Solve the triangle. Round your answers to the nearest tenth.

Mathematics

1 answer:

Aloiza [94]3 years ago

7 0

Answer:

Option B

You use sine rule to find the missing angles

Answered by GAUTHMATH

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Solve for a. 7a - 2b = 5a + b a = 2b a = 3b a = b a = b

larisa [96]

$\\
\text{Consider the equation}\\
\\
7a-2b=5a+b\\
\\
\text{to solve for a, we will first add 2b both sides. so we get}\\
\\
7a-2b+2b=5a+b+2b\\
\\
\Rightarrow 7a=5a+3b\\
\\
\text{now subtract 5a both sides. so we have}\\
\\
7a-5a=3b\\
\\
\Rightarrow 2a=3b\\
\\
\text{divide 2 both sides to get}\\
\\
\Rightarrow a=\frac{3b}{2}$

Hence the value of a is: 3b/2

5 0

3 years ago

4( x - 3 ) - 5x ≥ -1 Can someone solve for this plz ?

satela [25.4K]

Answer:

Step-by-step explanation:

4x - 12 - 5x ≥ -1

-x - 12 ≥ -1

-x ≥ 11

x ≤ -11

4 0

3 years ago

A board 12 3 4 feet long is cut so that 9 7 8 feet are left. What length of the board was cut off? A) 2 1 2 ft B) 2 7 8 ft C) 3

Papessa [141]

Answer:

B 2 7/8

Step-by-step explanation:

12 3/4 - 9 7/8 = 2 7/8

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3 years ago

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

GIVEN :-

First term of G.P. = 6
Forth term of G.P. = 384

TO FIND :-

Sum of first 10 terms of the G.P.

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

[NOTE :- $\frac{a(1-r^n)}{1-r}$ can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]