1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
16/37 I just did this... answer mines pls
Step-by-step explanation:
Answer:
€98.
Step-by-step explanation:
A 30% deposit is 0.30 * 840
= €252.
So there is 840 - 252
= €588 left to pay.
The amount of each monthly instalment
= 588 / 6
= €98.
Answer:
Check the explanation
Step-by-step explanation:
1. The level of education as high school diploma (31% area).
Therefore the most frequent education level is High school Diploma.
2. Suppose there are 200 people in random sample. Pie diagram shows the percentage of people with Bachelor's degree is 19%
Therefore the number of people having Bachelor's degree among 200 people = 200×19% = 38
Therefore the answer is 38 .
3. Now the population size given is 6000. The percentage of individuals who have some collage but no degree is 17%
Therefore the number of individuals among 6000 individuals who have some collage but no degree = 6000×17% = 1020
Thereforethe answer is 1020 .
4. The percentage of individuals who have an associate's degree is 9% as per the pie diagram. The above pie diagram is based on a random sample of individuals. If we take another sample then also we may get different result. Therefore if we considere the entire population of U.S.A. the percentage of individuals who have an associate's degree may differ from 9% .
Answer:
breadth: 3 m and area of rectangle: 27 m²
explanation:
part A:
perimeter of rectangle: 2 ( length + breadth )
using the formula:
24 = 2 ( 9 + breadth )
9 + breadth = 12
breadth = 3 m
part B:
area of the rectangle = length * breadth
using the formula:
9 * 3
27 m²
