Final answer:
To calculate the volume of the orange juice can, the formula V = πr²h is used. By finding the radius from the given area of the base and then using the height of the can, the volume is calculated as 3120 cm³, which corresponds to answer choice A.
Explanation:
The student has asked a question about calculating the volume of a cylindrical can of orange juice. Given the area of the circular base is 156 square centimeters and the height of the can is 20 centimeters, the volume can be found by using the formula V = πr²h, where V stands for volume, r is the radius of the base, and h is the height of the cylinder. First, we need to find the radius (r) of the base from the given area, and then substitute it into the volume formula along with the height (h).
To find the radius, we use the formula for the area of a circle, A = πr², where A = 156 cm². Solving for r, we have r = √(A/π). Plugging the area into this formula, the radius (r) is:
r = √(156/π) cm
Then we substitute the radius and height into the volume formula:
V = πr²h
V = π(√(156/π))^2 × 20 cm
V = 156 × 20 cm³
V = 3120 cm³
Therefore, the correct answer is A. 3120 cubic centimeters.
Use the drop-down menu to complete the statement.
Based on the data in the line graph, you can predict
there will likely be
-fewer
-more
-the same number of
In December compared to October
Answer: fewer
Step-by-step explanation: The data has a positive trend, then a negative. And using common sense, since when do people go to the pool in December unless indoors, even then it is rare. Some questions require common sense too BTW.
Describe the transformations of the quadratic function
Answer:
B
Step-by-step explanation:
[tex]x_0 = \frac{ - b}{2a} = 0 \\ y_0 = {0}^{2} + 3 = 3[/tex]
PLEASE HELP!!! 50 POINTS AWARDED!!
Answer:
answers below
Step-by-step explanation:
1. no
2. yes
3. no
4. yes
5. no
6. yes
7. no
8. no
9. no
10. no
11. no
12. yes
Answer:
Below.
Step-by-step explanation:
1. No because there is a one-to-many relation in the diagram ( 8 maps to 3 and also to 4.
2. Yes. It is a one-to-one mapping.
3. Yes. It consists of on-to-one and many to one mapping.
4. No. Because it fails the vertical line test.
5. No. As number 4.
6. Yes . this passes the vertical line test.
7. Yes.
8. No. Input 1 maps to output 4 and output 7.
9. Yes.
10. No. Because of the (3, 7) and the (3, 6).
11. No , because 1 maps to 8, 2 and 7.
12. Yes.
(Fractions)
5/7 − 2/5 =
Answer:
11/35
Step-by-step explanation:
Please choose brainliest
You are looking at the top of a building and thinking it would be great to make a zipline from the top to your current location. You measure the angle of elevation as 37 degrees and you are 123 feet from the base of the building . How long a zipline is needed if you are 6 feet tall ? Include a sketch that shows all known information and clearly shows what you need to find. Show all work and give the answer rounded to the nearest tenth of a foot.
The length of the zipline for the building which you are looking at needed to be 154.01 feet.
What is a trigonometric function?The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
Given the situation making a right-angle triangle with an angle of 37° and a base is 123 feet.
By trigonometric function
cos37° = 123/zipline
zipline = 123/cos37°
zipline = 154.01 feet
Hence, the zipline which is needed is 154.01 feet.
For more information about the trigonometric function,
brainly.com/question/1143565
#SPJ5
How do you write this number using words?
274,075
Answer:
two hundred seventy four thousand seventy-five
Answer: Step-by-step explanation: 274,075 written in words is:
Two Hundred Seventy Four Thousand Seventy-Five
(I NEED HELP ASAP) plz
Given:
The two angles A and B are vertical angles.
The measure of ∠A is x and the measure of ∠B is 5x - 20.
We need to determine the measure of ∠A.
Value of x:
Since, the angles A and B are vertical angles and the vertical angles are always congruent.
Thus, we have;
[tex]\angle A=\angle B[/tex]
Substituting the values, we have;
[tex]x=5x-8 0[/tex]
[tex]0=4x-80[/tex]
Adding both sides of the equation by 80, we have;
[tex]80=4x[/tex]
[tex]20=x[/tex]
Thus, the value of x is 20.
Measure of ∠A:
The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.
Thus, we get;
[tex]\angle A=20^{\circ}[/tex]
Thus, the measure of ∠A is 20°
What is the surface area of the prism in square inches?
Answer:
The answer is 252 square inches
The function f(x) = 2(x - 3)^2 + 9 is graphed in the coordinate plane. Which of the following are true? Select all that apply. *
The graph of the parabola opens downward.
The vertex of the graph is (-3,9).
The axis of symmetry of the graph is x = 3.
The y-intercept of the graph is 9.
The minimum of the function is 9.
Answer:
-The minimum of the function is 9
-The axis of symmetry of the graph is x=0
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS?! ASAP, I WOULD APPRECIATE IT VERY MUCH!
