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BartSMP [9]
3 years ago
8

Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
A² = b² + c² - 2bc cosA
a² = 10² + 14² - 2*10*14 cos54
a² = 100 + 196 - 280 * cos54
a = \sqrt{100 + 196 - 280 * cos54}
a = 11.46

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A radioactive substance decays at a rate of 25% every 10 years. Which equation represents the amount of the substance (S) remain
Lelechka [254]

Answer:

y = 100 * (0.75)^{30

Step-by-step explanation:

Given

a =100 --- Initial Amount

r= 25\% every 10 years

Required

The remaining amount after 300 years

To do this, we make use of:

y = a(1 - r)^T

Where

r = decay rate

T = the period of decay

In 300 years, there are 30 periods of 10 years.

i.e.

T = \frac{300}{10}

T = 30

y = a(1 - r)^T

y = 100 * (1 - 25\%)^{30

y = 100 * (1 - 0.25)^{30

y = 100 * (0.75)^{30

3 0
3 years ago
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balu736 [363]

Answer:

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Step-by-step explanation:

For example, we'll use this quadratic equation.

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To understand how to plug it into the formula we need to know what each term represents.

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6 0
3 years ago
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telo118 [61]

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Step-by-step explanation:

7 0
3 years ago
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inna [77]

Answer:

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Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A submarine's position is 600 feet below sea level. It descends 218 feet. What is the submarine's new elevation?
ollegr [7]

Answer with explanation:

If Submarine position is 600 feet below sea level, it can be represented in terms of integers as = - 600

Now , it descends 218 feet ,from where it is presently Located.

Descend in terms of integers can be represented as = - 218 feet

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Option A : -818 feet

6 0
3 years ago
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