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3 years ago

11

A, B & C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded

to 1 DP.

1 answer:

adelina 88 [10]3 years ago

8 0

Answer:

13.9

Step-by-step explanation:

Use Pythagorean Theorem:

Both of the lengths given are the legs,

13.5^2 + 3.2^2 = c^2

182.25 + 10.24 = c^2

192.49 = c^2

13.87 = c

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yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

$sin^4(x) + cos^4(x)$

We can rewrite this as:

$(sin^2(x))^2 + (cos^2(x))^2$

Now we can add and subtract cos^2(x)*sin^2(x) to get:

$(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)$

We can complete squares to get:

$(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2$

and we know that:

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then:

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This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

$1 - \frac{sin^2(2*x)}{2}$

Then the simplification is:

$cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}$

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3 years ago

Brian invests £8300 into his bank account.

vekshin1

Answer:

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Step-by-step explanation:

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1 year ago

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2 years ago

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Tasya [4]

Answer:

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Step-by-step explanation:

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$y=mx+b$

M is the slope and b is the y-intercept.

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$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

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Add 20 to both sides and simplify:

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3 years ago

Read 2 more answers