Board:
Width = 3 feet = 3*12 = 36 inches
Height = 1 foot = 1*12 = 12 inches
36 in (board width) / 2 in (posit width) = 18
12 in (board height) / 2 in (posit height) = 6
Area = base * height
Area = 18 post-its wide * 6 post-its height = 108 post-its
Answer:16
Step-by-step explanation:I think
Can someone who will answer this question please answer this
Answer:
CBD=63
Step-by-step explanation:
Since ABD is the total angle which contains CBD and ABC, ABC+CBD=96. With this, you can set up an equation.
6x+27+7x-9=96
13x+18=96
13x=78
x=6
6x+27=6(6)+27=36+27=63 degrees. Hope this helps!
An unloaded truck can travel 689 kilometers (km) in 5 hours. If
the truck is loaded with fruit instead, it can travel 144 fewer
kilometers within the same time. What is the speed for the
truck loaded with fruit?
____km/h
Answer: 109 km/h
Step-by-step explanation:
Hi to answer this question we have to divide the distance traveled by the truck loaded with fruit (689-144) by the time that it took. (5)
Kilometers within the same time
Mathematically speaking:
(689-144)kilometers /5 hours = 109 km/h
Feel free to ask for more if needed or if you did not understand something.
I don’t know how to find the value.
Answer:
x=20
Step-by-step explanation:
The angles are vertical angles, which means they are equal
2x+20 = 60
Subtract 20 from each side
2x+20-20 = 60-20
2x = 40
Divide each side by 2
2x/2 = 40/2
x =20
Answer:
x=20. C.
Step-by-step explanation:
You see, 2x plus 20 and 60 are vertical angles. They are angles that go head to head. Vertical angles are also congruent, so if they are congruent you can write an equation, 2x+20=60. Solve for x, minus both sides by 20, and you get 2x=40. Divide both sides by 2 and you get x=20. Hope this helps!
The length of a rectangle is six times its width. If the perimeter of the rectangle is 126cm , find its area.
Answer:
The area = 486 cm^2
The length is 54 cm and the width is 9 cm
54 times 9 = 486
What is the volume of the cone below?
A. 3967 units
B. 132 units3
C. 792 units3
D. 264 units3
Answer:
D
Step-by-step explanation:
v= pi x radius^2 x height / divided by 3
V- pi x 6^2 X 22 /3
pi x 36 x22 /3
792pi/3
=264pi
The volume of the given figure is 264π cubic units.
Given a cone with the height of 22 units and the radius of base is 6 units.
From the general formula of the volume of the cone;
Volume of the cone = [tex]\frac{\pi r^{2} h}{3}[/tex]
where r = radius,
and h = height
In our case,
r = 6
h = 22
Thus,
volume = (π*6²*22)/3
volume = 264π cubic units
Therefore, the volume of the given figure is 264π cubic units.
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Leonard brought 4 liters of orange juice. How many mililiters of juice does he have?
Answer:
4+x
Step-by-step explanation:
4 and however much juice he had before. there is not enough information to answer this question with certainty.
Leonard has 4000 milliliters of orange juice.
To convert liters to milliliters, we need to use the conversion factor between these two units. There are 1000 milliliters in 1 liter.
Leonard brought 4 liters of orange juice.
To find out how many milliliters of juice Leonard has, we multiply the number of liters by the conversion factor:
[tex]\[ 4 \text{ liters} \times 1000 \text{ milliliters/liter} = 4000 \text{ milliliters} \][/tex]
Therefore, Leonard has 4000 milliliters of juice.
Hi, What is 678 divided by -4 times 56xs then added 7h.
Answer:-9492xs+7h
Step-by-step explanation:Step-by-step explanation:if you do 678 divided by -4 it would be -169.5 then multiply that by 56 witch would be -9492 then times s would be -9492xs then that added to 7h would be -9492xs+7h and your final answer.
678 divided by -4 it would be -169.5 then -169.5x56 would be -9492 so yeah
I need help. I will give 100pts. Reese simplified this expression. What error did he make?
(10m^(3)n^(5))/(5mn^(2))=(10(mn)^(8))/(5(mn)^(2))=2(mn)^(6)
He did not make an error because 2(mn)6 is correct.
He did not divide by 5mn2.
He used a law of exponents on factors with different bases.
He should have divided the exponents for a final answer of 2(mn)4.
Answer:
Correct answer is C, He used a law of exponents on factors with different bases.
Step-by-step explanation:
Hope this help :)
Answer:
5 * (2m + n)
Step-by-step explanation:
10m2 - 5mn - 5n2
Simplify ————————————————
m - n
Gabrielle is cutting a triangular sign with a base of 8 inches. The perpendicular distance from the base of the sign to its vertex is 9 inches. What is the area of the sign?
The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.
Step-by-step explanation:
The given is,
Gabrielle is cutting a triangular sign
Base of 8 inches
The perpendicular distance from the base of the sign to its vertex is 9 inches
Step:1
Formula for area of triangle is,
Area, [tex]A = \frac{bh}{2}[/tex].....................................(1)
Where, b - Base of triangle
h - Height of triangle
From given value,
b - 8 inches
h - 9
Equation (1) becomes,
[tex]A = \frac{(8)(9)}{2}[/tex]
[tex]=\frac{72}{2}[/tex]
= 36
Area of triangle sign, A = 36 square inches
Result:
The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.
