Step-by-step explanation:
By Sine Rule,
x/sin42° = 37/sin110°.
Hence x = 37sin42°/sin110° = 26.35 in. (A)
Answer:
For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:
A = (1/2)*H*(X + Y)
with this we can complete the table.
a)
Here we know:
X = 7cm
Y = 11cm
H = 6cm
Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2
b)
Here we know:
X = 8 m
Y = 10 m
A = 126 m^2
Then:
126 m^2 = 0.5*H*(8m + 10m)
126 m^2 = H*9m
126 m^2/9m = H = 14m
Then the height of this trapezoid is 14m
c)
Here we know:
X = 5mm
H = 8mm
A = 72 mm^2
Then:
72 mm^2 = 0.5*8mm*(5mm + Y)
72 mm^2 = 4mm*(5mm + Y)
72mm^2/4mm = 5mm + Y
18 mm = 5mm + Y
18mm - 5mm = Y
13 mm = Y
Then the parallel side 2 is 13 mm long.
Answer:
1. c
2. b
3. c
4. a
5. b
6. c
7. c
Step-by-step explanation:
1. to check the congrency normally distance formula is used. if the distances/ length are equal we say that sides are congurent.
2. if the slope of two lines are equal then both the lines are parallel. if the product of the slopes of two lines equal to one then lines will be perpendicular.
3. diagonals bisect or not can be checked by using midpoint formula.
4. equilateral triangle if the distance of each side is equal so, distance formula can be used.
Complete Question
A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.
A: what is the probability that a person in this population is a teenager?
B: what is the probability of selecting a participant who is at least 20 years old?
We have that probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is
From the question we are told
A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.
a)
Generally the equation for the probability that a person in this population is a teenager is mathematically given as
P(T)=0.38
b)
Generally the equation for the probability of selecting a participant who is at least 20 years old is mathematically given as
P(T')=0.63
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Answer:
a>-2
Step-by-step explanation:
