2 years ago

What is the measure of angle A

Mathematics

1 answer:

stellarik [79]2 years ago

4 0

Answer:

The angle of A is 80°

Step-by-step explanation:

Given that angle A lies on a straight line which is 180°. So in order to find A, you have to substract 100° from 180° :

∠A + 100° = 180°

∠A = 180° - 100°

∠A = 80°

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The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³