Volume of the hexagonal prism = 1732.7772 ft³
Solution:
Height of the prism (H) = 15.4 ft
Side of the hexagon base (b) = 6.58 ft
Height from center to the side length (h) = 5.7 ft.
Let us first find the area of the base.
Area of the base (B) = [tex]6\times\frac{1}{2}\ bh[/tex]
[tex]$=6\times\frac{1}{2}\times 6.58 \times 5.7[/tex]
Area of the base (B) = 112.518 ft²
To find the volume of the hexagonal prism:
Volume of the hexagonal prism = Area of the base × Height
= 112.518 × 15.4
= 1732.7772 ft³
The volume of the hexagonal prism is about 1732.7772 ft³.
One morning, a diner chef had 176 breakfast orders. The circle graph shows the types of orders. About how many orders were for eggs? A circle graph titled Breakfast Orders. The graph has four sectors. The sector labeled Waffles has a value of 28%. The sector labeled Eggs has a value of 43%.The sector labeled Pancakes has a value of 10%. The sector labeled Cereals has a value of 19%. a) 133 b)119 c) 76 d)43
Answer:
76
Step-by-step explanation:
Given that in one morning, a diner chef had 176 breakfast orders.
Now, a circular graph shows the types of orders and it shows that 43% of the total labeled as the Eggs order.
We have to find the number of orders were there for eggs.
Now, it will be 43% of total breakfast orders i.e. 176.
Hence, it was [tex]176 \times \frac{43}{100} = 75.68[/tex] ≈ 76 (Answer)
To find the quantity of egg orders, we multiply the total number of orders (176) by the percentage of orders for eggs (43%). The result, 75.68, is rounded to the nearest whole number to get 76 orders.
Explanation:The question is about calculating a certain percentage of the total number of breakfast orders. Given that the total number of orders is 176 and the percentage of orders that were for eggs is 43%, we can calculate the number of egg orders by multiplying 176 by 43% (or 0.43 as a decimal).
To calculate this, take the total number of breakfast orders and multiply it by the percentage of orders that were for eggs. In this case, that would be 176 (the total orders) multiplied by 0.43 (the percentage of orders made up of eggs).
Here's how to calculate it: 176 * 0.43 = 75.68 Because we can't really have a fraction of an order, we'll round to the nearest whole number, which gives us 76 orders.
Therefore, the answer is c) 76.
Learn more about Percentage Calculation here:https://brainly.com/question/329987
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Any suggestions or answers
Answer:
a. Triangular prism
b. (Perimeter of base×height) +2(base area)
c. Total surface area
[tex] = 11(3 + 4 + 5) + 2( \frac{1}{2} )(3)(4) \\ = 11(12) + 3(4) \\ = 132 + 12 \\ = 144 \:{cm}^{2} [/tex]
The reason why we multiply the perimeter of the base by the height is because we are trying to find the area of each of the rectangular sides of the prism. (length×breadth)
what is the solution to y=6x+25 y=12x-9
Answer:
x=17/3, y=59. (17/3, 59).
Step-by-step explanation:
y=6x+25
y=12x-9
--------------
6x+25=12x-9
12x-6x-9=25
6x-9=25
6x=25+9
6x=34
x=34/6=17/3
y=12(17/3)-9=4*17-9=68-9=59
number 24 please help
Answer:
is 24 a b c and d?
Step-by-step explanation:
Irwin purchased a $195,000 home with a 30-year mortgage at
5.55%. If makes a $1500 monthly mortgage payment, how
many months early will he pay off his mortgage?
A. 224 months
B. 127 months
C. 136 months
D. 160 months
Given the figure below find the values of x and z.
What is 78 1/3 as a fraction
Answer:235/3
Step-by-step explanation:
Two hundred and thirty five over three as an imperfections fraction
Answer:
235/3
Step-by-step explanation:
78 * 3 from denominator which equals 234 + 1 from the numerator.
