Answer:
40%
Step-by-step explanation:
Total hours = 50Hours spent on jogging = 20Jogging percentage =[tex]\frac{20}{50}\times 100[/tex]Jogging percentage = 40%Directions: Determine the area of the shaded region of each figure. The polygons in each problem are regular polygons. You must include your calculations.
Problem 1
Imagine placing the nonpencil part of your compass at the center of both hexagons. Extend the compass so the pencil reaches the right-most point on the larger hexagon. Then sweep a full 360 degrees to form a circle. This surrounds the larger hexagon to form what is called the circumcircle. The circumradius is 6+6 = 12 feet.
If we know the circumradius r = 12 and the number of sides n = 6, then we can find the area of the larger regular hexagon using this formula
[tex]A = 0.5n*r^2*\sin(360/n)[/tex]
Your calculator must be in degree mode. This formula only works for regular polygons.
Let's use that formula to calculate the area of the larger regular hexagon.
[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*12^2*\sin(360/6)\\\\A \approx 374.122974[/tex]
Then do the same for the smaller regular hexagon that has circumradius of r = 6 this time. We still have n = 6 sides.
[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*6^2*\sin(360/6)\\\\A \approx 93.530744[/tex]
Now subtract the areas
374.122974-93.530744 = 280.59223
The green region has an area of roughly 280.59223 square feet.=========================================================
Problem 2
The formula we use here is
[tex]A = 0.25n*s^2*\cot(180/n)[/tex]
where
n = number of sides = 5 in this case for both figuress = side length = will be different values depending on which figure you focus on"cot" refers to the cotangent function, which is the reciprocal of tangent. Your calculator should support cotangent. If not, then you'd have to do 1/tan of the value of 180/n. In this case, n = 5 so 180/n = 180/5 = 36. So you either calculate cot(36) or 1/tan(36)Your calculator must be in degree mode.This formula only works on regular polygons. These are polygons with the same side lengths and same angles.Let's use that formula to calculate the area of the larger regular pentagon. It has side lengths of s = 8
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*8^2*\cot(180/5)\\\\A = 0.25*5*8^2*\cot(36)\\\\A = 0.25*5*8^2*\frac{1}{\tan(36)}\\\\A \approx 110.110554\\\\[/tex]
The larger regular pentagon has area of roughly 110.110554 square cm.
Repeat those steps for the smaller pentagon where each side is now s = 6. Keep n = 5 the same.
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*6^2*\cot(180/5)\\\\A = 0.25*5*6^2*\cot(36)\\\\A = 0.25*5*6^2*\frac{1}{\tan(36)}\\\\A \approx 61.937186\\\\[/tex]
Now subtract the two areas to get the area of the shaded green region.
110.110554 - 61.937186 = 48.173368
The green region has area of roughly 48.173368 square cm.A swimsuit has been marked down from an original price of $75 to $56.25. By
what percent of the original price has the suit been marked down?
2x-y=2 4x+y=4 express each solution as an ordered pair
Answer: 2x-y=2= y=−2x+2
4x+y=4= y=-4x+4
Step-by-step explanation:
Answer: if you Solve by Substitution you get (point form: (1, 0)
(equation form: x = 1, y = 0)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Solve for x:
y = −4x + 4
y = 2x − 2
please help me..............asap
Describe the transformations necessary to transform the graph of f(x) into that of g(x).
Using translation concepts, it is found that the transformations necessary to transform the graph of f(x) into that of g(x) are given as follows:
Reflection over the y-axis. Horizontal stretch by a factor of 2.Shift left 3 units.Reflection over the x-axis.Shift down 1 unit.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The original function f(x) is given by:
[tex]f(x) = \sqrt{x}[/tex]
The transformations are as follows:
Inside the domain, the function was multiplied by -1/2 and 3 was added. Hence the function was reflected over the y-axis, horizontally stretched by a factor of 2 and shifted left 3 units.Outside the domain, in the range, the function was multiplied by -1 and 1 was subtracted, hence the function was reflected over the x-axis and shifted down one unit.More can be learned about translation concepts at https://brainly.com/question/4521517
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Jesse's mother needs 24 feet of fabric to make curtains for all of her windows. The fabric is sold by the yard. How many yards of fabric does Jesse's mother need to buy? A 3 yards B 8 yards c 12 yards D 15 yards
Pls correct answers.
Answer:
B: 8 yards
Step-by-step explanation:
3: feet in one yard
3/24=8
Please help with the thing i did not fill out yet! Khan course challenge
Answer:
the first blank is 120 then the second blank is 180
Step-by-step explanation:
For you to get those answers you can subtract 60 from 240 which gets you 180, then you subtract 60 again to get you 120, then again you will subtract 60 again and you will get 60.
round 7874 to 1 significant figure
7874
to find:7874 rounded to 1 sf
solution:if the previous digit is 5 or more round up, if not keep it as it is.
1 sf= 8000
therefore, 7874 rounded to 1 sf is 8000.
Answer:
8000
Step-by-step explanation:
Since the leftmost 7 is in the thousands place, you need to round the number to the nearest thousand. The digit to the right of the first 7 is an 8, so 7 goes up 1 to 8.
Answer: 8000
Use the zero product property to find the solutions to the equation x2 + x - 30 = 12
O x=-7 or x=6
Ox=-7 or x= -6
O x=-6 or x=7
O x= 6 or x=7
aub,
Given that
is it ever possible to have
Sa+b=ſa+b?
Explain.
