The area of the hexagon is the amount of space on it
The area of the hexagon is 374.112 square inches
How to detemine the area of the hexagpon?The perimeter is given as:
P = 72 inches
The length of the hexagon is calculated using:
L = P/6
So, we have:
L =72/6 = 12
The area is then calculated as:
A = 1.5[tex]\sqrt 3[/tex] * L^2
This gives
A = 1.5[tex]\sqrt 3[/tex] * 12^2
Evaluate the product
A = 374.112
Hence, the area of the hexagon is 374.112 square inches
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Can you help me please!!✌✌
Answer:
15 dogs
12 cats
Step-by-step explanation:
Let's call the number of cats c, and the number of dogs d.
4d=5c
c+d=27
4c+4d=108
4c+5c=108
9c=108
c=12
d=27-12=15
Hope this helps!
Answer:
15 dogs and 12 cats
Step-by-step explanation:
You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.
4:5 (*3)
12:15
If Maria left a $10.16 tip on a breakfast that cost $86.89, approximately what percentage was the tip.
Answer:
11.6929451 %
Step-by-step explanation:
Take the amount of the tip over the total amount to find the percent left
10.16/86.89 =
.116929451
Multiply by 100 to put in percent form
11.6929451 %
Answer:
approx: 11.693%
Step-by-step explanation:
First divide the tip by the cost:
10.16/86.89
which =
0.11692945103
To get it to a percent we multiply by 100:
0.11692945103x100=
11.692945103
now all we need to do is add the percentage
11.692945103%
And it says approximately so that means round. A good place to round in a number as large as this is the thousandths place, so since the 9 next to the 2 is closer to 10 we make the 2 a 3 to fully complete the rounding.
= 11.693%
please mark brainliest and have a great day
Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?
Yes, Kevin is correct
7
What is the inverse of the statement below?
If a quadrilateral has four right angles, then it is a rectangle.
A.
If a quadrilateral is a rectangle, then it has four right angles.
OB.
If a quadrilateral does not have four right angles, then it is a rectangle.
OC.
If a quadrilateral does not have four right angles, then it is not a rectangle.
D.
If a quadrilateral is not a rectangle, then it does not have four right angles.
Answer:
a if a quadrilateral is a rectangle, then it has four right angles
Step-by-step explanation:
when you know a quadrilateral is a rectangle it has two short sides and two long sides and it has four right angles
A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters
Answer:
The volume remaining is approximately 536 cm³
Step-by-step explanation:
The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:
[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]
While the volume of the cone is:
[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]
What remains on the hemisphere is the difference between these volumes, therefore:
[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]
The volume remaining is approximately 536 cm³
Which statement is true?
Answer:
B
Step-by-step explanation:
The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.
Which expression is modeled by this set of arrows on the number line? A number line going from negative 8 to positive 8. An open circle is at 0. An arrow goes from 0 to negative 3, and from negative 3 to negative 6. Negative 6 divided by (negative 3) Negative 6 divided by 3 6 divided by (negative 3) 6 divided by 3
Answer:
A -6 divided by (-3)
Step-by-step explanation:
pls give brainliest!!! i would REALLY appreciate it! hope i helped :3
The expression which model the given statement is
" negative six is divided by negative 3"
What is expression?The mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between is called expression.
According to the given question.
An arrow goes from 0 to -3. And then -3 to -6.
This shows that from 0 to -6 the line in divided into two parts. And each part is 3 units.
Therefore, the expression which model the given statement is
" negative six is divided by negative 3"
or [tex]\frac{-6}{-3}[/tex] which is equals to 2.
Hence, the required expression is -6/-3.
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On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6 are painted blue, 7 is painted yellow, and 8 is painted gray. If the die is rolled one time, what is the probability that the roll will show an even number AND a face that is painted blue? Provide the final answer as a fraction.
Answer:
0.25
Step-by-step explanation:
outcomes painted in blue: {3, 4, 5, 6}
number of even outcomes painted in blue: 2
number of total outcomes: 8
Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25
The equation of the line of best fit is y = 10x + 40. What does the y-intercept represent?
A.
the total number of questions on the test
B.
the average number of hours the students spent studying
C.
the total number of hours the students spent studying
D.
the test score of a student who did not study
Answer: D
Step-by-step explanation:
For a student who did not study for the test you will still score 40 on the test by using you own knowledge.
Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance the rock traveled, in feet, after each second. Use the information in the image to answer the question.
Answer:
Step-by-step explanation:
1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).
2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground
you may have to change the english a bit and english is not my first language
hope this will help
2a) What is the side length of the following square?*
Answer:
Exact answer: [tex] \sqrt{29} [/tex]
Approximate answer: [tex] 5.385 [/tex]
Step-by-step explanation:
Start at the bottom vertex.
Go up 5 units, then go left 2 units. Now you're at the left vertex.
The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.
We now use the Pythagorean theorem to find the length of the hypotenuse.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 2^2 [/tex]
[tex] c^2 = 25 + 4 [/tex]
[tex] c^2 = 29 [/tex]
[tex] c = \sqrt{29} [/tex]
[tex] c \approx 5.385 [/tex]
Find the unknown side of the triangle below (round to the nearest tenth).
A. 18 cm
B. 22.9 cm
C. 26.9 cm
D. 21.2 cm
Please answer this
[tex]answer = 22.9 \: cm \\ solution \\ hypotenuse = 25 \: cm \\ perpendicular = x \\ base = 10 \: cm \\ now \\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {p}^{2} = {h}^{2} - {b}^{2} \\ or \: {x}^{2} = {25}^{2} - {10}^{2} \\ or \: {x}^{2} = 625 - 100 \\ or \: {x}^{2} = 525 \\ or \: {x} = \sqrt{525} \\ or \: x = 22.9 \: cm \\ hope \: it \: helps[/tex]
A quadrilateral has vertices a(-4 -8) b (-2, 34) c(6,12 and d (10, -30). It undergoes the transformation (x,y) to (x/2,y/2).
