Find the area of each shaded sector. round to the hundredths place.
Answers
To find the area of each shaded sector and round to the hundredths place, I'll need some more information, such as the radius of the circle and the measure of the central angle of the sector. Please provide these details so I can assist you with the calculation.
The area of the shaded sector is 1330.81 ft²
Given, ∠GKH = 26° and ∠JKI = 90°
The area that is not shaded has a total of 90° + 26° = 116°.
A circle has a total angle of 360°, so the area that is shaded must be
360° - 116° = 244°
Given, HK = 25 ft
Radius of circle = 25 ft
We know that the formula for the area of the sector of a circle is
Area = \(\frac{\pi \theta r^2}{360^\circ}\)
= (π × 244 × (25)² )/ 360
= 7625π/18
= 1330.81 ft²
Hence, the area of the shaded sector is 1330.81 ft²
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Given question is incomplete, the complete question is below
Find the area of each shaded sector. round to the hundredths place.
Related Questions
A family drove at a constant speed for 3 hours. They
drove 171 miles total. What was their unit rate (miles
per hour)?
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2x-8y=0 and -2x+4y=-8
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A Boeing airplane is 250 feet in length. If a model of this plane is 8 inches long, what scale was used to create the model?
A. 1 inch = 0.032 feet
B. 1 inch = 2000 feet
C. 0.032 feet = 1 inch
D. 1 inch = 31.25 feet
Which answer is correct?
Answers
Explanation: divide 250 from 8
through: (-4, -3) and (-3, -2)
Answers
Answer: x + 1
Hope this helps :)
Answer:
x+1
Step-by-step explanation:
I hope you have a merry christmas!
Find the equation that represents the proportional relationship in this graph,
for y in terms of a.
10
2
1
2
3 4 567 8 9 10
Answers
Answer:
y = 4/5 a
Step-by-step explanation:
If you look on the graph the points (5,4) and (10,8) are on the line. In a proportional relationship, the slope of the line is y/x. If you look at point (5,4) you see that the point is written in the form(x,y). The 5 is the x and the 4 is the y. If I put that in the form y/x we get 4/5 which is the slope.
the same is true for the point (10.8), if I put that in the form y/x , we get 8/10 which simplifies to 4/5. This is true for every point on the line.
Please help this is like 40% of my Grade!!
Lines m and p intersect so that the measure of angle 1 is 60°. If angle 2 is a supplement to angle1, what is the measure of angle 2
Answers
Answer:
120
Step-by-step explanation:
supplementary means the angles add up to 180
The length of a cell phone is 1.8 1.8 inches and the width is 4.4 4.4 inches. The company making the cell phone wants to make a new version whose length will be 1.17 1.17 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone
Answers
Explanation: Since we have a proportion, we can use the equation 1.8/4.4=1.17/x.
Cross multiplying gives us 1.17*4.4=1.8x and solving for x gives us 2.86 in.
DeWitt Company sells a kitchen set for $475. To promote July 4, DeWitt ran the following advertisement: Beginning each hour up to 4 hours we will mark down the kitchen set 10%. At the end of each hour, we will mark up the set 1%. Assume Ingrid Swenson buys the set 1 hour 50 minutes into the sale. What will Ingrid pay
Answers
Ingrid Swenson will pay $446.25 for the kitchen set during the July 4 sale. The sale lasted for a total of four hours, with discounts and markups occurring every hour. Ingrid made her purchase 1 hour and 50 minutes into the sale is $446.25.
During the second hour of the sale, the kitchen set would have been marked down by 10% from its original price of $475. This brings the price down to $427.50. However, since Ingrid made her purchase 1 hour and 50 minutes into the hour, she would also be subjected to the 1% markup at the end of the hour. This results in a final price of $446.25.
The sale promotion involved a 10% discount on the kitchen set's price during each hour, followed by a 1% markup at the end of the hour. Ingrid's purchase occurred during the second hour of the sale. Therefore, she received the 10% discount from the original price of $475, reducing it to $427.50.
Additionally, because she made her purchase 1 hour and 50 minutes into the hour, she incurred a 1% markup. This small increase brought the final price to $446.25, which is what Ingrid paid for the kitchen set.
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If billy has 20 undex card then cut them in half would that be a physical or chemical change?
Answers
Answer:
Physical
Step-by-step explanation:
Cutting the cards in half just changes what they look like, not what they are. Changing what they are would be a chemical change.
Answer: physical change
Step-by-step explanation:
A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Answers
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
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What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Answers
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
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Determine the equation of the circle with center (0, -4) containing the point
(√44,-5).
