Hello! I would appreciate the help, and please write step by step solutions. Will mark brainliest. Thanks!
Answers
Answer:
15. 31.42 cm^2
16. 25.73 m^2
17. Fly A
Step-by-step explanation:
15.
The blue shaded region is a sector of a circle. The formula for area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]
Where [tex]\theta[/tex] is the central angle and r is the radius
For the diagram, we have 80° arc and 180° arc as the "white" area. Since the whole circle is 360°, the shaded region arc is 360 - (80+180) = 100°. this is [tex]\theta[/tex] and the radius is 6.
Plugging in it in the formula we get:
Area of shaded region = [tex]\frac{\theta}{360}*\pi r^2\\=\frac{100}{360}*\pi(6)^2\\=31.42[/tex] cm^2
16.
We can say that area of shaded region = area of parallelogram - area of circle
Now,
Area of Parallelogram = b * h
where
b is the base (it is 6+3=9) and h is the height (diameter of the circle is the height = 6)
Area of Parallelogram = 9 * 6 = 54
Area of Circle = πr^2 where r is the radius, which is 6/2=3
Area of Circle = π(3)^2 = 9π
Now,
Area of Shaded Region = 54 - 9π = 25.73 m^2
17.
For the first figure (rectangle) we could let the height be h (since not given). So area of yellow region would be 4h (area of rectangle is base * height)
And area of whole ruler would be 8*h = 8h
So probability of landing in yellow region would be [tex]\frac{4h}{8h}=\frac{1}{2}=0.5[/tex]
For 2nd figure, the yellow region has area of π(2)^2 = 4π ( radius of yellow circle is 2 and area of circle is πr^2)
Area of whole circle is π(4)^2 = 16π
So probability of landing in yellow region would be [tex]\frac{4\pi}{16\pi}=\frac{1}{4}=0.25[/tex]
Hence, Fly A is more likely to land in a yellow region.
Related Questions
Use the distributive property to evaluate each expression 7(9 - 4) = ???
Answers
Answer:
7*9-7*4
63-28
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
multiply each number in the parenthesis by the 7 outside
7(9 - 4)
= (7 × 9) + (7 × - 4) = 63 + ( - 28) = 63 - 28 = 35
The points (4,1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of x?
*show work + explain*
urgent!!!
Answers
Answer:
x = -3
Step-by-step explanation:
Substitute the values m = 1 and from the points into the slope formula. Then solve for x.
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\1 = \frac{1--6}{4-x}\\\\1 = \frac{7}{4-x}\\\\4-x = 7\\\\-3 = x[/tex]
A water dispenser has a capacity of 20,000 milliliters. What is its capacity in liters?
Be sure to include the correct unit in your answer.
Answers
Answer:
20
Step-by-step explanation:
So to get 20 all you had todo was multiply 20,000 by 0.001, because milliliters converted into liters is 1 milliliter= 0.001 liters.
Answer:
20 Liters
Step-by-step explanation:
One way to look at it is that there are 1000 mL in one L. But I think a better way in general for unti conversions is to do it like this.
20000 ml * [tex]\frac{1L}{1000 mL}[/tex] Where you can just cancel out the units. Hopefully it made sense. If you were converting from L to ml you would use [tex]\frac{1000 mL}{1 L}[/tex]
Write an equation to describe the relationship in this table.
Answers
Answer:
y = x+5
Step-by-step explanation:
you cant times it by anything but 1 so x then how much does it go up by 5 so y= x+5
Answer:
1 , 5
Step-by-step explanation:
all real numbers between -4 and 6
Answers
The real numbers between -4 and 6 are -3, -2, -1, 0, 1, 2, 3, 4, and 5.
Explanation:The question asks for all real numbers between -4 and 6. In this case, the numbers between -4 and 6 are -3, -2, -1, 0, 1, 2, 3, 4, and 5.
