in 1996,Donovan Bailey of Canada ran the 100 meter dash in 9.84 seconds.How fastis that to the nearst second?to the nearst tenth of a second

Answers

Answer 1
I think that you round to 9.80 seconds. Pardon me, I didn't understand the problem well

Related Questions

The price of a bracelet increase from $170 to $200 A Mother's Day what is the percent of increase in the price rounded to the nearest percent

Answers

200-170=30
The percentage of increase:
(30/170)*100=17.6471%

a writer gets paid monthly at a rate of $300 for each article she completes last moth she wrote 11.8 articles how much money did she get paid last month? show your work

Answers

the writer gets paid 300 per article

so if she wrote 11.8 articles, she would get paid :
300 * 11.8 = $ 3540 <==

Answer:

She got paid last month $3540 .

Step-by-step explanation:

This problem can be solve by rule 3, knowing that she gets paid for each article a rate of $300.

1 article ------- $300

11.8 article----- x

Next you have to calculate the value of x as follows:

[tex]x=\frac{11.8*300}{1}[/tex]

x=3540

She got paid last month $3540.

is it possible to have three points that would not fit on the same plane 2 dimensional surface? Why or why not

Answers

No. Three points could be the three points of a triangle. Triangles are two dimensional surfaces. Therefore, any three points could exist on a two dimensional triangle.

Cristina Suarez has insured her home for 80% of its replacement value of $155,000. Use the chart to determine the amount of coverage for her personal property, to the nearest dollar.

Answers

it may be 124,000

~hope i help~

The final answer is 55,800

if two angles are supplementary, then it adds up to 180 degrees True or false?

Answers

Answer:  [A]:  "TRUE".
___________________________
True;  by definition, if two angles are supplementary, their measures add up to 180 degrees.
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──▄████▄──▐▌──▄████▄──

The perimeter of a rectangular garden is 98 feet. the length of the garden is 4 feet more than twice the width. what is the length of the garden?

Answers

Width: x
Length: 4+2x
Perimeter=x+x+4+2x+4+2x=6x+8
6x+8=98
x=15
Length=4+2(15)=34 feet
The answer to this question is 34 feet

HELP PLEASE!!!

A wheel makes 20 revolutions per minute. Find the angular velocity.

10π rad/min
20π rad/min
40π rad/min

Answers

Answer:

Angular velocity of a wheel which makes 20 revolutions per minute is 40π rad/min

Step-by-step explanation:

Angular velocity, ω = 2πf , where f is the frequency.

Here frequency, f = 20 revolutions per minute

Substituting frequency value in angular velocity equation,

Angular velocity, ω = 2πf = 2 x π x 20 = 40π rad/min

So angular velocity of a wheel which makes 20 revolutions per minute is 40π rad/min

A cookie factory uses 3/8 of a barrel of oatmeal in each batch of cookies with the factor uses 3/4 of a barrel of oatmeal yesterday how many batches of cookies did the factory make

Answers

Final answer:

The cookie factory made 2 batches of cookies yesterday. This is found by dividing the total amount of oatmeal used (3/4 of a barrel) by the amount used per batch (3/8 of a barrel).

Explanation:

To find the number of batches of cookies the factory made, we would divide the total amount of oatmeal used by the amount used per batch.

The factory used 3/4 of a barrel of oatmeal yesterday, and each batch uses 3/8 of a barrel. So, we divide 3/4 by 3/8.

Before doing that, remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 3/8 is 8/3.

So, 3/4 divided by 3/8 is equivalent to 3/4 multiplied by 8/3, giving us a result of 2.

Therefore, the cookie factory made 2 batches of cookies yesterday using 3/4 of a barrel of oatmeal.

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9 different coin combinations that equal 76 cents

Answers

5 nickels a quarter 2 dimes an a penny  

starting from 105 feet away a person on a bicycle rides toward a checkpoint and then passes it.the rider is traveling at a constant rate of 35 feet per second.The distance between the bicycle and the checkpoint given by the equation is D=|105-35t|.at what times is the bike 60 feet away from the checkpoint?

A.1.3 sec and 2.6 sec
B.1.3 sec and 4.7 sec
c.1.1 sec and 2.6 sec
d.4.7 sec and 9.4 sec
WHO EVER ANSWERS IT FIRST AND RIGHT GETS BRAINIEST

Answers

the answer is B. 1.3 sec and 4.7 sec

Answer:

The correct option is B.

Step-by-step explanation:

It is given that starting from 105 feet away a person on a bicycle rides toward a checkpoint and then passes it.the rider is traveling at a constant rate of 35 feet per second.

