What is y=−7x+8 y=−7x−8
1 answer:
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Check the picture below.
so the <u>triangular prism</u> is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.
let's notice, the triangles have a base of 2.4 and a height/altitude of 1.
Answer:
m∠CAB = 66°
m∠CAD = 24°
Step-by-step explanation:
<em>m∠CAB</em>
The given parameters are;
The measure of arc m = 228°
The diameter of the given circle =
The tangent to the circle =
The measure of m∠CAB and m∠CAD = Required
By the tangent and chord circle theorem, we have;
m∠CAB = (1/2) × m
However, we have;
m + m
= 360° the sum of angles at the center of a circle is 360°
∴ m = 360° - m
Which gives;
m = 360° - 228° = 132°
m = 132°
Therefore;
m∠CAB = (1/2) × 132° = 66°
m∠CAB = 66°
<em>m∠CAD</em>
Given that is the diameter of the given circle, we have
The tangent, , is perpendicular to the radius of the circle, and therefore
is also perpendicular to the diameter of the circle
∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines
By angle addition property, we have;
m∠DAB = m∠CAB + m∠CAD
∴ m∠CAD = m∠DAB - m∠CAB
By substitution, we have;
m∠CAD = 90° - 66° = 24°
m∠CAD = 24°