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2 years ago

Which proportion could be used to find the length of side b?

Mathematics

2 answers:

Goshia [24]2 years ago

8 0

Answer:

Step-by-step explanation:

Using the Sine Rule in ΔABC

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

$\frac{a}{sin58}$ = $\frac{b}{sin82}$ = $\frac{8.4}{sin40}$

We require a pair of ratios which contain b and 3 known quantities, that is

$\frac{b}{sin82}$ = $\frac{8.4}{sin40}$

$\frac{sin40}{8.4}$ = $\frac{sin82}{b}$ → B

Zepler [3.9K]2 years ago

4 0

Answer:

Step-by-step explanation:

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A crew of loggers cleared ½ acre of lumber in 4 days. How long will it take the same crew to clear 2 ¾ acres of lumber?

Tanzania [10]

You can use a proportion

1/2(acres) 2(3/4)acres
-------------- = --------------
4(days) x(days)

4*2(3/4) = 6
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2 years ago

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Simplify the expression IabI if a>0 and b>0

Brums [2.3K]

Answer:

Step-by-step explanation:

The "ab" inside absolute value has to go out positive, such as |-2|=2

Since both the a and b values are positive, the value of |ab| should be "ab"

For example:

a=2

b=3

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2 years ago

The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference be

Sergio039 [100]

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

$9x+15x+25x=147$

$49x=147$

$x=3$

The value of x is 3. So, the age of all three are

$Kissi=9x=9(3)=27$

$Esinam=15x=15(3)=45$

$Lariba=25x=25(3)=75$

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

$75-27=48$

Hence, difference between oldest and youngest is 48 years.

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2 years ago

In ΔPQR, p = 95 inches, q = 64 inches and ∠R=53°. Find the area of ΔPQR, to the nearest square inch.

Elena L [17]

AREA = 2428

c= 76
angle A= 85 deg
angle B= 42 deg

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2 years ago

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Solve by the linear combination method (with or without multiplication) <br> 2x+3y= -17, 5x+2y = -4

Amiraneli [1.4K]

2x+3y= -17
5x+2y= -4
You must cancel either the x or y out to solve so i'm going to cancel the x.
-5(2x+3y= -17)
2(5x+2y= -4)
This simplifies to:
-15x -15y=85
15x+4y= -8
The -15x and 15x cancel out leaving you:
-15y=85
4y= -8
You add them top numbers by the bottom and get:
-11y=77
Then divide by -11 to get y by its self.
y= -7
Now that you know what y is just plug it in to either original problem. I will use the second one.
5x + 2(-7) = -4
5x -14 = -4
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x = 2
So the answer is (2,-7) or x=2 and y=-7

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2 years ago

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Which proportion could be used to find the length of side b?​

Which proportion could be used to find the length of side b?