Step-by-step explanation:
2( l + w ) = perimeter of triangle
P = 2( 10+8 )
p= 2(18)
p= 36cm
Circle = pie (r) + d. recall d = 2r
P= 3.142 (4) + 8
P= 20.57~
so therefore= , 36 + 2(20.57)= 77.14cm ~ to the nearest tenths
As you know
csc x = 1/sin x
sec x =1/cos x
so, (1/sin x) / (1/cos) = 1/sin x * cos x =
cos x / sin x = cot x
9514 1404 393
Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
<h3>(a) </h3>
The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
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<h3>(b) </h3>
∠CBA = (3x -20)° = (3·22 -20)° = 46°
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<h3>(c)</h3>
∠CAB = 2x° = 2(22)° = 44°
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<h3>(d)</h3>
The sum of a triangle's interior angles is 180°.
Answer:
Step-by-step explanation:
we have
we know that
Substitute the values in the expression
Answer:
x = 170 deg
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius of the circle at the point of tangency. That means that in quadrilateral AOBC, angles A and B are right angles and measure 90 deg.
The sum of the measures of the angles of an n-sided polygon is
(n - 2)180 deg
In this case, n = 4, so
(4 - 2)180 deg = 360 deg
m<A + m<O + m<B + m<C = 360
90 + x + 90 + 10 = 360
x + 190 = 360
x = 170
Answer: 170 deg
