Answer:
The first one
Step-by-step explanation:
The dots are the farthest away from the line in that one.
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
Learn more about Sector of Circle:
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Amanda is considering buying a dress that has an original price of $120. The store is having
a sale where the price of the dress is going to drop by 10%. How much will the new price of
the dress be?
Answer:
96
Step-by-step explanation:
Cody broke a mile run into 12 Parts the parts he did 20 push-ups what fraction of a mile did he run in each part
Answer:
1/6th
Step-by-step explanation:
Find the area of the square?
Answer:
The answer is 25 (5×5=25)
Answer: 25cm
Step-by-step explanation:
multiply 5 times 5
I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you so much! 20 points by the way!!!
Answer:
$1125
Step-by-step explanation:
you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.
Which of the x-values are solutions to the following inequality? 17>x
Answer:
x = anything less than 17 (16, 15, 14, ...)
Step-by-step explanation:
I'm assuming this is a multiple choice/option question and you just didn't post the options so I'm being general with my answer to help you solve it on your own.
HELP ME PLZZ IM CRYING BC I WILL FAIL
Answer:
10-6=4
Step-by-step explanation:
Answer:
A) 8
Step-by-step explanation:
There are two ways you can solve this:
Pythagorean TheoremDivision/ProportionPythagorean Theorem:
The Pythagorean Theorem states: [tex]a^{2} +b^{2} =c^{2}[/tex] and [tex]c^{2} -a^{2} =b^{2}[/tex] or [tex]c^{2} -b^{2} =a^{2}[/tex]. Sides a and b represent the legs of the right triangle. The side length c represents the hypotenuse. So, we need to find one of the legs (b) of the smaller triangle. To do this, we can use the equation:
Division/Proportion:
Line DH has two measures: 3 and 6. The total length of the line is 9. This means that triangle DHM has a side length of 9 compared to triangle FHK's side length of 6. Turn this into the ratio 9:6. Now divide 9/6 to get 1.5. This means that the larger triangle (DHM) is 1.5 times larger than the smaller triangle (FHK). To solve for side length b, divide 12/1.5 to get 8.
Note:
Hope it helps!
solve for x and y pls
Are the lines × = 2 and y = 4 parallel? Are they perpendicular? Explain.
○ They are parallel. They are not perpendicular. The line x = 2 is vertical. The = 4 is horizontal. A vertical line is parallel to a horizontal line. line y
○They are not parallel. They are perpendicular. The line x = 2 is vertical. The line y = 4 is horizontal. A vertical line is perpendicular to a horizontal line.
○They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line
○They are not parallel. They are perpendicular. The line x = 2 crosses line y = 4 at (2,4). A line is perpendicular when it crosses another line at any point.
Answer:
Choice C: They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line
Step-by-step explanation:
The line y=4 is horizontal so, the line passes through (0,4) and its slope is 0
The line x=2 is vertical so, the the line passes through (2,0) and its slope is undefined since it’s a vertical line.
Vertical lines are perpendicular to horizontal lines, which make x=2 and y=4 perpendicular and not parallel
Answer:
Choice C: They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line
Step-by-step explanation:
The line y=4 is horizontal so, the line passes through (0,4) and its slope is 0
The line x=2 is vertical so, the the line passes through (2,0) and its slope is undefined since it’s a vertical line.
Vertical lines are perpendicular to horizontal lines, which make x=2 and y=4 perpendicular and not parallel
Look at this section of the 1040EZ form. Will this individual receive a refund?
no
yes
9.296 times 10 to the 7th power in standard form
ahahaha
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Answer:
Ahahaha
yfyeeeeeeeeeeeeeeeeeeyuef
Step-by-step explanation:
Find the area of the triangle below.
Answer:
Well t find the area of a triangle, you need to multiple Base x height. That gives you 43.56. Now you divide by 2. So the end product will give you 21.78. Those same rules apply to every time you are finding the area of a triangle.
Step-by-step explanation:
Answer: A
Step-by-step explanation: 7.8 x 4.4= 34.32 x .5= 17.16 = A
There are 213 calories in three ounces of a certain ice cream. How many calories are there in one pound?
Answer:
1,136 calories.
Step-by-step explanation:
1. Considering that there are 16 ounces in one pound, and the question is asking for one pound, I would think that there would only need to be 16 ounces observed.
2. Through calculations of the given number of oz, there are 71 calories per oz. By multiplying that by 16 (the number of oz in a lb), there are a total of 1,136 calories in a lb.
Jay has two boards. The length of the first board is 1 and 2-thirds feet, and the length of the second board is 5-eighths foot. Jay estimates that the combined length of the boards must be less than 2 feet.
Simplify (x⁴)³ ??????
Rule:
(xᵃ)ᵇ = x⁽ᵃ * ᵇ⁾
(x⁴)³ = x⁽⁴ * ³⁾ = x¹²
The simplified form of the given expression is needed.
The simplified form of the given expression is [tex]x^{12}[/tex]
ExponentsExponents are useful to condense a multiplication operation just by showing how many times to use the number in a multiplication.
The given term is [tex](x^4)^3[/tex]
It can be written as
[tex](x\times x\times x\times x)^3[/tex]
[tex]=(x\times x\times x\times x)(x\times x\times x\times x)(x\times x\times x\times x)[/tex]
[tex]=x^{12}[/tex]
or
[tex](x^4)^3=x^{4\times 3}=x^{12}[/tex]
Because [tex](x^a)^b=x^{a\times b}[/tex]
Learn more about exponents:
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Got a question is the bye bye man real
Answer:
no
Step-by-step explanation:
Answer: Yes, it is real.
