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QveST [7]
3 years ago
12

Find mZB. Round to the nearest degree. 11 B В 7. 15

Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

---------------------------------

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

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What are the first and last terms of this geometric series
11Alexandr11 [23.1K]
ANSWER

E. 10 and 640


EXPLANATION


The given series is

\sum_{i=1}^45 \times 2^{2i-1}


To find the first term of the series we substitute i=1 to get,


a_1 = 5 \times  {2}^{2 \times 1 - 1}


a_1 = 5 \times  {2}^{ 1}  = 10



For the last term of the series, we substitute i=4 to obtain,

a_4 = 5 \times  {2}^{2 \times 4 - 1}


a_4 = 5 \times  {2}^{7}



This implies that,


a_4 = 5 \times  128 = 640


Therefore the correct answer is E
7 0
3 years ago
A woman saw oranges and mangos ad the market. She bought some oranges at 35 cents each and some mangoes at $1.00. if she bought
marysya [2.9K]

Answer: 20 oranges and 5 mangoes

Step-by-step explanation:

Define the following:

x = number of oranges

y = number of mangoes

Make the following system of equations:

x + y = 25

0.35x + 1.00y = 12.00

Solve for x:

y = 25 - x

⇒ 0.35x + 1.00(25 - x) = 12.00

⇒ 0.35x + 25 - x = 12.00

⇒ -0.65x = -13.00

⇒ x = 20

Solve for y:

20 + y = 25

y = 5

∴ 20 oranges and 5 mangoes were purchased.

8 0
1 year ago
I need help please asp !!!
Marina86 [1]

Answer:

They are all equal and identical in form; coinciding exactly when superimposed.

Step-by-step explanation:

4 0
2 years ago
No fewer than means
eimsori [14]

Answer:

Greater than or equal to, or D.

8 0
2 years ago
Read 2 more answers
Express the ratio as a fraction in simplest form. 15:45 2/3 3/9 1/3 5/16
ankoles [38]

Answer:

3/9

Step-by-step explanation:

15/45

divide both sides by a factor of each number; I'll be using 5.

3/9

It didn't have to be 5, I could have used 3, but in that case It wouldn't have been it's simplest form and I would have to divide again by another factor.

3 0
2 years ago
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