Answer:
Part 1)
Part 2) The answer in the procedure
Step-by-step explanation:
Part 1)
we know that
Applying the Pythagoras Theorem
we have
substitute the values
Part 2) Transform each side of the equation to determine if it is an identity
The left side is equal to the right side
therefore
Is an identity
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
64 inches is greater than 5 feet.
Hope I helped! <3
Answer:
<h2>1/5</h2>
Step-by-step explanation:
The sample space for pens is
5 red pens, 6 blue pens, 3 black pens,(5+6+3)= 14pens
The sample space for paper is
4 silver paper clips and 16 white (4+16)=20 papers
The probability of selecting a black pen and white paper
Pr(black pen)*Pr(white paper)
=3/14*16/20
=48/280
= 14/70
= 2/10
= 1/5
Answer:
Step-by-step explanation:
12 miles is the ride distance
the guy is able to travel at 6 yard per second
Question C asks how many minutes will the trip take
first we have to convert miles to yards....
there are 1760 yards in one mile
12*1760= the total distance to be traveled.. in yards..
21,120 yards
Next we'll figure out the time to travel that distance.. but we're give a rate of travel in seconds... 6 yards every second
so divide the total yards by the seconds.. that are take to travel every second.. in on second he goes 6 yards. so divide the total yards by 6 for each second of travel
21,120 / 6 = 3520 seconds to go 12 miles or the 21,120 yards.. it's the same distance in different units
then.. b/c the question is asking for minutes divide the 3,520 seconds by 60.. b/c that's how many seconds are in one minute
3,520 / 60 = 58.6666666666666 minutes or 58 minutes and 2/3 of one minute.... make sense?