Answer:
C = 6π in
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
the area (A) of a circle is calculated as
A = πr²
given A = 9π , then
πr² = 9π ( divide both sides by π )
r² = 9 ( take square root of both sides )
r = [tex]\sqrt{9}[/tex] = 3
then
C = 2π × 3 = 6π in
The circumference of the circle is C = 6π inches
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circle be C
Now , the area of the circle be A = 9π inches²
where area of the circle = πr²
So , r² = 9
Taking square roots , we get
r = 3 inches
Now , the circumference C = 2πr
C = 6π inches
Hence , the circumference is 6π inches
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Use what you know about triangles to classify this triangle.
Triangle with two acute angles and one obtuse angle. Two sides are equal in length.
Group of answer choices
Answer:
isosceles
Step-by-step explanation:
just ask
244 people must be split into 4 equal groups. How many people in each group
Answer:
61 people per each group
Step-by-step explanation:
244/4= 61
Answer: 61 people in each group
Step-by-step explanation: 244 divided by 4 is 61
How to find the surface area of a triangular prism
Answer:
See below.
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face. Find the area of the base by multiplying base length by base length. Find the area of each triangle face by multiplying 1/2 * b*h.
Example:
For a base which is 12 by 12. The area is 12 x 12 = 144.
For the triangle face, the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.
A 1-quart milk carton has a square base of 7 cm × 7 cm and a height of 19.3 cm. What is its volume in cubic centimeters?
Answer:
V = 945.7 cm^3
Step-by-step explanation:
I'm assuming the carton is a rectangular prism/has right angles. The volume formula for a rectangular prism is V = lwh, where l = length, w = width, h = height.
Substitute known values into this formula:
V = 7 × 7 × 19.3
V = 945.7 cm^3
Jamie has 9 gallons of paint that she needs to pour into containers that
hold 0.75 gallon. How many containers will she need?
Answer:
12:)
Step-by-step explanation:
What is the solution of following system of equations y=2x-3 4x-3y=31
Answer:
(-11, -25)
Step-by-step explanation:
Use substitution.
The length of a rectangular field is 31 meters and the breadth is 14 meters, outside it a 2 meter wide path is made all around, what will be the cost of laying sand on this path at the rate of 7 per square meter
Cost of laying sand on this path = Rs. 1372 at the rate of Rs. 7 per sq. m
Step-by-step explanation:
[ refer to attachment ]
Area of field + path = L × B
=> 35 × 18
=> 630 m² -------------(1)
Area of field = L× B
=> 31 × 14
=> 434 m² --------------- (2)
Area of path = area 1 - area 2
=> 630 - 434
=> 196 m²
Given Rate = Rs. 7/ m²
If cost of 1m² = Rs. 7
Cost of 196m² = 7×196
=> Rs. 1372
A large rectangular prism has a length of 2 and 1/2 inches, a width of 4 inches, and a height of 1 and 1/2 inches. A smaller cube has a length, width, and height of 1/2 of an inch. How many of the smaller cubes will fit into the larger rectangular prism?
Answer:
120 cubes
Step-by-step explanation:
Volume of prism and cube:We can find the number of smaller cubes that will fit into larger rectangular prism by dividing the volume of prism by the volume of cube.
Rectangular prism:
[tex]\sf l = 2\dfrac{1}{2} =\dfrac{5}{2} \ inches\\\\w = 4 \ inches\\\\h =1\dfrac{1}{2}=\dfrac{3}{2} \ inches\\[/tex]
[tex]\sf \boxed{\text{\bf Volume of rectangular prism= l * w * h}}[/tex]
[tex]\sf =\dfrac{5}{2}*4*\dfrac{3}{2}\\\\= 5*1*3\\\\= 15 \ in^3[/tex]
Cube:
[tex]\sf side = \dfrac{1}{2} \ inches\\[/tex]
[tex]\sf \boxed{\text{ \bf Volume of cube = side * side *side}}[/tex]
[tex]\sf =\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}\\\\ =\dfrac{1}{8} \ in^3[/tex]
Number of cubes = Volume of prism ÷ volume of a cube
[tex]\sf = 15 \div \ \dfrac{1}{8}\\\\=15 *\dfrac{8}{1}\\\\= 120[/tex]
120 cubes will fit
I need help
Bob scuba dives in the ocean.