Answer:
36 in squared
Step-by-step explanation:
William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?
Answer:
220π or 690.8 yds
Step-by-step explanation:
The length of a trail is 690.8 yards
How to determine the length of the trailThe radius of the park is given as:
r = 110 yards
The length of the trail is the circumference of the park.
The circumference is calculated as:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 110[/tex]
Evaluate
[tex]C =690.8[/tex]
Hence, the length of a trail is 690.8 yards
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Solve the system by graphing. Where necessary, indicate when the system has no solution or infinitely many solutions.
y = 2x + 1
y = 2x - 5
A. (1,-3)
B. (-2,-1)
C. (2,0)
D. no solution
Answer:
(D)
Step-by-step explanation:
When graphed, the lines do not cross at any point. There is a picture of this below.
The system has no solution.
Answer:
D. No Solution
Step-by-step explanation:
Both lines have a slope of 2x so that means they are parallel and will never cross
Which terms complete the factorization of x2+27x+162 represented by the model?
A. 27,9x, 18x
B. 9, 9x, 18x
C. 27,9x,27x
D. 9,9x,27x
Answer:
Your not sure??? It's B. (option 2.) I've done that on edge.
Step-by-step explanation:
The terms that should complete the factorization of the given equation should be option b B. 9, 9x, 18x
Calculation of Factorization:Since the equation is [tex]x^2+27x+162[/tex]
So,
[tex]x^2 + 18x + 9x + 162\\[/tex]
x(x + 18) + 9(x + 18)
(x + 9) (x + 18)
So based on this, there are 3 factors i.e. 9, 9x and 18x
Therefore, The terms that should complete the factorization of the given equation should be option b B. 9, 9x, 18x
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There are 100 applicants applying for three equal cosmetology positions. How many different groups of
three can be selected to fill the positions?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of different groups of three people that can be selected to fill the positions is 970,200.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that there are 100 applicants applying for three equal cosmetology positions.
Now, if a person takes up a position the same person can not take the other position, therefore, only 99 people will be left for the second position.
The same will happen with the third position, therefore, there will be only 98 people that can take the third position.
Therefore, the number of different groups of three people that can be selected to fill the positions is,
Number of different groups
= Number of applications to feel the first position × Number of applications to feel the second position × Number of applications to feel the third position
= 100 × 99 × 98
= 970,200
Hence, the number of different groups of three people that can be selected to fill the positions is 970,200.
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. A stadium sold 33,300 tickets to a concert. Which statement about this number is true?
a
The value of the digit in the tens place is 10 times the value of the digit in the hundreds place.
b
The value of the digit in the thousands place is 1/10 the value of the digit in the ten thousands place.
c
The value of the digit in the hundreds place is 10 times the value of the digit in the thousands place.
d
The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.
Answer: D ; The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.
The true statement is The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.
What is data?Data is information that has been translated into a form that is efficient for movement or processing.
Given statement:
A stadium sold 33,300 tickets to a concert.
As, per the given number we can see that the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.
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Find the surface area of the pyramid to the nearest whole number.
Answer:
20 in
Step-by-step explanation:
What Are Area Formulas?
Area of square = (side) 2
Area of rectangle = length × breadth
Area of triangle = (1/2) × base × height
Answer:its 180
Step-by-step explanation:
i just took the test
Tammy made a bracelet using red, white, and blue string. The red string is 2.4 centimeters long, the white string is 2.1 centimeters long, and the blue string is 2.6 centimeters long. What is the total length of the three strings? a.) 7.1 cm c.) 5.5 cm b.) 6.1 cm d.) 4.27 cm
Answer:
2.4cm
+
2.1cm
+
2.6cm
=7.1cm
Please helllpppp quickly!!!!
10)
Which of these tables does NOT represent a function?
All of the tables represent functions.
Answer:
Letter B does not because 3 cannot go to both 6 and 7
Answer:
B
Step-by-step explanation:
The definition of a function is when each input has exactly one output. In table B, the input 3 has 2 outputs. Therefore, it must be B
The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 2300 people enter the zoo and $7,450.00
is collected. How many children and how many adults attended?
Answer:
700 children and 1600 adults.
Step-by-step explanation:
Given:
The admission fee at a local zoo is $1.50 for children and $4.00 for adults.
On a certain day, 2300 people enter the zoo and $7,450.00 is collected.
Question asked:
How many children and how many adults attended?
Solution:
Let number of children enter the zoo = [tex]x[/tex]
Then number of adults enter the zoo = [tex]2300-x[/tex]
Total collection = $7,450
Collection from children + Collection from adults = 7450
[tex]1.50\times x+4(2300-x)=7450\\ \\[/tex]
[tex]1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\[/tex]
Subtracting both sides by 9200
[tex]-2.5x+9200-9200= 7450-9200[/tex]
[tex]-2.5x=-1750[/tex]
Minus is canceled by minus.