Find the reciprocal of -1 1/12
Answer:
-12/13
Step-by-step explanation:
Suppose point P(4, -9) is translated according to the rule (x,y)→(x+3,y-2). What are the coordinates of P'? Explain.
The coordinates of P' is [tex](7,-11)[/tex]
Explanation:
The coordinates of Point P is [tex](4,-9)[/tex]
It is given that the point P is translated according to the rule,
[tex]$(x, y) \implies(x+3, y-2)$[/tex]
Now, substituting, the values for x and y, we get,
[tex](4,-9)\implies(4+3,-9-2)[/tex]
Adding the values, we get,
[tex](7,-11)[/tex]
Thus, the coordinates of P' is [tex](7,-11)[/tex]
I WILL GIVE BRAINLIEST
Paulina gets on an elevator. At the first stop, 4 people get off and 3 get on. At the second stop, 5 people get off and one gets on. At the the third stop, Paulina gets off. If 4 people are still on the elevator when Paulina gets off, how many people were on the elevator when she got on?
Answer:
look down + pls give me brainiest
Step-by-step explanation:
Let x = number of people when she got on.
x -4+3 -5+1 -1 = 4
x -6 = 4
Solve for x to get x=10.
So there were 10 people when Paulina got on (including herself).
Simplify the radical 80
3/8s of the students in Ms Mull’s class ride the bus. If there are 24 students in the class how many students ride the bus?
Answer:
9 students ride the bus.
Step-by-step explanation:
First you take the amount of students which is 24 and divide the denominator which is 8. then you would get 3, meaning 1/8 = 3 students. Now you would multiply the 3 students making one 8 by three ( because there are 3/8 students taking the bus, and you would get 9 students.
Final answer:
To find how many students ride the bus in Ms Mull's class, multiply the fraction of bus riders (3/8) by the total number of students (24), resulting in 9 students who ride the bus.
Explanation:
The question asks to determine how many students in Ms Mull’s class ride the bus, given that 3/8 of the students use the bus and there are 24 students in total. To find the number of students who ride the bus, multiply the total number of students by the fraction that represents the bus riders.
Identify the total number of students: 24.
Calculate 3/8 of 24:
(3/8) × 24.
Multiply: 3 × 3 = 9 (since 24/8 = 3).
Conclude that 9 students in Ms Mull’s class ride the bus.
What numbers describes the values of the square root of 215
Answer:
The value in decemal form would be 14.66287829 or 14.66287
Step-by-step explanation:
√ 215
If 5(3-2y)+4y=8 what is y
Answer:
7/6 (= 1 1/6)
Step-by-step explanation:
5(3-2y)+4y=8 (by PEDMAS, expand distribute parenthesis first)
3(5) -2y(5) + 4y = 8
15 - 10y + 4y = 8
15 - 6y = 8 (subtract 15 from both sides)
-6y = 8 - 15
-6y = -7 (divide both sides by -6)
y = -7 / -6 = 7/6 = 1 1/6
Answer:
y = 10.5
Step-by-step explanation:
5 x (3 - 2y) + 4y = 8
5 x (3 + -2y) + 4y = 8
15 + -10y + 4y = 8
15 + -6y = 8
(15/6) (-6y/+6)
2.5 Y
-Y + 2.5 = 8
10.5 - 2.5 = 8
Which expression has a positive quotient? Negative three-fourths divided by Negative two-thirds Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth Negative 6 divided by Five-thirds
Answer:
The correct answer is 1 and 1/2
Trust Me
Answer:
The correct option is A
Step-by-step explanation:
quiz
What is the answer for the question
Answer:
200.52 m²
Step-by-step explanation:
A = 12² + π·6²/2
= 144 + 36π/2
= 144 + 18×3.14
= 144 + 56.52
= 200.52 m²
The following formula is used to calculate the monthly payment on a personal loan. P = P V times StartFraction i over 1 minus (1 + i) superscript negative n EndFraction In this formula, n represents the _____ . a. number of periods over which interest is calculated on the loan b. number of applicants for the loan c. number of years it will take to pay the loan back d. number of dollars the loan is for
Answer:
a. number of periods over which interest is calculated on the loanStep-by-step explanation:
The equation is:
[tex]P = PV\times \frac{i}{1-(1 + i)^{-n}}[/tex]
Where,
PV is the present value or the amount of the loan.i is the interest rate per period and is calculated dividing the yearly percent rate by 100 and by the number of periods in a year.n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.For example, to calculate the montly payment of a $30,000 loan to be paid in 10 years, at 8% compounded monthly, you use>
PV = 30,000i = (8 /100) / (12) = 0.08/12 ≈ 0.006667n = 10 years × 12 months/year = 120 months = 120 periods.Hence, n represents number of periods over which interest is calculated on the loan.
