Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2
The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2
5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
Answer:
Since, In Quadrilaterals KLMN and quadrilateral WXYZ,
Sides Kl, LM, MN and NK are corresponding to the sides WX, XY, YZ and ZW respectively.
Also, If two shapes are similar the ratio of their corresponding sides must be same are in same proportion,
Here, Quadrilateral KLMN is similar to quadrilateral WXYZ,
Therefore,
Which is the required proportion that must be true for the given figure.
Answer:
18
Step-by-step explanation:
90 x 0.2 = 18
The circumference formula is 2Πr, so simply equal that formula to 75.
2Πr=75
Divide both sides by 2
Πr=37.5
So radius is 37.5/Π.
