What is the expression in factored form x2 + 14x + 48
2 answers:
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The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = = 35°
m∠8 = m∠9 = = 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°