Answer:
28/50, or 56 percent.
Step-by-step explanation:
Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.
Two boards, one four inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 60 degrees. If this structure is painted and the boards are separated what is the area of the unpainted region on the four-inch board? (The holes caused by the nails are negligible.) Express your answer in simplest radical form.
Answer:
The area of the unpainted region on the four inch board = 160·√3 in.²
Step-by-step explanation:
Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram
The dimensions of the formed parallelogram are;
Interior angles = 60° and 120° (adjacent angles of a parallelogram)
Height, h of parallelogram formed = 4 inches
From the angle of crossing of the parallelogram, we have;
Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°
Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;
[tex]b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches[/tex]
Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²
Hence, the area of the unpainted region on the four inch board = 160·√3 in.².
Find the width of a cereal box that has a volume of 11,340 cm3 and is 35 cm long and 36 cm high.
A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the frame?
Answer: The area of the photo that fits the frame is 192 square inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle (A) = Length x width
Replacing with the values given and solving for A (area):
A = 16 x 12 = 192 in2
The area of the photo that fits the frame is 192 square inches.
Feel free to ask for more if needed or if you did not understand something.
Answer:
192
Step-by-step explanation:
4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sales, n, must the salesperson make in order to meet that goal?
PLEASE HELP!!!!!!!!!!
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Subtract the $60 out of the total first
250 - 60 = 190
Divide this value by pay per sale:
190 / 4.50 = 42.2222
Thus, they must make 43 sales in order to meet the goal
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PLEASE HELP !
Solve the system of equations and round answer to the nearest tenth :
y = 2.3 • x + 160.7
y = 3.58 • x + 202.6
Answer:
work is shown and pictured
$725 at 3.25% for 6 months
What is the standard form of this expression?
(4y − 9)(2y − 3)
This is an economic question so I didn't find a category for it.
what is most important skill when preparing for a certification exam?
A. Leadership
B.Communication
C.Time management
D. Reading
3r-30=6+7r
solve for r
Answer:
r = -9
Step-by-step explanation:
First we want to ge the rs in the same place:
[tex]3r-7r=6+30[/tex]
[tex]-4r = 36[/tex]
[tex]r=-9[/tex]
Answer:
r= -9
Step-by-step explanation:
[tex]3r-30=6+7r\\Collect like terms\\3r-7r= 6+30\\-4r = 36\\Divide both sides by -4\\r = -9[/tex]
3y
What happens to the value of the expression as y increases?
2y
Choose 1 answer:
It increases.
B
It decreases.
It stays the same
Answer:
decreases
Step-by-step explanation:
Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. What might Joe's buildings have looked like?
Answer:
The three buildings can look like following:
1. The building can look like a cube, with each side and height equal to 2.62 cm.
2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
Step-by-step explanation:
The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:
1. CUBIC SHAPE:
The building can look like a cube with the length of each side and height given as:
Volume of Cube = 18 cm³ = L³
L = ∛18 cm³ = 2.62 cm
Thus, the building can look like a cube, with each side and height equal to 2.62 cm.
2. CUBOID SHAPE:
The building can also look like cuboid with the following dimensions.
Length = 3 cm
Breadth = 1 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Cuboid = Length * Breadth * Height
Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³
Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. PYRAMID SHAPE:
The building can also look like pyramid with the following dimensions.
Length = 3 cm
Breadth = 3 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Pyramid = (Length * Breadth * Height)/3
Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³
Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
ella bought 2.7 yards of fabric for $3 per yard how much did she spend
Answer:
$8.10
Step-by-step explanation:
You can just multiply how many yards she bought by the price per yard.
3×2.7=
$8.10
She spent 8 dollars and 10 cents.
Can you help me and show work 2
Thank you
Answer:
sure it's 3 2/3
Step-by-step explanation:
the yards are 50 inches so it is going to be
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 b.Explain the value of each digit in your answer to 1(a) using place value terms.
Answer: $5.5
Step-by-step explanation:
Here is the complete question:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms
Item sold = 486
Total amount = $2673
Price of each item = Total amount/items sold
= 2673/486
= $5.5
Each item costs $5.5.
