Answer:
See below ~
Step-by-step explanation:
<u>3a : Area of the triangle</u>
- A = 1/2bh
- A = 1/2 x 10 x 8
- A = 5 x 8
- A = <u>40 m²</u>
<u>3b : Area of the semicircle</u>
- Finding the radius (equal to 1/2 of the triangle hypotenuse)
- Apply Pythagorean Theorem here
- √8² + 10² = d
- √64 + 100 = d
- d = √164
- d = 2√41
- r = √41
- A = πr²/2
- A = 3.14 x (√41)² / 2
- A = 1.57 x 41
- A = <u>64.4 m²</u> (nearest tenth)
Answer:
(12.1409, 14.0591
Step-by-step explanation:
Given that Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial transport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known.
Group Group One Group Two
Mean 87.600 74.500
SD 1.000 1.500
SEM 0.316 0.433
N 10 12
The mean of Group One minus Group Two equals 13.100
standard error of difference = 0.556
90% confidence interval of this difference:

t = 23.5520
df = 20
The property that justifies this statement is the Symmetric Property of Congruence.
<h3>What is symmetric property of Congruence?</h3>
The symmetric property of congruence states that If an angle is congruent to another angle, then the second angle is also congruent to the first angle.
A congruent geometric shapes are shapes having the same size and shape, or matching in size and shape and their corresponding angles are equal to each other.
If shape A is congruent to shape B and A= B , then B = A
Similarly,
If angle DEF is equal to angle HJK, then with the law of symmetry property of angle HJk is equal to angle DEF.
learn more about symmetric property of
Congruence from
brainly.com/question/8762236
#SPJ1
Answer: B {1/16 ,16}
Step-by-step explanation:
Answer:
The value of Sin 45 degree in decimal form is 0.7071067812. Sin 45 degree in decimal form is 0.7071067812. Sin is one of the most important functions in trigonometry as it is used to find out the unknown values of the angles and length of the sides of a right-angle triangle.
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