Answer:
a.) 0.83
Step-by-step explanation:
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if 
is half the perimeter of the triangle whose sides are 
, the area 
is given by
In our case, 
so the formula becomes
A/7 + 5/7 = 2/7
1/7a + 5/7 = 2/7
1/7a + 5/7 - 5/7 = 2/7 - 5/7
1/7a = -3/7
7*(1/7a) = 7*(-3/7)
a = -3
Answer:
4/6
Step-by-step explanation:
The probability of rolling a 6 is 1/6 as shown in the left section.
The probability of landing on tales is 1/2 as shown in the right section.
Becuase it is an or and not an and... you have to add them together.
1/6 + 1/2 = 1/6 + 3/6 = 4/6.
Therefore, the probability of rolling a 6 or landing on tails is 4/6.
Answer:
17.2
Step-by-step explanation:
We need to use the law of sines
sin A sin B
------------ = ----------
a b
sin 25 sin 27
------------ = ----------
16 x
Using cross products
x sin 25 = 16 sin 27
Divide each side by sin 25
x = 16 sin 27 / sin 25
x =17.18772863
Rounding to the nearest tenth
x = 17.2
