The probability of popping a purple balloon is 2 out of 15
Answer: 117cm^2
Step-by-step explanation:
Arectangle = L*W
= 54cm^2
Atrapezoid = 1/2 (a+b) (h)
= 1/2 (15+6) (6)
= 1/2 (21) (6)
= 1/2 (126)
= 63cm^2
9514 1404 393
Answer:
x ≈ 8.0
y ≈ 6.0
Step-by-step explanation:
For x, the relevant trig relation is ..
Sin = Opposite/Hypotenuse
sin(53°) = x/10
x = 10·sin(53°)
x ≈ 8.0
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The value of y can be found in the same way using the 37° angle, or the cosine function can be used.
y = 10·sin(37°) ≈ 6.0
y = 10·cos(53°) ≈ 6.0
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<em>Additional comment</em>
This question only asks for the value of x. We expect there may be some versions of this question in which the value of y is requested, or in which the positions of x and y are switched. Please compare your question carefully before you copy the answer.
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You may notice this is a 3-4-5 triangle with a scale factor of 2.
Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
