What is the area of the shaded region? Use 3.14 for pi and round your answer to the
nearest tenth.
O
6 cm
10 cm
12.6 cm²
78.5 cm²
50.2 cm²
201.0 cm²
The area of the shaded region is, 201.0 cm².
What is circle?
A circle is a closed, two-dimensional figure in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric around the center for all angles.
In the given figure we have to find the area of the shaded region.
First to find the area of circle with radius 10cm.
Area of circle = [tex]= \pi r^2 = 3.14*(10)^2 = 3.14*100 = 314cm^2[/tex]
Now to find the area of circle with radius 6cm.
Area of circle = [tex]= \pi r^2 = 3.14*6^2=3.14*36 = 113.04 cm^2[/tex]
So, the area of the shaded region is,
[tex]314cm^2 - 113.04cm^2 = 200.96cm^2=201.0cm^2[/tex]
Hence, the area of the shaded region is, 201.0 cm².
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A model rocket is launched off the top of a platform. The height of the rocket is given by the function h(t) = -4.9t2+ 86t + 2.1, where h(t) is the height in meters and t is the time in seconds. When will the rocket's height be 200m?
Answer:
t = 14.82 and 2.72secs
Step-by-step explanation:
Given the function of the rocket height expressed as;
h(t) = -4.9t^2+ 86t + 2.1
if the rocket height is at 200m, then;
200 = -4.9t^2+ 86t + 2.1
multiplying through by 10
2000 = -49t^2 + 860t + 21
49t^2 - 860t - 21 + 2000 = 0
49t^2 - 860t + 1979 = 0
Factorize
t = 860±√(860)²-4(49)(1979)/2(49)
t = 860±√739,600-387,884/98
t = 860±√351,716/98
t = 860±593.06/98
t = 860+593.05/98 and 860-593.05/98
t = 1,453.05/98 and 266.94/98
t = 14.82 and 2.72secs
These are the times
Pls answer this question
Answer:
1) B
Step-by-step explanation:
1)
The formula for the volume of a prism is h * l * w
So, if we do that we get 25/18
2) B
Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30
So...
5/6 * 1/30 (We switched the numbers around because we are dividing.)
5/6 * 1/30 = 5/180 now we can simplify this to 1/36.
5 and 180 are a factor of 5
Hope this helps
Bella wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.75 per pound and raspberries cost $2.75 per pound. How much does she spend if she buys 3 pounds of blueberries and 1.5 pounds of raspberries? How much does she spend if she buys xx pounds of blueberries and yy pounds of raspberries?
Answer:
a) 15.375
B) at a minimum 65 dollars
Step-by-step explanation:
part one you multiply the pound by the price and get your answer and part 2 its a double digit number so you find the minimum
PLEASE HELP ME ASAP!!!!!!!!!
In a school, 10% of students have 7 ball pens, 30% of students have 3 ball pens, 40% of students have 2 ball pens and 20% of students have 1 ball pens. What is the expected number of ball pens of a student?
The expected number of ball pens of a student is 2.4.
What is the expected number?
In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.
The expected number of ball pens of a student can be calculated by taking a weighted average of the number of ball pens that each group of students has.
The weight for each group is the percentage of students that are in that group.
So, we can calculate the expected number of ball pens of a student by:
(10% * 7) + (30% * 3) + (40% * 2) + (20% * 1)
0.7 + 0.9 + 0.8 + 0.2
The expected value is also known as the population means and it can be calculated by summing the product of each outcome’s probability and its corresponding value.
Here, the outcome is the number of ball pens.
Hence, the expected number of ball pens of a student is 2.4.
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A diving board is 10 feet long and 1 foot wide. What is its area?
Answer:
10ft^2
Step-by-step explanation:
10ft×1ft=10
Answer:
10square feet is the area (length x width)
Step-by-step explanation:
1. What is the measure of angle ABE?
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2. Select all true statements about the figura
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A
B
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40°
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C
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The solution is 40°
The measure of the angle ∠ABE = 40°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the angle be represented as ∠ABE
Now , let the line be EBC and the total angle of a straight line = 180°
And , the measure of ∠CBD = 40°
Since , ∠ABE and ∠CBD are vertically opposite angles ,
The measure of ∠ABE = measure of ∠CBD
Therefore , the value of ∠ABE = 40°
Hence , the measure of vertically opposite angle ∠ABE = 40°
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PLEASE HELP!!! WILL MARK ANSWER BRAINLIEST!!!!!!! The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails. The manager found that 0.3 pounds of nails in the sample were defective. They were either bent, the heads were damaged, or they had been clipped too short during manufacture. How many pounds of defective nails should the manager expect the 350-pound delivery to contain? Round your answer to the nearest tenth of a pound.
