Answer: 69.5 degree
find the area of the shaded region. geometry please help if your good at it. will mark brainlist
Area of shaded region = area of circle - area of segment
(where "segment" refers to the unshaded region)
Area of circle = π (11.1 m)² ≈ 387.08 m²
The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:
Area of segment = area of sector - area of triangle
130° is 13/36 of a full revolution of 360°. This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so
Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²
Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :
x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)
x ² ≈ 404.82 m²
x = 20.12 m
Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so
sin(25°) = y / (11.1 m)
y = (11.1 m) sin(25°)
y ≈ 4.69 m
Then
Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²
so that
Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²
Finally,
Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²
Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
Betty made $200 salary plus 5% commission on her sales this week. If she made $275 this week, what
were her total sales this week?
Answer:
$36.00 i think
Step-by-step explanation:
If f(x)=3x^2+x-2, then f(-2)=
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) , substitute x = - 2 into f(x) , that is
f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8
The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is
Answer:
11cm
Step-by-step explanation:
Given data
Volume of cuboid =385 cm^3
Base area= 35cm^2
We know that
Volume = Area* Height
substitute and solve for Height
385=35*H
H= 385/35
H= 11cm
Hence, the height is 11cm
Which of the following is equivalent?
Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.
Answer:
The initial balance of the account is $2,000.
Step-by-step explanation:
I took the test on usa test prep
Answer:The initial balance of the account is $2,000.
f(x) = abx, where a = initial value, b = change factor, and x = time period.
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?
Select ALL that apply
A. Alinear model provides the best of the estimated values.
B. The value will increase by 30% in the first 3 years.
C. After 2 yearsthe value will be $605.
D. The rate of change of the value will decrease over time
E.The value will increase by $50 in the first year
Answer:
C and E
.................
The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex] and (E) The value will increase by $[tex]50[/tex] in the first year.
Compound Interest:Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]
[tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]
[tex]=[/tex]$[tex]550[/tex]
Change in price=$[tex]50[/tex]
After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]
=$[tex]550\times(1+\frac{10}{100} )[/tex]
=$[tex]550\times(1.1)[/tex]
=$[tex]605[/tex]
After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]
[tex]=605(1+\frac{10}{100} )[/tex]
[tex]=(605\times1.1)[/tex]
[tex]=[/tex]$[tex]665.5[/tex]
Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%
[tex]=\frac{165.5}{5}[/tex]%
[tex]=33.1[/tex]%
[tex]\neq 30%[/tex]%
According to the problem, an exponential pt model provides the best fit.
Therefore, the true statements are an option C and E.
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PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.
Which inequality can be used to find the possible values for d?
Answer:
d ≤ 30
Step-by-step explanation:
40 - 10 = 30
she will be able to spend at most 30 dollars
What is the percent decrease from 61 to 11?
Tell whether the angles are adjacent or vertical. Then find the value of x . 117° xº
Answer:
please give the picture
Step-by-step explanation:
I will then solve this
Multiply (x+2y)(x^2-xy+3y)
The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
Given that, (x+2y)(x²-xy+3y).
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
The product of two given polynomials is as follows
(x+2y)(x²-xy+3y)
= x(x²-xy+3y)+2y(x²-xy+3y)
= x³-x²y+3xy+2x²y-2xy²+6y²
= x³+x²y-2xy²+6y²+3xy
Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
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i need help with everything please if you help you are a legend please.
2. Closer to 0. Because it is always getting smaller. The smaller it gets, the closer it get to 0.
3.
a. Closest to 1.
b. Closest to 0.
c. (1/12)
4.
a. Closest to 1.
b. Closest to (1/2)
c. (14/16)-(10/16)=(4/16)
PLEASE HELP! Which of the following teams will have a greater standard deviation in their heights ?
When a button is pressed, a computer program outputs a random odd number greater than 1 and less than 9. You press the button 4 times. How many possible outcomes are there?
Answer:
Well if it is 1 to 9 and you press it 4 times you will have 9 possible outcomes
Step-by-step explanation:
The number of possible outcomes when the button is pressed 4 times is; 81 outcomes
Number of possible outcomesWhen the button is pressed first, the possible choices of random odd number are; 3, 5 and 7.This is because the sample space includes odd numbers between 1 and 9 excluding 1 and 9.
Since number of possible choices for one press is 3,then for four presses, we will have;
3⁴ = 81 possible outcomes
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Most states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery wager, from the Tri-State Pick 3 game that New Hampshire shares with Maine and Vermont. You choose a three-digit number; the state chooses a three-digit winning number at random and pays you $500 if your number is chosen. Because there are 1000 three-digit numbers, you have probability 1/1000 of winning. Taking X to be the amount your ticket pays you, the probability distribution of X is Payoff X Probability: $0.00 0.999 What is your average payoff from many tickets
Answer:
For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Step-by-step explanation:
1/1000 chance of winning.