Answer:
to sum it up its A
Step-by-step explanation:
2019 Chapter Sprint Round, #20
Jones is chasing a car 800 meters ahead of him. He is on a horse moving at 50 km/h. If Jones catches up to the car in 4 minutes, how fast was the car moving?
Answer:
[tex]Speed\ of\ car=38\ km/h[/tex]
Step-by-step explanation:
Distance Covered by Horse:
[tex]Speed\ of\ horse=50\ km\h=50\times \frac{1000}{60}\ meter/ minute\\\\Speed\ of\ horse=\frac{2500}{3}\ meter/minute\\\\Distance\ covered\ in\ 4\ minutes=speed\times time=\frac{2500}{3}\times 4\\\\Distance\ covered\ in\ 4\ minutes=\frac{10000}{3}\ meters\\\\[/tex]
Distance covered by Car:
[tex]Let\ speed\ of\ car=x\ meter/minute\\\\time=4\ minutes\\\\Distance\ covered=speed\times time=4\times x=4x[/tex]
[tex]Distance\ covered\ by\ horse=Distance\ covered\ by\ car+800\\\\\frac{10000}{3}=4x+800\\\\4x=\frac{10000}{3}-800\\\\4x=\frac{7600}{3}\\\\x=\frac{7600}{3\times 4}\ meter/minute\\\\x=\frac{7600}{3\times 4}\times \frac{60}{1000}\ km/h\\\\x=38\ km/h[/tex]
Final answer:
Jones' horse travels at 833.33 meters per minute, and in 4 minutes it covers 3333.32 meters. The car travels 2533.32 meters in the same time, giving it a speed of 633.33 meters per minute or 38 km/h.
Explanation:
To find out how fast the car was moving, we can begin by converting Jones' speed into meters per minute because the distance is given in meters and time in minutes. Jones moves at 50 km/h which is approximately 833.33 meters per minute (since 50,000 meters in 60 minutes).
Jones catches up to the car in 4 minutes, which means he covers the 800-meter gap plus however far the car travels in that same time. In 4 minutes, Jones travels 4 minutes * 833.33 meters/minute = 3333.32 meters. Therefore, the car must have traveled 3333.32 meters - 800 meters = 2533.32 meters in 4 minutes.
We can then calculate the car's speed by dividing the distance it traveled by the time it took: 2533.32 meters / 4 minutes, which gives us 633.33 meters per minute. To convert this back into kilometers per hour, we multiply by 60 minutes and divide by 1000 meters to get the speed of the car in km/h. This results in 38 km/h as the car's speed.
simplify 2/3(3x+6)-3
Answer:
Baked Potato
Step-by-step-explanation:
Go ahead to the nearest grocery or supermarket, and buy a plain potato, go back home and take the plastic off of it, put it in the microwave on it's side for around 6 or 7 minutes, depending how burnt you like it, 6 is normal, 7 is a little bit burnt. Take it out with an oven mitt, as it will be very hot, and flip it over on the other side and put it in the microwave on the side for that many minutes as you did before. After the timer, take it out with something on your hands to protect them, then slit the middle with a knife, and add some butter and mash it around, and enjoy!
the product of 3 and m
Mrs.Gunn makes one costume in 3hours and 20 minutes. How long will it take her to make 6 costumes for a school play?
