Answer:
Step-by-step explanation:
The Pythagorean theorem is sqrt(a^2 + b^ 2) = c, so:
sqrt(22^2 + 8^2) = c
sqrt(548) = c
23.41 = c
Answer:
<h3>x = -2</h3>
Step-by-step explanation:
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Collect like terms
Add similar elements
Step-by-step explanation:
B = area of the base
= 9×4 = 36 square inches
P= perimeter of the base
= 2(9+4)
=2×13= 26 inches
H =distance between the bases
= 16 inches
SA= 2B+PH
= 2(36)+ 26× 16
= 72+416 = 488 square inches
Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