The distance between the bicycle and the checkpoint given by the equation

[tex]D=|105-35t|[/tex]

We have to find the times  at which the bike 60 feet away from the checkpoint.

Substitute D=60 i the given equation.

[tex]60=|105-35t|[/tex]

[tex]\pm 60=105-35t[/tex]

Case 1:

[tex]60=105-35t[/tex]

Subtract 105 from both the sides.

[tex]60-105=-35t[/tex]

[tex]-45=-35t[/tex]

Divide both sides by -35.

[tex]1.2857=t[/tex]

[tex]t\approx 1.3[/tex]

Case 2:

[tex]-60=105-35t[/tex]

Subtract 105 from both the sides.

[tex]-60-105=-35t[/tex]

[tex]-165=-35t[/tex]

Divide both sides by -35.

[tex]4.71428=t[/tex]

[tex]t\approx 4.7[/tex]

The bike is 60 feet away from the checkpoint at 1.3 sec and 4.7 sec. Therefore the correct option is B.fore the correct option is B.

The number of timeshare condos available at sunset beach is 3/5 the number of timeshare condos available at playa del mar. if the total number of timeshare condos available at the two beaches combined is 240, what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar?

Answers

60 condos in the difference
Final answer:

To find the difference between the number of condos available at Sunset Beach and Playa Del Mar, we need to set up an equation and solve for the unknown. The number of timeshare condos available at Sunset Beach is 3/5 of the number available at Playa Del Mar. By solving the equation, we find that the difference is 60 condos.

Explanation:

To solve this problem, we can set up an equation. Let's say the number of timeshare condos available at Playa Del Mar is x. According to the question, the number of condos available at Sunset Beach is 3/5 of x, or 3/5x.

So, the total number of condos available at both beaches is x + 3/5x = 240. We can combine the like terms to get 8/5x = 240.

To solve for x, we divide both sides of the equation by 8/5, which is the same as multiplying by its reciprocal, 5/8. Simplifying, we get x = 240 * 5/8 = 150.

Therefore, the number of condos available at Sunset Beach is 3/5 * 150 = 90, and the difference between the number of condos available at Sunset Beach and Playa Del Mar is 150 - 90 = 60.

An item is regularly priced at $65 . it is on sale for 80% off the regular price. how much (in dollars) is discounted from the regular price?

Answers

$52 is discounted off of the regular price

there are 6 grams of fat per serving of granola. each serving provides 180 calories. what percentage of these calories is from fat?

Answers


There are 6 grams of fat per serving in granola. 
Each serving provides 180 calories. 
There are 9 calories of fat in each gram. 
The percentage of calories from fat in granola is? 

30% 

Is this right? Domain and range of a function

Answers

yes you're correct good job

Help me reduce this please!!!

Answers

45 and 567 are both odd, so they are not divisible by 2.
Are they divisible by 3?
Add the digits of 45. 4 + 5 = 9. Since 9 is divisible by 3, 45 is divisible by 3.
Add the digits of 567. 5+6+7 = 18. Since 18 is divisible by 3, 567 is divisible by 3.

Now we divide the numerator and denominator by 3.

45/3 = 15
567/3 = 189

We have this now:

45/567 = 15/189

We need to try to reduce it more.

15 is divisible by 3 and 5.
189 is divisible by 3.

15/3 = 5
189/3 = 63

45/567 = 15/189 = 5/63

5 is prime and divisible only by 1 and 5.
63 is not divisible by 5.
The fraction cannot be reduced any more.

Answer: 5/63

If PQ bisects CX at point J, and if JX = 4y and CJ = y+9 find y

Answers

since PQ bisects CX at point J, JX=CJ

4y=y+9
-y   -y
3y=9
divide by 3
y=3
Final answer:

By setting the given equations equal to each other (JX = CJ), we can create a new equation (4y = y +9). This equation simplifies to 3y = 9, giving a solution of y = 3.

Explanation:

The problem you're facing deals with bisecting line segments, which is a topic under Geometry. Remember, if a segment bisects another, that means it divides the second segment into two equal parts. In this case, PQ bisects CX at point J, so JX = CJ.

We're also given that JX = 4y and CJ = y + 9. Because JX = CJ, we can set the two equations equal to each other and solve for y:

4y = y + 9

By subtracting y from both sides, we get

3y = 9

Finally, by dividing both sides by 3, we solve for y, which is 3

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Why, if two wrongs don't make a right, do two negatives make a positive in mathematics?

Answers

So, we can’t directly compare wrong with that of negative. Let me give an example. Let’s just think of Terrorism. Do you think there are positive and negative sides of terrorism? Mostly the answer would be no. There is no such things as positive and negative when we think of terrorism. But here we can directly say that Terrorism is always wrong whenever and wherever we talk about it.

