Answer:
The measures of the angles at its corners are 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle A
Applying the law of cosines
![cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))](https://tex.z-dn.net/?f=cos%28A%29%3D%20%5B215%5E%7B2%7D%2B125%5E%7B2%7D-185%5E%7B2%7D%5D%2F%282%28215%29%28125%29%29)
step 2
Find the measure of angle B
Applying the law of cosines
![cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))](https://tex.z-dn.net/?f=cos%28B%29%3D%20%5B215%5E%7B2%7D%2B185%5E%7B2%7D-125%5E%7B2%7D%5D%2F%282%28215%29%28185%29%29)
step 3
Find the measure of angle C
Applying the law of cosines
![cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))](https://tex.z-dn.net/?f=cos%28C%29%3D%20%5B125%5E%7B2%7D%2B185%5E%7B2%7D-215%5E%7B2%7D%5D%2F%282%28125%29%28185%29%29)
2a^2+4a+1 is equivalent to 4a+4/2a*a^2/a+1
Answer:
Step-by-step explanation:
<u>Total number of marbles:</u>
<u>There are two possibilities</u>
- Orange then green or green the orange
<u>The probabilities are:</u>
- P(o&g) = 2/10*2/9 = 2/45
- P(g&o) =2/10*2/9 = 2/45
<u>Required probability is:</u>
- P = 2/45*2 = 4/45 = 0.08889
Correct choice is C
Answer:
After the peak of Klimt’s Golden Phase in 1907-8, there was a decline in his use of gold leaf in his paintings, the relationship with his young protégé Egon Schiele developed, and he had separated from the Vienna Secession over its exclusion of crafts from its exhibitions.
Klimt still used precious metal leaf, including gold and platinum, in his Hope II (1907-08), originally titled Vision by the artist. As with his Hope I, it is a portrait of a woman who is heavily pregnant. The woman’s head is bowed and her eyes closed, which is echoed in the heads of three other women at the foot.
Answer: the rate of change is 3
Step-by-step explanation:
