Answer: 45°
Step-by-step explanation:
Diameter= 16m
Radius= 16/2 = 8m
The area of the circle= πr^2
= π8^2
= 64π square metres.
An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.
The circumference = 2πr = 16π,
This gives us an arc length of 2π metres.
But since we are looking for the the angle.
In degrees: 360/8 = 45°
The angle of the sector is 45 degrees.
To understand the calculations, check below
Sector of circle:The radius of circle is [tex]\frac{16}{2} =8cm[/tex]
The area of circle is,
[tex]Area=\pi*8^{2} \\\\Area=64 \pi[/tex]
Area of sector [tex]=8\pi[/tex]
Angle of sector,
[tex]=\frac{8\pi}{64\pi} *360\\\\=\frac{360}{8}=45 degrees[/tex]
The angle of sector is 45 degrees.
Learn more about the sector angle here:
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Hector and his classmates traveled 416 miles in 8 hours. How many miles per hour did they travel?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
you just need to divide 416 by 8
What is the correct meaning of the word commit?
Ana will commit ten hours to volunteering each week
attempt
pledge
achieve
supervise
Answer:promising
Step-by-step explanation:commit is a commitment its where you basicly kinda promise to do it and not turn your back on it
Answer:
The answer is pledge.Step-by-step explanation:
Find the distance between (0,10) and (12,1)
A. 12
B. 11
C. 15
D. 16
9514 1404 393
Answer:
C. 15
Step-by-step explanation:
The distance formula can be used for this.
d = √((x2 -x1)² +(y2 -y1)²) = √((12 -0)² +(1 -10)²) = √(144 +81) = √225
d = 15
The distance between the points is 15 units.
_____
Alternate solution
You may recognize that the slope of the line is -3/4, suggesting that this is some multiple of a 3-4-5 right triangle. That multiple is 9/3 = 12/4 = 3, so the hypotenuse of the triangle is 5×3 = 15 units.
Final answer:
The distance between the points (0,10) and (12,1) is 15 units.
Explanation:
The distance between the points (0,10) and (12,1) can be found using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given coordinates, the calculation becomes:
d = sqrt((12 - 0)^2 + (1 - 10)^2)
d = sqrt(12^2 + (-9)^2)
d = sqrt(144 + 81)
d = sqrt(225)
d = 15
Therefore, the distance between the two points is 15 units.
I NEED HELP PLEASE!!!!
Answer: the answer is 13
Step-by-step explanation:
Mean means to find the average so add them all and divide by 4.
Which equivalent four-term polynomial can be created using the X method?
x2 + 8x + 8x + 48
x2 – 12x – 4x + 48
x2 + 12x + 4x + 48
x2 – 8x – 8x + 48
Answer:
X2+ 12x+4x+48
Step-by-step explanation:
Answer:
C) x2 + 12x + 4x + 48
Find the area of the shape shown below.
Answer:
the answer to this question would be 47.5
Choose the equation that represents the solutions of 0 = 0.25x2 - 8x
0.25+ 0.25)2 – (4)(1)(-8)
2(1)
-0.25 +
0.25)2 – (4)(1)-8)
2(1)
(-8)2 – (4)(0.250
200.25)
(-8)2 – (4)(0.25)0
2(0.25)
Answer:
Step-by-step explanation:
Given that,
0 = 0.25x² - 8x
This is a quadratic equation, since it has the highest power of x to be 2.
0.25x² - 8x = 0
Simplify this by bring out x
x(0.25x - 8) = 0
So, if a × b = 0, it is either a = 0 or b = 0, if the multiplication of two number is 0, then it is either one of the number is 0 or both numbers is 0
So,
x(0.25x - 8) = 0
x = 0. OR. 0.25x - 8 = 0
x = 0. OR. 0.25x = 8
x = 0. OR. x = 8 / 0.25
x = 0. OR. x = 32.
So, the solution that describe the system is
0.25(0)² - 8(0)
OR
0.25(32²) - 8(32)
Answer:
c
Step-by-step explanation:
Help really need answer. Thanks
George is reading a book that is 420 pages long. He reads 45 pages on the first day. He will read the remaining pages in the book in 15 more days. During that time he will read an equal number of pages each day. How many pages will he read each day?
