Answer:
B) 161.5 in²
Step-by-step explanation:
We can separate the kite figure into <em>two triangles, by cutting it vertically</em>.
So, we have two triangles with the area of <em>1/2*(6+13)*8.5</em>.
Since there is <em>two</em> of them, the equation of the total area is <em>2*1/2*(6+13)*8.5</em>.
Simplify: <em>1*19*8.5</em> (2 and 1/2 cancel out).
Multiply: <em>19*8.5</em> = 161.5 in²
Answer:
167.2 m/sec
Step-by-step explanation:
Convert 602 km/hr to m/sec, as follows:
602 km 1000 m
------------ * ----------------- = 602,000 m/hr
hr 1 km
Recall that 1 hr = 3600 sec. Convert 602,000 m/hr to m/sec:
602,000 m 1 hr
------------------ * ---------------- = 167.2 m/sec
1 hr 3600 sec
Answer:
Use the Triangle exterior angle theorem. The definition of this theorem, is that the exterior angle you are solving for is the sum of the two opposite interior angles. Set the equation:
80 + x = 3x - 22
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract x and add 22 to both sides.
80 (+22) + x (-x) = 3x (-x) - 22 (+22)
80 + 22 = 3x - x
Simplify.
102 = 2x
Isolate the variable, x. Divide 2 from both sides.
(102)/2 = (2x)/2
x = 102/2
x = 51
Check. Plug in 51 to the equation given.
80 + x = 3x - 22
80 + (51) = 3(51) - 22
131 = 153 - 22
131 = 131 (True).
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