The manager should expect the defective nails of 350-pound delivery to contain 23.3 pounds .
How to find defective rate?The defect rate is a measurement of the proportion of production units that are flawed or useless relative to a certain number of units. Businesses use this assessment to assess the quality of their products and how they affect their bottom line. Although lower rates are desired, no industry has a set acceptable fault rate. Therefore, businesses must choose their goal defect rate.
Defect rate is crucial because it enables firms to calculate the proportion of output units that fail quality checks. This assists the firms in identifying any issues with quality control or manufacturing and estimating the cost of each fault. To estimate the profitability of a product, businesses can also compare failure rates among comparable or dissimilar products.
In ever 4.5 pounds of nail defective nails are = 0.3 pounds
In ever 1 pounds of nail defective nails are = 0.3/4.5 pounds
In ever 350 pounds of nail defective nails are = (0.3/4.5)*350 pounds
⇒ the defective nails in 350 pounds of nails= 105/4.5
⇒ the defective nails in 350 pounds of nails= 23.3 pounds
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show your work plz and i will give brainliest
Answer:
B) is false
Explanation:
A triangle canot have 2 abtuse angles and one acute angle.
Answer:
B is false
Step-by-step explanation:
a is true because an equilateral triangle has three acute angles (60 degrees)
c is true because an iscoceles triangle can be drawn with one obtuse angle and two acute angles.
d is true because a right angled triangle can be drawn with one right angle and two acute angles.
b is false because neither an equilateral, iscoceles, right-angled, or scalene triangle can be drawn with two obtuse angles.
Which single power is equivalent
32x^6-4
how do yo factor this
Would it be possible for 3x2 to equal 1?
Answer:
no
Step-by-step explanation:
3x2=6 ;-;
Is it possible for [tex]3\times2[/tex] to equal 1?
[tex]3\times2=6[/tex]
[tex]6\neq 1[/tex]
Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.
In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.
Answer:
search it
Step-by-step explanation:
Ali is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures he needs. He needs a total of at least 1,000 signatures before he can submit the petition. Ali wants to collect the same number of signatures each week. Write and solve the inequality for the situation
An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000
and the minimum number of signatures he needs to collect = 80
Given that Ali wants to collect the same number of signatures each week.
Assume that Ali collects m number of signatures each week.
He has 6 weeks to collect the remaining signatures he needs.
So, by unitary method in 6 weeks the number of signatures he would collect:
6 × m
He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.
so, we get an inequality.
520 + 6m ≥ 1000
We solve above inequality.
6m ≥ 1000 - 520
m ≥ 480/6
m ≥ 80
Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.
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asmine is filling a small fish tank with water. The fish tank is in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in. What is the volume of this fish tank
The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.
Therefore the answer is 90π in³.
Recognize that the fish tank is in the shape of a right circular cylinder.
Remember that the formula for the volume of a cylinder is
V = πr^2h
where r is the radius and h is the height.
Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.
Perform the calculation:
πr^2h
= π(3^2)(10)
= π×9×10
= 90π cubic inches
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. The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?
Answer:
V=550cm^3
Step-by-step explanation:
Answer: 549.5 cm squared
Step-by-step explanation:
There are 7 1/2 pounds of potatoes. 1/6 of the potatoes are rotten. What is the weight of good potatoes. Fraction form
Answer:
6 1/4 pounds
Step-by-step explanation:
There are 7 1/2 pounds of potatoes, which is equivalent to 7 1/2 = 7.516=120
120 ounces of potatoes.
If 1/6 of the potatoes are rotten, then 1/6*120 = 20
20 ounces of potatoes are rotten.
Thus, the weight of the good potatoes is 120-20 = 100
100 ounces.
Converting this back to pounds, we get
100/16 = 6 1/4
6 1/4 pounds.
Which of the following is an exponential function?
a) f(x)=5x-6
b) f(x)=2/x
c) f(x)=3x^3
d) f(x)=3^x
Answer:
d) f(x)=3^x
Step-by-step explanation:
it is written in exponential function form
Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same type of watch?
choices
≈ 0.3819
≈ 0.5387
≈ 0.7387
≈ 0.6181
Answer: ≈ 0.6181
Step-by-step explanation:
The probability that at least 2 boys choose the same type of watch is 0.6181.
