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rosijanka [135]
3 years ago
14

Can someone please answer this for me? Find the measure of side a. I will give brainliest answer!

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

6 m

Step-by-step explanation:

The sine of an angle is the ratio between the opposite side of the angle and the hypotenuse.

Hence, sin 30° = \frac{a}{c}

                         = \frac{a}{12}

                      a = 12sin30°

                      a = <u>6m</u>

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Find the interest earned: <br><br> $11,500 for 3.5 years at 7.25% annual simple interest
Otrada [13]

Answer:

Future Value, using...

 Simple Interest: $  

14,418.13

 Annually Compounded Interest: $  

14,692.25

Step-by-step explanation:

8 0
2 years ago
How many solutions does the equation 12 (x + 3 ) = 4 (2x + 9 ) +4x have?
Vera_Pavlovna [14]

Answer:

Infinitely many solutions.

Step-by-step explanation:

12(x+3)=4(2x+9)+4x

12x+36=8x+36+4x

12x+36=12x+36

infinitely many solutions

3 0
3 years ago
a clothing store office very often various promotions to attract customers but wants to maintain the same amount of profit to do
vova2212 [387]

Since 3 neckties will be out from the store, so you need to know how much is the cost of 3 ties.

$59.99 x 3 = $179.97 and divide it by two because the costumer will only pay for 2

$179.97 / 2 = $89.99 is the new price

Mark up = 89.99 – 59.99 = $30.00

% mark up = [(89.99/59.99) -1] * 100

= 50%

<span> </span>

4 0
3 years ago
Za and Z6<br> are<br> complementary angles. Za measures 78°.<br> What is the measure of Zb?
VARVARA [1.3K]

Answer:

\boxed{\angle b = 12 \degree}

Given:

\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

=  > \angle a + \angle b = 90 \degree \\  \\  =  >  78 \degree +  \angle b = 90\degree \\  \\  =  > \angle b = 90 \degree - 78 \degree \\  \\  =  >  \angle b = 12 \degree

5 0
2 years ago
The sum of two consecutive integers is 329. Write an equation and solve to determine the numbers.
Cerrena [4.2K]
X + (x + 1) = 329

2x + 1 = 329

2x + 1 (-1) = 329 (-1)

2x = 328

2x/2 = 328/2 

x = 164
x + 1 = 165

164 + 165 = 329 (True)

Your answer is 164 and 165

hope this helps
4 0
3 years ago
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