I think now I have cleared your doubts about difference between wrong and negative. That’s why we can never say that two wrong can make a right. I hoped this helped!!

Final answer:

In mathematics, two negatives make a positive due to the rules of multiplication and addition. This rule is a fundamental property of mathematics and is consistent across various mathematical operations and contexts.

Explanation:

In mathematics, two negatives make a positive due to the rules of multiplication and addition. When two negatives are multiplied, the negative signs cancel each other out and result in a positive product. For example, (-4) x (-3) = 12, where both numbers are negative but the product is positive.

The same concept applies to addition as well. When two negative numbers are added, the negative signs combine and result in a negative sum. However, when two negative numbers are multiplied, the negative signs cancel out and produce a positive product.

It's important to note that this rule is a fundamental property of mathematics and is consistent across various mathematical operations and contexts.

a family pays $19 each month for internet access. next mont, the cost will increase by 5% because of the equipment fee. After this increase, what will be the cost for the internet

Answers

19 x .05 = .95
So the cost would be $19.95

The cost for the internet after an increase is $19.95.

Given that,

The family pays $19 each month. And, the cost should be increased by 5%.

Based on the above information, the cost for the internet after an increase is

= $19 + 5% of $19

= $19 + $0.95

= $19.95

Therefore we can conclude that the cost for the internet after an increase is $19.95.

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Xy has endpoints at x(2,-3) and y(-1,2). What is the length of xy

Answers

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) X&({{ 2}}\quad ,&{{ -3}})\quad % (c,d) Y&({{ -1}}\quad ,&{{2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ XY=\sqrt{[-1-2]^2+[2-(-3)]^2}\implies XY=\sqrt{(-1-2)^2+(2+3)^2} \\\\\\ XY=\sqrt{(-3)^2+5^2}\implies XY=\sqrt{34}[/tex]

How do u you a irrantional number from a rational number?

Answers

Rational numbers are numbers that can be written as a ratio. That means that it can be written as a fraction. All whole numbers are rational.

Irrational numbers can be written as a decimal but not as a fraction.
[tex] "\pi. is  irrational
3 is rational, but     \sqrt{3}  is irrational.

John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John says that the solution is extraneous. Tim says the solution is non-extraneous. Is John correct? Is Tim correct? Are they both correct? Justify your response by solving this equation, explaining each step with complete sentences. (10 points)

Answers

The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
9x^2 - 24x + 16 = x
9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
3*(16/9) - 4 = sqrt(16/9)
48/9 - 4 = 4/3
16/3 - 4 = 4/3
16/3 - 12/3 = 4/3
(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

ALGEBRAAA

1. A square has the side measurement of s= 2 3/2,
Using the formula A=s^2, find the area of the square.

Answers

 2 3/2 =  3 1/2  ( 3/2 = 1 1/2 + 2 = 3 1/2)


so area = 3 1/2 ^2

3 1/2 x  3 1/2 = 12 1/4

Area = 12 1/4

A car travels at an average speed of 64 miles per hour. how many miles does it travel in 4 hours and 45 minutes?

Answers

Final answer:

The car travels 304 miles in 4 hours and 45 minutes at an average speed of 64 miles per hour.

Explanation:

To find the distance the car travels in 4 hours and 45 minutes, we need to convert the time to hours and minutes. There are 60 minutes in an hour, so 45 minutes is equal to 45/60 = 0.75 hours. Therefore, the total time is 4 + 0.75 = 4.75 hours.

To calculate the distance, we can use the formula:

Distance = Speed x Time

Given that the average speed is 64 miles per hour and the time is 4.75 hours, we can plug these values into the formula:

Distance = 64 mph x 4.75 hours = 304 miles.

What is the area of a triangle with vertices at (−4, 1) , ​ (−7, 5) ​ , and ​ (0, 1) ​ ? Enter your answer in the box. ___units²

Answers

check the picture below.

you can pretty much count those lengths off the grid.

recall that A = 1/2 bh.
Since area (a) of a triangle = 1/2 (b)*(h), our base will be the horizontal distance between (-4, 1) and (0, 1), which is just the absolute (positive) value of the difference between the x-values:
[tex] | - 4 - 0| = 4[/tex]
So b = 4 units
Now the height is the vertical distance from top to bottom, or the absolute value of the difference between y-values:
[tex] |5 - 1 | = 4[/tex]
So h = 4
Now a = 1/2 (b)(h) = 1/2 (4)(4) = 1/2 (16) = 8 units squared...
[tex]answer = 8 {units}^{2} [/tex]

What is the ratio 42 to 48 as a fraction in simplest form?

