Blue = 6x3 = 18
Purple = 4 + (5 x 2) = 14
Orange = 2(2 x 3) = 12
Bottom = 6 x 3 = 18
Back = 4 x 3 = 12
Opposite purple = purple = 14
18 + 14 + 12 + 18 + 12 + 14 = 88
Answer = 88 cm squared
Answer:
A. Nothing, Paul is correct
Step-by-step explanation:
- Tangent to a circle is a line that touches the circle at one point. At the point of contact, tangent to a circle is always perpendicular to the radius.
- If two tangents are drawn from a common external point to a circle, then the two tangents have equal tangent segments.
- Tangent segment means line joining to the external point and the point of contact to the circle.
Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
165 rounded to the nearest front (the hundreds place for all of them in this case) is 200. 123 rounded to the nearest hundred is 100, 376 rounded to the nearest hundred is 400, and 134 rounded to the nearest hundred is 100. Adding 200 + 100 + 400 + 100, we get 800.
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Hope this helps!
Answer:
RPQ = 239°
Step-by-step explanation:
Since SP is a straight line going through the center of a circle, it is a diameter.
We can say that m<SOR and m<ROP are supplementary and add up to 180° because they form a straight line. We can set up an equation:
m<SOR + m<ROP = 180°
We can substitute in the value of m<SOR:
31° + m<ROP = 180°
m<ROP = 149°
Next, we can also say that m<SOQ and m<QOP are supplementary because they form a straight line. Also, since QO is perpendicular to SP, we can say that both m<SOQ and m<QOP equal to 90°.
Now, we can say that m<ROQ (reflex angle) is equal to the sum of m<QOP and m<ROP from angle addition postulate. We can write the equation:
m<ROQ = m<QOP + m<ROP
m<ROQ = 90° + 149° = 239°
The reflex angle <ROQ cuts the arc RPQ, so they would have the same measure. So, arc RPQ = 239°
