Answers
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.
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Related Questions
What is the slope for this equation in linear function y=2/3x-2
Answers
Answer:
2/3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
‼️‼️‼️‼️Please Help I really need to submit this by the end of the day and will automatically give branch to first answer‼️‼️‼️‼️‼️
Answers
Answer:
1. 9 = x
2. y = 2
Just copy these steps on paper, then submit.
Writing it yourself will help you, trust me :)
1. 2(x + 5) = 3x + 1
2(x + 5) = 3x + 1
Distribute the 2
2x + 10 = 3x + 1
-1 -1
2x + 9 = 3x
-2x -2x
9 = x
2. 3y - 4 = 6 - 2y
3y - 4 = 6 - 2y
+4 +4
3y = 10 - 2y
+2y +2y
5y = 10
Divide both sides by 5
y = 10/5
y = 2
explain how you simplfy 5(4i - 3m) + 2m
Answers
Answer:
20i - 13m. look at the picture
Help!!!!!! Math problems
Answers
Answer:
(-3,-1)
Step-by-step explanation:
pls giv brainliest
Answer:
(-3, -1)
Step-by-step explanation:
Vertex
__________
The vertex is the highest or lowest point within a parabola. When you look at the point, you can see where it is exactly at.
A set of counters is numbered 1 through 12. Suppose you draw one counter without looking. What is the probability of choosing a number greater than 4?
Question 5 options:
2/3
1/12
1/3
1/6
Answers
8/12 = 2/3
Use the FOIL method to check your answer from part A.
Answers
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
Which number has only two factors?
A: 6
B: 8
C: 9
D: 11
Answers
Answer:
D) 11 cause it is only found form multiplying 1 and 11
Consider function H what is the range of function H
Answers
Answer:
It was -∞ < y < ∞
Step-by-step explanation:
None.
The range of the function is ( -∞ to +∞)
What is a Function?A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can have.
The function is of various types, logarithmic, exponential, quadratic, radical, etc.
The function is shown in the image,
The function is a hyperbolic function, represented by x²/a² -y²/b² = 1 for a hyperbola having a center at the origin.
The function can give any value from the set of real numbers and so,
The range of the function is a set of real numbers.
It seems your question is incomplete, the complete question is attached as an image.
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4(v+7) = -6(3v-4) +8v
Answers
Answer:
v=−27
Step-by-step explanation:
Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.
−6(3v−4)+8v=4(v+7)
Simplify −6(3v−4)+8v
−10v+24=4(v+7)
Simplify 4(v+7).
−10v+24=4v+28
Move all terms containing v to the left side of the equation.
−14v+24=28
Move all terms not containing v to the right side of the equation.
−14v=4
Divide each term by −14 and simplify.
v=−27
The result can be shown in multiple forms.
Exact Form:
v=−27
solve this problem as a fraction in the lowest terms
Answers
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex] is the answer
Step-by-step explanation:
you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]
PQ=RQ what does b =
Answers
...... ....as i said,b = 17
Elsa sells knitted hats for $5 each. Her goal is to make $300 in sales, so she wants to calculate how many hats she needs to knit (x). choose ALL equations in which x correctly represents the number of hats she needs to sell to meet her goal.
A) x/5 = $300
B) 5x = $300
C) $300x = 5
D) 300/5 = x
E) 5/300 = x
Answers
Answer:
B
Step-by-step explanation:
Answer:d and e
Step-by-step explanation:
YESIRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at? Include the steps you used to solve the problem and your answer
Answers
Answer:
3%
Step-by-step explanation:
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?
This is a simple interest question
The formula to find the rate is given as:
Equation:
r = (1/t)(A/P - 1)
t = time = 4 years
P = Principal = $12500
I = Simple Interest = $1500
A = Total Amount = Principal + Simple Interest = $12500 + $1500
= $14000
Calculation:
Solving our equation:
r = (1/4)((14000/12500) - 1) = 0.03
r = 0.03
Converting r decimal to R a percentage
R = 0.03 * 100 = 3%/year
Someone plz help me giving brainliest!!
Answers
Answer:
9/16 square yd
Step-by-step explanation:
Answer:
it would be three yards for the area
Step-by-step explanation:
when i first saw this i thought it said elmo
What is the slope of the line through the points,
(-4,2) & (5,-1)
Answers
Answer:
-1/3
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-1-2}{5--4}\\m=\frac{-3}{9}=-\frac{1}{3}[/tex]
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
S is sodas and H is hotdogs
You can get two equations from the statement
Total sold of 172= S + H
And S-58=H
Replace the H in the first equation with the second
So
172=S+(S-58)
230=S+S =2S
230/2=S=115
115-58=57=H
And to check 57+115=172 total again
Find the slope plllls I need help
Answers
Answer: 5 over 5
Step-by-step explanation:
Answer:
the slope is 5/4
Bill bought a table on sale for $630. This price was 72% of the original price.
What was the original price?
Answers
Answer:
The original price was $875.
Step-by-step explanation:
a = p * w
630 = 72% * w
630 / 0.72 = $875
$875 should be the original price, I hope this helps!
Which equation represents this situation? y = 1.25x ) Which graph represents the situation?
