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nika2105 [10]
4 years ago
8

Laws of sines: the ambiguous case. I need help solving 3,6&9. Not sure what to do. Someone please help me

Mathematics
1 answer:
7nadin3 [17]4 years ago
7 0
3) Whenever you have in a triangle 2 known sides and the angle comprise between those side, then you apply the law of cosine to calculate the 3rd side:

BC² = AB² + AC² - 2AB.BC.cos(25.6)

BC² = 306² + 275² - 2(306).(275).cos(25.6)

BC² = 93,636 + 75,625  - 168,300.(0.901833), note that cos(25.6) = 0.901...]

BC² = 17,482.6  and BC = √17,482.6 → BC = 132.22 m or 132 (rounded)

Number 6 and 9 follow the same methodology.
Hope it helped you


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Corey invested $1500 when he was a freshman in order to save for college. If he chooses to invest it in an account that earns 3.
Tcecarenko [31]

Answer: He will have $1721.28. after 4 years.

Step-by-step explanation:

The formula we use to find the compounded amount A is :

A=P(1+r)^t, where P= principal value, r = rate of interest , t= time.

As per given , we have

P=$1500  , r=3.5%=0.035 , t= 4 years

Money he will have after 4 years = 1500(1+0.035)^4

=1500(1.035)^4\\\\=1721.28450094\approx1721.28

Hence, he will have $1721.28. after 4 years.

4 0
3 years ago
khairul order one set meal at a restaurant which offer a 20% discount. there is a service charge of 10% and GST is at 7% given t
fenix001 [56]

Answer:

Market price of set = 25.14

Step-by-step explanation:

Given:

Discount percentage = 20%

Service charge = 10%

GST = 7%

Amount pays = 23.54

FInd:

Market price of set

Computation:

Assume;

Market price of set = a

Market price of set after discount = a(1-20%)

Market price of set after discount = 0.80a

Market price of set after discount + (Market price of set after discount)(Service charge) + (Market price of set after discount)(GST) = Amount pays

0.80a + (0.80a)(10%) + (0.80a)(7%) = 23.54

0.80a + 0.08a + 0.056a = 23.54

0.936a = 23.54

a = 25.14

Market price of set = 25.14

4 0
3 years ago
( 32.45 - 4.8) - 2.06
Igoryamba

Answer:

25.59

Step-by-step explanation:

The first thing that you will do is solve parenthesis (remember PEMDAS).

(32.45-4.8) - 2.06

(27.65) - 2.06

Then do the subtraction.

(27.65) - 2.06=

25.59

Hope this helps!

5 0
3 years ago
Please can someone help; this is not cheating btw.
Umnica [9.8K]

By determining the area of the square, we get x^{2} +4x = 3.

Step-by-step explanation:

Step 1:

The area of a square is given by squaring its side length.

The given squares side length is (x+2) cm.

The area of a square = a^{2} . Here a is the side length.

The area of the square is given as 7 cm².

Step 2:

Substituting the value of a in the equation, we get

7 = (x+2)^{2} = x^{2}  + 4x + 4.

Taking the x values on one side and the constants on the other side, we get

x^{2} +4x= 7-4 =3.

So x^{2} +4x = 3.

So it has been proved.

4 0
4 years ago
What is the arc measure of ABC in circle P in degrees
Masja [62]

Given:

m∠APB = 74°

To find:

The measure of ACB

Solution:

The measure of the central angle is congruent to the measure of the intercepted arc.

⇒ m(ar AB) = m∠APB

⇒ m(ar AB) = 74°

The complete angle of the circle is 360°.

⇒ m(ar ACB) + m(ar AB) = 360°

⇒ m(ar ACB) + 74° = 360°

Subtract 74° from both sides.

⇒ m(ar ACB) = 286°

The measure of arc ACB is 286°.

7 0
3 years ago
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