For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.
Answers
Answer:
34.86 unit²
Step-by-step explanation:
[tex]A_{triangle}[/tex] = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] , where s = [tex]\frac{P}{2}[/tex] ; P = a + b + c
[tex]A_{hexagon}[/tex] = 6 × [tex]A_{triangle}[/tex]
[tex]A_{circle}[/tex] = [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ [tex]\frac{22}{7}[/tex]
~~~~~~~~~~~~~~~~~~~
Related Questions
Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's base. Using surveyor's tools, Nick measured the angle between the ground and the highest point reached by the top blade and found it was 38.8°. He measured the angle between the ground and the lowest point of the top blade and found it was 30°. Determine and state a blade's length, x, to the nearest foot.
Answers
Using the slope concept, it is found that rhe blade's length is of 90 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 440 feet.
At the highest point, the angle is of 38º, hence:
[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]
[tex]h_1 = 440\tan{38^\circ}[/tex]
[tex]h_1 = 344[/tex]
At the lowetst point, the angle is of 30, hence:
[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]
[tex]h_2 = 440\tan{30^\circ}[/tex]
[tex]h_2 = 254[/tex]
Hence, the difference is:
[tex]h_2 - h_1 = 344 - 254 = 90[/tex]
The blade's length is of 90 feet.
More can be learned about the slope concept at https://brainly.com/question/18090623
Jesse planted several marigold seeds in his garden and, several weeks later, measured and recorded the height (in centimeters) of each plant. The data is organized in the frequency table shown. Of those planted, how many marigolds are less than 4 cm or more than 10 cm long?
A.) 1
B.) 5
C.) 2
D.) 3
Answers
Answer:
D. 3
Step-by-step explanation:
Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)
List the integers that satisfy both these inequalities.
2x + 9 < 0
x > -12
Answers
Answer:
-5, -6, -7 ,-8, -9, -10, -11
Step-by-step explanation:
Which expressions are equivalent to ? Choose all the correct answers. Show your work.
Answers
Answer:
C, D, F
Step-by-step explanation:
Exponent rules:
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]\dfrac{1}{a^{-n}}=a^n[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad\dfrac{24^{-3}}{24^{-4}}=24^{-3-(-4)}=24^1=24[/tex]
[tex]\textsf{B}\quad3^{-2} \cdot 8^{-5}=\dfrac{1}{3^2} \cdot \dfrac{1}{8^5}=\dfrac{1}{9} \cdot \dfrac{1}{32768}=\dfrac{1}{294912}[/tex]
[tex]\textsf{C}\quad\left(\dfrac{1}{24^{-7}}\right)^{-1}=\left(24^7\right)^{-1}=24^{-7}[/tex]
[tex]\textsf{D}\quad\dfrac{8^{-7}}{3^7}=\dfrac{1}{8^7 \cdot 3^7}=\dfrac{1}{(8 \cdot 3)^7}=\dfrac{1}{24^7}=24^{-7}[/tex]
[tex]\textsf{E}\quad24^7 \cdot 24^0=24^7 \cdot 1=24^7[/tex]
[tex]\textsf{F}\quad(24^3 \cdot 24^4)^{-1}=\left(24^{3+4}\right)^{-1}=(24^7)^{-1}=24^{-7}[/tex]
Pls pls pls help ill give you whatever :(
Answers
Answer:
4
Step-by-step explanation:
[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]
4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction
Answers
Answer:
35
Step-by-step explanation:
4+1/3 ÷5=1/6
4+5/3=1/6
Multiply each side by the L.C.M which is 6
24+10+1
35
Consider the function f(x) = x2 + 8x +1. Which equation shows function f written in vertex form?
f() = (x + 8)2 +1
f(x) = (x – 4)²+1
f(x) = (x – 8)² – 17
f()= (x +4)2 - 15
Answers
Answer:
4th option
Step-by-step explanation:
f(x) = x² + 8x + 1
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 1
= (x + 4)² - 15 ← in vertex form
Point JJ is located at (-4,5) on the coordinate plane. Point J is reflected over the x-axis to create point J′. What ordered pair describes the location of J'?
