Eliza is playing roulette on her computer for play money. To play, she “spins” a wheel that consists of 18 red numbers, 18 black
1 answer:
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1 -
3 cups left.
2-
David biked a total of 158 miles (option C)
Why?
- First exercise:
To solve the problem we need to consider that for each 1/2 cup of cornmeal, we will have 6 corn muffins.
So, calculating we have:
We can see that, if each 1/2 cups can give us 6 corn muffins, 2 cups can give us 24 corn muffins.
Hence, there are 3 cups left.
- Second exercise:
We can solve the problem by multiplying or adding the fractions according to the number of dots assigned to each one.
So, calculating we have:
Hence, we have that David covered a total 158 miles. (Option C)
Have a nice day!
Answer:
a) Acute triangle
b) Right triangle
Step-by-step explanation:
∵ A triangle having sides a, b and c is called,
Acute : If a² + b² > c² or a² + c² > b² or b² + c² > a²,
Obtuse : if a² + b² < c² or a² + c² < b² or b² + c² < a²
Right : a² + b² = c² or a² + c² = b² or b² + c² = a²,
a) Let A≡(-1, 1), B≡(7,-2) and C≡(1,-5),
By the distance formula,
Similarly,
∵ The sum of any two sides is greater than third side,
So, ABC is a triangle,
Now,
⇒ ABC is an acute triangle.
b) Let P≡(0,6), Q≡(1,2) and R≡(5,3),
By the distance formula,
PQ = √17 unit,
QR = √17 unit,
RP = √34 unit,
∵ The sum of any two sides of PQR is greater than third side,
⇒ PQR is a triangle ,
Also,
Hence, PQR is a right triangle.