5.5 = 5 units and 5 tenths.
The first number after the decimal point by the right is the tenths.
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All four angles sum to 360 so the remaining two add to 360-180-20=160.
7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.
Answer: 70 degrees and 90 degrees
Answer:
7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.
Answer: 70 degrees and 90 degrees
Step-by-step explanation:
helppp pt.5 plzzzzz
Answer: 60 cm²
Step-by-step explanation:
This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...
12 ÷ 3 = 4
180 ÷ 3 = 60
The answer is 60 cm²
I hope this helps!
PLEASE HELP TY
show all work
Answer:
36 cm
Step-by-step explanation:
[tex]V= \frac{4}{3} \pi r^{3}[/tex]
[tex]3V= 4\pi r^{3}[/tex]
[tex]r^{3}=\frac{3V}{4\pi }[/tex]
[tex]r= 3\sqrt{\frac{3V}{4\pi } }[/tex]
[tex]r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }[/tex]
r=18 cm
diameter= d= 2r
d= 2(18cm)= 36 cm
A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown.
What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red?
Answer:
[tex]\frac{5}{143}[/tex] chance
Step-by-step explanation:
Chance of getting yellow first time: [tex]\frac{2}{13}[/tex]
Chance of getting green without replacement from yellow: [tex]\frac{5}{12}[/tex]
Chance of getting red without any replacement: [tex]\frac{6}{11}[/tex]
[tex]\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}[/tex]
Two joggers run 8 miles north and then 5 miles west. What is the shortest distance , to the nearest tenth of a mile, they must travel to return to their starting point?
PLSS HELP EXTRA POINTS, WILL GIVE BRANLIEST!!
Answer:
9.4 miles
Step-by-step explanation:
We can assume that if these joggers run 8 miles north, consecutively 5 miles west, these lengths form legs of a right angle triangle, from which we have to determine the hypotenuse of the triangle provided it would lead to the shortest route possible;
Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this hypotenuse, which we can assign as x;
8^2 + 5^2 = x^2 ⇒ square 8 and 5,
64 + 25 = x^2 ⇒ Combine like terms,
x^2 = 89 ⇒ Take square root on either side
Solution; Shortest Distance ⇒ length of 9.4 miles
The volume of a cylinder is 47x3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
2x
4x
2x2
4x2
Answer:
c
Step-by-step explanation:
The expression for the radius of the cylinder is r = 2x units
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be represented as V
Now , the value of V is
V = 4πx³ units
where the height of the cylinder is h = x units
So , the Volume of Cylinder = πr²h
On simplifying , we get
4πx³ = πr²h
Substituting for h , we get
4πx³ = πr² ( x )
Divide by πx on both sides , we get
r² = 4x²
Taking square roots on both sides , we get
r = 2x units
Therefore , the value of r is 2x units
Hence , the radius of the cylinder is 2x units
To learn more about cylinder click :
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1 A pattern of numbers is shown below. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 x 20 x 6 1 Write down the value of x. [1]
Answer:
x=15
Step-by-step explanation:
The pattern of numbers can be re-written in the form below:
[tex]\left\begin{array}{ccccccccccccc}&&&&&&1&&&\\&&&&&1& &1&&&\\&&&&1& &2 &&1\\&&&1 &&3 &&3 &&1\\ &&1 &&4 &&6&& 4&& 1\\ &1 &&5&&10&&10&&5&&1\\ 1 &&6 &&x &&20&& x &&6 &&1\end{array}\right \\[/tex]
The triangular array which involves summing adjacent elements in preceding rows is referred to as the Paschal's Triangle.
Taking the 6th and seventh row, the adjacent elements in the 6th row are summed on the Left Hand sides and the result from the seventh row is given on the right hand sides of the equations below.
1+5=65+10=x10+10=2010+5=x5+1=6We can then see that:
5+10=x; and
10+5=x
10+5=5+10=15
Therefore:
x=15
Answer:
hehe
Step-by-step explanation:
Find the difference. Express your answer in lowest terms.
22 1/3 - 6 3/4
Answer:
15 7/12
Step-by-step explanation:
10 mi
9 mi
7 mi
What is the volume
I'm going to assume that you are trying to find the volume of a rectangular prism.
