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3 years ago

Two sides of a right triangle measure 7 units and 3 units.

Mathematics

1 answer:

weeeeeb [17]3 years ago

6 0

Answer:

20 units squared

Step-by-step explanation:

Use pythagorean theorem to find third side of triangle

${2}^{2} + 4 {}^{2} = {x}^{2}$

$4 + 16 = {20}$

Take the sqr root of 20

$\sqrt{20}$

So the side of the square is sqr root of 20

Area is length x width

The area of a square is 2 times s, where s is the length of one side since a square sides are all equal.

$\sqrt{20} \times \sqrt{20 } = 20$

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Brooks built two similar wooden chests in the shape of rectangular prisms. She used 16 pints of paint to cover the outside of th

Anika [276]

The choices for this question is found elsewhere and as follows:

<span>A. 16/9 B. 4/3 C. 32/9 D. 64/27
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From the choices, i think the correct answer from the choices listed above is option B since from the situation you are reducing the ratio. Hope this answers the question.

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3 years ago

2. In the diagram below, set I represents rational numbers, set II represents integers, and set III represents whole numbers. Sh

MrRa [10]

The information about the rational numbers and integers shows that the correct option is C.

<h3>How to explain the information?</h3>

It should be noted that rational numbers are numbers where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.

Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.

Of the four answer choices, only choice C is correct.

Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.

Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.

Therefore, the correct option is C.

Learn more about integers on:

brainly.com/question/17695139

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2 years ago

A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte

kotykmax [81]

Answer:

P(t) = 400×2^(t/2)
6400
5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

(initial population) = 400

(growth factor) = 800/400 = 2

(growth period) = 2 . . . . hours

So, our population function can be written as ...

P(t) = 400×2^(t/2)

2) Putting t=8 into the formula, we get ...

P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

3) Fill in the given number and solve for t.

2270 = 400×2^(t/2)

2270/400 = 2^(t/2)

Taking logs, we have ...

log(227/40) = (t/2)log(2)

t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

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4 years ago

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Valentin [98]

Answer: x = 29.

Step-by-step explanation: Step 1: Simplify both sides of the equation.

x−6=23

Step 2: Add 6 to both sides.

x−6+6=23+6

x=29

Consider marking this answer as brainliest if it helped.

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