Answer:
HJ = 5.20
HI = 3
angle J = 30 degrees
Step-by-step explanation:
sin 60 = HJ/6
HJ = 5.20
cos 60 = HI/6
HI = 3
angle J = 90-60 = 30 degrees
Answer:
height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)
Step-by-step explanation:
We know that the volume of a rectangular prism is the product of its base area and height
Volume_prism = area_base * height
height = Volume_prism / area_base
Volume_prism = (x^3 – 3x^2 + 5x – 3)
area_base = (x^2 – 2)
height = Volume_prism / area_base
height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)
Please see attached image
Answer: 
Step-by-step explanation:
Simplify:
The length of AD is 75. Since opposite sides have the same length, 63 plus 63 is 126. The perimeter is 276, so 276 minus 126 is 150. 150 divided by 2 is 75.
Answer:
Measure of arc PQR is 190°
Step-by-step explanation:
First have a sketch of the quadrilateral PQRS inside a circle
You should notice that the intercepted angle is ∠PSR
You should remember that the intercepted arc PQR is twice the intercepted angle ∠PSR
Find the intercepted angle ∠PSR
Remember that in a quadrilateral opposite angles add up to 180°
Hence;
∠PQR+∠PSR=180°
85 + ∠PSR=180°
∠PSR=180°-85°=95°
Find arc PQR
Arc PQR =2×∠PSR
Arc PQR=2×95°
=190°
