Triangle ABC is isosceles. Angle ABC = 32º and AB = AC. Find angle BAC. Angle BAC =

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

Answer:

angle BAC = 116

Step-by-step explanation:

since the triangle is isosceles and AB and AC are congruent, that means angle ABC and angle ACB are the same by the isosceles triangle theorem. so you know angle ABC and angle ACB are 32 and all angles in a triangle equal to 180. so you find angle BAC subtracting both of the 32 angles from 180 and you should get 116

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Find the volume of the figure. Round to the nearest hundredth when necessary. I got 257.2288 I if this is correct, I am not sure

juin [17]

Volume of a cylinder = Area of the base x height

= pi*r^2 * h

= 3.14* 3.2^2*8

= 3.14*10.24*8

= 257.23 km^3

We got the same result, you just need to round to the nearest hundred.

pi = 3.14

r = 3.2 km

h = 8 km

3 0

1 year ago

What is the approximate length of arc s on the circle below? Use 3.14 for

ryzh [129]

The length of arc is 69.1 feet

Solution:

The length of arc when angle given in degrees is given as:

$Arc\ length = \frac{ \theta }{360} \times 2 \pi r$

Where,

r is the radius

$\theta$ is the central angle in degrees

From given,

$r = 12\ feet\\\\\theta = 330^{\circ}$

Substituting the values we get,

$Arc\ length = \frac{ 330 }{360} \times 2 \times 3.14 \times 12\\\\Arc\ length = \frac{ 330 }{360} \times 6.28 \times 12\\\\Arc\ length = 69.08 \approx 69.1$