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3 years ago

In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________

Mathematics

1 answer:

Fudgin [204]3 years ago

5 0

Answer:

90 degrees

Step-by-step explanation:

B is the corner and angle opposite of the side AC.

so, AC is becoming side c, and the other two are a and b (it does not matter which is which).

we use the enhanced Pythagoras formula for general triangles

c² = a² + b² - 2ab×cos(C)

in our example the angle C is named B.

but other than that we simply calculate

10² = 6² + 8² - 2×6×8×cos(B)

100 = 36 + 64 - 96×cos(B)

100 = 100 - 96×cos(B)

0 = -96×cos(B)

cos(B) = 0

B = 90 degrees

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Answer:

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Explanation:

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In 20% pa, pa means "per annum", i.e. "per year".

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3 years ago

In this figure m<3=130 What is m<6 ?

Georgia [21]

Answer: $m\angle6=50\°$

Step-by-step explanation:

You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.

The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).

Therefore, you know that:

$m\angle3+m\angle6=180\°$

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Marysya12 [62]

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The point (-7,4) is reflected over the line x=-3. Then the resulting point is reflected over the line y=x. Where is the point lo

Ne4ueva [31]

Answer:

(4, 1)

Step-by-step explanation:

Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

(-3, 4) = (A +A')/2

2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)

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A'' = (4, 1)