Answer:
Semicircle = 
semicircle = 
semicircle = 51.4
∴ the perimeter is 14 + 32 + 51.4
∴ The perimeter is 97.4 cm
Area 1 = 
Area 1 = 20 ÷ 2 = 10
Area 1 = 
Area 1 = 314.2
Area 2 = 14 × 32 = 448
Area = Area 1 + Area 2
Area = 762.2cm²
Step-by-step explanation:
Answer: a. 0.1031; fail to reject the null hypothesis
Step-by-step explanation:
Given: Significance level : 
The test statistic in a two-tailed test is z = -1.63.
The P-value for two-tailed test : 
[By p-value table]
Since, 0.1031 > 0.05
i.e. p-value > 
So, we fail to reject the null hypothesis. [When p< then we reject null hypothesis ]
So, the correct option is a. 0.1031; fail to reject the null hypothesis.
Answer:
Step-by-step explanation:
Since a complimentary angle is two angles who add to 90 degrees the you just ubtract 32 from 90
90-32=58
so 58 is the complimentary
Angle A = 130° and Angle B = 110°
Solution:
Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°
If ABCD is a trapezoid, then AB is parallel to CD.
AD is a transversal to AB and CD and
BC is a tranversal to AB ad CD.
Sum of the interior angles on the same side are supplementary.
∠A + ∠D = 180°
⇒ ∠A + 50° = 180°
Subtract 50° on both sides to equal the expression.
⇒ ∠A = 180° – 50°
⇒ ∠A = 130°
Similary, ∠B + ∠C = 180°
⇒ ∠B + 70° = 180°
Subtract 50° on both sides to equal the expression.
⇒ ∠B = 180° – 70°
⇒ ∠B = 110°
Hence, angle A = 130° and angle B = 110°.
Answer:
b
Step-by-step explanation:
