Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
10.…….……......................
Answer:
Volume = 12
Step-by-step explanation:
The degree of the polynomial is 2.
to find the degree, put the polynomial in descending order with the highest exponents in front. the highest exponent is the degree.
3x^6 - 4 (highest exponent here is 6, degree would be 6)
1)
=> <span>m∠2 = 2x +13
=> </span><span><span>m∠1 = </span> 4x - 1
Since YP angle bisector the angles with be equal to each other,
</span>
m∠1 = <span>m∠2
2x + 13 = 4x - 1
2x - 4x = -1 -13
-2x = -14
x = 7
</span>
All other questions are to be done in that way, don't be lazy :P
