Answers
let's start with the triangle, since that seems very obvious per se, the triangle has a base of 20 and a height of 14.
[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b= base\\ h= height\\[-0.5em] \hrulefill\\ b=20\\ h=14 \end{cases}\implies A=\cfrac{1}{2}(20)(14)\implies A=140[/tex]
now let's do the sector.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =45 \end{cases}\implies \begin{array}{llll} A=\cfrac{(45)\pi (20)^2}{360} \\\\\\ A=50\pi \implies A\approx 157.08 \end{array}[/tex]
now let's do the segment.
[tex]\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( \cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =45 \end{cases} \\\\\\ A=\cfrac{20^2}{2}\left( \cfrac{\pi (45)}{180}~~ - ~~sin(45^o) \right)\implies A=200\left(\cfrac{\pi }{4}~~ - ~~\cfrac{1}{\sqrt{2}} \right) \\\\\\ A=50\pi - 100\sqrt{2}\implies A\approx 15.66[/tex]
Related Questions
Which transformation would take Figure A to Figure B?
Answers
Answer:
a counterclockwise rotation of 270 around the origin
Perimeter of a rectangle is 30m. Its length is 10. Find its breadth
Answers
is that what u we’re looking for?
Can someone help asap
Answers
Answer:
37.2m^3
Step-by-step explanation:
Given: The dimension of a cuboid
[tex]l(length)=6.2m\\w(width)=2.4m\\h(height)=2.5m[/tex]
To Determine: The volume of the container
The volume of a cuboid is calculated by the formula below:
[tex]V cuboid=lxwxh[/tex]
Substitute into the formula the given dimensions
[tex]V container=6.2m x2.4mx2.5m\\V container=37.2m^{3}[/tex]
Hence, the volume of the container is 37.2m^3
if you help me i give 100 pts
Which problems can be solved by performing this multiplication?
1/5×30
Select each correct answer.
There were 30 people in a room. One-fifth of the people had blue eyes. How many people had blue eyes?
Evan's mother drove 30 miles on Wednesday and another 15 mile on Wednesday. How many miles did she drive in all?
Jada had 30 crayons. She lost 15 of the crayons. How many crayons does she have left?
Amelie read 30 pages of a book. She read 15 of the pages on Monday. How many pages did she read on Monday?
Answers
Answer:
ANSWER:
450
6 of them had Blue eyes
Evan's mother drove 45 miles in total.
Jada had 15 crayons left
Amelie read 15 pages on monday.
Step-by-step explanation:
first one
Total people=30Blue eyed=1/5thTotal blue eyed:-
1/5(30)6Use the following figure to answer the question.
1 and 5 are _____ angles.
corresponding
vertical
alternate interior
right
Answers
Answer:
corresponding
Step-by-step explanation:
The answer is corresponding if you want i can share my work.
N
190
What is the measurement of N?
Answers
Sam bought 3 1/4 lb of apples
to make some apple pies.
What is the weight of the
apples written as a decimal?
Answers
Answer:
3.25
Step-by-step explanation:
Which of the following is another way to represent 5 2/ 6?
6 8/6
4 8/6
4 12/6
5 6/8
Answers
4 8/6 simplifies to 5 2/6.
Answer:
4 8/6
Step-by-step explanation:
That should be your answer
Find the value of x in each figure
Answers
Which linear inequality is represented by this graph? PLEASE ANWSER QUICKLY!!!
Answers
Answer:
B
Step-by-step explanation:
One grain of sand weighs 0.00007g.
How many grains of sand are there in 6300kg if sand?
Answers
Answer:
= 90,000,000,000
Step-by-step explanation:
g --> kg
0.00007g --> 7 x 10^-8
6300kg / 7 x 10^-8
Blank - 11.337=67.405 whats blank
Answers
Answer:
78.742
Step-by-step explanation:
add 67.405 and 11.337
Answer:
78.742
Step-by-step explanation:
7 8 .7 4 2
_ 1 1 .3 3 7
_________
6 7 .4 0 5
As you see 2 can't - 7 so 4 gives it + 1 turning into 12 and 12 - 7=5
And then you know the rest>
Hope it helps have a great afternoon:)
Answer the following questions about the given exponential equation:
A = 1000(0.98)4
This equation represents decay by a rate of what%
The starting amount is what
in this equation
The time value in this equation is what
Answers
The equation represents decay by a rate of 2%
The starting amount is 1000 in this equation
The time value in this equation is 4
Hope that helps!
a truck loaded with 2.7 tons of sand weighs 5 tons. write and solve an equation to find the weight of the empty truck
Answers
5-2.7=2.3
The empty truck weighs 2.3 tons
Please help with math question ty.