Answers
Answer: (-4, -5) in 3rd Quadrant
Step-by-step explanation: Reflection across x axis only flips the sign of y coordinate
The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º
Answers
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
What is heptagon?A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
Learn more about Heptagon:
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Answer:
C. 124
Step-by-step explanation:
E2020
A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in the simplest form.
Answers
5 red marbles + 3 yellow marbles + 4 blue marbles = 12 total marbles.
And there are 5 RED marbles in the special bag . . .
So the probability of a red marble would be 5/12. The reason why is because there are 5 TOTAL RED marbles and there are 12 TOTAL marbles.
Hope this helps!
what is circles and conditional probability
Answers
Answer:
what you mean about circles but i do know probability
Step-by-step explanation:
conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
What is the completely factored form of x4 8x2 – 9? (x 1)(x – 1)(x 3)(x 3) (x 1) (x minus 1) (x squared 9) (x2 – 1)(x 3)(x – 3) (x 1)(x 1)(x 3)(x 3)
Answers
The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is given as
x⁴ + 8x² – 9
Then by the factorization, we have
x⁴ + 8x² – 9
x⁴ + 9x² – x² – 9
x²(x² + 9) – 1(x² + 9)
(x² + 9)(x² – 1)
(x² + 9)(x – 1)(x + 1)
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:b
Step-by-step explanation:
on edg 2022
The diagram shows a solid shape.
The shape is a hemisphere on top of a cylinder,
Volume of a sphere = 4/3pir^3
Pressure = force/area
The solid shape is placed on a table. The solid exerts a force of 4 Newtons on a table. The pressure on the table is 100 N/m. The height of the cylinder is 45 cm. Work out the total volume of the solid shape.
Please can someone help explain it.
Answers
Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]
How to determine the volume of the solid shape under pressureIn this question we must apply the concepts of pressure (P), in newtons per square meter, cross section area (A), in square meters, and volume (V), in cubic meters, to determine that Let assume that the bottom experiments an uniform pressure due to a reaction force (F), in newtons, from the table, whose formula is described below:
P = F/A = 4 · F /(π · D²) (1)
If we know that F = 4 N and P = 100 N/m², then the diameter of the cylinder is:
[tex]D = 2\cdot \sqrt{\frac{F}{\pi\cdot P} }[/tex]
D ≈ 0.226 m²
And the volume of the solid shape is: (H = 0.45 m)
V = 0.25π · D² · H + (π/12) · D³
V = 0.25π · (0.226 m)² · (0.45 m) + (π/12) · (0.226 m)³
V ≈ 0.021 m³ (21073.745 cm³)
Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]
To learn more on pressure, we kindly invite to check this verified question: https://brainly.com/question/356585
HELP! WILL GIVE BRAINLEST! Which statement is accurate for the right triangle shown below?
csc(α) = 0.94
cot(α) = 0.36
sec(α) = 1.06
sec(α) = 0.94
Answers
Answer:
3rd choice: sec(a) = 1.06
Step-by-step explanation:
sec(a) = (hypotenuse)/(adjacent leg)
The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06
What is the accurate statement?The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:
(hypotenuse)/(adjacent)
In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.
So, we have;
50/47 = 1.06
Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.
Learn more about right triangles here:
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#SPJ2
5/6-1/8 Solve by finding a common denominator
A)30/48
B)34/48
C)38/48
D)42/48
Answers
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
__
The difference is ...
[tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]
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Additional comment
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
__
Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
pls help me thank you
Answers
Answer:
A no. is correct one
Step-by-step explanation:
Hope it will help you. and please mark me brilliant
Answer:
A
Step-by-step explanation:
12x+6x=90deg
90deg+90deg=180deg
PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN
The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?
Answers
Answer:
1296 cm³
Step-by-step explanation:
Given
Volume of original rectangular, V = 162 cm³V = lwhSolving
Here it is mentioned the height is doubledTherefore, h is now 2hSubstitute in the volume formulaV = lw(2h)³V = 8 x lwhV = 8 x 162V = 1296 cm³Answer:
1296 cm³
Original Rectangle:
height : H
volume : 162 cm³
New Rectangle:
height : 2H
volume : x (let it be x)
Solve:
[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf x = 1296[/tex]
Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 5 years. What is the equation
Answers
Principal as 650000
Rate = 4% or 0.04%
Time = 5 years
We are adding because as it is exponentially growth
650000(1+0.04)^5
= 790824.39
PLEASE HELP!!!! Find the volume. Round to the nearest tenth, if necessary.
