What is the approximate area of the shaded sector in the circle shown below?
Answers
Answer:
Correct option is B.
Step-by-step explanation:
Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.
[tex]Radius=r=16 in.[/tex]
[tex]Angle=\theta=110^{\circ}[/tex]
[tex]Area of sector=}\frac{\theta}{360}\times\pi r^2[/tex]
[tex]=\frac{110}{360}\times\frac{22}{7}\times(16)^2[/tex]
[tex]=\frac{11}{36}\times \frac{22}{7}\times 16\times 16=245.841=246(approx.)[/tex]
∴ Area of sector is [tex]246in^2[/tex]
Correct option is B.
Answer:B
Step-by-step explanation:
NICE
Related Questions
If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?
A. 5,3
B. 4,5
C. 5,5
D. 4,3
Answers
D. (4,3)
Explanation:
The endpoints of the line are given as (9,8) and (-1,-2)
1- Computing the x-coordinate of the midpoint:
Xmidpoint = (x1+x2) / 2 = (9+-1)/2 = 8/2 = 4
2- Computing the y-coordinate of the midpoint:
Ymidpoint = (y1+y2) / 2 = (8+-2) / 2 = 6/2 = 3
Based on the above, the midpoint is (4,3)
Hope this helps :)
the graph that represents 4 ≤ x
Answers
Answer:
Refer attachment.
Step-by-step explanation:
Given: Equation as 4 ≤ x
We have to plot the graph for that represents the given equation 4 ≤ x.
Consider the given equation 4 ≤ x.
It can be read as x takes values which is greater than and equal to 4.
So, the graph of this equation 4 ≤ x is given as shown below.
Special-effects artists often use scale models.the actual height of a velociraptor is estimated to have been approximately 2 ft.an artist draws the dinosaur with a height of 4 in. on paper.
a. what would be an appropriate scale for a model of the velociraptor?
b. the same scale is used for a model of a tyrannosaurus, whose actual height was 16 ft.what is the height of the model?
Answers
part A)
[scale]=[model height]/[actual height]
[scale]=[4 in]/[2 ft]=2 in/ft
that means
(2 in) in the model is -------------> (1 ft) in the actual
part B)
[actual height]=16 ft [model height]=? [scale]=2 in/ft
[scale]=[model]/[actual height]
[model height]=[scale]*[actual height]
[model height]=[2]*[16]=32 in
the answer part B) is 32 in
distance between 1,3 and -3, -1
Answers
Factor completely x^2 + 16.
(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)
Answers
A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer as a simplified mixed number or a decimal
Answers
The volume of a rectangular prism is:
[tex]V=l*w*h[/tex]
Where
l=lenght,
w=width
h=height
So, as this prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches, the volume is calculated as follows:
[tex]V=l*w*h=312 in*5 in*112 in=174 720 inches^3[/tex]
If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to
decrease
stay the same
increase
Answers
If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to decrease.
What is the correlation of the sets?For a message to be processed by a certain orchestration, a correlation set specifies a collection of qualities and values for these properties. A maximum of three parameters are supported by each correlation set.
If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to decrease.
This means that there is an inverse relationship between the two sets, such that when one variable increases, the other variable tends to decrease.
This type of correlation is often expressed by a negative correlation coefficient,
which ranges from -1 to 0, with -1 indicating a perfect negative correlation.
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How can you find the number of inches in 1 mile, show your work.
Answers
1 foot=12 inches
63360 is the correct answer
The value of number of inches in 1 mile is,
⇒ 15,096 inches
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To find the number of inches in 1 mile.
Since, We know that;
1 mile = 1258 foot
And, 1 foot = 12 inches
Thus, The value of number of inches in 1 mile is,
⇒ 1258 x 12
⇒ 15,096 inches
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What pair of numbers has the geometric mean of 44
Answers
so 16×121 = 1936
so the pair is 16 and 121
The possible pair of numbers that has the geometric mean of 44 is 16 and 121 and this can be determined by using the concept of geometric progression.
Given :
The geometric mean of 44.
The following steps can be used in order to determine the pair of numbers that has the geometric mean of 44:
Step 1 - The concept of geometric progression can be used in order to determine the pair of numbers that has the geometric mean of 44.
