Find the missing length of the figure.

Answers

Answer 1

Answer: $a^(2) + b^(2) = c^(2)$

4) $16^(2) +63^(2) =4225 = c^(2)$
$c= √(4225)$

Missing length= $65cm$

5) $13 ^(2)- 5^(2) =144$
$b= √(144)=12$
$12 ^(2)+35 ^(2)=1369$
c= $√(1369)$

Missing length = $37cm$

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It takes Mr. Been 90 seconds to walk up an escalator when it is not moving. It takes Mr. Been 60 seconds to go up, just standing when the same escalator is moving. How many seconds does it take Mr. Been to walk up the moving escalator?

Answers

As per the unitary method, it will take Mr. Bean 120 seconds to walk up the moving escalator.

We can represent this situation as follows:

Time taken to walk up the escalator when not moving = 90 seconds

Distance covered = B * 90

When the escalator is moving, Mr. Bean's effective speed while walking up will be the sum of his walking speed "B" and the speed of the escalator "E." Therefore, he will take 60 seconds to cover the same distance while just standing.

We can represent this situation as follows:

Time taken to go up the escalator while standing = 60 seconds

Distance covered = (B + E) * 60

Now, to find how long it takes Mr. Bean to walk up the moving escalator, we need to find the time it takes for him to cover the same distance as before when it was not moving.

Equating the distances covered in both cases:

B * 90 = (B + E) * 60

Now, let's solve for "E":

90B = 60B + 60E

30B = 60E

E = 30B / 60

E = 0.5B

So, the speed of the escalator "E" is 0.5 times Mr. Bean's walking speed "B."

To know more about unitary method here

brainly.com/question/28276953

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I think it would take an average of both the numbers so first find the average of 60 and 90 by adding and dividing by two. You will get 75 seconds. That is the answer

Could you please help me :) Solve 2x^2 = 128.

Answers

$2x^2=128\ \ \ \ /:2\n\n2x^2:2=128:2\n\nx^2=64\n\nx=\pm√(64)\n\nx=-8\ or\ x=8$

the length of a rectangle is 5cm greater than the width. the area of the rectangle is 84cm squared. find the length and width

Answers

Answer:

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

Step-by-step explanation:

Let the Width of rectangle be 'x' cm.

Then the length of a rectangle will be (x + 5) cm.

Area of rectangle given is 84 cm squared.

To Find:

Length = (x+5) = ?

Width = x = ?

Solution:

We have area of rectangle given as

$\textrm{Area of Rectangle}=Length* Width$

Substituting the given values we get

$84=(x+5)x\nx^(2) +5x-84=0\n$

On factorizing we get

$x^(2) +12x-7x-84=0\nx(x+12)-7(x+12)=0\n(x+12)(x-7)=0\n(x+12)=0\ or\ (x-7)=0\nx=-12\ or\ x=7\n\therefore x =7\ cm\ \textrm{As x cannot be negative}$

Therefore,

$Length=x+5=7+5=12\ cm$

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 15 wood and 20 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

Answers

Probability Wood is 100/200 and the Probability defective would be 35/200

Probability for both would just be 15/200

(100+35-15)/200=(120/200)

Let me know If I'm right.

Marti's car has a sale price of $6,630. How much money does she pay after a $1,090 rebate

Answers

Answer:

Total cost =5540

Step-by-step explanation:

Total Cost = Sale price minus Rebate

We know the sale price =6630 and the rebate =1090

Substitute these values in

Total cost = 6630-1090

Total cost =5540

What is the value of 1 raised to the power of any exponent

Answers

Any exponent of 1 is simply 1 multiplying itself

For example: $1^(5)$ is 1×1×1×1×1

Anything multiplied by 1 is the same number started with and 1 is no exception

So 1 raised to the power of any exponent is 1

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