Answer:
it is congruent
Step-by-step explanation:
Answer:
350.82
Step-by-step explanation:
To find the surface area, you must add up all of the areas of each shape of the prism in order to get the sum surface area.
The rectangle's area (
):
The triangle's area (
):
Now add up all the sides. (3 Rectangles, 2 Triangles.)
The total surface area is 350.82 cm squared.
x is case of almonds and y is case of walnuts.
Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.
H-E-B orders no more than 200 bags of almonds and walnuts at a time.
So,
x + y < 200
where x and y refers to the number of bags
=======================================================
H-E-B pays $24 per case of almonds and $27 per case of walnuts, but will not order more than $300 total at any one time.
But keep in mind that : Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.
So,
24 * (x/15) + 27 * (y/17) < 300
===========================================================
The constraints are:
x + y < 200
(24/15) x + (27/17) y < 300
So, the graph of the previous constraints is as following :
Answer:
B. 0.69
Step-by-step explanation:
Law of Cosines: cos A = (b² + c² - a²) / 2bc
cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69