Step 2 - Let the two numbers be 'a' and 'b'.
Step 3 - According to the given data, the geometric mean of 44, that is:
[tex]\rm \sqrt{ab} = 44[/tex]
Step 4 - Simplify the above expression.
ab = 1936
Step 5 - So, the possible pair of numbers that has the geometric mean of 44 is 16 and 121.
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Select the correct answer. What is the LCM of the numbers 3, 6, and 9? 9 18 36 54
Answers
Answer:
18
Step-by-step explanation:
3 times 5
6 times 2
9 times 2
all 18
what is the lateral area of the cone? base 10 yd height 12.1 yd
a. 242.6 yd2
b. 190.07 yd2
c. 603.19 yd2
d. 96.4 yd2
Please help me get this answer correct ! asap
Answers
L= r x [tex] \pi [/tex] x l
where: L = Lateral area
l = length or height
r = radius
[tex] \pi [/tex] = 3.1416
Now sorting out your given:
base = 10 yd
Height = 12.1 yd
To work out the lateral area, you will need the radius. Your base 10 yd, is the measure from one side to the other of the circle base, this is what you call diameter. What you need is radius, which is the measure of a circle from the middle of the circle to the outside, so it is half of a diameter.
So to get radius (r), divide the base by 2.
r = 10yd/2 = 5yd
Now that you have all that you need just input it into your formula:
L = r x [tex] \pi [/tex] x l
= 5 yd x [tex] \pi [/tex] x 12.1 yd
= 190.07 yd[tex] ^{2} [/tex]
So your answer is B.
base=10 yd-----------------> r=5 yd
lateral area=pi*r*h--> pi*5*12.1= 190.07 yd²
the answer is option b. 190.07 yd2
What are the slope and the y-intercept of the linear function that is represented by the graph?
Answers
The y-intercept is the point where the line cuts the y-axis, hence the y-intercept is (0,3)
Slope and intercept of a lineThe formula for calculating slope of a line is expressed as:
Slope = y2-y1/x2-x1
Using the coordinate points (0, 3) and (4, 0)
Slope = 0-3/4-0
Slope = -3/4
Since the y-intercept is the point where the line cuts the y-axis, hence the y-intercept is (0,3)
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WILL GIVE BRAINLIEST!!! PLEASE HELP!!! 11 POINTS!!!
Given that a function, f(x), has a domain of -70 ≤ x ≤ -15 and a range of 30 ≤ f(x) ≤ 110 and that f(-60) = 80 and f(-17) = 40, select the statement that could be true for f(x).
* f(-10) = 25
* f(-60) = 95
* f(40) = -55
* f(-65) = 90
Answers
Answer:
Step-by-step explanation:
[tex]slope=\frac{40-80}{-17+60} =-\frac{40}{43}\\f(x)-80=-\frac{40}{43}(x+60)\\\\x=40\\f(x)=-\frac{40}{43}*100+80 \approx -93+80=-13\\x=-65\\f(-65)=-\frac{40}{43}*(-15)+80 \approx 14+80=94[/tex]
The temperature on Saturday was 6 1/2 °C. On Sunday, it became 3 3/4 °C colder. What was the temperature on Sunday?
Answers
Answer:
The temperature on Sunday was 2.75 degrees Celsius.
Step-by-step explanation:
The temperature on Saturday was = [tex]6\frac{1}{2}[/tex] or 6.5 degree Celsius
The temperature on Sunday became [tex]3\frac{3}{4}[/tex] or 3.75 degrees colder.
When the temperature falls of it gets colder, this means the new temperature is less than the previous one. The lower the temperature, the more colder it is.
So, in the question, the temperature gets colder by 3.75 degrees, so the temperature must have been = 6.5-3.75 = 2.75 or [tex]2\frac{3}{4}[/tex] degrees Celsius.
Therefore, the temperature on Sunday was 2.75 degrees Celsius.
An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:
Hourglass with sand measuring 47 millimeters high
© 2011 Jupiterimages Corporation
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass is 47 millimeters. The radius of both the cylinder and cone is 4 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?