A.7
B.25
C.28
D.31
Answer:
The answer is 28
Step-by-step explanation:
28×15=420 pages
A spinner has red, green, blue and orange sections. The probability of landing on red is 2/3,on green 1/12, on blue is 1/12. What is the probability of landing on orange.
Answer: P(landing on orange)=1 - [2/3 + 1/12 + 1/12]
so =1/6
The probability of landing on orange is 1/6.
What is Probability ?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability Formula = f/n
where,
f is the number of times an event occurs
n is the total number of trials
It is given that
The probability of landing on red is 2/3, on green 1/12, on blue is 1/12.
The probability of happening a event is P , then Probability of not happening is 1-P
the probability of landing on orange
= 1- { (2/3) +(1/12)+(1/12)}
=1/6
Therefore the probability of landing on orange is 1/6.
To know more about Probability
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A bar graph titled Time Spent Practicing with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 minutes, 5 students spent 1 to 1 hours and 59 minutes, 8 students spent 2 to 2 hours and 59 minutes, 4 students spent 3 to 3 hours and 59 minutes, and 1 student spent 4 to 4 hours and 59 minutes. The histogram represents the number of hours band students practice their instruments. Use the drop-down menus to complete the statements. The bars represent . According to the histogram, students spend 3 or more hours practicing. According to the histogram, students spend fewer than 2 hours practicing.
Answer:
(a)Number of students
(b)5 Students
(c)8 Students
Step-by-step explanation:
From the supplied information
[tex]\left|\begin{array}{c|c}$Time Spent Practicing(hrs)&$Number of Students\\-------&------\\$0 to 59 minutes & 3\\$1 to 1 hours and 59 minutes&5\\$2 to 2 hours and 59 minutes&8\\$3 to 3 hours and 59 minutes&4\\$4 to 4 hours and 59 minutes&1\end{array}\right|[/tex]
(a)The bars represents the number of students who practiced for that particular duration.
(b)Students who spend 3 or more hours practicing
From the above table,
Number of students who spend 3 or more hours practicing=4+1
=5 Students
According to the histogram, 5 students spend 3 or more hours practicing.
(c)Students who spend fewer than 2 hours practicing
From the above table,
Number of students who spend fewer than 2 hours practicing=3+5
=8 Students
According to the histogram, 8 students spend fewer than 2 hours practicing.
Answer:
1. number of students
2. number 5
3. number 8
Step-by-step explanation:
hope this helps! have a good day! :)
Which expressions are equivalent to 12x - 6? Select all that apply.
6(2x-1)
-6(2x+1)
-6(2x-1)
-6x(2x-1)
6x(2-1)
Step-by-step explanation:
12x - 6
-12x - 6
-12x + 6
-12x2 + 6x
12x - 6
Option A and E are the correct answer
The only expression equivalent to 12x - 6 is 6(2x-1). Hence first option is correct.
The question asks which expressions are equivalent to 12x - 6. Let's evaluate each given option:
6(2x-1): Distributing the 6 gives 12x - 6, which is equivalent to the original expression.
-6(2x+1): Distributing the -6 gives -12x - 6, which is not equivalent to the original expression.
-6(2x-1): Distributing the -6 gives -12x + 6, which is not equivalent to the original expression.
-6x(2x-1): This expression cannot be simplified to the form of a single term in x and a constant; thus, it's not equivalent.
6x(2-1): Simplifying inside the parentheses first gives 6x, which is not equivalent to the original expression.
Therefore, the only expression equivalent to 12x - 6 is 6(2x-1).
A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}
5
2
πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the circle?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
100pi
Step-by-step explanation:
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
units^3
3
cubed
Step-by-step explanation:
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use \dfrac{22}{7}
7
22
start fraction, 22, divided by, 7, end fraction for \piπpi.
units^3
3
cubed
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts in quadrant 3 and curves up into the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.
What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers
Answer:
A = x > -2
Step-by-step explanation:
Got it right
Answer:
A = x > -2
Step-by-step explanation:
In a class of 34 students 19 of them drinks tea and 4 of them drinks coffee 3 drinks both coffee and tea .