Answers

42/48 in simplest form is 7/8

1. What is the value of x in the triangle?
Enter your answer in the box. Round your final answer to the nearest hundredth.
x = cm

2. What are the values of the trigonometric ratios for this triangle?
Drag the answer into the box to match each ratio.
sinθ-----
cosθ-----
tanθ-----
OPTIONS YOU CAN DRAG
5/4
3/4
3/5
4/3
4/5
5/3

3. What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
x = °

4. What is the value of θ for the acute angle in a right triangle?
sin(θ)=cos(58°)
Enter your answer in the box.
θ= °

5. A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor is 55°.
What is the height of each pole?
Enter your answer in the box. Round only your final answer to the nearest tenth.

6. What is the exact value of sin 60° ?
Enter your answer, as a simplified fraction, in the box.

Answers

Problem 1

cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78

Answer: x = 23.78

=====================================================

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse
sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5

tan(theta) = opposite/adjacent
tan(theta) = 3/4

---------------------------

In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4

=====================================================

Problem 3

cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85

Answer: x = 58.85

=====================================================

Problem 4

The rule we'll use is
sin(x) = cos(90-x)

sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32

Answer: 32

=====================================================

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5

Each pole is roughly 20.5 feet tall.

=====================================================

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as [tex]\frac{\sqrt{3}}{2}[/tex]

"sqrt" is shorhand for "square root"

Answer: Took the test correct :)

Step-by-step explanation:Problem 1

cos(angle) = adjacent/hypotenuse

cos(18) = x/25

25*cos(18) = x

x = 25*cos(18)

x = 23.7764129073789

x = 23.78

Answer: x = 23.78

=====================================================

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse

sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse

cos(theta) = 4/5

tan(theta) = opposite/adjacent

tan(theta) = 3/4

---------------------------

In summary:

sin(theta) = 3/5

cos(theta) = 4/5

tan(theta) = 3/4

=====================================================

Problem 3

cos(angle) = adjacent/hypotenuse

cos(x) = 15/29

x = arccos(15/29) .... inverse cosine or cos^(-1) also works

x = 58.852610078491

x = 58.85

Answer: x = 58.85

=====================================================

Problem 4

The rule we'll use is

sin(x) = cos(90-x)

sin(theta) = cos(90-theta)

cos(90-theta) = cos(58)

90 - theta = 58

90 - theta+theta = 58+theta

90 = 58+theta

90-58 = 58+theta-58

32 = theta

theta = 32

Answer: 32

=====================================================

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse

sin(55) = x/25

25*sin(55) = x

x = 25*sin(55)

x = 20.4788011072248

x = 20.5

Each pole is roughly 20.5 feet tall.

=====================================================

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}

"sqrt" is shorhand for "square root"

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multiply 2/7 with its additive inverse

Answers

To find the additive inverse, multiply 2/7 by -1.

Answer: -2/7.

Why is the answer -2/7?

When you add 2/7 + (-2/7) the answer will be 0.

This is why -2/7 is the additive inverse.

Which of these statements about the two triangles is true?

There is not enough information to determine whether the triangles are congruent or not congruent.


The triangles are congruent by the SAS Congruence Postulate.


The triangles are not congruent.


Answers

because the given angle in the 2 triangles are different, and the length of the hypotenuse is different,  they are not congruent
The Triangles are not congruent because 1) the angles are not congruent, and 2) The hypotenuse is not congruent either
Therefore, the triangles are not congruent.

The answer is not "not enough information", because as long as you have 3 pieces of the triangle, 2 sides, 1 angle; 2 angles, 1 side; etc. You will be able to find the answer

hope this helps

A: What is the real part of the complex number? B: What is the imaginary part of the complex number? Select one answer for part A, and select one answer for part B. A: i B: 3 A: 3 A: 2i B: i B: 2i B: 2 A: 2

Answers

real part contain number and imaginary part contain i.
it is b. hope this hope this helps

A manufacturer wants to design an open-top box having a square base and a surface area of 120 square inches. what dimensions will provide a box with maximum volume?

Answers

The dimensions √30 inches square and 4 inches high will provide a box with maximum volume.

What are maxima and minima?

The Maxima and minima of a function are the extremes within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

It is given that:

A manufacturer wants to design an open-top box having a square base and a surface area of 120 square inches.

Let's suppose x is the base edge length and h is the box height.

x² + 4xh = 120

 

h = (120 - x²)/(4x)

h = 30/x - x/4

Volume = x²(30/x - x/4) = 30x - x³/4

dV/dx = 0

30 - x² = 0

x = √30

h = 120/x² = 120/30 = 4 inches

The box is √30 inches square and 4 inches high.

Thus, the dimensions √30 inches square and 4 inches high will provide a box with maximum volume.

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