1. Find the area of the composite figure to the nearest hundredth.
2. Find the area of the shaded region to the nearest tenth.
Answers
Answer:
#1: 751.56 mm²
#2: 477 km²
Step-by-step explanation:
First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).
1/2(3.14 * (12.5)²)
12.5 squared is 156.25.
1/2(3.14 * 156.25)
Multiply 3.14 by 156.25 to get 490.625.
1/2(490.625)
Divide 490.625 by 2 to get 245.3125.
245.3125 mm² for the semicircle
Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.
(12.5 * 25) + 1/2(31 * 12.5)
Multiply 12.5 by 25 to get 312.5.
312.5 + 1/2(31 * 12.5)
Multiply 31 by 12.5 to get 387.5.
312.5 + 1/2(387.5)
Multiply 1/2 by 387.5 to get 193.75
312.5 + 193.75
Add 312.5 and 193.75 to get 506.25.
506.25 mm² for the rest of the figure.
Now add the two measures, and you have your answer for #1.
245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².
The area of the composite figure is 751.56 mm².
Now for #2. First, find the area of the triangle.
1/2(40 * 27)
Multiply 40 by 27 to get 1080.
1/2(1080)
Multiply 1/2 by 1080.
590 km² for the triangle.
Now find the area of the circle.
3.14 * 6²
3.14 * 36
113.04 km² for the circle.
Now subtract the area of the circle from the area of the triangle.
590 - 113.04
476.96 km², which rounds to 477.0 km².
The area of the shaded region is 477 km².
Answer:
1. 745.31 mm²2. 426.96 km²Step-by-step explanation:
#1
We can separate the figure into 3 parts and sum the areas.
Semicircle with radius 12.5 mm:
A = 1/2(πr²) = 1/2(3.14*12.5²) = 245.31 mm²Rectangle with sides 12.5 mm and its double size:
A = 12.5*(2*12.5) = 312.5 mm²Triangle with height 12.5 mm and base 30 mm:
A = 1/2*(55 - 2*12.5)*12.5 = 187.5 mm²Sum of the three:
245.31 + 312.5 + 187.5 = 745.31 mm²#2
The shaded region is the difference of the areas of the triangle and the circle
Triangle:
A = 1/2*27*40 = 540 km²Circle:
A = πr² = πd²/4 = 3.14*12²/4 = 113.04 km²Shaded region:
540 - 113.04 = 426.96 km²Related Questions
The parabola is swached vertically by a factor of 5.
Answers
Answer:
answer below
Step-by-step explanation:
I think you mean "squashed" or "stretched" vertically by a factor of 5.
f(x) is the original parabola equation
g(x) = 5f(x) is vertically stretched by a factor of 5
(x,y) -> (x , 5y)
Write a congruence statement for the pair of triangles. Name the postulate it theorem that justifies your statement.
Answers
Answer:
B
Step-by-step explanation:
1) Find the missing side.
Answers
Answer:
25inch
Step-by-step explanation:
Ok so there is something called a Pythagorean theorem.
It's a²+b²=c²
It works on right triangles
C is the longest side or the side not touching the right angle
and a and b is the other 2 sides
so the missing side is 24²+7²=Missing side or c²
24²=576 and 7²= 49
576+49=625
[tex]\sqrt{625}[/tex]=25
in a random School sampling of 50 middle school students it was found that 18 students bring their lunch to school everyday if there are 942 students in the school predict how many bring their lunch to school each day
Answers
Answer:
340
Step-by-step explanation:
We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.
0.36*942= 339.12 which we can round to 340
Tressa is traveling by boat from Texas to Florida and she creates a function f(t)= 20t + 15 to show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed. Which of the following represents the distance the boat has traveled from its original position? please I need help with this
Answers
Answer:
20t
Step-by-step explanation:
15 is where the boat started so 20t is how much the boat traveled from the origional position of 15
The 20t distance the boat has traveled from its original position.
Given that,
She creates a function f(t)= 20t + 15,
To show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed.
We have to determine,
Which of the following represents the distance the boat has traveled from its original position.