A(6.4)
B(62.4)
C(8.5)
D(56.0)
Answers
V=π(4²)(35)=560π mm³.
The volume of a cone is given by the formula V=1/3πr²h². In this instance, r is 4 and the height is 12 mm.
V=1/3π(4²)(12)=π(1/3)(12)(4²)=π(4)(4²)=64π mm³.
This gives a total volume of 560π+64π=624π mm³ of sand.
Since the sand goes down to the bottom at a rate of 10π mm³/second, it will take 624π/10π=62.4 seconds for the sand to all drain out.
Answer:
62.4
Step-by-step explanation:
Jason's insurance company pays for 80% of the cost of an ambulance ride, after he pays a $200 deductible. The ambulance ride costs $1200.
How much wold Jason pay for an ambulance ride?
A) 200
B) 240
C) 400
D) 440
Answers
what are the values of x and y?
Answers
we have that
cos(alfa) triangle ABD=12/y
and
cos(alfa) triangle ABC=y/28
then
12/y=y/28----------> y²=12*28=336----------> y=√336=4√21
y=4√21
applying the Pythagorean theorem triangle ABC
(16+12)²=x²+y²----------? x²=28²-(4√21)²--------> x²=784-336
x=√448=8√7
the answer is
x=8√7
y=4√21
The pair of values below is from an inverse variation. Find the missing value.
(4,14), (10,y)
Answers
x1y1 = x2y2
Now you just have to plug in the information.
4 x 14 = 10 x y2
What do you do now? You isolate the variable, y2. You do this by dividing y2 by the number it is multiplied.
Like this: [tex] \frac{y2}{10} [/tex]
As we all know, what you do to one side you must do to the other. But before you do that, you need to multiply the 4 by the 14.
4 x 14 = 56
Now you can divide by 10.
[tex] \frac{56}{10} [/tex]
The answer should be 5.6. Hopefully this helped!
Letter grades earned by a particular student in history class.
a. qualitative/nominal
b. qualitative/ordinal
c.quantitative/continuous
d.quantitative/ discrete
i think the answer is d
Answers
Joseph squares a number and subtracts 8 from the answer. He then divides this result by 7. Finally he adds 12 and the result is now 20. What was Joseph's original number?
Answers
[tex]( {x}^{2} - 8) \div 7 + 12 = 20[/tex]
[tex]( {x}^{2} - 8) \div 7 = 8[/tex]
[tex]( {x}^{2} - 8) = 56[/tex]
[tex] {x}^{2} = 64[/tex]
[tex]x = \sqrt{64} \: \: \: \: \: x = - \sqrt{64} [/tex]
[tex]x = 8 \: \: \: \: \: x = - 8[/tex]
Final answer:
We use reverse operations to solve Joseph's equation and find that the original number could have been either 8 or -8.
Explanation:
The question asks us to determine Joseph's original number based on a series of mathematical operations. We can set up an equation to represent the problem statement: let x be the original number. The sequence of operations given is:
Square x and subtract 8.
Divide this result by 7.
Add 12 to the result from step 2.
The final result is 20.
Representing this mathematically: ((x2 - 8) / 7) + 12 = 20. To find x, we need to work backward through these operations:
Subtract 12 from both sides: ((x2 - 8) / 7) = 8.
Multiply both sides by 7: x2 - 8 = 56.
Add 8 to both sides: x2 = 64.
Take the square root of both sides: x = 8 or x = -8 (considering both positive and negative square roots).
Therefore, Joseph's original number could have been either 8 or -8.
−12.7=y−3.4
Can you guys please help me solve this. Thanks!
Answers
[tex]-12.7 = y-3.4 [/tex]
From here, we must clear the value of y.
For this, we follow the following steps:
1) we add 3.4 on both sides of the equation:
[tex]-12.7 + 3.4 = y-3.4 + 3.4 [/tex]
2) We rewrite the right side of the equation:
[tex]-12.7 + 3.4 = y + 0 -12.7 + 3.4 = y[/tex]
3) We do the algebraic sum of the left side of the equation:
[tex]-12.7 + 3.4 = y -9.3 = y[/tex]
Therefore, the solution of the equation is:
[tex]y = -9.3 [/tex]
Answer:
y = -9.3
"if a six sided dice is rolled 2 times. what is the probability of obtaining a 2"
Answers
2/6 because there's less than half a chance to get 2 on a six-sided dice.
hope this helps
factor the trinomial x^2+6x-16
Answers
-16 = -1(16) or 16(-1)
-16 = -2(8) or 8(-2)
-16 = -4(4) or 4(-4)
Out of these 6 possibilities, the only one that sums to 6 is 8(-2), because 8+(-2)=6.