Step-by-step explanation: Dough Jones plays the Bye Bye Man, and he is very real. Therefore, the Bye Bye man is real. If Jones were to die, the Bye Bye Man would die.
A gardener has 60 feet of fencing to keep
animals out of the garden. Find the LARGEST
AREA of garden that this fence will enclose.
Answer:
225 ft^2
Step-by-step explanation:
From what we have in the question, we have 60 ft of fencing
To maximize the area, we will need to have a square
For a square, the length of all sides are equal
Let us call one of the sides s
Thus, from the perimeter of the square;
4s = 60
s = 60/4
s = 15 ft
The area is thus, the product of the side length of the square
15 * 15 = 225 ft^2
Jamie made $1,375 this month. Her bills all totaled $1,285. What was Jamie’s profit this month?
Answer:
$90 profit
Step-by-step explanation:
1375 - 1285 = 90
Answer:
90profit
Step-by-step explanation:
Find the slope of the line that passes through the points (2,7) and (6,-3)
Answer:
-5/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-7)/(6-2)
m=-10/4
simplify
m=-5/2
Question 4 (Essay Worth 10 points)
(06.05 MC)
Iris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 25w represents the number of seeds she plants per week, where w represents the number of weeks.
Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks. (4 points)
Part B: What are the units of measurement for the composite function in Part A? (2 points)
Part C: Evaluate the composite function in Part A for 30 weeks. (4 points)
Answer:
(a) f (w)=50w+25
b number of flowers for a given number of weeks
(c) f (30)=1525
Step-by-step explanation: hope this helps :)
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is [tex]f(w) = 50w + 25[/tex] and the number of flowers for 30 weeks is 1525.
Given that:
[tex]f(s) = 2s + 25[/tex]
[tex]s(w) = 25w[/tex]
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
[tex]f(s) = 2s + 25[/tex]
Replace s with s(w)
[tex]f(s(w)) = 2(s(w)) + 25[/tex]
Substitute [tex]s(w) = 25w[/tex]
[tex]f(s(w)) = 2(25w) + 25[/tex]
[tex]f(s(w)) = 50w + 25[/tex]
Hence:
[tex]f(w) = 50w + 25[/tex]
The units of the measurement of f(w) is flowers
The number of flower for 30 weeks means:
[tex]w = 30[/tex]
So, we have:
[tex]f(30) = 50 \times 30 + 25[/tex]
[tex]f(30) = 1525[/tex]
Hence, the number of flowers for 30 weeks is 1525
Read more about composite functions at:
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what is the answer to -6p - 7 = -31
Answer:
p = 4
Step-by-step explanation:
Answer:
p=4
Step-by-step explanation:
combine like terms
-6p=-24
divide
p=4
Barbara's birthday party costs $19, plus an additional $1 for each guest she invites. If there
are 13 guests, how much will Barbara's birthday party cost?
Answer:
33
Step-by-step explanation:
19+1 additional for each guest so there are 13 guests so 13+1= 14 so 14+19= 33
hope this helps or maybe it could be that you have to times it so here it is.
13 times 1 = 13 so we still have 19 so 19+13= 32 but i think it is 33 trust me. :) tell me if this was right thx.
a wall is 100m long ,0.3 broad and 4.5m high .how many bricks of size 15cmlong 5cm width and 5cm thick are required to construct wall?
Answer:
no of brick=volume of wall/volume of brick=(10000×30×450)/((15×5×5)=135000000/375=360000.is your answer.
here
100m=10000cm
0.3m=30cm
4.5m=450cm
Can you guys help me? I know this kind of easy question, but just to make sure
Answer:
theres nothing to do in this problem because it is already in simplist form. the answer would just be -15x^2 - 9x^3
Step-by-step explanation:
Answer:
There isn’t anything to simplify the answer is the same
Step-by-step explanation:
Plz, HELP me with this question! Plz, HELP me with this question!
THe table shows a proportinol relationship between x an y.
Which equation describes this relationship.
Y= -1/3x
Y= -3x
Y=x-3
Y= x+4
20 points1 PLEASE HELP
Answer:
its b
Step-by-step explanation:
====================================================
Explanation:
Since x and y are in a proportional relationship, this means that y = kx. This is a direct variation equation.
k is the proportionality constant
To find k, we'll use any nonzero x and y pairing. Let's say we use the second row with x = -3 and y = 1
This leads to
y = kx
y/x = k
k = y/x
k = 1/(-3)
k = -1/3
Or we could use the third row to get
k = y/x
k = 2/(-6)
k = (1*2)/(-3*2)
k = -1/3
We get the same value of k for that row as well. I'll let you check the other rows. You cannot use the first row because dividing by zero is not allowed.
Since k = -1/3, this means y = kx updates to y = (-1/3)x which matches with choice A. So effectively, whatever the x input is, we multiply that by -1/3 to get the y output.
Multiplying by -1/3 is the same as dividing by -3. This means that y = (-1/3)x is the same as y = -x/3
Write an equation in point slope form of a line passing through 3,6 having a slope of 1/3 ASAP please
Step-by-step explanation:
hbbuijiiiiiiidontttttknowwwwsorryyyyyyyyyyyy
What is the inverse of:
f (x) = 9x - 4
O f'(x) = *
Of-'(x) = 4
Of(x) = x + 4
of'(x) = 6
Answer:
6 is the correct answer.
3(21+n)=12 Please help
Answer:n=-17
Step-by-step explanation: