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luda_lava [24]
3 years ago
10

Select the correct answer

Mathematics
2 answers:
slavikrds [6]3 years ago
8 0

Answer:

1/5

Step-by-step explanation:

a

Citrus2011 [14]3 years ago
3 0

Answer:

1/5 start with A

Step-by-step explanation: 5*5=25 possible combos 5 of which will be starting with A. 5/25 can be simplified to 1/5

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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
-3 x - 5 = 36. What is X?
Black_prince [1.1K]

Answer:

x = -13,67

Step-by-step explanation:

-3x - 5 = 36

-3x = 36 + 5

-3x = 41

x = 41/-3

x = -13 2/3

or

x = -13,67

make as the brainliest

7 0
3 years ago
What is the distributative answer to 85 divided by 5 answer
andrew11 [14]
85/5
(50+35)/5
50/5 + 35/5
10+7=17
6 0
3 years ago
The population of a small town can be modeled by the equation where t is the number of years since the collection of the populat
liberstina [14]

The true statements is the population was 4800 when the collection of data began. (3rd option)

<h3>What is an exponential function?</h3>

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = e^{x}

Where:

  • x = the variable
  • e = constant

When a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.

The exponential equation used to represent an exponential growth usually have this form:

FV = PV (1 + r)^n

Where:

  • FV = future population
  • PV = present population
  • r = rate of growth
  • n = number of years

Given this exponential equation : f(x) = 4800 (1.02)^t

  • 4800 = initial population or population when the data collection began
  • 2 % = rate of growth
  • t = number of years

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

7 0
1 year ago
Choose the answer that gives both the correct solution and the correct graph.
Anna007 [38]

Answer:

A is the correct answer

have a nice day

8 0
2 years ago
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