Answers
The equation of the circle with center (0, -4) containing the point (√44,-5) is \(x^2 + (y + 4)^2 = 45.\)
The center of the circle is given as (0, -4). Let the radius of the circle be denoted by r. Then the equation of the circle can be written as:
\((x - 0)^2 + (y + 4)^2 = r^2\)
where (x, y) represents any point on the circle.
Now we need to find the value of r. We know that the circle passes through the point (√44,-5). Substituting these values in the equation above, we get:
(√44 - \(0)^2 + (-5 + 4)^2 = r^2\)
Simplifying this, we get:
\(44 + 1 = r^2\)
Thus\(, r^2 = 45.\)
Substituting this value of\(r^2\)in the equation of the circle, we get:
\(x^2 + (y + 4)^2 = 45\)
Therefore, the equation of the circle with center (0, -4) containing the point (√44,-5) is:
\(x^2 + (y + 4)^2 = 45.\)
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a new car is purchased for 18500 dollars. the value of the car depreciates at 8% per year. to the nearest tenth of a year, how long will it be until the value of the car is 9100 dollars?
Answers
Answer:
8.5 years
Step-by-step explanation:
You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.
ValueThe depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...
value = (initial value) × (1 - (depreciation rate))^t
where the rate is "per year" and t is in years.
Applicationvalue = 18500·(1 -0.08)^t
9100 = 18500·0.92^t . . . . fill in the value of interest
9100/18500 = 0.92^t . . . . divide by 18500
log(91/185) = t·log(0.92) . . . . take logarithms
t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509
It will be about 8.5 years until the value is $9100.
__
Additional comment
The graph shows the solution to ...
18500·0.92^t -9100 = 0
We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.
A rectangle has the following vertices: A(-1, 9), B(0, 9), C(0, -8), D(-1, -8). What is the area of rectangle ABCD?
Answers
The area of the rectangle is 17 square units.
How to find the area of the rectangle?The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.
Here we know that the vertices are:
A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)
We can define the length as the side AB, which has a lenght:
L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.
And the width as BC, which has a length:
L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.
Then the area is:
A = (1 unit)*(17 units) = 17 square units.
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C
Find the product
- ab and ac
Answers
Answer:
-a square bc
Step-by-step explanation:
-ab(ac)
= - (a*a*b*c)
= - a to the power 2 and bc
= -a square bc
Answer:
-a square bc
Step-by-step explanation:
trust
Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Choose 1 answer:
A
They have too much caramel.
B
They have too little caramel.
C
They are just right.
Answers
in a class of 80 students, the professor calls on 1 at random for a recitation in each class period. there are 32 class periods in a term. write a formula for the probability that a given student is called upon j times during the term
Answers
The probability that a given student is called upon j times during the term
b(32,j,1/80) = (32/j)∗(1/80)j∗(79/80)(32−j)
Probability:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
given that
In a class of 80 students, the professor calls on 1 at random for a recitation in each class period
there are 32 class periods in a term
the probability that a given student is called upon j times during the term
b(32,j,1/80) = (32/j)∗(1/80)j∗(79/80)(32−j)
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Hi ,PLEASE Don't answer its for a friend who is really important to me.
I
Answers
Answer:
no
Step-by-step explanation:
10 points so Yee, I spam a ton of these cause I don’t pay attention
Answers
The area of the given trapezoid is 27280 cm².
QuadrilateralsThere are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a square, all angles are 90° and all sides present the same value.
The sum of the interior angles of a quadrilateral is equal to 360°.
Area of Compound ShapesThis question requires your knowledge about the area of compound shapes. For solving this, you should:
Identify the basic shapes; Calculate your individual areas; Subtract each area found. STEP 1 - Identify the basic shapes.The trapezoid is composed for:
- 2 triangles whose sides are equal to 34 cm and 110 cm/ 22 cm and 110cm.
- 1 rectangle whose sides are 220 cm and 110 cm.
Therefore, you should sum the area of these geometric figures for finding the total area.
STEP 2 - Find the area of the triangles.Area of each triangle = \(\frac{bh}{2}\), where b=the length of the side and h= the height of the triangle. Then,
A_triangle1= \(\frac{bh}{2}=\frac{34*110}{2}\)=1870 cm²
A_triangle2= \(\frac{bh}{2}=\frac{22*110}{2}\)=1210cm²
STEP 3 - Find the area of the rectangle.Area of the rectangle=bh, where b=the length of the side and h= the height of the rectangle. Then,
A_rectangle= bh=110*220=24200
STEP 4 - Find the area of the trapezoidA_trapezoid= A_rectangle+A_triangle1+A_triangle2
A_trapezoid= 24200+1870+1210
A_trapezoid= 27280 cm²
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PLEASE HELP
Sally purchased 24 pencils.