According to the question,
She creates a function f(t)= 20t + 15 .
To show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed.
Then,
Her mom’s house in Texas after (t) hours have passed.
The 15 is where the boat started
And 20t is the boat traveled from the original position of 15.
Hence, The 20t distance the boat has traveled from its original position.
To know more about Motion click the link given below.
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There about fifteen hundred players in the nfl in a survey of a random sample of 50 players three players were hurt how many players in the nfl would be excpected to get hurt
Answers
Answer: 90 players.
Step-by-step explanation:
Since we are informed that in a survey of a random sample of 50 players, 3 players were hurt. This gives a fraction of 3/50 for those that are hurt.
Therefore, in a survey of 1500 players, the number of players expected to be hurt will be:
= 3/50 × 1500
= 90
Simplify: (6 + 2iX6 - 21)
Answers
If simplify it would be -15 + 12i
Answer:
If the X in the middle is shown as multiplication, then the answer is -15 + 12i
EQUATION: (6 + 2iX6 - 21)
STEP 1:
SPLIT UP THE COMMON FACTORS
a. 6 - 21 b. (2i X 6)STEP 2:
SOLVE AS SHOWN
a. 6 - 21 = -15 b. 12iSTEP 3:
ADD EVERYTHING TOGETHER
= -15 + 12iThe length of a rectangle is 7 cm longer than it's width, x cm. So, write down an equation in term of x, for the length of this rectangle
Answers
Answer:
Length = (7 + x)
Step-by-step explanation:
In this question we have to convert the verbal expression to algebraic expression.
Let the width of the rectangle = x cm
"Length of the rectangle is 7 cm longer than it's width"
Length = 7 + Width
Length = (7 + x) cm
Therefore, equation for which length of the rectangle is defined will be,
Length = (7 + x)
find the area of the figure. use 3.14 for pi
Answers
Answer:
100
Step-by-step explanation:
14-12=2
10-6=4
4x2=8
divid it by 2 cos itza triangl
8/2=4
the smallr square
4x4=16
biggr square
10x8=80
4+16+80=100
Answer:
answer =100 ft²
Step-by-step explanation:
......hope it helps
Which algebraic expression is equivalent to the expression below? 6x+15y A. 3(2x - 5y) B. 3(5x - 2y) C. 3(2x + 5y) D. 3(5x + 2y)
Answers
Answer:
C. 3(2x + 5y) is the algebraic expression equivalent to the expression
Step-by-step explanation:
From the question, the given expression is 6x + 15y.
Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).
Checking the remaining options
A. 3(2x - 5y)
Expanding this gives 6x - 15y. It is not equivalent to the given expression
B. 3(5x - 2y)
Expanding this gives 15x - 6y. It is not equivalent to the given expression
D. 3(5x + 2y)
Expanding this gives 15x + 3y. It is not equivalent to the given expression.
Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.
Can anyone tell me part B? What’s the 6th term!? Will mark brainliest!
Answers
Answer:
part b I'm pretty sure is 125, not 100 percent but I think so.
You have $39 in cash, composed of the largest bills possible. What is the probability that a randomly chosen bill from the $39 will not be a $1 bill?
a. 4/7
b. 1/2
c. 3/7
d. 4/8
Answers
Answer:
c) 3/7
Step-by-step explanation:
there are a total of 7 bills:
1 - $20
1 - $10
1 - $50
4- $1
P(not $1) = 3/7
the universal set = {-4, -3, -2, -1, 0 , 1, 2, 3, 4} and A = {0}. what is the complement of A?
Answers
The complement of a set are the set of elements in the universal set but not in the original set. The complement of set A is: [tex]A' = \{-4, -3, -2, -1, 1, 2, 3, 4\}[/tex]
Given that:
[tex]A =\{0\}[/tex]
[tex]U = \{-4, -3, -2, -1, 0 , 1, 2, 3, 4\}[/tex]
The complement of set A are the set of elements in the universal set but that are not in set A.
