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3 years ago

Find the length of the unknown side. 25 cm 15 cm

Mathematics

1 answer:

AleksandrR [38]3 years ago

3 0

Answer:

b = 20 cm.

Step-by-step explanation:

Define and explain:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

Solve:

$a^2+b^2=c^2$

$a,b-legs$

$c-hypotenuse$

$15^2+b^2=25^2$

$225+b^2=625$

$625-225=400$

$b^2=400$

$b=20$

Conclude:

Therefore, the length of the unknown side is 20 centimeters.

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The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?

makkiz [27]

Answer:

$L_o= 1500 cm$

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

$L_f = L_o (1-0.2)^t$

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

$L_f = 1500cm(0.8)^2 = 960cm$

Step-by-step explanation:

For this case we know that the initial volume of water is:

$L_o= 1500 cm$

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

$L_f = L_o (1-0.2)^t$

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

$L_f = 1500cm(0.8)^2 = 960cm$

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3 years ago

Help please will give brainlist

e-lub [12.9K]

Answer:

$71.88

Step-by-step explanation:

subtract 20 percent from 29.95

20 of 29.95 is 5.99

29.95 - 5.99 = 23.96

3 ink cartridges are needed so

23.96 × 3 = 71.88

3 0

2 years ago

Read 2 more answers

I think the first answer is x > 4, but I'm not sure, I need help with that. I don't know if there even is a second answer or

STALIN [3.7K]

Hi again!

|2x - 3| - 1 > 4

|2x -3| > 4 + 1

|2x -3| > 5

Now let's solve the absolute value

We know either 2x -3 >5 or 2x -3<-5

Let's solve the first possibility

2x - 3 > 5

2x > 5+ 3

2x > 8

x > 8/2

x> 4

Now solve the second possibility

2x - 3 < -5

2x < -5 + 3

2x < -2

x < -2/2

x< -1

Thus the correct answer is x > 4 or x < -1

I used an online graphing calculator

I hope this helps again!

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3 years ago

Find the sample space for the experiment.

Advocard [28]

Answer:

S ={(1+1=2), (1+2=3), (1+3=4), (1+4=5), (1+5=6), (1+6=7),

(2+1=3), (2+2=4),(2+3=5),(2+4=6),(2+5=7),(2+6=8),

(3+1=4), (3+2=5),(3+3=6),(3+4=7),(3+5=8),(3+6=9),

(4+1=5), (4+2=6),(4+3=7),(4+4=8),(4+5=9),(4+6=10),

(5+1=6), (5+2=7),(5+3=8),(5+4=9),(5+5=10),(5+6=11),

(6+1=7), (6+2=8),(6+3=9),(6+4=10),(6+5=11),(6+6=12)}

Step-by-step explanation:

By definition the sample space of an experiment "is the set of all possible outcomes or results of that experiment".

For the case described here: "Toss a six-sided die twice and record the sum of the results".

Assuming that we have a six sided die with possible values {1,2,3,4,5,6}

The sampling space denoted by S and is given by:

S ={(1+1=2), (1+2=3), (1+3=4), (1+4=5), (1+5=6), (1+6=7),

(2+1=3), (2+2=4),(2+3=5),(2+4=6),(2+5=7),(2+6=8),

(3+1=4), (3+2=5),(3+3=6),(3+4=7),(3+5=8),(3+6=9),

(4+1=5), (4+2=6),(4+3=7),(4+4=8),(4+5=9),(4+6=10),

(5+1=6), (5+2=7),(5+3=8),(5+4=9),(5+5=10),(5+6=11),

(6+1=7), (6+2=8),(6+3=9),(6+4=10),(6+5=11),(6+6=12)}

The possible values for the sum are 2,3,4,5,6,7,8,9,10,11,12

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3 years ago

It is a Right angle. how much is each angle?

Leni [432]

Answer:

90* angle

explaniation

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3 years ago

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