1
8
of the pencils are blue.
1
6
of the pencils are red.
How many pencils are neither blue nor red?
A.17
B.14
C.7
D4
Answers
Answer:
17 = A
Step-by-step explanation:
Add 1/8 + 1/6 to get 7/24 so 24/24 - 7/24 would be 17/24 there are 17 pencils neither blue nor red
A movie production company was interested in the relationship between the budget to make a movie and how well
that movie was received by the public. Information was collected on several movies and was used to obtain the
regression equation 9 = 0.145x + 0.136, where x represents the budget of a movie (in millions of dollars) and is the
predicted score of that movie (in points from 0 to 1).
What is the predicted score of a movie that has a $250,000
budget?
O 0.03625 points
O 0.17225 points
O 0.7862 points
O 1 point
Answers
The predicted score of a movie will be 0.17225 points
The correct option is (b).
Given,
The regression equation y = 0.145x + 0.136
where x represents the budget of a movie (in millions of dollars).
To find the what is the predicted score of a movie that has a $250,000
budget?
Now, According to the question:
The regression equation is:
y = 0.145x + 0.136
x = 0.25 millions
Substitute the value of x in above regression equation:
y = 0.145 x 0.25 + 0.136
y = 0.17225 points.
Hence, The predicted score of a movie will be 0.17225 points
The correct option is (b).
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Answer:
i just did the test, the person above me is correct.
Step-by-step explanation:
Which expression is equivalent to -66.1 - (-55.6)?
Answers
Answer:
subtracting a negititive is the same as adding so -66.1+55.6
Hope This Helps!!!
Solve for g.
3(g − 20) = –6
g =
Answers
Answer:
g = 18
Step-by-step explanation:
solved in the picture
is the standard deviation of the numbers x, y, and z equal to the standard deviation of 10, 15, and 20 ?
Answers
This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.
What is the standard deviation?
The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.
Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.
This is what 10, 15, and 20 will be on a number line
10_ _ _ _15 _ _ _ _20
(15 is the mean and 10 and 20 are 5 steps away from the mean)
i) Z - X = 10
This is what Z and X will be on the number line
X _ _ _ _ _ Z
ii) Z - Y = 5
This is what Z and Y will on the number line.
Y_ _ _ _ _ Z
Together, their relative placement on the number line:
X _ _ _ _ _ Y _ _ _ _ _ Z
This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.
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Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answers
Answer:
A
Step-by-step explanation:
Got this right on edmentum
30. In the figure below, rectangle ABCD shares CD with ACDE,
diagonal BD of the rectangle extends in a straight line
beyond D to E to create DE, and the measure of CDE is
155°.
What is the measure of ZCBD?
F. 25
G.55
H.65
J.90
K.155
Answers
The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.
To find the measure of angle ZCBD, we need to examine the given information.
From the figure, we know that angle CDE is 155°.
Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.
In a rectangle, the sum of the interior angles at a vertex is always 90°.
Therefore, angle CBD is 90°.
Hence, the measure of angle ZCBD is 90°.
Therefore, the correct option is J. 90.
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Factor each polynomial already set a real numbers. Question (C)
Answers
The given function is:
\(f(x)=x^4-25x^2+144\)Split 25 into two using factors of 144 (-16 and -9):
\(x^4-16x^2-9x^2+144\)Factorize each pair of expressions:
\(\begin{gathered} x^2(x^2-16)-9(x^2-16) \\ =(x^2-16)(x^2-9) \end{gathered}\)Factorize further using the difference of two squares:
\(\begin{gathered} (x^2-4^2)(x^2-3^2) \\ =(x-4)(x+4)(x-3)(x+3) \end{gathered}\)Hence, the factored form of the function is:
\(f(x)=(x-4)(x+4)(x-3)(x+3)\)Help plz ffggggggggggggggggggggggggggggg
Answers
Answer:
< EFG
< GFE
Step-by-step explanation:
The letter for the vertex must be in the middle
< EFG
< GFE
<F
Write this expression using exponents
34
Answers
Answer: 17²
Step-by-step explanation:
The floor of a rectangular shed is 12 ft by 14 ft.
What is the area of the floor in square feet?
Answers
Answer:
Step-by-step explanation:
S=a*b=12*14=168feet²