What is Probability?
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Here, the total number of combinations of styles for 5 boys
12 X 12 X 12 X 12 X 12 = 12⁵
the total ways that each boy have different styles
12 X 11 X 10 X 9 X 8
P(None of the boys have same style) = (12 X 11 X 10 X 9 X 8) / 12⁵
= 0.3819
P(at least 2 boys have same style) = 1 - P(None of the boys have same style)
= 1 - 0.3819
= 0.6181
Thus, the probability that at least 2 boys choose the same type of watch is 0.6181.
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. A factory produces 32 tables in an 8-hour day. Calculate how many
tables are produced:
a ) in 1 hour b) in 3 days c ) in a 5-day week
Answer:
A) 4
B)280
C)480
Step-by-step explanation:
1. 32÷8 =4
multiply 4 by the times of hours in that day frame
and boom you got your answers
Find the area of the rectangle with a length of (5x + 4) and a width of (3x - 2).
Answer: the answer is 9x
Step-by-step explanation:
how to solve inequations
Answer:
When solving an inequality: you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.
you can add subtract multiply and divide the quantity to each side
But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed
3 x -8> 29
3 x -8 < 29
I WILL IVE BRAINLEST FOR CORRECT ANSWER
15 Weeks should be the answer
x= x 1/3 * x3 is it always sometimes or true
Answer:
Only sometimes true
Step-by-step explanation:
Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:
x = x/3 * 3x
Now, to simplify this equation, we will multiply both sides by 3, giving us:
3x = x * 3x
Then, simplify the left side:
3x = [tex]3x^{2}[/tex]
Divide by 3 gives us:
[tex]x = x^{2}[/tex]
Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.
Hope this helped!
a.
A rectangular prism has a volume of 192 cm. Its length is 8 cm and its width is 6 cm. What is the prism's height?
4 cm
C. 24 cm
b. 48 cm
d. 32 cm I'll give Brainly
Answer:
4cm
Step-by-step explanation:
Volume of a rectangular prism is V = L x W x H
plug in what we know:
192 = 8 x 6 x H
192 = 48H
divide both sides by 48
H = 4
WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40
4+2•3^2
HELPPPP!! IT HAS TO EQUAL TO 40!!!!
Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred strawberry ice cream than vanilla ice cream?
Boat A traveled at a speed of 15km/h for 7h a day. Boat B traveled at a speed of 25km/h for 6h a day. Find the difference traveled by the 2 boats that day.
Answer:
Boat A travels 105 km
Boat B travels 150 km
difference 45 km
Find m/ABD and m/DBC. Enter deg after any value that is in degrees.
Therefore, as a result, the angles of the triangle m∠ABD and m∠DBC equal 37 et 58 degrees, accordingly.
Defining a triangleYou can link any key steps in a plane to form triangle, that have sides and three angles. They were among of the first geometric forms to be examined. Since triangles might well be divided into any polygon, regardless of whether it contains four, five, six, ... n sides, they are very significant.
Here,
Given that in this case mABC is 95 degrees
The meeting of two lines forms an angle, while a line cutting an angle in half equally divides it.
Looking at the example,
∠ABC is equal to ∠ABC + ∠ABCD.
with the following
95 degrees, ∠AB
∠ABD = 2x + 23
∠DBC = 9x - 5
Put the missing pieces of the equation in.
95 = 2x + 23 + 9x - 5
95 =11x +18
11x = 95 - 18
11x = 77
x = 77/11
x = 7
Recognize the angle AB
∠ABD = 2x + 23
∠ABD = 2(7) + 23
<ABD = 14 + 23
∠AB = 37°
Apply the ∠DBC angle.
95 - ADBD is ∠DBC.
∠DBC = 95 - 37
A DB of 58 degrees
The readings of m∠ABD and m∠DBC are therefore 37 and 58 °, respectively.
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How do you graph inverse functions and relations?
An inverse relation and function is the opposite of a relation and functions.
An ordered pair collection is referred to as a relation. Let's think about the two sets A and B. The cartesian product of A and B, indicated as A x B, is the set of all ordered pairs of the form (x, y), where x A and y B. A relation is any subset of the cartesian product A x B.
The inverse function f-1 takes each element in the range of an original function f and transfers it to the equivalent element in the function's domain. F must be one-to-one and onto since we are mapping the function f backward.
An onto function only has one output for each input, but a one-to-one function only has one input in the domain for each output in the range. This implies that each input has precisely one input for each output in order to have both.
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