[tex]2.5x=1750[/tex]
Dividing both sides 2.5
[tex]x=700[/tex]
Number of children enter the zoo = [tex]x[/tex] = 700
Number of adults enter the zoo = [tex]2300-x[/tex] = 2300 - 700 = 1600
Thus, 700 children and 1600 adults attended the local zoo on that day.
Solve x2 = 121. (25 points)
Answer: 11
Step-by-step explanation:
[tex]x^{2}[/tex] = 121
x = [tex]\sqrt{121}[/tex]
x = 11
Answer: 11
Step-by-step explanation:
Four sizes of scaled text are shown. Four rows of text and numbers. The first row contains a question mark followed by the phrase Website text size. The next row contains the number one followed by the phrase Website text size, but smaller than the previous row. The third row contains the number zero point nine three seven followed by the phrase Website text size, but smaller than the previous row. The fourth row contains the number zero point eight seven eight followed by the phrase Website text size, but smaller than the previous row. What is the unknown scale size? Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth.
Answer:
1.067 would be the answer your looking for in this question.
The unknown scale size is approximately 0.878.
Explanation:The unknown scale size can be determined by comparing the sizes of the text in each row. We can observe that each row represents a smaller size than the previous row. The first row has a text size of 1, the second row has a smaller text size, the third row has an even smaller text size, and the fourth row has the smallest text size. Therefore, the unknown scale size is between 0.878 and 0.937.
To find the exact scale size, we can estimate the last decimal place. Since the space between the third and fourth small tick marks is divided into ten equal parts, we can estimate the hundredths place to be 3. Therefore, the unknown scale size is approximately 0.878.
Need help ASAP!!!!!!
Consider the graph of Angle BAC below.
Suppose angle BAC is reflected over the y-axis. What are the coordinates of angles B’A’C’?
Answer:
Point B would be 6 A would be 5 and C would be 3
basically, when you reflect something on a graph, its just going to be the same number of points but on the other side of the graph,
so bc you started with -6, when you reflect it you get 6, and so on
Simplify:2(x2 + 5) − 3(x + 1) + 3
A) x2 − 3x + 10
B) 2x2 − 3x + 10
C) −2x2 − 3x + 10
D) 2x2 − 3x − + 13
Step-by-step explanation:
2x2 + 10 - 3x - 3 + 3
Solving like terms
2x2 - 3x + 10
Option B is the correct answer
Answer:
2x2 + 10 - 3x - 3 + 3
Step-by-step explanation:
2x2 + 10 - 3x - 3 + 3
How to Factor -6x-18y
Answer:
-6 (x + 3y)
Step-by-step explanation:
You can't factor out any variables in this case so you should look towards factoring out a number
To fully factor, you find the greatest common factor between terms and extract that, placing it on the outside of the parenthesis.
So you rewrite -18y as -6 times 3y and rewrite -6x as -6 times x.
The factored form of expression (- 6x - 18y) by using GCD (greatest common factor) and factorization method is ''- 6 (x + 3y)''
Given that,
Factor the expression (- 6x - 18y)
Used the concept of GCD (greatest common factor) and factorization method to find the factor.
Here, the expression is,
- 6x - 18y
Since, GCD of 6 and 18 = 6
Hence, take 6 as a common term,
- 6x - 18y
= - 6 (x + 3y)
Therefore, the factor form of expression is ''- 6 (x + 3y)''
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Which describes the reflection of the figure?
Answer:
An object and its reflection have the same shape and size, but the figures face in opposite directions. The objects appear as if they are mirror reflections, with right and left reversed. A reflection can be seen, for example, in water, a mirror, or in a shiny surface.
Step-by-step explanation:
Answer:
When the coordinates transfer across x or y axis in the same points but on the opposite side
I hope this helps
Simplify: –3(y + 2)^2 – 5 + 6y
HELP! Which shapes are decomposed correctly so that it could be used to to find its area? Assume side lengths are known.
Answer:
Step-by-step explanation:
c
Answer:
b a d ;) just not c
Step-by-step explanation:
Pleaseee helpppppp !
Answer:
122
Step-by-step explanation:
Inscribed Angles measure 1/2 of the central angle, using this:
61*2 = 122
Pls help mw with this
Which point is the vertex of the angle below?
Answer:
C. F.
Step-by-step explanation:
The vertex is the point at which the lines that define the angle's amplitude meet.
In this case, they meet in point F.
Answer:
F
Step-by-step explanation:
Jen interviewed 150 students for the school paper. She found that 90 of the students volunteer at a
charity. What percent of the students volunteer at the charity?
Answer:
60%
Step-by-step explanation:
90 * 100 = 9000
9000/150 = 60
60%
The percent of the students that volunteer at the charity are 60%.
Total number of students interviewed by Jen = 150
Total number of students who volunteer at charity = 90
Assume that the percent of the students that volunteer at the charity as {x}%. So, we can write -
{x}% of 150 = 90
x/100 x 150 = 90
15x/10 = 90
3x/2 = 90
x = 180/3
x = 60%
Therefore, the percent of the students that volunteer at the charity are 60%.
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