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Makovka662 [10]
4 years ago
13

Please help will mark brainliest. Find AC

Mathematics
1 answer:
Anastaziya [24]4 years ago
4 0

Answer: Line AC = 16

Step-by-step explanation: We have two angles and one side given. The side given is facing one of the angles so we apply the Sine Rule;

a/SinA = b/SinB

We can now substitute values as follows;

AC/Sin 77 = 14/Sin 58

We cross multiply and we have

AC = (14 x Sin 77)/Sin 58

AC = (14 x 0.9744)/0.8481

AC = 13.6416/0.8481

AC = 16.08

Approximately, Line AC = 16.

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A total of $4000 is invested: part at 8% and the remainder at 14%. How much is invested at each rate if the annual interest is $
skelet666 [1.2K]

Answer:

$2000 is invested at 8%

$2000 is invested at 14%

Step-by-step explanation:

A total of $4000 is invested part at 8% and the remainder at 14%

Annual interest is $440.

Simple interest formula;

I = P × R × T

Where I is the interest, P is the principal, R is the rate and T is the time.

P = $4000

R = 8% and 14%

T = 1 year

I = $440

Let's say $a is invested at 8% and;

$b is invested at 14%

Then,

($a × \frac{8}{100} × 1 ) + ($b × \frac{14}{100} × 1) = $440

and

$a + $b = $4000

This forms a simultaneous equation;

0.08a + 0.14b = 440 ... (i)

a + b = 4000 ... (ii)

Multiplying (i) by 1 and (ii) by 0.08  we get;

0.08a + 0.14b = 440 ... (i)

0.08a + 0.08b = 320 ... (ii)

Subtracting (i) - (ii) we get;

0 + 0.06b = 120

0.06b = 120

b = 120 ÷ 0.06 = 2000

So amount invested at 14% ($b) = $2000 and,

The amount invested at 8% ($a) = $4000 - $2000 = $2000

7 0
3 years ago
Jacob and his 3 friends are sharing 9 cups of cherries.
AlekseyPX

Answer: each child gets 3 cups

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Someone please help 5 points.
choli [55]

Answer:

7.1 I am pretty sure okay cya

4 0
3 years ago
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What is the least common multiple of 52 and18
DanielleElmas [232]
The least common multiple is 468.

You can make a list of the multiples...

52: 52, 104... eventually 468

18: 18, 36, eventually 468.

This method is simple and easy. By listing all multiples (I only showed a few just to teach the strategy), you can find the first number that both is a factor of both numbers.


Hope this helps! :)
4 0
3 years ago
A customer purchase a television set for $900 using a credit card. The interest is charged on any unpaid balance at the rate of
Semenov [28]

Answer: just need the points

Step-by-step explanation:

theres ie none.

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3 years ago
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