He is 150 feet below the surface of the water.
• He swims up toward the surface of the water at a rate of 15 feet for every 30 seconds.
After 2 minutes of ascending, he stops to take a break. How far away is Bob, in feet, from the surface of the water?
Using proportions, it is found that Bob will be 90 feet from the surface of the water after 2 minutes.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, every half-minute, he ascends 15 feet. Hence in 2 minutes = 4 half-minutes, he will have ascended 15 x 4 = 60 feet.
He is 150 feet below the surface of the water, hence after 2 minutes he will be 150 - 60 = 90 feet from the surface of the water.
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19. The area of the square is half the area of the rectangle. Find x.
2(x+4)
Answer:
2x+8
Step-by-step explanation:
If cos0=1/4, what is the value seco?
Answer:
[tex]\sec\theta=4[/tex]
Step-by-step explanation:
Recall the reciprocal identity [tex]\displaystyle \sec\theta=\frac{1}{\cos\theta}[/tex], thus, [tex]\displaystyle \sec\theta=\frac{1}{\frac{1}{4}}=4[/tex]
Write 10 3 8 as an improper fraction.
Answer (if the number is 10 3/8):
83/8
Step-by-step explanation:
to find out we multiply the whole number (10) by the denominator (x/8) as shown below
10 * 8 = 80
then we just add the product to the numerator (3/y)
3 + 80 = 83
usually we would simplify the new expresion given -wich is 83/8- by finding the least common denominator, however this improper fraction is already in simplest form
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Answer:
Option A is correct.
Step-by-step explanation:
1. solve the inequalities
2. find the intersection :)
The ratio of orange juice concentrate to water that Zoe used to make orange juice yesterday was 3 : 7. She used 14 ounces if water in the juice yesterday. Today she wants to make twice as much orange juice.
Is the relationship between the amount of orange juice concentrate c and the amount of water w proportional? Explain.
Answer:
12:28
Step-by-step explanation:
yesterday the ratio would be 6:14 so then you double that to get 12:28
Which expression is equivalent to the expression shown?
3'*3*
3
3 x
Х
Х
1
3-4
34
-28
4
3
3’x (+39
х
Answer:
the given expression is equivalent to the
Step-by-step explanation:
[tex] {3}^{7} \times \frac{1}{ {3}^{4} } [/tex]
f(x) =3x, g(x) = x+4 and h(x)=x²-1
What is the value of
h[f(10)]
Answer:
899
Step-by-step explanation:
h[f(10)]=h(30)
=(30)^2-1=900-1=899
Mark buys a treadmill priced at $360.26.Shipping and handling are an additional 10%of the price.How much shipping and handling will Mark pay?
Determine whether the following situation would produce a random sample. Write Yes or No and explain your answer. Two hundred students at a school basketball game are surveyed to find the students' favorite sport. a. Yes, students preferring different sports may be in the group. b. Yes, this may be the only sporting event occurring that day. c. No, students attending this event are more likely to enjoy basketball. d. No, student attendance may have been required at this event.
Answer:
c.
Step-by-step explanation:
Students who have chosen to attend a basketball game are more likely to like basketball.
What expression is equivalent to 1-2 sin^2x?
I know the answer is 2cos^2x-1, but unsure how to solve it. Do I use the Pythagorean identity to start?
Thanks!
Answer:
1-2*sin^2 (x) = 2cos^2(x) -1
Step-by-step explanation:
1-2sin^2(x)
= 1-2(1-cos^2(x)) =2cos^2(x)-1; Pythagorean identity, sin^2(x)=1-cos^2(x)
=1-2+2cos^2(x)=2cos^2(x)-1; distribute
= -1+2cos^2(x)=2cos^2(x) -1; collect and rearrange terms
= 2cos^2(x)-1 = 2cos^2(x)-1
Drag each tile to the correct box. Graph the functions as transformations of f(x)=x^2. Arrange the parabolas with respect to the position of their vertices from left to right. 1: y=f(x)
2: y=f(x-4)
3: y=f(x+3)
4: y=f(x-7)
5: y=f(x+2)
6:y=f(x-1/2)
If a constant is added to a variable then the graph gets shifted toward left and vice-versa. Then the graphs are shown below.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The parabola is given below.