So, the complement of set A is:
[tex]A' = \{-4, -3, -2, -1, 1, 2, 3, 4\}[/tex]
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Please help me asap!! Im in a rush
Answers
Answer:
its c
Step-by-step explanation:
just bc
solve the system below.
options:
a. (1,-4)
b. (-4,1)
c. (-1,5)
d. (-1,4)
Answers
Answer:
1 and - 4is the correct answer
the exact volume is what?
Answers
Answer:
7680πyd³
Step-by-step explanation:
The formula to calculate the volume of the cylinder is πr² h
Here radius (r) = 16 yd
height (h) = 30 yd
Now
the volume is
= πr²h
= 16² * 30 * π
= 7680 π yd³
Hope it will help :)❤
The library had 202 shelves of books. Each shelf had 14 books. Librarians checked out 907 books to students. How many books does the library have remaining? PLZ WORTH 25 POINTS
Answers
Answer:
1921 books remaining.
Step-by-step explanation:
This library is fairly organized, so each shelf only has 14 books. Now with 202 shelves, we multiple the shelves by the amount of books per shelf.
202x14=2,828
Now, with 2828 books in the library before being checked out, we need to find out how many books left after the students came.
2828-907=1,921
The answer is 1,921 books remaining.
Hope this helps!
If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2, what is the value of a?
Answers
Answer:
[tex]a=\dfrac{4x-7}{x}[/tex]
Step-by-step explanation:
The equations of lines are :
y=4x-5 and y=ax+2
From above equations,
4x-5 = ax+2
4x-ax = 5+2
4x-7 = ax
[tex]a=\dfrac{4x-7}{x}[/tex]
So, the value of a is equal to [tex]\dfrac{4x-7}{x}[/tex].
Help me please
Data Gathering techniques?????
A student council wants to know whether students would like the council to sponsor a mid-winter dance or a mid-winter carnival this year, Classify each sampling method and explain your classification. .
Answers
what are the coordinates of point B on AC such that the ratio of AB to BC is 2:3
Answers
The coordinates of point B on segment AC such that the ratio of AB to BC is 2 : 3 is (12 / 5, 38 / 5).
What are the coordinates of a point within a line segment?
In this problem we must use the concept of segment ratios and linear algebra operations to determine the location of a point within a line segment generated by two distinct points:
B(x, y) = A(x, y) + (AB / AC) · [C(x, y) - A(x, y)]
B(x, y) = (0, 4) + (2 / 5) · [(6, 13) - (0, 4)]
B(x, y) = (0, 4) + (2 / 5) · (6, 9)
B(x, y) = (0, 4) + (12 / 5, 18 / 5)
B(x, y) = (12 / 5, 38 / 5)
The coordinates of point B on segment AC such that the ratio of AB to BC is 2 : 3 is (12 / 5, 38 / 5).
RemarkThe statement is incomplete, complete form is shown below:
Given that A (x, y) = (0, 4) and C (x, y) = (6, 13). What are the coordinates of point B on AC such that the ratio of AB to BC is 2 : 3.
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aluminum production from bauxite ore costs $2000 per ton, whereas aluminum recycling costs $800 per ton. what is the percent saved by recycling?
Answers
Answer: 40%
Step-by-step explanation: $2000
If you turn the 2000 into 20 (for now) and the 800 into 8, then the 20 into 10, and the 8 into 4, then 4 out of 10 equals 40%.
Convert the angle 5.5 radians to degrees, rounding to the nearest 10th.
Answers
Answer:
315.1*
Step-by-step explanation:
The value of 5.5 radians into degree is 315⁰.
What is radians?
The radian, denoted by the symbol rad, is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics.
Conversion of radian to degree = radian X 180⁰/π
Now,
Degree = 5.5 X 180⁰ X 7/22
= 6930/22
= 315⁰
Thus, the value of 5.5 radians into degree is 315⁰.
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help if correct will give brainiest
Answers
Answer:
x
Step-by-step explanation:
Answer:
the answer is Z all you have to do is move it left 4 times and then up 6 times
Determine the equation of the circle graphed below.
