Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
Step-by-step explanation:
100% = 96
1% = 100%/100 = 96/100 = 0.96
the temperature changed by 96 - 71 = 25.
how many % are these 25 ?
we check how often 1% fits into 25.
that is done by division :
25 / 0.96 = 26.04166667 ≈ 26%
Answer:
68
Step-by-step explanation:
A P E X
Answer:
the frequency of allele B is 0.7 and allele b is 0.3 in population’s gene pool.
Step-by-step explanation:
Allele frequency is how often an allele occurs in a gene pool relative to the other alleles for that gene
<u>Genotype</u> <u> No. of Individuals</u><u> </u> <u>No. of Allele </u><u>B</u> <u>No. of Allele</u><u> b </u>
BB 30 30*2 =60 30*0 =0
Bb 10 10*1 =10 10*1=10
bb 10 10 *0 =0 10*2=20
Total 50 70 30
Total no. of alleles = 70+30 =100
The frequency of allele B :
:
:
The frequency of allele b :
:
:
Hence the frequency of allele B is 0.7 and allele b is 0.3 in population’s gene pool.