This gives us the factors (x+8)(x-2).
Janet has a square-shaped sheet of wrapping paper. To cover the top of a box, she cuts off 11 centimeters of the sheet along the width. The new area of the sheet is given by the expression below, where x represents the length, in centimeters, of the sheet of wrapping paper before being cut.
x^2-11x
Which statement best describes the term 11x?
the area cut from the sheet of wrapping paper
the area of the sheet of wrapping paper after being cut
the area of the sheet of wrapping paper before being cut
the width of the sheet of wrapping paper after being cut
Answers
The expression she has, x² - 11x, represents the area of the sheet of wrapping paper after she's cut it.
Answer:
The correct option is 1. It means 11x is the area cut from the sheet of wrapping paper.
Step-by-step explanation:
The shape of sheet is square.
Let x represents the length, in centimeters, of the sheet of wrapping paper before being cut.
The area of a square is
[tex]A=a\times a[/tex]
Where, a is side length.
The area of sheet before being cut is
[tex]A=x\times x=x^2[/tex]
The width of the piece cut from the sheet is 11 and length is x. So, the area of piece is
[tex]A=x\times 11=11x[/tex]
The remaining area of sheet is
[tex]A=\text{Area of sheet}-\text{Area of piece cut from the sheet}[/tex]
[tex]A=x^2-11x[/tex]
Therefore correct option is 1. It means 11x is the area cut from the sheet of wrapping paper.
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. the store manager assures you that 13 of the 47 boxes on the shelf have the secret decoder ring. the other 34 boxes on the shelf have a different gift inside. if you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring?
Answers
The probability that both selected boxes have the secret decoder ring is approximately 7.20%
Explanation:To find the probability that both selected boxes have the secret decoder ring, we can use the concept of independent events. Since the boxes are randomly selected, the probability of selecting a box with the secret decoder ring is 13/47 for the first box. After selecting the first box, there will be 12 boxes with the secret decoder ring left out of 46 total boxes. So, the probability of selecting a second box with the secret decoder ring is 12/46. To find the probability of both events occurring, we multiply the probabilities: (13/47) * (12/46) = 156/2162 ≈ 0.07197 or about 7.20%
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A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form
Answers
25*13=325
The area of the rectangle is 325 sqr inches.
helppppppppppppppppppppppppppppppppppp
Answers
-16 + 37i
Explanation:
Note that i^2 = -1
(4+7i)(3+4i) = 4*3 + 4*4i + 7i*3 + 7i*4i
= 12 + 16i + 21i + 28i^2
= 12 + 37i + 28(-1)
= 12 + 37i - 28
= -16 + 37i
Hope this helps :)
Match term with the definition
__A) shape created when a right triangle is rotated about the y-axis
__B) shape created when a rectangle is rotated about the y-axis
__C) perpendicular cross section of a cylinder
__D) parallel cross section of a sphere
__E) perpendicular cross section of a pyramid
Triangle
Rectangle
Circle
Cylinder
Cone
Answers
I got A,B,E,D,C
Correct me if im wrong
It may be wrong.
Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power times b to the 4th power
Answers
(a^7b^8)/(a^4b^4)
According to the rules of indices, when you divide numbers with the same base, it's the same as subtracting their powers. Hence we shall have:
(a^7b^8)/(a^4b^4)
=(a^(7-4))(b^(8-4))
=a^3b^4
the answer is a^3b^4
Select the correct product. ( a + 8)( b + 3)
ab + 8 a + 3 b + 24
ab + 3 a + 8 b + 24
11 ab
24 ab
Answers
ab + 3a + 8b + 24
i hope this helps :)
Answer:
ab + 3 a + 8 b + 24
Step-by-step explanation:
just did this question