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Ad libitum [116K]
2 years ago
14

The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necess

ary, round to the nearest tenth.
Mathematics
1 answer:
hodyreva [135]2 years ago
4 0

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

<h3>What is the Pythagorean Theorem?</h3>

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

  • c = 4 cm
  • a = 3 cm
  • b = ? (other leg)

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

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Represent the geometric series using the explicit formula.
Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

7 0
3 years ago
Suppose that for a certain company ​C(x)=35x+300,000 represents the total cost​ function, and ​R(x)=75x represents the total rev
enyata [817]

Answer:

40x - 300,000

7,500

Step-by-step explanation:

profit  = revenue - cost

p(x) = 75x - (35x + 300,000)

p(x) = 40x - 300,000

Break even is when profit is zero

40x - 300,000 = 0

40x = 300,000

x = 7,500

4 0
3 years ago
A man has 1020304 eggs some of the eggs were spoiled he divided remaining eggs equally among 348 people how many eggs were spoil
beks73 [17]

Answer:

316 eggs were spoiled.

Step-by-step explanation:

1020304 / 348 = 2931 remainder 316.

6 0
3 years ago
Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends.
Korolek [52]

Answer: 5 pack

Step-by-step explanation:

From the question, we are informed that Sebastian bought a 30-pack of mechanical pencils and plans to give his friends an equal number of pencils to the 6 friends.

Therefore, each friend will get:

= 30 / 6

= 5 packs

4 0
3 years ago
Read 2 more answers
Please help (if you can’t it’s okay) :&gt;
IrinaVladis [17]

Answer:

the answer is 11%

Step-by-step explanation:

this is because

27/30x100=90

which is 90

but the difference between 100 and 90 is 10

so its 10% but its closer to 11%

so yeah

i am not sure if its correct

3 0
3 years ago
Read 2 more answers
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