1- Draw a Venn diagram to show this information
2- how many students do not drink coffee or tea
The answer is attached.
What’s the area of this figure?
Answer:
13 sq cm.
Step-by-step explanation:
To find the area of this irregular figure, we will need to find the areas of a rectangle and triangle within this figure.
To find the area of the rectangle, we can simply do:
1 × 4= 4 sq cm.
Now, this is where it gets a little trickier. To find the area of the triangle, we will first need to determine the base and height.
We can see from the diagram that to find the base, we need to subtract:
7-4= 3 cm. This is the base of ONLY the triangle.
To find the height, we will need to do:
5+1= 6 cm. This is the total height of the entirety of the triangle.
We can now use the Triangle Area formula: [tex]\frac{1}{2}[/tex](bh), to calculate the area of the triangle.
[tex]\frac{1}{2}[/tex] (6*3)= 9 sq cm.
Finally, add the areas of the rectangle and triangle together, giving you:
9+4= 13 sq cm.
The five posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in the center in the next largest will be on its left?
Answer:
1/20 or 0.05
Step-by-step explanation:
Assuming that all five posters are different, the number of ways to randomly place those posters is given by:
[tex]N=5*4*3*2*1 = 120\ ways[/tex]
If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:
[tex]n=3*2*1*1*1=6\ ways[/tex]
Therefore, the probability is:
[tex]P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05[/tex]
The probability is 1/20 or 0.05.
Please HURRY Explain how to use guess and check reasoning to solve
for the unknown number.
The quotient of a number and seven is nine
I
Answer:
Step-by-step explanation:
This translates immediately into n/7 = 9. We can isolate (find) n by multiplying both sides of this equation by 7, obtaining n = 63.
Or we could guess and check: if the quotient is 9, we could round that up to 10, obtaining n/7 = 10, or n = approximately 70.
Answer:
Sample Answer: Quotient means the result of division. To use guess and check to solve, you would divide different numbers by 7 until you get 9. The result is 63 ÷ 7 = 9. The quotient of sixty-three and seven is nine.
Step-by-step explanation:
My Answer: Guess and check means you guess different numbers until you get the correct answer. For example, let’s start with the number 60. You will get a decimal if you do that problem, so that’s no the answer. Then you keep guessing. The correct answer is 63. 63 divided by 7 is 9.
Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answers to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters
Answer: 821.9 cube meters
Step-by-step explanation:
Hi, to answer this question we have to calculate both rectangular prisms volume:
Volume: Length x width x height
Replacing with the values given:
Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters
Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters
Next, we have to subtract the smaller solid's volume to the large solid’s volume .
870.48-48.6 = 821.88 = 821.9 cubic meters
Feel free to ask for more if needed or if you did not understand something.
Answer:
the answer is b
Step-by-step explanation:
The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.
answer choices
7.8 lbs/ft3
21.2 lbs/ft3
28.3 lbs/ft3
7.1 lbs/ft3
Answer:
7.1 lbs / ft^3
Step-by-step explanation:
In this question, we are asked to calculate the density of the sphere in the diagram.
Firstly, to calculate the density , we apply a mathematical formula.
Mathematically, density = mass/volume
We have the mass already from the question but we will need to calculate what the volume is.
Mathematically, the volume of a sphere = 4/3 * pi * r^3
From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;
4/3 * 22/7 * 3^3
= 4/3 * 22/7 * 27
= 113.143 ft^3
Now, we substitute the volume into the density equation;
Recall, density = mass/volume
From the question, our mass is 800 lbs and from calculations, volume is 113.143 ft^3
Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3
How many meters are in 7.2 kilometers ?
Answer:
7200 meters
Step-by-step explanation:
Factor this polynomial: x^2 + 6x + 9
(x+3)(x+3)
(x-3) (x-3)
(x-3) (x+3)
(x+3) (x-3)
Answer:
(x+3)(x+3)
Step-by-step explanation:
1) this polynomial is in the form of ax^2+bx+c
c=9
b=6
a=1
what*what=c(9)
and what+what=b(6)
3 is the answer to both questions:
now substitute "3x" in place of "6"
x^2+3x+3x+9
split in 2 groups:
group a) (x^2+3x)
gcf of group a=x
x(x+3)
group b) (3x+9)
gcf of group b=3
3(x+3)
combine the numbers OUTSIDE the parantheses
so
(x+3)(x+3)
Answer:
(x+3)(x+3)
Step-by-step explanation:
Help pls???!??!?!?!!?