Volume formula: V = lhw
V = 10*9*7
V = 90*7
V = 630
Therefore, the volume is 630mi³
Best of Luck!
The y intercept is represented by what variable in the equation y=my+b
Answer:
b
Step-by-step explanation:
Answer:
The y-intercept is represented by the variable b in this equation.
graph:y-3=1/2(x+2)
----------------------------------------------------------
Answer:
x intercept = -0.25
y intercept = 4
Step-by-step explanation:
1.- remove parenthesis
y-3 = 1/2x +1
2.- adjust to equal y
y = 1/2x +1 +3
y = 1/2x +4
3.- guess values for x to try in the simplified equation.
x = -0.25 | y = 0
x = 0 | y = 4
x = 2 | y = 5
x = -2 | y = 3
x = 4 | y = 6
x = -4 | y = 2
4.- graph all coordinates (x,y). Draw a line connecting each dotted coordinate.
Answer:
D:(0, 4)
Step-by-step explanation:
how because its me i'm always right
A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive. 1- What is the initial height of the swimmer? 2- What is the max height of the dive? 3) What is the x-intercept ? Explain what does it represent? 3 questions needs to be answered please, any help?
Answer:
See explanation below
Step-by-step explanation:
In picture attached I manage to find one graph. Just follow the explanation of this, if your graph data is different than this.
According to the attached graph we can see that the line of the graph is beggining at 12. So we this, we can assume and say that the initial height of the swimmer is 12 ft.
The max height would be the maximum point in the graph where it reach the maximum height. In other words, the highest point of the line. since the beggining of the jump. As you can see in the graph, this is reached between 22 and 24 ft. So we can assume is around 23 ft. So the maximum height would be 23 ft
Finally the x-intercept, would be the point of the line where it reach the x-axis. In this case, it would be a point really close to 8. You can say it's about 7.8, or even the number 8 if you wish. In this case, let's say it's 7.8 the x-intercept
Fill in the blank:
_?__(x+3)=7x+21
Answer:
The fill-in-the-blank is 7.
Step-by-step explanation:
By factoring out the greatest common factor, 7, you will get 7(x + 3).
7(x + 3) = 7x + 21
Answer:
7
Step-by-step explanation:
Find the perimeter use 3.14
Answer:
21.7 ft
Step-by-step explanation:
You first find the circumference of the entire circle (diameter of 5). The formula is pi times diameter. You should get 15.7 ft. Then you just add 6 because of the line on the top. Your answer should be 21.7 ft. Hope this helped!
Determine if the question posed is a statistical question (yes) or not (no). How many apps do my classmates have on their phones?
Answer:
Statistical
Step-by-step explanation:
You need to collect data to determine the answer of that.
Answer:
Yes
Step-by-step explanation:
"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.
I wasn't really sure how to explain it but I hope it makes sense! :)
Anyone please answer me ,
Please solve this question
Answer:
67
Step-by-step explanation:
Multi-Inscribed Quadrilateral: 15
Bananas: 4
Clock: 3
Therefore, we can substitute for the last equation the values, so it would become:
3 + 4 + 4 x 15 = ?
First, we solve the multiplication according to PEMDAS.
4 x 15 = 60
Then, we can add from left to right.
3 + 4 + 60 = ?
3 + 4 = 7
7 + 60 = 67
Therefore, our answer would be 67.
Answer:
[tex]15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51[/tex](according to BODMAS)
Step-by-step explanation:
First divide 45 by three
[tex]45 \div 3 = 15[/tex]
then subtract 15 from 23 and divide that answer by 2
[tex]23 - 15 = 8 \\ 8 \div 2 = 4[/tex]
Now subtract 4 from 10 and then divide that answer by 2
[tex]10 - 4 = 6 \\ 6 \div 2 = 3[/tex]
Now add 3+4+4*11 you will get the answer for ?
[tex]3 + 4 + 4 \times 11[/tex]
3 + 4 + 44
7 + 44
= 51
hope this helps
brainliest appreciated
good luck! have a nice day!