Answer:
The vertical distance the ant have to walk is 8 units
Step-by-step explanation:
∵ The ant must be walk vertically and horizontally
∴ The distance from start point to end point will be as
a hypotenuse of a right angle triangle
∵ The ant would have to walk 6 units horizontally that
means one side of the right angle is 6 units
∵ The two points are apart by 10 units that means
the length of the hypotenuse is 10 units
∴ The vertical distance the ant would have to walk is
the length of the second side of the right angle
* By using Pythagoras Theorem:
∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²
∴ 10² = 6² + (vertical leg)²
∵ (vertical leg)² = 100 - 36 = 64
∴ Vertical leg = √64 = 8 units
∴ The vertical distance the ant have to walk is 8 units
Use exponent rule: x^-y = 1/x^y
6^-3
= 1/6^3
= 1/216
Best of Luck!
Answer:
Ginny will cast 2525 spells
Step-by-step explanation:
The ratio of spells Luna casts to spells Ginny casts is:
Luna :4
Ginny :5
4 spells of Luna is equivalent to 5 spells of Ginny
1 spell of Luna is equivalent to 5/4 spells of Ginny
Luna casts 2020 spells
It means Ginny will cast
spells
i.e. Ginny will cast 2525 spells
The answer is the third one because it describes what they want
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.