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If the perimeter of the regular octagon is 48in what’s is the area ? ( round it to the nearest tenths)
Answers
Answer:
The area of the octagon is [tex]173.8\ in^{2}[/tex]
Step-by-step explanation:
we know that
The area of a regular octagon is equal to the area of eight isosceles triangle
The base of each isosceles triangle is equal to the length side of the regular octagon
The vertex angle of each isosceles triangle is equal to
[tex]360\°/8=45\°[/tex]
The area of each isosceles triangle is equal to
[tex]A=\frac{1}{2}bh[/tex]
where
b is the length side of the regular octagon
h is the height of each isosceles triangle
Find the length side of the regular octagon b
The perimeter of a octagon is equal to
[tex]P=8b[/tex]
[tex]P=48\ in[/tex]
so
[tex]48=8b[/tex]
[tex]b=6\ in[/tex]
Find the height of each isosceles triangle h
[tex]tan(45\°/2)=(b/2)/h[/tex]
[tex]h=(b/2)/tan(45\°/2)[/tex]
substitute the values
[tex]h=(6/2)/tan(22.5\°)=7.24\ in[/tex]
Find the area of the octagon
[tex]A=8[\frac{1}{2}bh][/tex]
[tex]A=8[\frac{1}{2}(6)(7.24)]=173.8\ in^{2}[/tex]
Which best describes the graphs of the line that passes through (0,2) and (6,4) and the line that passes through (2,1) and (5,7)?
Answers
Answer:
The line which has slope 1/3 is a shallow line.
The line which has slope 2 is a steep line.
Both are increasing.
Step-by-step explanation:
Compare the lines by finding the slope between each pair of points.
Using the slope formula, substitute the points.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]
The line which has slope 1/3 is a shallow line.
The line which has slope 2 is a steep line.
please help me anyone
Answers
Answer:
57 in²
Step-by-step explanation:
S=1/2*8*3=12
4s+9=4*12+9=57
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
1) 14³
2) 3¹⁴
3) 14 ⋅ 3
4) 14 ⋅ 14 ⋅ 14
Answers
➷ This will make sense once you see the formula:
volume = length x width x height
As it is a cube, all lengths are the same
Substitute the values in:
volume = 14 x 14 x 14
Exponents are when you multiply a value by itself
For example, 2 x 2 can be written as [tex]2^{2}[/tex]
In this case, the answer would be option 1. [tex]14^{3}[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
14 x 14 x 14
Step-by-step explanation:
In the diagram, AB CD. If m<3=115, what is m<6=?
55°
65°
75°
115°
Answers
Answer:
65°
Step-by-step explanation:
<3 + <6 = 180 because they are same side interior angles
115 + <6 = 180
Subtract 115 from each side
115-115 +<6 = 180 -115
<6 = 65
ray and hunter sell newspapers after school. ray earns $11 more than hunter. if ray earns $25,how much money does hunter earn?
Answers
Answer:
$14
Step-by-step explanation:
This should be simple, if ray earns $11 more, than hunter earns $25-$11, or $14
To find out how much Hunter earns, we subtract the $11 that Ray earns extra from Ray's total earning of $25, resulting in Hunter earning $14.
The student has asked a question regarding how much Hunter earns if Ray earns $25 which is $11 more than Hunter. To solve this, we subtract $11 from Ray's earnings to find Hunter's earnings:
Ray's earnings = $25Hunter's earnings = Ray's earnings - $11Hunter's earnings = $25 - $11Hunter's earnings = $14Therefore, Hunter earns $14.
which is an equation of the given line in standard form (-3, -1 ) (1/2, 2)
Answers
Answer:
6x - 7y = -11
Step-by-step explanation:
To write the equation of a line when given two points, calculate the slope and substitute it into the point slope form of a line. From this form of the equation, you can simplify and convert to the standard form.
First, find the slope using the formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{2--1}{\frac{1}{2} --3} =\frac{3}{\frac{7}{2}} = \frac{6}{7}/tex]
Substitute m = 6/7 and the point (-3,-1) into the point slope form [tex](y-y_1) = m(x-x_1)[/tex].
[tex]y--1=\frac{6}{7}(x--3)\\y + 1 = \frac{6}{7}(x+3)\\7y + 7 = 6(x + 3)\\7y + 7 = 6x + 18\\-6x + 7y + 7 = 18\\-6x + 7y = 11\\6x - 7y = -11[/tex]
To convert to standard form, multiply the equation by 7. This means each term is multiplied by 7 to clear the denominator. Then multiply using the distributive property. You will now need to move terms across the equal sign. Begin by subtracting 6x from both sides. Then subtract 7 from both side. Lastly, multiply the equation by -1 since the leading coefficient in standard form cannot be negative.
