A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

Find the number of meters a speed skater and a cheetah travel in 1 second.

A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.

[tex]4x^2-9x = 2x^2 -2x -4\\\\\implies 4x^2 -9x -2x ^2 +2x +4 =0\\\\\implies 2x^2 -7x +4=0\\\\\text{Apply quadratic formula,}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case,} ~a =2, b = -7 ~ \text{and}~ c =4\\\\\\x =\dfrac{-(-7) \pm \sqrt{(-7)^2 - 4 \cdot 2 \cdot 4}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{17}}4\\\\\\\text{Hence,}~ x = \dfrac{7 +\sqrt{17}}4~ \text{and}~x = \dfrac{7 -\sqrt{17}}4[/tex]

Answer:

15.42 inches

Step-by-step explanation:

-formula : perimeter of semi circle= πr+2r

r=3 inch

π.3+2.3

=3π+6

Answer:

15.425 or 6+3π

Step-by-step explanation:

If the radius of the circle is 3 inches and the diameter is double the radius, we know the diameter is 6 inches. Then we find half of the perimeter of a circle with radius 3. The perimeter formula of a cirle is 2πr. Plugging in the radius we get: 2(3)π or 6π. Then we divide by 2 as it is a semicircle and get 3π or ≈9.425. We add 6 to this and we get the answer of 15.425 or 6+3π.

Answer:

180

Step-by-step explanation:

So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.

I hope this helps.

Answer:

180

Step-by-step explanation:

There is two ways you can do this. You can do:

20

x 9

180

This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.

The second way takes a lot longer, but it works. You could do:

20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.

Hope this helps.

Answer:

yes the two triangles are congruent by the SSS theorum.

Step-by-step explanation:

it is given that two of the sides are congruent. they also share a side making that side also congruent. so, all three sides are equal, making the two triangles congruent by SSS/side-side-side theorum.

Answer: Perpendicular

Explanation:

One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.

Answer:

Perpendicular lines

Step-by-step explanation:

Answer:

2(x + 3) <9

Step-by-step explanation:

Two times the quantity of a number increased by 3 is less than 9

       2  ·                                          (x + 3   )                           < 9    

     = 2(x + 3) <9

A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.

For a good financial management, the best decision to make profit or avoid loss is paramount.

The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.

The best option that may be available for the loan manager must be a request  for the customer to pay part of the loan and complete the payment in the next  pay day.

Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.

Learn more about options for loan payment here: https://brainly.com/question/12233464

Hi can you translate into English then I would be happy to help

[tex]\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}[/tex]

Answer:

132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft

Step-by-step explanation:

Answer:

20 ft

Step-by-step explanation:

12 inches = 1 foot

12 : 1 = 132 : y

[tex]\frac{132:y}{12:1}[/tex]

12 × y = 132 × 1

12y = 132

12y ÷ 12 = 132 ÷ 12

y = 11

11 ft

1 yard = 3 feet

1 : 3 = 3 : y

[tex]\frac{1:3}{3:y}[/tex]

1 × y = 3 × 3

1y = 9

y = 9

9 ft

11 ft + 9ft = 20 ft

Answer:

Step-by-step explanation:

With the amount x of portraits the daily balance is:

The total is:

Correct choices are A and C

With the amount x of portraits the daily balance is:

- $22.00

+ $15.50x

- $3.25x

15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00

Answer: 24

Step-by-step explanation

8-8-16-24-32-40

6-6-12-18-24-30-36

Answer:

The answer is 2x>0 is the final answer. The last one.

Step-by-step explanation:

It is greater.

Answer:

Two minutes for what???

Answer:

k/4+3=14

First you need to isolate the variable.

multiply both sides by 4

Answer:

LCM = 2^4 x 5^1 x 7^1 = 560

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation:

Answer:

$1155

Step-by-step explanation:

10% of the first $900 is $90.

The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.

Add them together to get $1155.

Answer : 3.50t + 12

Step - by - step explanation :

the reason why I think the answer is " 3.50t + 12 " is because . . . since the admission to the state farm is only ONCE - there doesn't need to be a variable there to tell us that it MIGHT repeat more than once.  and because we don't know how many ride ticket will be purchased - there is a variable there to tell us unknown.

Answer:

[tex] \frac{5 \sqrt{11} }{11} [/tex]

you are correct !!

Answer:

marked price=1400

discount=10%

VAt= 15%

selling price=?

Now

we know that,

sp= mp - discount%of mp

1400- 10% of 1400

1400 - 10÷100* 1400

1400

Answer:

1

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( -15 - -14) / ( -11 - (-10))

    = (-15+14) /(-11 + 10)

   = -1 / -1

   = 1

Answer:

The answer is 1

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]

         = [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]

         = [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]

         = [tex]\frac{5.21}{58.14}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )

Step-by-step explanation:

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Answer:

x=8

Step-by-step explanation:

x+x+5=x+x+x-3

2x+5=3x-3

Subtract 2x from both sides.

5=x-3

Add 3 to both sides.

8=x

-hope it helps

Answer:

Cosine Formula

Thus, the cosine of angle α in a right triangle is equal to the adjacent side's length divided by the hypotenuse. To solve cos, simply enter the length of the adjacent and hypotenuse and solve.

Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Recall:

Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.

The diagram given, showing triangle KLM is in the image attached below.

m∠MLK and m∠MON are corresponding angles, therefore:

m∠MLK =m∠MON

3 x + 75 = 93 − 3 x

3x + 3x = 93 - 75

6x = 18

x = 3

m∠MLK = 3 x + 75

m∠MLK = 3(3) + 75

m∠MLK = 84°

Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Learn more about the Corresponding Angles Theorem on:

https://brainly.com/question/5221905

Answer:

1.20 or 120 cents

Step-by-step explanation:

First, we need to calculate the total due for the book. 15 cents(3 days) = 0.45

Next, we need to calculate the total due for the video. 25 cents(3days) =0.75

0.75+0.45=1.2 dollars, or 120 cents