If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Given that the radius of the circle is 5 cm and central angle is 80°.
We are required to find the area of the shaded region.
The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.
Area of circle=π[tex]r^{2}[/tex]
=3.14*25
=78.5 [tex]cm^{2}[/tex]
Area of the arc =([tex]r^{2}[/tex]Θ)/2
=(25*80π)/2*180
=(25*80*3.14)/360
=6280/360
=17.44
Area of the shaded region=78.5-17.444
=61.056
After rounding off to the nearest tenth it will be as under:
=61.06
Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
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EASY MATH PLEASE HELP! :)
I WILL GIVE BRAINLIEST!
QUESTION: Find the area!
Answer:
Total Area: 60
Step-by-step explanation:
The area of the rectangle is the easiest to find. Just multiply 12x4.
12x4=48
For the triangle. You can subtract 4 from the height of 10ft.
The height of the triangle is now 6ft.
To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.
Btw the image was really small. Kind of hard to see the numbers.
Uh... hope someone answer it hehe -,-
1-opposite angles are congruent
2-consecutive angles are supplementary
3-diagonals of a parallelogram divide the parallelogram into two congruent triangles
4-diagonals of a parallelogram bisect each other
what is the volume of a box with a length of 3 and 3/4, width of 3, and height of 3 and 1/4?
Answer:
V= 36 9/16 or (decimal form) 36.5625
Step-by-step explanation:
V=length x width x height
Ryland rolls a numbered cube that has sides labeled 1 - 6 and then flips a coin. What is the probability that he rolls an odd number and lands on tails?
1/2
1/4
3/4
1/8
Answer:
1/4
Step-by-step explanation:
Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?
The question is incomplete. The complete question is :
Two companies modeled their profits for one year.
Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.Which statement describes the relationship between the profits, predicted be the models, of the two companies?
Solution :
For one year, the two companies A and B modeled their profits.
It is given that :
Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].
But the company B uses the data in the table in order to write the linear model to represent their monthly income.
We know the linear function is given by :
[tex]$P(t)=mt+c$[/tex]
Here, m = slope of line
c = y-intercept
According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :
[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]
The point [tex](3.5)[/tex] passes through the given line.
∴ [tex]$5=5(3)+c$[/tex]
[tex]$5=15+c$[/tex]
[tex]$c=5-15$[/tex]
[tex]$c=-10$[/tex]
Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]
So, at [tex]t=4[/tex],
the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]
= 6.91
the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]
= 20 - 10
= 10
Therefore, [tex]t=4[/tex], the profit of the company B is more than the profit of company A.
Now at [tex]t=12[/tex],
Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]
= 102.05
Profit of company B is [tex]P(12)=5(12)-10[/tex]
[tex]$=66-10$[/tex]
= 56
Therefore, the profit of company A is more that that of company B at the end of the year one.
Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.
Option (B) is the correct answer.
Which of the following set of angles is possible for a triangle
Answer:
2. Isosceles
4. 25, 65, 90
Step-by-step explanation:
Isosceles triangles have two equivalent sides
All the interior angles of triangles always add up to 180 degrees
Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!!
Answer:
HCFD
Step-by-step explanation:
a² + b² = c² => a² = c² - b² => a = √(c² - b²)
=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]
A) √(5.5² - 3.5²) ≈ 4.24 => H
B) √(8.8² - 3.5²) ≈ 8.07 => C
C) √(9.3² - 3.5²) ≈ 8.62 => F
D) √(7.9² - 3.5²) ≈ 7.08 => D
Please help me with 12,13,14 please and thank you!
to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did you make in pints, cups, and ounces please help I need help this is due today please
Answer:
3.56 pints
7.125 cups
57 oz
Step-by-step explanation:
water = 1 quart = 32 oz
lemon juice = 1 pint = 16 oz
honey = 9 oz
lemonade = 32 + 16 + 9 = 57 oz
Now 16 oz = 1 pint
So, 57 oz = 3.56 pint
As, 1 cup = 8 oz
So, 57 oz = 7.125 cups
Which prism has a volume of 5 cubic units?
Answer:
Volume=length*wide*height
1st volume:1 ½*3*1=3/2×3=9/2 not equal
2nd volume: 2*2*1 ½=4*3/2=6units not equal
3rd volume: 1 ¼*4*1=5/4*4=5units equal
4th volume :2*1*2=4units not equal
third one is a required answer.
*Question Is Above*
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
n - 9.02 = 3.87
what is (n)?
Answer:
n = 12.89
Step-by-step explanation:
Add 9.02 + 3.87
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
0.002 km
200 cm
200 mm
ANSWER:
200 millimetre
====================================================
Work Shown:
1 meter = 100 cm
3 meters = 300 cm (multiply both sides by 3)
15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.
------------
Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens
20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km
It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.
------------
Let's convert to mm and see what happens
20 cm * (10 mm/1 cm) = 200 mm
Through trial and error, we arrived at the final answer.
In which class is the mean a better representation of the data, Class A or Class B? Explain your answer.
Answer:
class b
Step-by-step explanation:
because the mean and median are approximately the same
I would really appreciate the help guys!