Answers
Answer:
r=3/4
Step-by-step explanation:
(135/2) / 90 = 0.75
(405/8) / (135/2) = 0.75
0.75 = 3/4
I need help with this question
Answers
Answer:
lets take 2 point two get slope
(0.3)A
(21.0)B
slope = <y2 -y1>/<x2-x1>
equal -1/7
equation of straight
y=mx +c
m is the slope
y= -1/7 x +c
take a point to get c
3=m *0 +c
c= 3
y= -1/7 x + 3
Step-by-step explanation:
multiple equation by 7
7y =-x +21
7y = -x + 221
solve:(6 2/5+1 4/5)+315
Answers
=) (32/5 + 9/5) + 315
=) 41/5 + 315
=) (41+1575)/315
=) 1616/315
=) 5.13
Answer:
323 1/5
Step-by-step explanation:
1) Convert mixed numbers into improper fractions
6 2/5 = 32/5
1 4/5 = 9/5
2) Calculate within parentheses
32/5 +9/5 = 41/5
3) Add and subtract (left to right)
41/5 + 315 = 1616/5
4) Convert improper fraction into mixed number
1616/5 = 323 1/5
Talia says a pitcher has a liquid volume of 2 gallons. Eric
says the same pitcher has a liquid volume of 2 quarts. Can
they both be right? Explain.
Answers
1 gallon is 4 quarts. So they CANNOT both be right because gallons and quarts ARE NOT equal.
Hi do you guys know what 42.7 x 10^3 is? i js want to comfirm my answer. please answer quickly if you know.
Answers
Answer:
[tex]42,700[/tex]
Step-by-step explanation:
[tex]42.7 * 10^3[/tex]
[tex]42.7 * (10*10*10)[/tex]
[tex]42.7 * 1000[/tex]
[tex]42,700[/tex]
Hope this helps!
Rhea sold 6 boxes of blueberry muffins and 8 boxes of corn muffins at the bake sale. Each box contained 18 muffins. The muffins cost $0.50 each. What is the total amount raised by the sale of the muffins?
Please help me (and thanks if you are, I very much appreciate it :))
Answers
Answer:
$126.00
Step-by-step explanation:
1 you Multiply .50×18=9
so the ratio is 9 per box
you add 6+8=14 and then 14×9=126
First, you want to add together how many boxes of muffins she sold (8+6= 14)
Then, you need to multiply the amount of boxes by how many muffins are in each box (18*14 = 252)
Lastly, you multiply the amount of muffins sold by how much each muffin cost (252*0.50 = 126)
And that’s how you get $126.00.
Leon has a bag of 4 red balls, 3 green balls and 6 yellow balls. He takes a ball out and replaces it 50 times. Out of those 50 trials he pulls out a green ball 12 times. What is the experimental probability of getting a green ball on his next trial?.
Answers
The experimental probability of getting a green ball on the next trial of the Leon is 6/25.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
Experimental probability of an event is the ratio of number of time a particular event occur to the total number of trials.
Leon has a bag of 4 red balls, 3 green balls and 6 yellow balls. He takes a ball out and replaces it 50 times. Out of those 50 trials he pulls out a green ball 12 times.
Here, the number of green ball pulls out is 12 times and the total number of times trials is 50. Thus the experimental probability of getting a green ball is,
[tex]P=\dfrac{12}{50}\\P=\dfrac{6}{25}[/tex]
Thus, the experimental probability of getting a green ball on the next trial of the Leon is 6/25.
Learn more about the probability here;
https://brainly.com/question/24756209
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points. He wants to know how many gold coins he needs to find.
Let b be the number of boxes of crayons Ms. Cohen buys. Write an inequality that represents the situation
what is the expression for this problem??
Answers
Answer:
8.
Step-by-step explanation:
The ratio or fraction for this problem would be 1 (gold coin) : 25 (points)
If we want to find out how many gold coins he needs to get 200 points we need to divide 200 by 25.
200/25 : 8
if we want to check our answer do this
1:25
1 x 8 is 8
25 x 8 is 200
Soo... Collin needs to find 8 coins to win 200 points.
