0.7x+6=0.3(4x+6)−2x

Mathematics

2 answers:

Gelneren [198K]4 years ago

8 0

Answer: $x=-2.8$

Step-by-step explanation:

Given the following equation:

$0.7x+6=0.3(4x+6)-2x$

You can follow these steps in order to solve for "x" and find its value:

1. Apply Distributive property on the right side of the equation:

$0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x$

2. Subract $0.7x$ from both sides and add the like terms:

$0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8$

3. Subtract 1.8 from both sides:

$6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x$

4. Finally, divide both side of the equation by -1.5:

$\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8$

MakcuM [25]4 years ago

3 0

Answer:

x=-2.8

Step-by-step explanation:

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The lengths of the three sides of a triangle (not necessarily a right triangle) are 3.16 meters, 8.25 meters and 10.4 meters. wh

Dafna1 [17]

For non-right triangles you must use the "Law of Cosines" and then, the "Law of Sines" to solve this.

a= 8.25m
b= 10.4m
c= 3.16m
∠A= UNKNOWN
∠B= UNKNOWN
∠C=UNKNOWN

Law of Cosines:
c²= a²+b²-2abCos(C)
(3.16)²= (8.25)²+(10.4)²- 2(8.25)(10.4)(cos(C))
9.9856 = 68.0625 + (108.16) - (171.6)(cos(C)
9.9856 = 176.2225- 171.6 cos C
-166.2369= - (171.6(cosC))
cosC= 0.968746503
Take the inverse cosine of that to get the measure of angle C
∠C= 15.95813246°

Now Use law of sines to find ∠B:
$\frac{10.4}{Sin(B)} = \frac{3.16}{sin(15.96)}$
$\frac{10.4}{Sin(B)} =12.73922$
$10.4 =12.73922115(sinB)$
$sinB= 0.816276439$
(take the inverse sine to get the measure of ∠B)
∠B= 60.8040992°


Answer:
The angle measures approximately 60.80°.