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2 years ago

13

Solve for x, y, and z. Show all your work.

1 answer:

hjlf2 years ago

5 0

Answer:

1. X= - -4+y-z/3

Step-by-step explanation:

1. -6x-2y+2z=-8

1. Subtract -2y+2z from both sides -6x-2y+2z-(-2y+2z)=-8-(-2y+2z)

1. Simplify -6x=-8+2y-2z

1. Divide both sides by -6 -6x/-6 = - 8/-6+ 2y/-6 - 2y/-6

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Sin5A/SinA-cos5A/cosA=4cos2A

irina1246 [14]

Answer:

See Explanation

Step-by-step explanation:

$\frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved$

5 0

3 years ago

The school is 3.64 miles from Tonyas house and 1.29 miles from Jamal's house.

SpyIntel [72]

Answer:

2.35 miles

Step-by-step explanation:

5 0

2 years ago

There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the dance recital

posledela

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

There were 240 men at the recital.

5 0

2 years ago

tatiyna

Answer:

45%

Step-by-step explanation:

3 0

3 years ago

A dome of a building is in the form of a hemisphere from inside it was whitewashed at the cost of rupees 4989.60 if the cost of

Luda [366]

Answer: $249.48\ m^2; 369.168\ m^3$

Step-by-step explanation:

Given

Cost of white-washing =Rs. 4989.60

Rate =20 per meter square

So, inside area of = $\dfrac{4989.60}{20}=249.48\ m^2$

The surface area of dome= $4\pi\ r^2=249.48$

$4\times 3.142\times r^2=249.48\\r^2=\frac{249.48}{4\times 3.142}=19.85\\r=4.455\ m$

The volume of air in the dome $V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\cdot 3.142\cdot (4.45)^3\\V=369.17\ m^3$

6 0

2 years ago