Answer:
315
Step-by-step explanation:
No. of girls be g
No. of boys be b
g= 180
g/b = 4/3
b = 3g/4
b= 3(180/4)
b= 3*45
b= 135
.
Find b+g
= 135 + 180
= 315
Sin(angle) = Opposite leg / Hypotenuse
Angle = 8 degrees
Opposite leg = 2.3 feet
Sin (8) = 2.3 ft. / Z
Z = 2.3 / sin(8)
Z = 16.5 feet
Answer:
These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
The probability of drawing a red face card from a deck of cards is 3/26
Explanation:
In a deck of cards, there are 6 red-faced cards.
Probability = No. of favourable events / Total no. of events
So, the probability of drawing a red-faced card is 6 out of 52 cards.
Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.
The absolute value of 9 is 9 and the absolute value of -9 is 9 so your answer is C) 9
