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3 years ago

Find the length of __ JK Round answer to nearest tenth.

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

Answer:

Step-by-step explanation:

We would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

JK² = JL² + KL² - 2(JL × KL)Cos10

JK² = 61² + 53² - 2(61 × 53)Cos10

JK² = 3721 + 2809 - 6466Cos10

JK² = 6530 - 6367.767

JK² = 162.233

Taking square root of both sides of the equation, it becomes

JK = √162.233

JK = 12.73 to the nearest tenth

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Evaluate without a calculator:

noname [10]

Answer:

240

Step-by-step explanation:

4 x -5 = -20

-20 x -12 = 240

240 is your answer

hope this helps!

4 0

2 years ago

A sample of tritium-3 decayed to 94.5% of its original amount after a year.

Zolol [24]

(a) If $y(t)$ is the mass after $t$ days and $y(0) = A$ then $y(t) = Ae^{kt}.$

$y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945$

$\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\ ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}$

(b)
$Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 28.45\text{ years}$

3 0

4 years ago

Please help! This is homework that’s due tomorrow and it’s the only problem I have left.

katrin [286]

Answer:

4 flights of stairs in 5 minutes

Step-by-step explanation:

8/10 times 5

3 0

3 years ago

An online video store charges $24 please help

mr Goodwill [35]

Answer:

B. 24d + 4; $76

Step-by-step explanation:

Part 1: If the online store charges $24 per DVD, this is the same as saying "24 multiplied by the number of DVDs bought".

It's given that "d" represents the number of DVDs

So the first part of the variable expression is: 24d

If the online store also charges an additional $4 per <em>order,</em> that means that it's only $4 extra for the whole order. NOT per DVD you buy.

Result: 24d + 4

Part 2: If someone were to buy 3 DVDs, that would mean that d = 3.

To find the total cost, substitute 3 for d into the expression.

24d + 4
24(3) + 4
72 + 4 = 76
Result: $76

4 0

3 years ago

If a biker travels 20 miles in 1 hour how many minutes does it take per miled traveled

Zielflug [23.3K]

1 hour = 60

60min/20miles=3

3 minutes per mile

8 0

3 years ago