Answer:
20 hours
Step-by-step explanation:
We can change the 3 hours and 20 minutes to "minutes" instead of hours:
1 hour is 60 minutes. So 3 hours is 60 * 3 = 180 minutes.
Add the 20 : 180 + 20 = 200 minutes for one costume.
Multiply by 6 for 6 costumes: 200 * 6 = 1200.
So 1200 minutes or 1200/60 = 20 hours to make 6 costumes
Solve for x if DEFG is a parallelogram
1a.) Write an expression that represents the area of a circle with a radius of 7 units? (1 point)
b. Using your expression, solve for the area of a circle with a radius of 7 units. (1 point) PLEASE HELP PLEASE WILL MARK BRAINLIEST AND GIVE POINTS
Final answer:
To find the area of a circle with a radius of 7 units, use the formula A = πr². Substitute 7 for r to get A = π(7²), which calculates to approximately 153.93804 square units. We round it to 150 square units, to match the significant figures of the radius.
Explanation:
The expression representing the area of a circle with a radius of 7 units is A = πr², where 'A' is the area and 'r' is the radius of the circle. To solve for the area with a radius of 7 units:
Substitute the radius (7 units) into the expression: A = π(7²).
Square the radius: 7² = 49.
Multiply by π (approximately 3.14159): A = π(49) or A ≈ 3.14159 × 49.
Calculate the area, which gives approximately 153.93804 square units.
Since the radius is given in two significant figures, you should express the area in two significant figures: A ≈ 150 square units.
Trina and Jessie went on vacation to Hawaii. Trina went scuba diving and reached an elevation of -85.6 meters. Jessie went hand gliding and reached an altitude of 87.9 meters. Write and solve an equation to find the distance between Trina and Jessie.
Answer:173.5
Step-by-step explanation:87.9+85.6 =173.5
you have to use absolute value to turn them both positive
Hope this helps
It cost $6 to join an online DVD club and $2.50 to rent a DVD. Write an equation for the relationship that gives the total cost y in dollars for renting x DVD. Then complete the table.
DVD rented 3, 4, 5.
Answer:
store A
Step-by-step explanation:
Simplify 24-4.57+(-4.62
Final answer:
To simplify the expression 24 - 4.57 + (-4.62), add the negative numbers together and then subtract the sum from the positive number, resulting in a simplified answer of 14.81.
Explanation:
The question involves simplifying an expression, which is a basic arithmetic operation in mathematics. We are given the expression 24 - 4.57 + (-4.62). To simplify, we need to combine like terms and perform the addition and subtraction.
First, let's combine the positive and negative numbers separately:
Positive number: 24
Negative numbers: -4.57 and -4.62
We add the negative numbers together: -4.57 + (-4.62) = -9.19
Now, we subtract this sum from the positive number:
24 - 9.19 = 14.81
Therefore, the simplified result of the expression 24 - 4.57 + (-4.62) is 14.81.
Celinda and Elsa deliver a 24-minute presentation. They each present for the same amount of time. For how mar
does each student present?
6 minutes
8 minutes
12 minutes
14 minutes
Answer: 12 minutes
Step-by-step explanation: Since there are 2 people and 24 minutes total, you have to divide the total time by the amount of people. The equation will be 24=2x, so divide 24 by 2 and you get 12
Which nation has a command economy?
O Cuba
O Norway
South Korea
o the United States
Answer:
Cuba
Step-by-step explanation:
When solving the equation 2y2 – 16y = 6 by completing the square, what is your first step?
Question 6 options:
Divide –16 by 2 and square the result.
Divide each side of the equation by 2.
Take the square root of 6.
Subtract 6 from each side of the equation.
Answer:
Divide each side of the equation by 2.
Step-by-step explanation:
(I took the test so i know its right) Basically, when doing the this by completing the square we need y^2 by itself, so we divide 2y^2-16y=6 by two first.
Answer:
Divide each side of the equation by 2.
Step-by-step explanation:
2y² – 16y = 6
Divide both sides by 2
y² - 8y = 3