2 x 3.14 = 42
5) 36/3.14 = 12/2 = 6
6) 30 x 3.14 - 90
8) 11 x 2 =22
9) 9 x 2 x 3.14 = 54
I don’t know how to do these I need help
k = 15 is the answer!!!!!!
Permutations
How many different six-letter words can be formed from the word SCHOOL?
Answer:
Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil
Explicacion:listo :)
If the scale factor is 5/3 what is the width of the new rectangle?
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.
evaluate functions from their graph g(7)
Answer:
Evaluate functions from their graph g(7)= 4
Step-by-step explanation:
If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.
We should look for the point on the graph whose x-coordinate is 7.
The point on the graph whose xxx-coordinate is 7 is the point (7,4)
Therefore, g(7)=4.
Work out the size of angle x.
105°
to
Answer:
105
Step-by-step explanation:
cuz it is corresponding angle
A box has a height of 5 cm a Length
os 6 cm and a width of 2 cm
What is its volumes
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?
need ASAP I will mark beainlist for correct t answer
Answer:
Lillian gets paid $12 an hour.
Step-by-step explanation:
I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars
please help me !!! i'll give brainliest
Answer:
a. root (x^2 + 64)
Step-by-step explanation:
(8^2 + x^2) = y^2
If you root both sides,
y = root (x^2 + 64)
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58
Answer:
Your answer is D. 58
Step-by-step explanation:
x= [tex]\sqrt{(42^2+40^2)}[/tex]
Brenda has 14 fewer apps than Caleb. If Caleb deleted 5 apps, then he would have twice as many as Brenda. How many apps do Brenda and
Caleb have together?
Answer:
42
Step-by-step explanation:
Because Brenda has 14 fewer apps and he deleted 5 apps and he now has twice as many as brenda so 14 + 14 =28 so he had 33 before but remember 33- 5 + 28 so 14 + 28 + 42
Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.
Answer:
[tex]1\%[/tex]
Step-by-step explanation:
Simple interest (I) = $160
Principal amount (P) = $2000
Time period (t) = 8 months
Let R denotes rate of interest.
Relation between simple interest, principal amount, time and rate of interest is given by [tex]I=\frac{PRT}{100}[/tex]
[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]
Answer:
12
Step-by-step explanation:
It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12
1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet
Answer:
80 square feet
Step-by-step explanation:
I hope this helps a little bit.
Help me pleaseeeee I need this quick
Answer:
Step-by-step explanation:
Multiply?
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?
Answer:
A. 2a+6
Step-by-step explanation:
I did the test and this is what I got.
Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?
Answer:
planet fitness will take one month and total fitness will take 3 months
Step-by-step explanation:
planet fitness:
75
total fitness:
25
50
75
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
what can you conclude about the rain and the students commute on the bus and train?
2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?