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valina [46]
4 years ago
9

0.142857 rounded to the nearest tenth

Mathematics
2 answers:
eimsori [14]4 years ago
7 0

0.142857 rounded to the nearest tenth is 0.1

artcher [175]4 years ago
3 0

Answer:

0.1

Step-by-step explanation:

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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
3 years ago
211 minus 87.4 decimal subtraction
Pavlova-9 [17]

<u>211 - 87.40</u> equals 123.60.

To see if your answer is correct just <u>add 123.60 and 87.40 together</u>.

3 0
4 years ago
Read 2 more answers
Your boss gave you a raise. Your weekly salary went from $375 to $450. What was your percent raise?
Yuri [45]
<span>1. Find the difference
2. Divide the difference by the original number it went up from.
</span>
450-375 = 75

75/375 = 0.2

You got a 20% raise.

Proof:
375*.2 = 75
375+75 = 450
3 0
3 years ago
Which of the following correctly expresses sin (70) + sin(30) as a product?
JulsSmile [24]

Answer:

2sin50 cos20

Step-by-step explanation:

We need to write sin (70) + sin(30) as a product. The formula used here is :

\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})

Here, A = 70 and B = 30

So,

\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20

So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is  (c).

7 0
4 years ago
What is the hypotenuse of a triangle
Reil [10]
When it's a right triangle, its the long piece that isn't a part of the legs of the right angle.

5 0
3 years ago
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