This means that there is an 1/1000 probability of you earning $500.
1 - 1/1000 = 999/1000 chance of losing.
In this case, you earn nothing.
What is your average payoff from many tickets
[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]
Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
... Helppppp!! will mark brainiest
Answer: The answer is C
Step-by-step explanation:
C is the answer because the base is +2 and the coefficent is 1/2 which is rise over run so you go up one space and to the right two spaces.
I will venmo if someone can please help me
Answer: 14.967
Step-by-step explanation:
Use Pythagorean Theorem to find the missing length.
a² + b² = c²
x² + 10² = 18²
x² + 100 = 324 [Subtract 100 from both side]
x²= 224
√x² = √224 [solve the square root from both sides]
x ≈ 14.967
find the measure of each angle indicated
Answer:
D) 111
Step-by-step explanation:
Internal Alternate angle thm states 111 and x are equal:
? = 111
Answer:
D
Step-by-step explanation:
its the same as the angle that was given to you
How many solutions ?
Answer:
one solution
the solution is x=0
Answer:
1
Step-by-step explanation:
You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes
Answer:The answer is c
Step-by-step explanation:
The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.
What is volume?
Volume is the three-dimensional space enclosed by a three-dimensional object.
We have to find the volume of the box and the volume of the storage space.
The volume of the box:Volume = length × breadth × height
= 24 × 18× 16 in³
=6912 in³
The volume of the storage space:Volume = length × breadth × height
= 400 × 240 × 60 ft³
= 5760000 ft³
We have to convert this into inches. We know that 1 foot = 12 inches.Therefore, 5760000 ft³ = 5760000 × (12)³ in³
We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³
= 1440000 boxes.
Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.
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A15,3), B12,1), and C-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are
the coordinates of the image?
O A'(-5,3), B(-2,1), C(2,4)
A'(-5,3), B(-2,1). C(-2,4)
O A'(-5,-3), B(-2,-1), C(2,-4)
A(5.-3), B(2.-1). C(-2,-4)
8x = 60 . What does X equals?
Answer:
7.5
Step-by-step explanation:
60/8
7.5
x=7.5
Answer:
X= 7.5
Step-by-step explanation:
What is the average rate of change for f(x) = 2X – 12 over the interval 4sxs8?
A)
10
B)
30
60
D
90
Answer:
Step-by-step explanation:
I think its B, (30)
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(
Answer:
6
Step-by-step explanation:
2 ft = 24in so 4 to 24 is times 6
3ft=36 in and 6 to 46 is times 6
Answer:
6/1
Step-by-step explanation:
2ft=24 inches
3ft=36 inches
poster/original photo
24in/4in=6/1
36in/6in=6/1
6/1
16. On a yachting trip in the South Pacific, you discover a previously unknown island. You notice that there is a population of especially fluffy and particularly cute long-eared rabbits living there. These rabbits seem to have no predators at all on the island, and their mating habits seem to be perfectly random. When they are first surveyed, they have an average ear length of about 18 cm. When they are sampled again in five years, what will likely be true of their ear length
Answer: Their ear length will be thesame because there's no force of evolution.
Step-by-step explanation:
Based on the information given in the question as we are informed that the rabbits have no predators and that their mating habits seem to be perfectly random.
We should note that when they are sampled again in five years, due to the fact that there's no source of evolution, their ear length will be thesame. Also, their offspring number will be thesame as well.
Plss I need help
ASAP
Answer:
21x+56 %thats ur answer hope it worked !
Answer:
21x
Step-by-step explanation:
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I need help with that one anyone can help me please
Answer:
11: 1 tens, 1 ones 17: 1 tens, 7 ones 17 is greater number, it is greater by 6
Which function's graph has the same y Intercept as the line shown?
Оу в x +1
Oy -5x + 5
O y .5x-5
O y: 5x - 1
The graph has the same y Intercept as the line shown is y = 5x - 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We take two points from the graph as (-5, 0) and (0, -5)
So, the slope of line
slope = (-5 - 0)/ (0- (-5))
slope= -5 / 5
slope= -1
Using slope intercept form
y= mx+ b
y= -x+ b
Now, put x= -5 and y= 0 then
0 = -(-5)+ b
b= -5
So, the equation of line is
y= -x - 5
Here, the y intercept is -5.
So, the equation with same y intercept is
y = 5x - 5
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