Answer:
Undefined
Step-by-step explanation:
if its -3-√-12 ÷24 it would be undefined. Unless you wrote the question wrong I will answer again.
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle
Answer:
Step-by-step explanation:
We have to check under which condition a triangle will exist.
1. It is possible to have triangle with three acute angle
Example: A triangle with all the three angles of 60 degrees
2. It is possible to have a triangle with 2 acute angles and 1 right angle.
Example: A triangle with all the two angles of 45 degrees and one right angle.
3. It is not possible to have a triangle with 1 acute angle, 1 right angle and 1 obtuse angle. It will violate the angle sum property of triangle.
4. It is not possible to have a triangle with 1 acute angle and 2 obtuse angles. It will violate the angle sum property of triangle.
5. It is possible to have a triangle with 2 acute angles and 1 obtuse angle.
Example: A triangle with all the angles of 45 degrees, 40 degrees and 95 degrees
b.Find the amount of milk in 3 mugs
Answer:
a) 1/9 quarts
b) 1/3 quarts
Step-by-step explanation:
Gordon pours 4/9 quarts of milk from a pitcher equally into 4 mugs.
a. Find the amount of milk in each mug.
To solve the first part of this question, we can simply use the idea of proportion;
Let x be the amount of milk in 1 mug
4/9 quarts = 4 mugs
x = 1 mugs
We will cross multiply
4x = 4/9
To get the value of x, we will divide both-side of the equation by 4
4x/ 4 = 4/9 ÷ 4
(on the left hand- side of the equation, 4 will divide 4 leaving us with x)
x = 4/9 ÷ 4
( This ÷4 can be change to become × 1/4)
x = 4/9 × 1/4
(The 4 at the numerator will cancel out the 4 at the denominator leaving us with 1/9)
x = 1/9
Therefore the amount of milk in each mug is 1/9 quart
b.Find the amount of milk in 3 mugs
For this second part of the question, we can also use proportion to solve;
Let x be the amount of milk in 3 mugs
4/9 quarts = 4 mugs
x = 3 mugs
Cross multiply
4x = 3 × 4/9
(At the right-hand side of this equation 3 can divide 9 which will give us 3 )
4x = 1 × 4 /3
4x = 4/3
We can now divide both-side of the equation by 4 to get the value of x
4x/4 = 4/3 ÷ 4
(On the left hand side of the equation, 4 will cancel out 4 leaving us with just x and on the right-hand side of the equation ÷ 4 can be changed to ×1/4)
x = 4/3 × 1/4
(4 will cancel 4 leaving us with 1/3)
x = 1/3
Therefore the amount of milk in 3 mugs is 1/3 quarts
Help me plz
Answer:
9 boxes were packed. 10 brownies were left over.
Step-by-step explanation:
127 ÷ 13 = 9 R10
13 x 9 = 10 x 9 + 3 x 9 = 90 + 27 = 117
127 - 117 = 10
You can use ratio and proportion in this problem.
Segment DC / Segment CB = Segment ZY / Segment YX
2.3m / 4.2m = k / 8.4m
K = 8.4 (2.3 / 4.2)
K = 23/5 or 4.6 m
Answer= 4.6 m