Debbie’s pizza shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat ?
Debbie’s pizza shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat ?
Solution:
There are 10 equal slices of pizza
Out of 10 slices bob eats 2 slices.
So, out of one pizza bob eats [tex] \frac{2}{10} [/tex] or [tex] \frac{1}{5} [/tex] th of the pizza
Calculating in terms of area,
Diameter of Pizza= 16 inches
So, Radius of Pizza= [tex] \frac{Diameter}{2} [/tex]
Radius of pizza=[tex] \frac{16}{2} [/tex]=8inches
Area of complete pizza= πr²=π8²=64π=200.96inches²
Area of the part had by Bob=[tex] \frac{1}{5} [/tex]*200.96 inches²
=40.192inches²
Bob had 40.192 inches² out of 200.96 inches² pizza
Which right triangular prism has the greatest volume?
Answer:
So Prism D has the greatest volume.
Step-by-step explanation:
Since volume of a triangular prism = A × h
where A = Area of base of prism
h = height
For prism (A) ⇒ Volume = ( 6 × 7 ) × 9
= 42 × 9 = 378m³
Prism (B) ⇒ Volume = ( 5 × 6 ) × 13
= 30 × 13 = 390m³
Prism (C) ⇒ Volume = ( 11 × 8 ) × 8
= 88 × 8 = 704m³
Prism (D) ⇒ Volume = ( 10 × 8 ) × 9
= 80 × 9 = 720m³
So prism D has the maximum volume.
1. a stockholder owns 381.881 shares. by the end of the year, he had increased his number of shares by 14.814. what is the total number of shares owned by the stockholder?
2. last week a sales representative earned a salary of $412.56 and a commission of $72.48. how much did she earn in all?
3.joan deposited a check for $48.51 in her checking account. if the previous balance was $381.49, how much money does joan now have in the account?
What rate of simple interest is needed for $700 to double, in 3 years?
The rate of simple interest required for $700 to double in 3 years is found using the formula I=PRT. In this scenario, the rate comes out to be approximately 33.3%.
Explanation:The subject of this question is finding the rate required for simple interest to cause an investment of $700 to double in a duration of 3 years.
Generally, we use the formula for simple interest: I=PRT where P is the principal amount (700 in this case), I is the interest earned, R is the rate we want to find and T is the time period in years.
However, since the aim is for the $700 to double, the interest earned will be an additional $700, thereby making the total $1400. Thus, substituting these values into the formula, we get 700 = 700 * R * 3. Simplifying this, we find that R = 700/(700*3) = 1/3 or approximately 33.3%.
Hence, the rate of simple interest required for $700 to double in 3 years is approximately 33.3%.
Learn more about Simple Interest here:https://brainly.com/question/22621039
#SPJ3
R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.
To find out the simple interest rate that is needed for $700 to double in 3 years, we can set up the equation based on the formula for simple interest, which is I = PRT (where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period in years).
Since the student wants the money to double, the interest gained should be equal to the principal, which means I = $700. The time given is T = 3 years. Plugging these values into our formula, we get:
$700 = $700 × R × 3
By dividing both sides by $2100 ($700 ×3), the equation simplifies to:
R = $700 / $2100
Therefore, R = 1/3 or 33.33%. So, the simple interest rate needed for $700 to double in 3 years is approximately 33.33%.
The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find Lateral area of the pyramid
John ,Rick , and Molli are painting a room together. It takes all of them 16 hours to paint the room to perfection. It takes John 8 hours to paint the room alone , and it takes Rick 2 hours to paint the room alone. What is the hourly rate it take’s of john to paint the room alone?
John's hourly rate of painting a room alone is 1/8 of the room per hour, which is calculated from the time he takes to complete the job on his own.
The question asks for the hourly rate at which John can paint a room alone. Knowing that John takes 8 hours to paint the room by himself, we can find his hourly rate by understanding the concept of work rates in combination tasks. Since painting can be considered a task that involves continuous work, the rate at which the room gets painted relates directly to a painter’s work rate, which is the fraction of the room they can paint per hour. For John, his work rate is the reciprocal of the time he takes to paint the room alone, which in this case is 1/8 of the room per hour.
Tell whether the study is an experimental study or an observational study.
You want to study the effects of regular exercise on a person’s heart rate. You measure the heart rate of a person at rest and again after jogging in place for 5 minutes. The control group is every other student who enters the room. The experimental group is those students who are not in the control group.
Final answer:
The study described is an experimental study. The independent variable is regular exercise and the dependent variable is the person's heart rate. The control group is the group of students who do not exercise, while the experimental group is the group of students who engage in regular exercise.
Explanation:
The study described is an experimental study.
In an experimental study, the researcher directly manipulates the independent variable to determine its effect on the dependent variable. In this case, the independent variable is regular exercise and the dependent variable is the person's heart rate.
The control group is the group of students who do not exercise, while the experimental group is the group of students who engage in regular exercise. By comparing the heart rates of the two groups before and after exercise, the researcher can determine the effects of exercise on heart rate.
What is the approximate volume of a cylinder with a radius of 8 cm and height of 5 cm?
A. 62.8
B. 251.2
C. 25.1
D. 502.4
E. 1004.8
What is the point-slope form of a line with slope -3 that contains the point (10, -1)?
