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3 years ago

The three sides of a triangle are 4cm, 6cm and 8cm.

Mathematics

1 answer:

yarga [219]3 years ago

6 0

Answer:

In bold below.

Step-by-step explanation:

(a) The largest angle is opposite the largest side.

So by the Cosine Rule:

8^2 = 4^2 + 6^2 - 2*4*6 cos x

cos x = (8^2 - 4^2 - 6^2) / (-2*4* 6)

= -0.25.

x = 104.48 degrees.

(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48

= 11.62

= 3 √15.

Area = 1/2 * altitude * base

3√15 = 1/2 * 8 * a

a = 3√15 / 4 cm

= 0.75√15 cm.

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kolezko [41]

Answer:

$x = 4 \\ z = 106$

Step-by-step explanation:

$(5x + 86) + (10x + 34) = 180 \\ 15x + 120 = 180 \\ 15x = 180 - 120 \\ 15x = 60 \\ \\ x = \frac{60}{15} \\ \\ x = 4$

$(5x + 86) = 5(4) + 86 = 20 - 86 = 106$

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2 years ago

By what percent would the area of the rectangle change if the width of the rectangle is increased by 50% and the length is incre

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Answer:

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2 years ago

Make a table for the following equations y = 2x + 4

nekit [7.7K]

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If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.

Here are some samples, feel free to make more if you need to:

$f(x)=2x+4\implies f(0)=2\cdot 0 + 4 = 4$

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$f(x)=2x+4\implies f(4)=2\cdot 4 + 4 = 12$

So, we have the following table

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3 years ago

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3 years ago

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Marizza181 [45]

Answer:

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1 year ago