Smaller rectangular prism:
Width: 5in
Length: 7in
Height: 5in
V= WxLxH
V= 5x7x5
V= 175 in3
Bigger rectangular prism:
Width:11
Length:14
Height:7
V= WxLxH
V=11x14x7
V=1078 in3
ADD THEM ALL TOGETHER:
175 in3 +1078 in3= 1253i n3
Answer:
∠1 = 70°
Step-by-step explanation:
The three marked angles are vertical angles with the interior angles of a triangle. Vertical angles are congruent, hence the sum of the marked angles is 180°.
∠1 = 180° -60° -50° = 70°
We know that
the length of Q is 25% more than the length of p
so
length Q=1.25*40--------> 50 cm
the area of Q is 10% less than the area of p
Area Q=50*y
Area P=40*x
so
50*y=0.90*[40*x]---------> 50*y=36*x-------> x/y=50/36---> 25/18
the answer
the ratio x:y is 25:18
I like point point form because it doesn't fail in the no slope case. The line through (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
Point slope form is almost the same,
1. (a,b)=(4,0),(c,d)=(-2,1)
y - 0 = (1 - 0)/(-2 - 4) (x - 4)
Answer: y = (-1/6)(x-4)
2.
y - -2 = (3 - -2)/(5 - -3) (x - -3)
Answer: y + 2 = (5/8) (x+3)
3.
y - 1 = (4 - 1)/(3 - -5) (x - -5)
Answer: y - 1 = (3/8) (x+5)
2ways you can solve that is by multiplying 9 by 1 then by 5 or 9by 5 then by 1
