Answer:
20
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 8 inches
Width = 5 inches
Height = 2 inches
Volume of rectanglular prism = length × width × height
= 8 inches * 5 inches * 2 inches
= 80 inches ³
Dimensions of another rectangular prism:
Length = 16 inches
Width = 10 inches
Height = 10 inches
Volume of rectangular prism B = length × width × height
= 16 inches * 10 inches * 10 inches
= 1,600 inches ³
Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A
= 1,600 inches ³ ÷ 80 inches ³
= 20
Number of prism A that fits into prism B = 20
Option D is the correct answer.
Answer:
D. ∠B and ∠C are congruent.
Step-by-step explanation:
Since, ∠A and ∠B are supplementary.
Therefore,
∠A + ∠B = 180°.....(1)
Since, ∠A and ∠C are supplementary.
Therefore,
∠A + ∠C = 180°.....(2)
From equations (1) & (2)
∠A + ∠B = ∠A + ∠C
=> ∠B = ∠C
Hence, ∠B and ∠C are congruent.
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
Then, you can substitute values:
The next step is to solve for DE in order to find its value. This is:
Finally, rounding the result to the nearest tenth, you get that this is:
We don't have a pic. We need one