Answer:
Yes it is possible
Step-by-step explanation:
How do you find Sin A + B?Now, put it all together (9). Sin (A + B) is the two parts of the opposite - all divided by the hypotenuse (9). Putting that into its trig form: A very similar construction finds the formula for the cosine of an angle made with two angles added together.
can i have some help with this question
Answer:25
Step-by-step explanation:
f(x) = x² - 5x + 1f(-3) = (-3)² - 5(-3) + 1f(-3) = 25
The slope of the line containing the points (-2, 3) and (-3,1) is
a.02 b.1/2 c.0 -2/5
Step-by-step explanation:
the slope is always the ratio "y coordinate change / x coordinate change" when going from one point of the line to another.
so, when going from (-2, 3) to (-3, 1)
x changes by -1 (from -2 to -3).
y changes by -2 (from 3 to 1).
therefore, the slope is
-2/-1 = 2/1 = 2
Which Fractions have a Least Common Denominator of 45
A) 2/3, 1/6, 1/5
B) 2/3, 1/9, 1/15
C)2/3, 1/5, 1/3
D) 2/27, 1/7, 1/3
==========================================================
Reason:
For choice A, the LCD is 30 since
2/3 = 20/301/6 = 5/301/5 = 6/30We get 30 from the fact that 5*6 = 30. Notice 2/3 and 1/6 already have the LCD of 6. We could rewrite the 2/3 into 4/6 to help show this better. Effectively we want to find the LCD of 4/6, 1/6, 1/5
Cross choice A off the list because we want an LCD of 45 instead of 30.
--------------------
Choice B is the answer because
2/3 = 30/451/9 = 5/451/15 = 3/45What we can do is find the LCD of 2/3 and 1/9 to get 9. The 2/3 turns into 6/9. This means we need to find the LCD of 6/9, 1/9, and 1/15
Multiply the two unique denominators to get 9*15 = 135, then divide by the GCF 3 to get 135/3 = 45.
Recall that LCD(x,y) = (x*y)/GCF(x,y)
--------------------
We can stop here since we know choice B is the answer.
But if you wanted to continue, then the LCD of 2/3, 1/5 and 1/3 is 3*5 = 15. This rules out choice C.
Choice D can be ruled out because the LCD is 27*7 = 189.
can someone help this for me
Answer:
141°
Step-by-step explanation:
An octagon has 8 sides and 8angles so the sum of its interior angles is: (8-2)×180= 1080°
5x+133+16+126+162-12+30=1080°
5x=625
x=125°
x+16=141°
DUE IN 20 MINS !!!!!!!!!!!!!!!
Answer:
Random, because he surveyed 30 random shoppers
Please help me asap I have attached a screenshot ( with explanation)
Answer:
306 m
Step-by-step explanation:
distance between her house and the third point:
280 - 10 = 270 m
distance between the third point and the beach:
164 - 20 = 144 m
We have a right triangle ,then we can apply the Pythagorean theorem:
[tex]\text{the distance between her house and the beach} =\sqrt{\left( 270\right)^{2} +\left( 144\right)^{2} } = 306\ m[/tex]
Helppppppppppppppppppp
Answer:
X=Y since x and y are alternating angles
A cone has base radius 9 cm and height 28cm find it's volume
(19−7)^( (2) ) −8*3+4*3−5
Answer:
127
Please vote me Brailiest. Thank You.
• How can you check whether a point is the solution to a system?
Answer:
In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically
Step-by-step explanation:
what additional information do you need to prove ABC congruent DEF by the SAS postulate
Answer:
C , third choice
Step-by-step explanation:
SAS
Side AE Congruent to Side EC simple as that
Hope it helped ! Mark me as Brainliest pls !
Answer answer please please
Answer: The answer is the first choice ( >)
Step-by-step explanation: 4.3 × 10⁶ = 4300000 . 12.1 × 10⁵ = 1210000 . So 4300000 is greater than 1210000 . HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST . THANKS .
solve the value of s (4s+8)54
Answer:
2
Step-by-step explanation:
Part C
What is the area of the whole target?
Select the correct answer.
A) 38
B) 144
C) 361
D) 400
Answer:
see the attachment photo.
Answer:
I believe it would be Option A) 38
One angle of an isosceles triangle measures 80°. What measures are possible for the other two angles?
Answer:
80 degrees and 20 degrees.
Step-by-step explanation:
Isosceles means two angles are the same. If one angle is 80 degrees that means another angle is 80 degrees. The sum of all angles is 180 degrees. 80 degrees + 80 degrees = 160 degrees. After you do that you subtract 160 from 180 to get 20 degrees.
A cylinder has a height of 9 yards and a radius of 8 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1808.64yarde cubed
Step-by-step explanation:
cylinder = 9(3.14(8^2))
9(3.14(64)) = 1808.64
i don’t understand this i need help
Answers:
18-5-114822-2517-12If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!
If (x+42)+3x = 90 what is x
Answer:
X=12
Step-by-step explanation:
First, take the term out parenthesis being careful to manage the sign of individual term carefully :
x+42+3x=90
Next , subtract 42 from each side of the equation to isolate the x term while keeping equation balance :
x+42-42+3x=90-42
x+0+3x=48
x+3x=48
(1+3)x=48
4x=48
Now, Divide both side of equations by 4 to slove of x while keeping equation balance :
4x/4=48/4
x=12
Here,
(12+42)+3*12=90
54+36
90
-1-3(-9)+(-5) evaluate
Answer:
21
Step-by-step explanation:
The first thing we do is multiply -3 by -9 to get 27. (Two negatives multiplied cancels each other out). Now we solve for -1+27-5. The resulting answer is 21.
A factorial design has ____________________________________________________________. a. two or more dependent variables. b. two or more independent variables. c. one independent variable and one dependent variable. d. one independent variable and two or more dependent variables.
Answer:
b. 2 or more independent variables
Step-by-step explanation:
factorial designs give an opportunity to figure out what factorial design affect dependent variables.