Answers
Answer:
(x + 5)² + (y - 1)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 1) and r = 2, then
(x - (- 5))² + (y - 1)² = 2² , that is
(x + 5)² + (y - 1)² = 4
Answer:
Step-by-step explanation:
hello :
hello:
note : an equatin for the circle is : (x-a)²+(y-b)²=r²
when the center is the point : C(a , b) and the radius r
use this graph : given two points in this circle A(-3,1) and B(-7,1)
1) AB/2 = r = 4/2 = 2
2) the midipoint for the segment AB is the center C
a = (-3-7)/2 and b = (1+1)/2
a= -5 and b= 1 so : C(-5 , 1)
an equation is : (x+5)²+(y-1)²=2²
John went out to eat with his family. The bill was $84. His mom wants to
leave a 20% tip. What is the total his mom has to pay the restaurant?
Explain how you found your answer.
Answers
16.8
Step-by-step explanation:
multiply the normal price $84 by 20 then divide it by one hundred. So, the discount is equal to $16.8
Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weigh 48 pounds. Three boxes of gaming machines and five boxes of DVDs weigh 72 pounds. How much does each box weigh?
Answers
Answer:
The weight of each gaming machine be 14 pounds and that of DVD is 6 pounds.
Step-by-step explanation:
Let the weight of the gaming machine be x and that of DVD be y. ATQ,
3x+y = 48 .....(1)
3x+5y = 72 .....(2)
Subtract equation (2) from (1)
3x+y-(3x+5y) = 48 -72
y-5y = -24
-4y = -24
y = 6
Put the value of y in equation (1).
3x+6 = 48
3x = 42
x = 14
So, the weight of each gaming machine be 14 pounds and that of DVD is 6 pounds.
Answer:
DVD box weighs 6 pounds and gaming machine box weighs 14 pounds
Step-by-step explanation:
i got the answer correct on my assignment
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
az = 2 and r = 3
Answers
Answer:
a₅ = 162Step-by-step explanation:
The nth term in the geometric sequence: [tex]a_n=a_1\cdt r^{n-1}[/tex]
a₁ = 2 and r = 3
So:
[tex]a_5=a_1\cdot r^4=2\cdot3^4 = 2\cdot81=162[/tex]
3) Bella recorded data and used her graphing calculator to find the equation for
the line of best fit. She then used the correlation coefficient to determine the
strength of the linear fit. Which correlation coefficient represents the strongest
linear relationship?
-0.9
0.3
-0.5
0.8
Answers
Answer:
-0.9
Step-by-step explanation:
my guess
it's supposed to be the a number closest to 1 or-1
so
-0.9 is the closest number to 1 or -1
The answer to this question is:
0.8
What is line of best fit and correlation coefficient?
A straight line that best approximates the given set of data is known as a line of best fit. It is a line that, on a graph, roughly straddles the center of each scatter point. The association is stronger the closer the points are to the line of greatest fit.
The equation of a line of a best fit is represented as: y=mx + c
To gauge how closely two variables are related to one another, correlation coefficients are used.
Solution:
In order to determine how closely related two sets of data are, correlation coefficient formulas are used. The formulas provide a value in the range of -1 and 1, where
1 denotes a strongly positive association.A score of -1 indicates a very adverse association.A result of zero means there is absolutely no associationThe strength of the link between the variables increases with the distance between the coefficients of +1.0 and -1.0.
-0.9 is a value which is greater than -0.8, so the values which are greater than -0.8 are not considered as strong correlation coefficient.
Whereas the values which are less than 0.8 are also not considered as strong coefficients.
Hence 0.8 is the correlation coefficient which represents the strongest linear relationship.
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Please he'll if you want brianleist (no links please!) Ty :)
Answers
step-by-step explanation: i’m going to be using the flip and multiply method because that’s how i learned 3 would turn into 1/3
1/12 • 1/3 which is 1/36
Answer:
It is 1/36
Step-by-step explanation:
Brainliest plzzz
What is the area, in square meters, of the trapezoid below?
8.3 m
5.3 m
16.7 m