Answers
The second graph represents the situation y=1.25x which has slope 1.25.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y= 1.25x
Slope is 1.25
Now let us plug in (1, 1.25) in the equation
1.25=1.25(1)
Hence, the second graph represents the situation y=1.25x which has slope 1.25.
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The pyramid pictured below has a total surface area of 156 feet squared find the missing measurement
10 points is all i have
Answers
Answer:
maybe 36
Step-by-step explanation:
but can u help me What is the surface area of a square-based pyramid with a base length of 5 m and a slant height of 3 m?
Enter your answer in the box.
The missing measurement is 10 feet.
What is pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
To find the surface area of the pyramid, we can use the following formula,
A = (½)Pl + B.
Where P is the base perimeter, l is the slant height and B is the base area.
Here, the base is square-shaped.
Now, let the slant height be x.
A = (1/2)(4 × 6) (x) + (6)²
156 = 12x + 36
12x = 156 - 36
12x = 120
x = 10 feet.
Therefore, the required height is 10 feet.
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Oh, please help me out of this question, I got stuck on it.
Answers
I am not sure if this is what the question is asking so sorry if It's not what it asked
Someone please help me ASAP
Answers
I think that’s the answer.
Answer:
B
Step-by-step explanation:
When you insert
[tex] \sqrt{15} [/tex]
into you calculator you will get : 3.8729833....
and point B is located around that value.
Complete the mapping of the vertices of ΔDEF.
D(2, –4) → D'
E(1, –1) → E'
F(5, 1) → F'
What is the rule that describes a reflection across the line y = x?
rx = y(x, y) →
Answers
Answer:
D I think
Step-by-step explanation:
GH=5 5; <H = 90
1. The mapping of the vertices of ΔDEF will be;
D(2, –4) → D' (-4, 2)
E(1, –1) → E' (-1 , 1)
F(5, 1) → F' (1, 5)
2. The rule of the reflection across the line y = x is;
[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]
What is Refection?
Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.
Given that;
The coordinates are,
D = (2, –4)
E = (1, –1)
F = (5, 1)
Now,
By the given image,
The mapping of the vertices of ΔDEF is;
D(2, –4) → D' (-4, 2)
E(1, –1) → E' (-1 , 1)
F(5, 1) → F' (1, 5)
And, The rule of the reflection across the line y = x is;
[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]
Because in the image its shows the line of reflection.
Therefore,
1. The mapping of the vertices of ΔDEF will be;
D(2, –4) → D' (-4, 2)
E(1, –1) → E' (-1 , 1)
F(5, 1) → F' (1, 5)
2. The rule of the reflection across the line y = x is;
[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]
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PLEASE HEEEELPPPP ASAP
Answers
Answer:
The solution of the first image is: b = √48
The solution of the second image is: c = √125
Step-by-step explanation:
Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.
For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:
A^2 + B^2 = H^2
Where H is the side that is opposite to the right angle (the angle of 90°)
In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.
We want to find the value of b, that is the other cathetus.
Then we have:
4^2 + b^2 = 8^2
b^2 = 8^2 - 4^2
b^2 = 48
b = √48
Second image:
in this case, c is the hypotenuse, a and b are the cathetus.
We know that:
a = 5, b = 10
Then we have the equation:
a^2 + b^2 = c^2
Now we can replace the above values:
5^2 + 10^2 = c^2
25 + 100 = c^2
125 = c^2
√125 = c
need help with this question
Answers
Find the value of 2.8 + 6.5
Answers
Answer:
Step-by-step explanation:
2.8 + 6.5 = 9.3
Answer:
9.3
Step-by-step explanation:
2.8+6.5=9.3
You'd use addition to solve this
4/5(p+1)=1 wgat equals p
Answers
Answer:
p= 1/4 or 0.25
Step-by-step explanation:
Answer:
p = 1/4 or .25
Step-by-step explanation:
We first multiply by the reciprocal of fraction to move to the other side.
[tex]p + 1 = \frac{5}{4} [/tex]
Reduce
p = 1/4
write a numerical expression for the verbal expression
eighteen more than five
Answers
Answer:
5+8
Step-by-step explanation:
Renting a tool form Store A costs $9.75 per hour plus a fee of $188.55. Renting the same tool
form Store B costs $15.99 per hour with no additional fee. Which inequality could be
used to
find the minimum number of hours, h, a tool must be rented so that the cost of renting the tool
at Store A is less then the renting it at Sore B?
F 188.55 > 15.99 + 9.75h
G 15.99h > 188.55 + 9.75h
H 9.75h < 188.55 + 15.99h
J 15.99h < 188.55h + 9.75
Answers
Answer:
G 15.99h > 188.55 + 9.75h
Step-by-step explanation:
Factorise:
3x^2-2x-5
Answers
Answer:
( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )
Step-by-step explanation:
[tex]3x^{2}[/tex] - 2[tex]x[/tex] - 5
(Multiply 3 from [tex]3x^{2}[/tex] with -5)
Product = -15
Sum = -2
(3 times - 5 gives the product '-15' and 3 plus -5 gives the sum -2)
[tex]3x^{2}[/tex] + 3[tex]x[/tex] - 5
3[tex]x[/tex] ( [tex]x[/tex] + 1 ) - 5 ( [tex]x[/tex] + 1 )
= ( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )