Answer: (D) Amber spends time sleeping than she does at school.
Step-by-step explanation:
Given that :
• Amber spends 3/16 of each day doing homework.
• Amber spends 0.25 of each day at school.
• Amber spends 1/3 of each day sleeping.
Hence,
Amber spends 0.1875 of a day doing homework, which is (0.1875 * 24) = 4.5 hours
0.25 of each day at school ; (0.25 * 24) = 6 hours
1/3 of each day sleeping ; (1/3 * 24) = 8 hours
Time spent sleeping = 8 hours
Time spent in school = 6 hours
First, we need to find the missing leg of triangle ACD. We have to use pythagorean theorem to find the missing leg.
a^2 + b^2 = c^2
In this problem,
a = 2
b = ?
c = 5
Plug our numbers into the formula above.
2^2 + b^2 = 5^2
Simplify our terms
4 + b^2 = 25
Subtract 4 from both sides
b^2 = 21
Take the square root of each side
b = √(21)
Now, we can solve for the area of triangle ABC
Area of a triangle = (h * b) / 2
h = height
b = base
In this problem,
h = √(21)
b = 5.0
Plug our numbers into the area formula of a triangle
Area = (√(21) * 5) / 2 = 11.46 square units
Answer:
180 people
Step-by-step explanation:
If we can seat 5 people per table and there are 36 tables, we multiply 36 times 5 to find out how many people we can seat.
36 tables * 5 people/table = 180 people.
Answer:
10.3 is the length
Step-by-step explanation:
If the area of a parallelogram is B * H then finding one side is dividing area by base or by height
88.58 / 8.6
Step-by-step explanation:
x = one odd number
the second odd number is (x+2), as both are consecutive.
so,
x × (x + 2) = 195
x² + 2x = 195
x² + 2x - 195 = 0
the formula to solve this is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -195
x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =
= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =
= (-2 ± 28)/2 = -1 ± 14
x1 = -1 + 14 = 13
x2 = -1 - 14 = -15 which is invalid as the numbers are positive.
so, the two numbers are 13 and 15.