What is it's scale factor?
What are the coordinates of the new vertices?
What is a dilatation?
(Will give Brainly)
Answer:
Step-by-step explanation:
scale factor:
1/2
the coordinates of the new vertices are
A (-4/2, -8/2)
A:(-2, -4)
B (-2/2, 34/2)
B: (-1, 17)
C (6/2, 12/2)
C:(3, 6)
D (10/2, -30/2)
D:(5, -15)
I guess the dilation is 2 times bigger?
If a man weighs 300 pounds on Earth, his mass on Earth is 136 kilograms. What would his mass be if he was on the moon?
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
Answer
x= 4.75 y=-22
Step-by-step explanation:
got it right on the unit test!!
Peter made a rectangular sandbox for his brother to play in. The sand box measured 4 feet by 5 feet by 1 One-half feet. How much sand will fill the sandbox?
A: 30 ft2
B: 30 ft3
C: 67 ft2
D: 67 ft3
V
Ben and Phoebe are finding the slope of a line. Ben chose two points on the line
and used them to find the slope. Phoebe used two different points to find the
slope. Did they get the same answer? Complete the explanation.
TE
The slope of a line (select)
the same answer.
from point to point, so they (select)
get
PO
Answer:
They got the same answer
Step-by-step explanation:
A slope is completely linear, and the rate of change is constant, so no matter what points are chosen, the rate of change will be the same.
What would be the cost for 5 of the gift cards?
Answer:100 is the answer
Step-by-step explanation: your going up 20 every dot my G
Answer:
$100
Step-by-step explanation:
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive. Somebody please Help!
Answer:
108/9 = 12
Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12
A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answer in terms of pie
Answer:
Step-by-step explanation:
volume of cone=1/3 πr²h
volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h
=1/3π(R²H-r²h)
=1/3π(4.5²×9-3²×6)
=1/3π×9×3(4.5×1.5-2)
=9π(6.75-2)
=9π×4.75
=42.75π cm³
The volume of frustum of cone is [tex]42.75\pi[/tex]
What is frustum of cone?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
Where,
R = Radius of the bigger circular end
r = radius of the smaller circular end
H = height of frustum
According to the question
Original height of cone = 9 cm
Radius of the bigger circular end = 4.5 cm
Radius of the smaller circular end = 3 cm
Height of frustum = 3 cm
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
= [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]
= [tex]\pi [ 20.25 + 9 + 13.5][/tex]
= [tex]42.75\pi[/tex]
Hence, The volume of frustum of cone is [tex]42.75\pi[/tex] .
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A store uses the expression -2p+ 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere
from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue =
price x number of backpacks.)
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
Answer:
B: $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
Step-by-step explanation:
Answer:
first dude is right :)
Step-by-step explanation:
Solve -8(x+6)-1=5(x-2) for x
The value of X is -3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex]x = - 3[/tex]
Step-by-step explanation:
[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that
has four sides labeled 1 through 4?
Answer:
D : This is because there are 8 outcomes and 2 events.
It cannot be C as C does not show true event outcomes on each H or T event.
Step-by-step explanation:
Tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin:
The coin has two faces: head and tail
possibility set = {H, T}
Number of total possible outcomes = 2
In a pyramid that has four sides labeled 1 through 4:
possibility set = {1, 2, 3, 4]
So a number of possible outcomes = 4
If the tossing a coin and rolling a fair number of pyramid
So the number of possible outcomes = 2×4 = 8
Thus, tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.
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What is the result of subtracting the second equation from the first?
-2x + y = 0
-73 + 3y = 2
Answer:
The result is 2x + 2y - 73 = 2.
can you please solve this!
Answer:
x = 8
Step-by-step explanation:
Help! Please show work and identify the solution or how many solutions there are to the system
Answer:
Step-by-step explanation:
the two given lines are parallel.
Hence they do not intersect.
or they have no solution.
The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?
Answer: After 9 years, the ticket will be $13.79
Answer:
$13.79
Step-by-step explanation:
FV = PV(1+r/100)^9
A =7.50 (1+ [7/100]) ^9
A = $13.79 per ticket
What is 12.5÷2.4 and what are the steps
Answer:
5.2083bar
Step-by-step explanation:
Answer:
5.208333333
Step-by-step explanation:
divied 12.5 by 2.4
For what values of m, the relation K= {(2.3m + 45, 0), (−67m − 8.9, 0)} is a function?
Answer:
The relation is a function for all m-values different than -53.9/69.3Step-by-step explanation:
If the relation is a function, then we can say that
[tex]2.3m+45\neq -67m-8.9[/tex]
Solving for [tex]m[/tex], we have
[tex]2.3m+67m\neq -8.9-45\\69.3m \neq -53.9\\m \neq - \frac{53.9}{69.3}\\[/tex]
Therefore, the relation is a function for all m-values different than -53.9/69.3
Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3
Answer:
(7x +6y)(49x^2 -42xy +36y^2)
Step-by-step explanation:
The factoring of the sum of cubes is a special form:
a³ +b³ = (a +b)(a² -ab +b²)
We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.
Identifying the cubesFrom our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...
343x³ +216y³ = (7x)³ +(6y)³
ApplicationOur factoring pattern above can be used with ...
a = 7xb = 6ySubstituting these values, we have ...
343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)
343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)