A.y + 1 = 3(x - 10)
B.x + 1 = -3(y - 10)
C.y + 1 = -3(x - 10)
D.y + 1 = 3(x + 10)
Two angles are complementary. The measure of the largest angle is two times the measure of the smaller angle. What is the measure of the larger angle?
Please help! :D
Find the volume of the cylinder in terms of pi. (h = 6 and r = 3)
Thank you!
Joy and Cullen put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below:
Joy: y = 30x + 20
Cullen: y = 20x + 90
After how many weeks will Joy and Cullen have the same amount of money in their money boxes, and what is that amount?
6 weeks, $150
230 weeks, $7
7 weeks, $150
7 weeks, $230
A rock is projected directly upward from ground level with an initial velocity of 90 ft/sec. After how many seconds will it return to the ground?
PLEASEEE HALPPPPPP >.<
two boats start at the same point and speed away along courses that form 110 degree angle. if one boat travels at 24 miles per hour and the other boat travels at 32 miles per hour. how far apart are the boats after 30 minutes?
A. 21 miles
B. 22 miles
C. 23 miles
D. 24 miles
E. 25 miles
The distance between the boats after 30 minutes is approximately 23.04 miles. Option C
How to find the distance between the two boats after 30 minutesTo find the distance between the two boats after 30 minutes, use the law of cosines. Let's denote the distance between the boats as "d".
We know that one boat is traveling at 24 miles per hour, and the other boat is traveling at 32 miles per hour. In 30 minutes (or 0.5 hours), the first boat would have traveled 24 * 0.5 = 12 miles, and the second boat would have traveled 32 * 0.5 = 16 miles.
Now, applying the law of cosines:
[tex]d^2 = (12)^2 + (16)^2 - 2 * 12 * 16 * cos(110^o)[/tex]
Calculating the equation:
[tex]d^2 = 144 + 256 - 384 * cos(110^o)[/tex]
Now, evaluate cos(110°):
cos(110°) ≈ -0.34202
Substituting the value:
[tex]d^2[/tex] = 144 + 256 - 384 * (-0.34202)
[tex]d^2[/tex] = 144 + 256 + 131.23808
[tex]d^2[/tex] ≈ 531.23808
Taking the square root:
d ≈ 23.04
Therefore, the distance between the boats after 30 minutes is approximately 23.04 miles.
Rounded to the nearest whole number, the answer would be 23 miles (Option C).
Read on boats on https://brainly.com/question/27727388
#SPJ3
If AB=7 and AO=17.4 what is the length of the radius?
Write a report to the president of the company explaining the solutions.
Answer:
The negative part of the solution set is ignored, because you cannot produce a negative number of phones.
The company has at least an 80% success rate if the next 25 or more phones that are assembled work.
Because the company has already made 10 phones and 7 are not working, if the next 25 phones work, the 35th phone puts the company at its goal of 80% or more.
Step-by-step explanation:
If it’s the weekend, the chances of Allison going to the store is 4/5. If its a weekday, the chances are 2/5. Given that Allison will not go to the store, what is the probability that it’s the weekend?
Use the given information to find the amount aa in the account earning compound interest after 6 years when the principal is $3500. r=2.16%r=2.16%, compounded quarterly the amount after 6 years is $ .
Answer: $3,982.92
Step-by-step explanation:
$3,982.92
Equation for compound interest:
A = P (1+r/n)^nt
P = 3500
r = .0216
n = 4
t = 6
One competitor in a 100-mile bicycle race took a total of 5 hours to complete the course. his average speed in the morning was 23 miles per hour. his average speed in the afternoon was 13 miles per hour. how many hours did he ride in the morning, and how many hours did he ride in the afternoon?
. A circular window has a diameter of 40 centimeters. What is the circumference of the window? Use 3.14 for π π 251.2 cm
write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:
1. shift 1 unit to the right and up 2 units
2. shift 3 units to the left and 7 units down
3. vertical shrink by a factor of 1/3
4. vertical stretch by a factor of 3
Please help me.......
One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown below
Which option below best describes the maximums of these two functions?
Functions g and h have the same maximum of -2.
Functions g and h have the same maximum of 2.
Function h has the greater maximum of -2.
Function g has the greater maximum of 2.
Answer:
Functions g and h have the same maximum of 2.
Step-by-step explanation:
Determine the magnitude and the ordered pair that represents the vector from (18,3) to (-4,16)
Answer:
The answer is B.
Step-by-step explanation:
(-22,13); magnitude=25.6
I am taking the cumulative review.
Brendan has 33 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 615 cents, how many dimes and how many quarters does he have?
Jack rolls 6 sided number cube labeled 1-6 twice. to the nearest hundredth, what is the probability that the first roll is 4 and the second roll is an even number
[tex] |\Omega|=6^2=36\\
|A|=1\cdot3=3\\\\
P(A)=\dfrac{3}{36}=\dfrac{1}{12}\approx8.3\% [/tex]
If a section of a line graph falls to the right, what does that indicate?
an increase
a decrease
no change
a mistake in the graph
2. Draw a right triangle with side lengths of 3, 4, and 5 units.
Answer:
My options for triangles
A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n - 1)(8) The same sequence has the following recursive formula: an = an-1 + _____ What number belongs in the blank space in the recursive formula? A. 5 B. 3 C. 8 D. 24
The spheres radius is 1/3 the radius of the hemisphere how does the volume of the hemisphere compare with the volume of the sphere
Answer:
It is greater than the volume of the sphere
Step-by-step explanation: