Answer:
C = 13
Step-by-step explanation: According to the pythagorean theorem, which states A² + B² = C². This means that in this equation 5²+12²=x². When we solve this we get 169=x². Since 169 is the perfect square of 13 therefore the answer is 13.
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
Answer:
9.44 x 10^4 in scientific notation
Step-by-step explanation:
Answer:
y = 3/4x - 8/3
Step-by-step explanation:
y = 3/4x + b
1/3 = 3/4(4) + b
1/3 = 3 + b
-8/3 = b
y = 3/4x - 8/3
Solving the inequality
the value of q is ![q\leq 6](https://tex.z-dn.net/?f=q%5Cleq%206)
Step-by-step explanation:
We need to solve the inequality:
and find value of q
Solving:
![-3q+12\geq 4q-30\\Adding\,\,-12\,\,on\,\,both\,\,sides:\\-3q+12-12\geq 4q-30-12\\-3q\geq 4q-42\\Adding\,\,-4q\,\,on\,\,both\,\,sides:\\-3q-4q\geq 4q-42-4q\\-7q\geq -42\\Divide\,\,both\,\,sides\,\,by\,\,7\\\frac{-7q}{7}\geq \frac{-42}{7}\\ -q\geq -6\\Multiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\\q\leq 6](https://tex.z-dn.net/?f=-3q%2B12%5Cgeq%204q-30%5C%5CAdding%5C%2C%5C%2C-12%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C-3q%2B12-12%5Cgeq%204q-30-12%5C%5C-3q%5Cgeq%204q-42%5C%5CAdding%5C%2C%5C%2C-4q%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C-3q-4q%5Cgeq%204q-42-4q%5C%5C-7q%5Cgeq%20-42%5C%5CDivide%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%2C%5C%2Cby%5C%2C%5C%2C7%5C%5C%5Cfrac%7B-7q%7D%7B7%7D%5Cgeq%20%5Cfrac%7B-42%7D%7B7%7D%5C%5C%20-q%5Cgeq%20-6%5C%5CMultiply%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%2C%5C%2Cby%5C%2C%5C%2C-1%5C%2C%5C%2Cand%5C%2C%5C%2Creverse%5C%2C%5C%2Cthe%5C%2C%5C%2Cinequality%3A%5C%5Cq%5Cleq%206)
So, solving the inequality
the value of q is ![q\leq 6](https://tex.z-dn.net/?f=q%5Cleq%206)
Keywords: Solving inequality
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