Hope I was hopeful! <3
PLEASE HELP
Use the Desmos graphing calculator to generate the least-squares regression line and statistics for the data in the table. What is the residual value for x = 18?
x y
2 3
4 9
11 12
15 17
18 16
25 22
0.4216
negative 0.4216
negative 1.2389
2.5784
Answers
Answer:
m=0.7404, b=3.9117m=0.7404,b=3.9117
y=0.7404x+3.9117y=0.7404x+3.9117
x=18x=18
y=0.7404(18)+3.9117=17.2389y=0.7404(18)+3.9117=17.2389
Residual
16-17.2389= -1.238916−17.2389=−1.2389
-
The residual value for x = 18 is,
⇒ 16 - 17.24
⇒ - 1.24
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Now, We know that;
Equation is,
y = bx + a
Where,
b = (xy) - (x) (y) / x² - y²
Here, We have;
x = 12.5
y = 13.17
(xy) = 211.17
Hence, We get;
b = (211.17 - 164.625) / (219.17 - 156.25)
b = 0.74
So, We get;
y = bx + a
13.17 = 0.74 × 12.5 + a
a = 3.92
So,
y = 0.74x + 3.92
y = 0.74 × 18 + 3.92
y = 17.24
Thus, the residual value for x = 18 is,
⇒ 16 - 17.24
⇒ - 1.24
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ2
Find the LCM of each set of numbers
15,25,75
Answers
Answer:
600
Step-by-step explanation:
The common multiples from the multiples of 15, 25, 40, and 75 are 600 and 1200, but the smallest common multiple of 15, 25, 40, and 75 is 600.
What is the y-intercept of the line that is perpendicular to x-8y = 16 and passes through the
point (2,-2)?
Answers
The equation of the line perpendicular to x-8y = 16 and passes through the point (2,-2) is y = -8x + 14.
Linear equationA linear equation is in the form:
y = mx + b
where m is the rate of change (slope) and b is the y intercept.
Given the line is x - 8y = 16:
8y = x - 16
y = x/8 - 2
The slope of the line is 1/8, the slope of the line perpendicular is -8. Hence, since it passes through (2 -2):
y - (-2) = -8(x - 2)
y = -8x + 14
The equation of the line perpendicular to x-8y = 16 and passes through the point (2,-2) is y = -8x + 14.
Find out more on Linear equation at: https://brainly.com/question/14323743
Given the circle below with secants BCD and FED, find the length of BC.
Round to the nearest tenth if necessary.
Answers
If the circle below with secants BCD and FED then length of BC is 7.3cm
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Let BC = x cm
BD=x+6
FD=11+5
From power of a point to circle
BD.CD=DF.ED
(x+6)6=16×5
6x+36=80
Subtract 36 from both sides
6x=80-36
6x=44
Divide both sides by 6
x=7.3
Hence, if the circle below with secants BCD and FED then length of BC is 7.3cm
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
g(x)=-1/2xto the second - 4
Answers
Answer:
-6
Step-by-step explanation:
easy
Answer:
-6
Step-by-step explanation:
Help! Pls answer this ASAP!!!
Answers
Answer:
The endpoints for the original segment is
Top: (5,6)
Bottom (5,2)
The endpoints for the dilated segment is
Top: (5/3,2)
Bottom (5/3,2/3)
Step-by-step explanation:
Since the dilation scale is 3 just divide each coordinate value by 3.
You get 15 points if you help me with this pls
Answers
Answer:
[tex]a=2;b=5;c=-20[/tex]
Step-by-step explanation:
Given:
Number tree is given.
Given hint: To get a number in the square multiply the numbers in the two circles connected to it.
[tex]a*(-4)=-8\\a=-\frac{8}{-4} \\a=2[/tex]
[tex]a*b=10\\2*b=10\\b=\frac{10}{2} \\b=5[/tex]
[tex]b*(-4)=c\\5*(-4)=c\\c=-20[/tex]
Therefore, final answers are:
[tex]a=2;b=5;c=-20[/tex]
Evaluate the following expressions if a = 2, b = 3, x = 4, and y = 5.
y+ab/6b+x
Answers
Answer:
0.5
Step-by-step explanation:
5+a•b, 2•3 is 6, +5 is 11.
4+6•b, 6•3 is 18, +4 is 22.
I'm using PEMDAS/GEMDAS, which means I did multiplication first.
I'm assuming the / means to divide, so 11/22 is 0.5