15 points and show steps
Solve for x. Write the smaller solution first, and the larger solution second. -2x^2-9=-107
Answers
Answer:
x = -7 and x = 7Step-by-step explanation:
[tex]-2x^2-9=-107\qquad\text{add 9 to both sides}\\\\-2x^2-9+9=-107+9\\\\-2x^2=-98\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x^2}{-2}=\dfrac{-98}{-2}\\\\x^2=49\to x=\pm\sqrt{49}\\\\x=-7\ \vee\ x=7[/tex]
determine if each example is positive or negative earn $25 which one is it is your feet below sea level or 4 degrees below zero
Answers
Answer:
I would say
earned $25 is positive
0 feet below see level is negative
4 degrees below zero is negative
Step-by-step explanation:
What is the standard form equation of the line shown below? (1 point) Graph of a line going through negative 2, 3 and 1, negative 3
y + 3 = −2(x − 1)
y = −2x − 1
2x + y = −1
−2x − y = 1
Answers
Answer:
y= -2x-1
Step-by-step explanation:
In solving, find the gradient from coordinates given , then use the gradient with one of the pairs to find the equation in form of y=mx+c
finding the gradient
points(-2,3) and (1,-3)
m=change in y/change in x
change in y=-3-3=-6
change in x=1--2=3
m=-6/3 =-2
taking the coordinates (1,-3) and (x,y), the equation will be
y=mx+c, where m=-2
(y--3)/(x-1) =-2
(y+3)/(x-1)= -2
(y+3) = -2(x-1)
y+3=-2x+2
y=-2x+2-3
y= -2x-1
Jorge volunteers 2/3 hour at the animal shelter on wednesday. He volunteers 5 times as many hours on saturday. How many hours does Jorge volunteer on saturday?
Answers
Final answer:
To find out how many hours Jorge volunteers on Saturday, we multiply his Wednesday volunteer hours of 2/3 hour by 5, which gives us 10/3 hours or 3 1/3 hours.
Explanation:
If Jorge volunteers for 2/3 hour at the animal shelter on a Wednesday and volunteers 5 times as many hours on Saturday, we can calculate the hours he volunteers on Saturday. First, multiply the time he volunteers on Wednesday by 5:
2/3 hour × 5 = 10/3 hours, which is equivalent to 3 1/3 hours or simply 3.33 hours when converted to decimal form.
Therefore, Jorge volunteers 3 1/3 hours or 3.33 hours on Saturday at the animal shelter.
What is the rate of change of this function?
Answers
Answer:
50 miles per day
Step-by-step explanation:
Answer:
Step-by-step explanation:
35 per day
ise is shown in this scale drawing. The height of the horse in the drawing is 4.5 inches
The scale that maps the drawing to the actual horse is 1 inch to 1.5 feet.
Scale Drawing of a Horse
4.5 in
Using the scale given, enter the actual height of the horse, in feet.
Answers
6.75 feet is the actual height of the horse
please answer quick!
A phone booth is 3 ft. by 4 ft. by 7 ft. What is the amount of space inside the phone booth?
Answers
Answer:
84
Step-by-step explanation:
3 times 4= 12
12 times 7= 84
a store manager sends an email survey to customers who have registered at the store's websites. Why is this survey biased?
Answers
The survey is biase because it is only surveying shoppers that have registered on the website,.
Can you guys please help me out
Answers
A. ability to access cash value
hope this helps!!
An estimated three out of every 25 men are left-handed what percent of the men are left-handed?
Answers
Answer:
12%
Step-by-step explanation:
3/25 x 100 = 12
Answer:12%
Step-by-step explanation:
3/25 * 100 ☺
Given: AD≅AO
Find: m∠OAD, m∠DBA.
Answers
[tex]OA=OD=AD=R\Rightarrow \bigtriangleup OAD\: is\: an\: equilateral\: triangle \\ \Rightarrow \widehat{AOD}=\widehat{OAD}=\widehat{ODA}=60° \\ \widehat{ABD}= \frac{\widehat{AOD}}{2} = \frac{60°}{2} = 30°[/tex]
Answer:
Step-by-step explanation:
Given: AD≅AO
To find: m∠OAD and m∠DBA.
Solution: It is given that AD≅AO, and also OA≅OD (Radius of circle), therefore ΔAOD is an equilateral triangle.
Hence, m∠OAD=m∠ODA=m∠AOD=60°.
Now, we know that the intercepted angle is half of the central angle, thus
[tex]m{\angle}DBA=\frac{m{\angle}AOD}{2}[/tex]
⇒[tex]m{\angle}DBA=\frac{60^{\circ}}{2}[/tex]
⇒[tex]m{\angle}DBA=30^{\circ}[/tex]
Hence, the measures of [tex]{\angle}OAD[/tex] and [tex]{\angle}DBA[/tex] are [tex]60^{\circ}[/tex] and [tex]30^{\circ}[/tex] respectively.