Answer: 6
Step-by-step explanation: The answer is 6
while camping with her family, morgan took her puppy to the river. the river has a current of 27 feet per minute. The puppy paddled upstream at a rate of 44 feet per minute (in still water) for 8 minutes. How many feet did the puppy swim?
Answer: 352 feet
Step-by-step explanation: 44 X 8
Graph the circle which is centered at (-3, -2), and
which has the point (-3, -9) on it.
Answer:
(x+3)² + (y+2)² = 49
Step-by-step explanation:
To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.
First, let us write the equation of the circle
The equation is expressed as;
(x-a)² + (y-b)² = r²
(a, b) is the centre
r is the radius
r = √(-9-(-2))² +(-3-(-3))²
r = √(-9+2)² +(-3-(-3))²
r = √(-7)²
r = √47
r = 7
Get the equaton
(x-(-3))² + (y-(-2))² = 7²
(x+3)² + (y+2)² = 49
This gives the required equation
A tire has a diameter of 42 inches. How far along the ground does the tire travel if it rolls and makes 5 revolutions? Use 3.14 as an approximation for
Answer:
659.4 inches
Step-by-step explanation:
C = 2*3.14*21
C = 131.88
131.88*5 = 659.4 inches
PLEASE ANSWER CORRECTLY NO WRONG ANSWERS I BEG! 90 POINTS HERE Here is a histogram that shows some dog weights in pounds. Refer to the histogram too.
Use the histogram to answer the following questions.
How many dogs weigh at least 100 pounds?
How many dogs weigh exactly 70 pounds?
How many dogs weigh at least 120 and less than 160 pounds?
How much does the heaviest dog at the show weigh?
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
Discuss with a partner:
If you used the dot plot to answer the same five questions you just answered, how would your answers be different?
How are the histogram and the dot plot alike? How are they different?
Answer:
Exactly 22 dogs weigh at least 100 pounds
Exactly 6 dogs weigh 70 pounds
Exactly 9 dogs weigh at least 120 and less than 160 pounds
The heaviest dog at the show weighs 170 pounds
At this dog show a typical weight for a dog would be around 100 - 120
When x=8, the value of x2−7
Answer:
9
Step-by-step explanation:
Substitute 8 for x
x2-7
8*2-7
16-7
9
PLEASE HELP!!!
Two quantities are related, as shown in the table:
ху
2 10
4 9
68
8 7
Which equation best represents the relationship?
Oy = -x +11
y =
y = 2x + 10
Oy=2x + 11
Answer:
B. y= -½x + 11
Step-by-step explanation:
_______________
I need help please it would really help
Answer:
B
Step-by-step explanation:
V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi
It snows 0.7 inch on Wednesday and 0.31 inch on Thursday. Brandon draws this model to find how much more snow fell on Wednesday than on Thursday.
Answer: 0.39 inch snow fell on Wednesday than on Thursday.
Step-by-step explanation:
We are given that, It snows 0.7 inch on Wednesday and 0.31 inch on Thursday.
According to this model,
more snow fell on Wdifferenceednesday than on Thursday because 0.7 > 0.31
To compute the difference we subtract the length of snow on Thursday from length of snow on Wednesday.
Difference = 0.7-0.31
= 0.39 inch
Hence, 0.39 inch snow fell on Wednesday than on Thursday.
Solve 6 - 2x = 3
How do I do this?
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
6 - 2x = 3
(You have to subtract 6 on both sides so it can cancel out)
6 - 6 - 2x = 3 - 6
-2x = -3
(Now, you divide -2 on both sides to isolate the x)
-2/(-2)x = -3/(-2)
x = 3/2
Please help with this homework
Answer:
15
Step-by-step explanation:
miranda - 2x5=10
trudy - 5x5=25
25-10=15
for positive acute angles A and B, it is known that cos A=9/41 and tan B=21/20. Find the value of sin(A+B) in simplest form.
Answer:
Step-by-step explanation:
I attached a pic so you can see what the angles look like when you draw them out and construct right triangles out of them. We need to find the missing side lengths, ?, in each triangle. For A:
and
x = 40 For B:
and
x = 29. Now that we know all the sides of each triangle, we will use the sum identity for sin:
sin(A + B) = sinAcosB + cosAsinB. Filling in what we found in our triangles for each ratio: sin A = 40/41, sin B = 21/29, and cos B = 20/29
sin(A + B) = which simplifies to
And that's it. It doesn't simplify any further.
Paula and Karen are playing a game. Paula counts by 4s. Karen counts by 5s. They try to pace the counting so they will say the first common number together. What is the first number they both say together?
Answer:
20
Step-by-step explanation:
We are to determine the lowest common multiple of 4 and 5
the first six multiple of 4 are = 4, 8, 12, 16, 20, 24
the first six multiple of 5 are = 5, 10, 15, 20, 25
the multiple they both have in common is 20
find the area of the isosceles triangle
64 fluid ounces is the same as
Answer: 0.5 liquid gallon
Step-by-step explanation: Have a great day