Answer:
40 unit^2.
Step-by-step explanation:
Area = 1/2 * base * altitude
= 1/2 * 8 * 10
= 40 unit^2.
Answer:
3.1
4.2
5.2
42
Step-by-step explanation: Just copy the other cone and find half of the diameter to find the radius the cones are congruent.
Answer:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Step-by-step explanation:
We are given that,
ABC is transformed using glide reflection to map onto DEF.
Since, we know,
'Glide Reflection' is the transformation involving translation and reflection.
So, we can see that,
ABC can be mapped onto DEF by any of the following glide reflections:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Hence, any of the two glide reflection will map ABC onto DEF.
To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
(14 in)² = (x²) + (x²)
Simplifying the equation,
196 in² = 2x²
Divide both sides of the equation by 2,
98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
x = sqrt (98) = 7√2 inches
Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches.
Answer:
The quantity of water drain after x min is 50 
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water × 
I.e The quantity of water drain after x min = 50 gallon × 
or, The quantity of water drain after x min = 50 gallon ×
Hence the quantity of water drain after x min is 50 Answer