Answer:
height = 6 cm
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )
Here V = 100.48 and r = 4, thus
[tex]\frac{1}{3}[/tex]π × 4²h = 100.48
Multiply both sides by 3 to clear the fraction
3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )
h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm
The height of a tree increases by 60% each year. When planted the tree was 40cm tall.
How tall will the tree be in 5 years time.
Answer:
Step-by-step explanation:
divide 60% divided by 40 and then X five
I need help on this question please ^^^
Answer:
1
Step-by-step explanation:
Answer:
1. 2^7
2. 2^6
3. 2^3
4. 2^8
Step-by-step explanation:
its how exponents work
just remember that youre not multiplying 2 by the exponent (for example 2 x 7 is incorrect) youre multiplying 2x2 7 times
Please mark as brainliest :)
Do these rates form a proportion? Defend your answer.
66 songs: 6 hours
22 songs: 2 hours
Answer:
They form a proportion
Step-by-step explanation:
Take 66 songs and divide by 6 hours
66/6 = 11 songs per hour
Take 22 songs and divide by 2 hours
22/2 = 11 songs per hour
The rates are the same so they a proportional
The rates 66 songs in 6 hours and 22 songs in 2 hours do form a proportion, as both simplify to the same ratio of 11 songs per hour, indicating a consistent linear relationship between the number of songs and listening time.
Explanation:The question asks if the rates of 66 songs in 6 hours and 22 songs in 2 hours form a proportion. To determine this, we check if the ratios are equivalent. The ratio for the first rate is 66 songs per 6 hours, which simplifies to 11 songs per hour (since 66 ÷ 6 = 11). The ratio for the second rate is 22 songs per 2 hours, which simplifies to 11 songs per hour (since 22 ÷ 2 = 11). Since both rates simplify to the same unit rate of 11 songs per hour, they indeed form a proportion. This shows that the rate at which songs are experienced is consistent across both periods, essentially indicating that the number of songs listened to scales linearly with the time spent listening.
Marta wants to go to college, but she's concerned about the cost. Which option would you recommend?
A
taking out a private loan and attending a state college
B
taking out a private loan and attending a private college
C
taking out a federal loan and attending a state college
D
taking out a federal loan and attending a private college
Answer:
A
Step-by-step explanation:
The option that would be recommended is C. taking out a federal loan and attending a state college.
From the information given, it was stated that Marta wants to go to college, but she's concerned about the cost. Based on the information, it's important to choose an affordable option for her. Therefore, the best option that will be recommended will be taking out a federal loan and attending a state college since it's cheaper.Learn more about loans on:
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Porcentagem No dia 15/05/2020 as 18h e 40min o G1 divulgou que a Paraíba tem 3.739 casos confirmados e 170 mortes por coronavírus. Qual a porcentagem de mortos no Estado da Paraíba em relação a quantidade de casos confirmados ?
Answer:
The percentage of deaths in relation to the number of cases is 4.55%.
Step-by-step explanation:
The proportion of deaths is the number of deaths divided by the number of cases(Proporção de mortes é o numero de morte dividido pelo de casos).
The percentage is the proportion multiplied by 100.
In this question:
3739 cases, 170 deaths
170/3739 = 0.0455
0.0455*100 = 4.55%
The percentage of deaths in relation to the number of cases is 4.55%.
Simplify the expression. StartFraction 0.5 (negative 14 + 12.6) over 9.32 + (negative 7.92) EndFraction –0.04 –0.5 0.5 9.5
Answer:
Negative 0.5
Step-by-step explanation:
i just took the test and got the awnser right.
What is the surface area, in square centimeters, of the rectangular prism below?
Answer: A. 724
Step-by-step explanation:
there are 24 flower in a bunch 15 of the flowers are tulips, 8 of the flowers are pink, 5 of the flowers are pink tulips... draw a Venn diagram to show this information.