Answer:
It is the second triangle.
Step-by-step explanation:
This is because the area of the square is given as 25^2 as the perpendicular, 144^2 as the base, and the hypotenuse is 169^2.
Length of the perpendicular = 5^2 (Because 25^2 / 5^2)
Length of the base = 12^2
Length of the hypotenuse = 13^2
So, the Pythagoras theorem is,
=> 
=> 
This is true, because, 13*13 = 12*12 + 5*5
=> 169 = 144 + 25
=> 169 = 169
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Answer:
a>−6
Step-by-step explanation:
−4(1−5a)>−124
Step 1: Simplify both sides of the inequality.
20a−4>−124
Step 2: Add 4 to both sides.
20a−4+4>−124+4
20a>−120
Step 3: Divide both sides by 20.
20a/20> −120/20
a>−6
Answer:
Step-by-step explanation:
Let the number of cups of onions Katrina still needs to chop = x
She has already chopped the onions = 
cups ≈ 
cups
So total amount of chopped onions = 
cups
Since, onion soup recipe calls for the chopped onions = 
cups ≈ 
cups
Therefore, equation which shows the number of cups of onions to be chopped more will be,
We further solve this equation for the value of x,
x = 
x = 
= 
cups
≈ 
cups
Answer:
2.5 pi
Step-by-step explanation:
Comment
If you were trying to get the area of a whole circle, you would use
Area = pi r^2
You have to modify the formula to show that just part of the circle has an area that you are interested in.
The new formula is
Area = (theta/360) pi r^2
Givens
r = 30 cm
theta = 100
Solution
Area = (100 / 360) * pi * r^2 Substitute the givens into this formula
Area = (5 / 18) * pi * 3^2 Expand
Area = (5 / 18) * pi * 9 Cancel 9 into 18
Area = 5/2 * pi
Area = 2.5 * pi
Firstly you need to to reduce to a common denominator by multiplYing the whole fraction. This way you have to multiply 4/5 by 2 (both numerator and denominator). so 4/5 = 8/10. And now you have 8/10 and 9/10. You compare only numerators. This way you have 8/10 <9/10. Same goes for 2/3 and 5/8. Only here you need to multiply both fractions. The common denominator here is 24. So you have to multiply 2/3 by 8 and 5/8 by 3. You now have to compare 16/24 and 15/24. 16/24>15/24.