What is a simpler form of the expression?
(2n^2 + 5n +3)(4n - 5)
Answers
Answer:
8n³ + 10n² - 13n - 15
Step-by-step explanation:
Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is
4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis
= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms
= 8n³ + 10n² - 13n - 15
Answer:
[tex]\large\boxed{(2n^2+5n+3)(4n-5)=8n^3+10n^2-13n-15}[/tex]
Step-by-step explanation:
[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2n^2+5n+3)(4n-5)\\\\=(2n^2)(4n)+(2n^2)(-5)+(5n)(4n)+(5n)(-5)+(3)(4n)+(3)(-5)\\\\=8n^3-10n^2+20n^2-25n+12n-15\\\\\text{combine like terms}\\\\=8n^3+(-10n^2+20n^2)+(-25n+12n)-15\\\\=8n^3+10n^2-13n-15[/tex]
G(x)= 3/4x+6
What is the value of g(12)?
Answers
Answer:
G(12) = 15
Step-by-step explanation:
When doing g(x) equations, all you do is substitute the value inside the parentheses to x in the equation.
So you get 3/4(12) + 6.
Then simplify to get g(12) = 15
What are the perpendicular sides???
Answers
Answer:
For triangle VZX, VZ and ZX are perpendicular to each other.
This is because, perpendicular sides intersect to make a right angle.
Hope this helps,
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Gia went to the movies with her 7-year old daughter and her 70-year-old mother. Movie tickets are half-priced for children under 12 years old, and there is a 25% discount for senior citizens. If Gia's $8.00 ticket was the regular retail price, what percent of the full retail price did Gia pay for the three tickets?
A.60% B.66.6% C.70% D.75%
Answers
Answer:
D. 75%
Step-by-step explanation:
Percent of full retail price = 8+(1/2)(8)+(3/4)(8)/24
This simplifies to 0.75, which is equivalent to 75 percent.
$24 is full retail price so by dividing the amount Gia paid by it, you can find the percent of the full retail price.
Gia paid 75% of the full retail price for the three movie tickets.
Explanation:To calculate the percent of the full retail price that Gia paid for the three tickets, we need to determine the total amount Gia paid and the full retail price for the three tickets.
Gia's $8.00 ticket is the regular retail price, so she paid the full price for her ticket. Her daughter's ticket is half-priced, which is $8.00 divided by 2, equaling $4.00. Her mother's ticket has a 25% discount, so she paid 75% of the full price, which is $8.00 multiplied by 0.75, equaling $6.00.
The total amount Gia paid is $8.00 + $4.00 + $6.00 = $18.00. The full retail price for the three tickets is $8.00 + $8.00 + $8.00 = $24.00. Therefore, Gia paid $18.00/$24.00 = 0.75, which is 75%, of the full retail price.
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Which statement describes what these four powers have in common?
Answers
Answer:
"All the powers have a value of 1 because the exponent is 0"
Step-by-step explanation:
To answer this, we need to recall the property that "ANYTHING to the power 0 is ALWAYS equal to 1" (except 0^0).
Here, we see that the base of all of the 4 choices are integers (and NOT ZERO) and all of them are raised to 0th power. So all of them are EQUAL TO 1.
Hence, the correct answer is "All the powers have a value of 1 because the exponent is 0"
Answer:
All the powers have a value of 1 because the exponent is 0
Step-by-step explanation:
A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s, before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?
Answers
Answer:
Time the stone fall in the air = 7 seconds
Time it fall in the water = 5 seconds
Step-by-step explanation:
Given in the question,
speed of stone in the air = 16 m/s
speed of stone in the water = 3m/s
The total distance from the top of the cliff to the seabed = 127 m
the total time it took to hit the seabed = 12 s
Suppose time took to hit the water = x
so the time took from top of water to seabed = 12 - x
Formula to use
distance = speed x timeTotal distance = first distance + second distance127 = 16x + 3(12-x)
127 = 16x + 36 - 3x
127 - 36 = 16x - 3x
91 = 13x
x = 91/13
x = 7 seconds
12 - x = 12 - 7 = 5 seconds
Which vertex in EFGH corresponds with the vertex B in ABCD?
HELP PLZ!!
Answers
Answer:
F
Step-by-step explanation:
Each vertex of ABCD corresponds to the vertex of EFGH in the same position.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex A corresponds to vertex E.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex B corresponds to vertex F.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex C corresponds to vertex G.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex D corresponds to vertex H.