Answer:
B - 59 degrees
Step-by-step explanation:
In total there is 360 degrees, 131 + 170 = 301, 360 - 301 = 59
Answer:
B
Step-by-step explanation:
131+170=360
301=360
59
What is the sum of the measures of the exterior angles of this triangle?
Answer:
17 degrees.
Step-by-step explanation:
Total sum of angles on a triangle always make 180
112+51=163
180-163=17
What is better buy
120 ounces of milk for $3
Or
600 ounces of milk for $ 13
Answer:
120 ounces of milk for $3 is a better buy
Step-by-step explanation:
Divide the total number of ounces by the price to find the price per ounce:
120 ÷ 3 = 40 cents per ounce
600 ÷ 13 = 46.15 cents per ounce
why in math is X first (X,Y) but we graph Y first.
Answer:
You can graph it doing either first, trick question
Step-by-step explanation:
Answer:
The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.
Step-by-step explanation:
Explain the steps used to solve x - 2 = v ( x + 10) and check for extraneous solutions.
Answer:
x = 6
Step-by-step explanation:
Given
x - 2 = [tex]\sqrt{x+10}[/tex]
Square both sides to clear the radical
(x - 2)² = x + 10 ← expand left side using FOIL
x² - 4x + 4 = x + 10 ( subtract x + 10 from both sides )
x² - 5x - 6 = 0 ← in standard form
(x - 6)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 1 = 0 ⇒ x = - 1
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 1 : left side = - 1 - 2 = - 3
right side = [tex]\sqrt{-1+10}[/tex] = [tex]\sqrt{9}[/tex] = 3 ≠ - 3
---------------------------------------------------
x = 6 : left side = 6 - 2 = 4
right side = [tex]\sqrt{6+10}[/tex] = [tex]\sqrt{16}[/tex] = 4
----------------------------------------------
Thus x = 6 is the solution, x = - 1 is an extraneous solution
If triangle ABC is similar to DEF, what is the measure of angle F?
Answer:43
Step-by-step explanation:118+15+x=180
x=43
Answer:
Angle F is 47°
Step-by-step explanation:
The measure of all the angles on a triangle is 180°, so you subtract the 2 given angles (A and B) to find the 3rd angle (C). That third angle is equal to the corresponding angle (F) on the similar triangle (DEF).
AngleFAE measures 72º. What other angle must measure
72°?
Angle BFD
Angle DEA
Angle EDF
Angle FBE
Answer: FBE
Step-by-step explanation:
EDGE
Naomi owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $5.25. Naomi must sell a minimum of $470 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
Answer:
3t+5.25b≥470
Each taco sells for $3, so t tacos will bring in 3t dollars. Each burrito sells for $5.25, so b burritos will bring in 5.25b dollars. Therefore, the total amount of revenue 3t+5.25b must be greater than or equal to $470:
Solve for x.
х/5= 20
0. 25
4
10
100
Answer:
100
Step-by-step explanation:
x = 5 × 20 = 100
.........................
PLZ ANSWER QUICK-MATH TRIG
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and HF = 9.2 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG = 9.7ft
Step-by-step explanation:
Find the diagram in the attachment.
The diagram is a right angled triangle since one of its angle is 90°
Using SOH CAH TOA to calculate the length FG which is the hypotenuse.
According to SOH
Sin∠G = Opposite/Hypotenuse
To get the ∠G,
∠F+∠H+∠G = 180°
18°+90°+∠G = 180°
∠G = 180°-108°
∠G = 72°
Sin72° = 9.2/FG
FG = 9.2/sin72°
FG = 9.67feet
FG = 9.7ft (to the nearest tenth of a foot)
Answer:9.7
Step-by-step explanation:
Cos 18= 9.2/X
Cross multiple
Divided each side by 18
9.2/cos18
Find the area of the semicircle.
Given:
Given that the radius of the semicircle is 4 units.
We need to determine the area of the semicircle.
Area of the semicircle:
The area of the semicircle can be determined using the formula,
[tex]A=\frac{\pi r^2}{2}[/tex]
Substituting π = 3.14 and r = 4, we get;
[tex]A=\frac{3.14 \times (4)^2}{2}[/tex]
Simplifying, we get;
[tex]A=\frac{3.14 \times 16}{2}[/tex]
Multiplying, we get;
[tex]A=\frac{50.24}{2}[/tex]
Dividing, we get;
[tex]A=25.12[/tex]
Thus, the area of the semicircle is 25.12 square units.