Answers
Answer:
[tex]63cm {}^{3} [/tex]
Step-by-step explanation:
the shape above is a cuboid and volume of a cuboid
= length x breath x height
=length=3cm
breath= 7cm
height= 3cm
volume= (3x7x3)cm =63 cm^3
Find measure of 2!!!!
Please write the answer quickly- and in degrees!!!!
Answers
The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0
Answers
The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The sum of a number and its square is 42.
Let x be the number. Then the square of that number will be x².
Then we have
x + x² = 42
More about the Algebra link is given below.
https://brainly.com/question/953809
Answer:
a
Step-by-step explanation:
I NEED HELP ASAP
if p=(-4 7) find ry-axis (p)
Answers
Answer:
4 , 7
Step-by-step explanation:
It worked in my app so... :)
in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b
Answers
Answer:
∠a = 35° ∠b = 65°
Step-by-step explanation:
a = 35 ° ( alternate interior angles )
( the line x is parallel to line yz hence we can consider XY as a transversal)
∠b + 35° + 80° = 180 ° ( angle sum property of triangle)
∠b+ 115° = 180°
∠b= 180 - 115
∠b = 65°
This list gives the height of different plants in inches.
10.25, 11.25, 11.00, 10.50, 10.50, 11.00, 10.75, 10.25, 11.00, 10.25, 10.50, 10.75, 10.25, 10.25, 10.50, 11.25, 11.00, 10.75
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
Answers
answer
their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and
Step-by-step explanation:
ok so you just need to put those on the line plot
A right rectangular prism has a length of 6 centimeters a width of 2 centimeters and a height of 5 centimeters what is the surface area of the prism
Answers
it is 2 centimeters I hope that helps and I hope I'm not late
Hello, i am currently having a hard time in school for a while if anybody can help me out it would be greatly appreciated
Answers
Answer:
36 m
Step-by-step explanation:
PT = x
This is True because of similar sides [tex]\frac{8}{x} = \frac{7}{14}[/tex]
solve for x to get PT and you get 16
Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m
Answer:
36 m
Step-by-step explanation:
Line QS = (1/2) Line PT
8 m = (1/2) Line PT
Line PT = 16 m
Perimeter = 3 + 3 + 7 + 7 + 16
P = 36 m
I hope this helps!
Instructions: Find the missing side. Round your answer to the nearest tenth
Answers
Answer: x ≈ 8.9 units
Step-by-step explanation:
We can use trigonometric functions to help us solve this question.
[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]
[tex]\displaystyle 13(sin(43))=x[/tex]
[tex]\displaystyle x= 13(sin(43))[/tex]
[tex]\displaystyle x= 8.86597868[/tex]
[tex]\displaystyle x \approx 8.9[/tex]
Convert 4 3/5 cups to pints.
Answers
Answer:
2.3 pints
Step-by-step explanation:
4.6 cups = 2.3 pints
Please help me I am stuck on this problem!!!!
Answers
Step-by-step explanation:
From less value to large value
30 32 33 33 35
Median is the center number = 33
Mean is (30+32+33+33+35)/5 = 32.6
The same value
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. a private contractor charges $75 per hour to develop a logo plus a $100 supply fee. which equation can be solved to determine x, the number of hours after which the costs would be the same? 50x 250 = 75x 100 50 250x = 75 100x 50x 100 = 75x 250 50 100x = 75 250x
Answers
The equation that can be solved to determine x, the number of hours after which the costs would be the same is; 50x + 250 = 75x + 100
How to create Linear Equations?
The general formula for the slope intercept form of an equation is;
y = mx + c
We are told that;
Charge per hour = $50
Ownership rights = $250
Thus, for the first company, total cost is;
y = 50x + 250
For the second company;
Total cost is;
y = 75x + 100
Thus, at same cost, we have;
50x + 250 = 75x + 100
Read more about Linear Equations at; https://brainly.com/question/1884491
Answer:
50x + 250 = 75x + 100
Step-by-step explanation:
I did the test