Answer:
x=60° , y=30° , z= 75°
Step-by-step explanation:
note...an equilateral triangle has the same angles all equal to 60°. so based on this x is 60°
the angle next to y is on a straight line therefore
60 +y =90
y=90-60
y=30°
the triangle with the y and z angles is an isosceles triangle...so the base angles must be equal
z+z+30=180
2z+30=180
2z=180-30
2z=150
z=75°
We need to know this:
If Δ > 0 we have two and different solutions
If Δ = 0 we just one solution
If Δ < 0 we don't have real solutions
A composite number because other digits go it besides itself and one
Step-by-step explanation:
A)
Janet's took 34.56 seconds to cover 50m freestyle swim.
In words it could be said as: thirty four and fifty six hundredths.
B)
Race # Time (in sec.) time( after roundoff to nearest integer)
<em> 1 34.56 35</em>
<em> 2 35 35</em>
<em> 3 34.8 35</em>
4 34.137 34
5 33.92 34
Hence, the first 3 race times were equal after rounding off to nearest integer.
C)
on arranging the time of Janet's from fastest to slowest we get the table as:
Race # Time( in sec.)
5 33.92
4 34.137
1 34.56
3 34.8
2 35
since, after decimal we arrange the numbers in order same as we do for the natural numbers.
as in race #5 '33' is the smallest among all hence we keep it in first place.
for race 4,1 and 3 we have the same digit before decimals so now we have to look for the number after decimals.
D)
Janet's time in race #4 was: 34.137 sec.
But Grace was 1.8 seconds faster than Janet.
Hence, Grace time=34.137-1.8=32.337 sec.
Mean = 62 in
SD = 2 in
At 16% = 0.16 and using Z tables,
Z≈ -0.99
x =(-0.99*2) + 62 ≈ 60 in
This represents jockeys who are shorter than 60 in.