How do I complete a square
Eg solve the equation x(squared) + 4x - 7 = 0
By completing the square
Step-by-step explanation:
[tex]{x}^{2} + 4x - 7 = 0[/tex]
Take -7 to the other side making it +7
Half the coefficient of x and square it
[tex] \frac{1}{2} \times 4 = 2[/tex]
Square the answer
[tex]{2}^{2} = 4[/tex]
Join your answers
[
[tex](x + 2) - 4 = 7[/tex]
Take -4 to the other side making it +4
[tex](x + 2) = 7 + 4 \\
(x + 2) = 11
[/tex]
Square root both sides
[tex] \sqrt{x + 2}= \sqrt{11} [/tex]
[tex]x + 2 = \sqrt{11} [/tex]
Take +2 to the other side
[tex]x = - 2 \ + or - \sqrt{11} [/tex]
[tex]x = - 2 + \sqrt{11} [/tex]
or
[tex]x = - 2 - \sqrt{11} [/tex]
This can be your answering surd form if required or in decimals
Ashley is making cookies for her Easter party. Each batch of cookies mix need 0.4 cups of sugar and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Answer:
1.6 cups
Step-by-step explanation:
Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.
0.4*4=1.6
So, she needs 1.6 cups of sugar for 4 batches
Answer:
1.6 cups of sugar for four batches of cookies
Find the volume of this cylinder. Give your answer to one decimal place.
[tex]V = \pi r^{2} \times h[/tex]
[tex]r = 11 \div 2 = 5.5 \\ h = 14 \\ \pi = 3.14[/tex]
[tex]V = 3.14 \times 5.5 ^{2} \times 14 = 1,329.79[/tex]
Answer: V=1,329.8
Answer:
Step-by-step explanation:
Given
diameter (d) = 11 cm
Height(h) = 14 cm
first calculating the radius
radius = d/2 = 11/2 = 5.5 cm
Now
Volume of the cylinder
=[tex]\pi r^{2}h[/tex]
= 3.14 * (5.5)^2 * 14
= 1329.8 cm^3
Hope it will help
Solve x2 + 12x + 6 = 0 using the completing-the-square method.
Ox= 6 + V30
Ox= 6+ V30
Ox= 60 V6
Ox= 6 + V6
[tex] {x}^{2} + 12x + 6 = 0 \\ D = {12}^{2} - 4 \times 6 = 144 - 24 = 120 = \\ = (2 \sqrt{30} )^{2} \\ x_1= \frac{ - 12 + 2 \sqrt{30} }{2} = - 6 + \sqrt{30} \\ x_2= \frac{ - 12 - 2 \sqrt{30} }{2} = - 6 - \sqrt{30} [/tex]
But i don't see correct answer here
Ox= 6 + V30
Ox= 6+ V30
Ox= 60 V6
Ox= 6 + V6
or maybe i don't understend something
If (t+10)+t=t+20, what is the value of t?
Answer:
t=10
Step-by-step explanation:
(t+10)+t=t+20,
Combine like terms
2t+10 = t+20
Subtract t from each side
2t-t+10 =t-t+20
t+10 =20
Subtract 10 from each side
t+10-10 = 20-10
t = 10
Answer:
t = 10
Step-by-step explanation:
2t+10 = t+20
-t -t
__________
t + 10 = 20
-10 -10
_________
t = 10
Which value is
equivalent to 2+12/2
A. 6
B. 7
C. 8
D. 12
Answer:
8
Step-by-step explanation:
I know its 8 because of using PEMDAS
well first in the equation you can divide and add so in PEMDAS diving comes before adding so 12/2=6 and 2+6=8
Jana determined that she is approximately 1.013 10-3 miles tall. How many places, and in
which direction, must you move the decimal to determine her height in standard notation?
CAN SOMEONE PLEASE HELP ME???
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Choose the best definition for function?
A. The inputs of a relation
B. The outputs of a relation
C. The movement of a graph either vertically or horizontally
D. A special relation where every input has only one output
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PLZ HELP! BE HONEST PLZ! :) THANK U!!!
An electrician charges $40 per hour for service calls up to eight hours, but increases this rate by 50% for additional hours. The electrician will not work more than twelve hours per service call and also charges a $25 trip charge. The graph provides a visual for customers. If the electrician doubles the normal hourly rate, and still increases the rate by 50% for additional hours, how will the graph change? A) The y-intercept will be (0, 50), the slopes of the line segments will 40 and 60, and the range will be [50, 1170]. B) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25 1170]. C) The y-intercept will be (0, 50), the slopes of the line segments will 80 and 120, and the range will be [50, 1145]. D) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25, 1145].
Answer:
Actually the Answer is B
Step-by-step explanation:
The reason, cause I just chose C and got the answer wrong. Here’s further proof.
Answer: it’s D
Step-by-step explanation: got it wrong and it’s D
Find the volume of the rectangular prism shown below. Be sure to include units!
7.5 cm
5.5 cm
22 cm
Answer:
907.5 cm
Step-by-step explanation:
Multiply them together but next time use a calculator
Answer: 907.5 cm^3
Step-by-step explanation:
Volume is base*width*height, therefore 22*5.5*7.5 is 907.5