Question 1:This is a 45-45-90 right triangle. If the leg length is
, then the hypotenuse length will be
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
.
Then, the longer leg will have a length of
.
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
Answer: Height of the water is 20 cm.
Step-by-step explanation:
Since we have given that
Base area = 100 square cm
volume of vase shaped like an octogonal prism = 2 liters
We need to find the height of water.
and 1 liter = 1000 cm³
2 liters = 2×1000 cm³
As we know the formula for "Volume":
Hence, height of the water is 20 cm.
Answer:
D.
Step-by-step explanation:
So the question is asking which set of inequalities and given point represent the graph. The point it gives is (-3,1) on the graph. That already narrows your choices down to B and D. Now, the easiest way to see the answer is look at the y axis. In the equation y=mx+b, b is the value on the y axis. We see on the y axis that the equations pass through positive 1 and 2. D adds 1 and 2 the equations, so it would produce that graph.
Answer:
i love math
Step-by-step explanation: