Answer: The height is 4.472
Step-by-step explanation: That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
The answer is B.
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Answer:
B and D
Step-by-step explanation:
slope = 2/7
perpendicular equals negative reciprocal
so slope must be -7/2
A = 2/7
B = -7/2
C = 7/2
D = -7/2
Answer:
A) 3
Step-by-step explanation:
If you simply look at the given numbers, it should be pretty clear that 3 tenths is 3 times 1 tenth.
When Mary puts 1/10 kg in each cage, she can do that for 3 cages with 3/10 kg of bird seed.
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If you let c represent the number of cages, then the amount of bird seed used will be (1/10)c. This will be equal to the amount available when we use it all for filling cages:
(1/10)c = (3/10)
Multiply both sides of the equation by 10:
c = 3
Mary can fill 3 cages with available seed.
Answer:
i would say
y = ( 77 - x ) / 2
Step-by-step explanation:
2x + 4y = 123 + 31
2x +4y = 154
4y = 154 -2x
y = ( 154 - 2x ) / 4
y = ( 77 - x ) / 2
