Answer:
120quarts because you have to add 40+40+40
Answer:
Green: 15/49
Yellow: 18/49
Orange: 16/49
Step-by-step explanation:
Add the total amt. of balls, then divide a specific group of balls by the total # of balls to get the ratios.
Answer:
k= 20
Step-by-step explanation:
You start with this equation:
k-16=4
Add 16 on both sides.
k=4+16
Simply.
k=20
If you want to check your answer, you can just plug 20 into where k is back into the equation:)
Hope this helps!
Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
The solution set of the inequality as given in the task content is; x ≥-10.
<h3>What is the solution set of the inequality?</h3>
It follows from the task content that the given inequality is; 5x+13≥−37.
On this note, the inequality can be solved as follows;
5x+13≥−37
5x ≥−37 -13
5x ≥−50
x ≥-10.
Read more on inequalities;
brainly.com/question/24372553
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