Answer:
AB = 27.2
BC = 33.5
AC = 50.4
∠A = 38°
∠ABC = 112°
Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)













The interior angles of a triangle sum to 180°
⇒ ∠A + 52° + 90° = 180°
⇒ ∠A = 180° - 90° - 52°
⇒ ∠A = 38°
⇒ ∠ABC + 38° + 30° = 180°
⇒ ∠ABC = 180° - 38° - 30°
⇒ ∠ABC = 112°
**I have checked the measures using a graphing programme - see attached**
Answer:
Hello a value is missing in your question below is the value
samples of n = 10
answer : 24.63 < μ < 25.370
Step-by-step explanation:
Given :
Sample size = n = 10
Z∝/2 = Z0.0256 = 1.95
next calculate for margin of error
E = Z∝/2 * ( 0.6 / /
)
= 0.370
therefore at 94.87% confidence interval the estimated population mean is
x - 0.370 < μ < x + 0.370
25 - 0.370 < μ < 25 + 0.370
24.63 < μ < 25.370
Answer:
<h2>174ft²</h2>
Step-by-step explanation:
Area of a Rectangle = L x W
L = 8
W = 6.5
Area of a Rectangle = 8 x 6.5 = 52
Surface Area = Area of a Rectangle x Number of Rectangles
Surface Area = 52 x 2 = 104
Area of a Rectangle = L x W
L = 8
W = 5
Area of a Rectangle = 8 x 5 = 40
Surface Area = Area of a Rectangle x Number of Rectangles
Surface Area = 40 x 1 = 40
Area of a Triangle = B x H x 1/2
B = 5
H= 6
Area of a Triangle = 5 x 6 x 1/2 = 15
Surface Area = Area of a Triangle x Number of Triangles
Surface Area = 15 x 2 = 30
Surface Area = Sum of Surface Areas =
104 + 40 + 30 = 174ft²
<span>4n − 3
4 × 5 -3 = 17
</span>