f(x) = x²
Then the parabolas with respect to the position of their vertices from left to right will be
1: y = f(x) = x²
2: y = f(x - 4) = (x - 4)²
3: y = f(x + 3) = (x + 3)²
4: y = f(x - 7) = (x - 7)²
5: y = f(x + 2) = (x + 2)²
6: y = f(x - 1/2) = (x - 1/2)²
The graph of the parabola is given below.
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Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science, math, Spanish, and art.
science: MAD of 1.14
math: MAD of 1.6
Spanish: MAD of 1.2
art: MAD of 1.93
In which class were his scores the closest together?
science
art
Spanish
math
HELPPPP!!!!
Answer:
The answer would be Science.
I don't know how to explain it just yet :(
Convert 29/30 to a decimal
Answer:
0.97
Step-by-step explanation:
To convert a fraction to a decimal, divide the numerator by the denomiator.
29 ÷ 30 = 0.966666667
= 0.97 (rounded)
hope this helps!
ANS IN 10M
5.
(04.01)
The graph represents function 1, and the equation represents function 2:
A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6.
Function 2
y = 2x + 7
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
1
2
3
4
The rate of change of function 1 is 2
What is line?A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.
Given function: y = 2x + 7.
As the graph of function 1 is not given.
the rate of change of function 2 : y = 2x + 7.
As the the value of m or rate of change of above equation is 2
m=2.
as, the horizontal line passes, the rate of change is 0
Hence, rate of change is 2.
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Answer:
learn
Step-by-step explanation:
-
A road is defined by y = x - 3. A house is
located at the coordinates A(6,5). Determine the
shortest distance from the house to the road.
so x-3=4 you add 3+4=7 and your answer is x=7
calculator shortcut for 16613 eight
There are some calculator shortcuts that can be used on a Windows OS and they are:
Ctrl + R (recall from memory)Ctrl + L (erase memory)What is a Calculator?This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.
Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.
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HELP ME PLEASEEEEE ASAP TYYYY
Step-by-step explanation:
with 2 dice we have 6×6 = 36 possible outcomes.
you know
1, 1
1, 2
1, 3
...
6, 6
from these 36 possible outcomes only the following have a sum of 4 :
1, 3
2, 2
3, 1
so, 3 out of 36.
that mags the probability is
3/36 = 1/12
the first answer option is correct.
solve this question please
The value of y in y = 5x if the value of x doubles itself is y also doubles itself; option A
How to solve equation?y = 5x
if x = 2
y = 5(2)
y = 10
if the value of x doubles, for instance, if x = 4
y = 5(4)
y = 20
y = 5/x
if x = 0.5
y = 5/0.5
y = 10
if the value of x triples, for instance, if x = 0.125
y = 5/x
= 5/0.125
y = 40
The value of y in y = 5/x if the value of x triples itself is y also triples itself; option B
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Please help me I need help
Answer:number 1 and 4
Step-by-step explanation:
If the sales per day of a start-up company can be modeled using the function s(d) = d 3 + 10, what is the maximum number of sales per day on the interval 0 < d ≤ 3?
The maximum number of sales will be equal to 37.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Given function is:-
s(d) = d³ + 10maximum number of sales per day on the interval 0 < d ≤ 3The maximum value of d = 3
s(d) = d³ + 10
s(d) = (3)³ + 10
s(d) = 27 + 10
s(d) = 37
Therefore the maximum number of sales will be equal to 37.
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HELP! I'll give brainliest.
2x+6 ≤x+3<3x+11
Solve the inequality, and please show your work. Thanks in advance!
Answer:
-4 < x ≤ -3
Step-by-step explanation:
Separate it into 2 inequalities
2x+6 ≤x+3
x ≤-3
x+3<3x+11
-8 < 2x
x > - 4
Combine the 2 results
-4 < x ≤ -3
