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3 years ago

Law of sines: Sinca) = sin(B) = sin(C)

Mathematics

1 answer:

ioda3 years ago

3 0

Answer:

no trangles can be formed

Step-by-step explanation:

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

sin(a) sin(b)

------------ = ------------

A B

Upon substituting the given values of angle A, and sides a and b, we get:

sin(75) sin(B)

------------ = ------------

2 3

Upon solving this equation for B, we get:

----->3sin(75)=2sin(B)

----->sin(B)=3sin(75)

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

------>sinB=1.4488

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

sorry I could not get to you sooner. please mark as brainliest

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Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.

SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

$S_{n}$ = $\frac{n}{2}$ [(2 × 5) + 2(n - 1) ]

= $\frac{n}{2}$ (10 + 2n - 2)

= $\frac{n}{2}$ (2n + 8)

= n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11

4 0

3 years ago

What is -2 < 3t-2 less than or equal to 10? Plz show your work I need this by tomorrow I will give brainliest to the person w

AnnZ [28]

Answer:

The answer is t>0

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2<3t−2

Step 1: Flip the equation.

3t−2>−2

Step 2: Add 2 to both sides.

3t−2+2>−2+2

3t>0

Step 3: Divide both sides by 3.

3t /3 > 0/3

6 0

3 years ago

Read 2 more answers

The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3 for i.

Maslowich

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

35 points!! How much does a fish weigh if its tail weighs 4 kilograms, it's head weighs as much as it's tail and half its body,

NeX [460]

Let t, h, b represent the weighs of tail, head, and body, respectively.

t = 4 . . . . given

h = t + b/2 . . . . the head weighs as much as the tail and half the body

b/2 = h + t . . . . half the body weighs as much as the head and tail

_____

Substituting for b/2 in the second equation using the expression in the third equation, we have

... h = t + (h + t)

Subtracting h from both sides gives

... 0 = 2t . . . . . . in contradiction to the initial statement about tail weight.

Conclusion: there's no solution to the problem given here.

4 0

3 years ago

Anna truncated the decimal expansion of x to find the best approximation. On a number line, the location of x is between 10.9 an

podryga [215]

Answer:

Well to estimate a decimal the best option would be to round it to.

10 or 11 (For 10.9)

11 (For 11.1)

and since two of them equal 11.

The estimation would be 11.

I hoped this helped.

3 0

2 years ago