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Virty [35]
3 years ago
9

2+6y=3x+4 write the equation so that y is a function of x

Mathematics
2 answers:
Rasek [7]3 years ago
6 0

Answer:

y = x/2 +1/3

Step-by-step explanation:

soln.

2+6y = 3x +4

6y = 3x +4-2

6y = (3x + 2)

y = (3x + 2)/6

y = x/2 +1/3

plz..

mark it as a brilliant answer

Anna007 [38]3 years ago
5 0

Start with

2+6y=3x+4

Subtract 2 from both sides:

6y=3x+4-2 \iff 6y=3x+2

Divide both sides by 6:

y=\dfrac{3x+2}{6}

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Solve the triangle. Round your answers to the nearest tenth.
Tresset [83]

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

6 0
3 years ago
Bandi jogged 2 1/2 miles for 30 minutes. Sharna jogged 3 1/2 miles in 3/4 hours. Who jogged at a slower rate?
nevsk [136]
Bandi jogged at a slower rate. Bandi’s rate: 12 minutes a mile Sharna’s rate: 12.8 minute miles
3 0
3 years ago
Connor is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square Inches? 9 inches 2.5 i
antoniya [11.8K]

Answer:

87.5 square inches

Step-by-step explanation:

The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.

Area of the belt knuckle = area of the 4 triangles + area of the rectangle

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 9 inches

height (h) = 2.5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*9*2.5)

= 22.5 inches²

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 4 inches

height (h) = 5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*4*5)

= 20 inches²

✔️Area of the rectangle = l*w

l = 9 inches

w = 5 inches

Area = 9*5 = 45 inches²

✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches

3 0
3 years ago
A gas at standard temperature and pressure was measured as having a mass of 1485 grams (g) in a volume of 750 liters (L). Which
tangare [24]

Answer:

Here we will use the relation:

Density = mass/volume.

We know that:

Mass = 1485g

Volume = 750L

Density = 1485g/750L = 1.98 g/L

We do not have the options in order to select the correct one, but knowing this density, we can suppose the possible gases.

Two "common" gases with densities similar to this one are:

Carbon Dioxide, with d = 1.977 g/L

Dinitrogen Monoxide, with d = 1.977 g/L

In both cases, if we round up we will get the same density that we calculated at the beginning, so either of these can be the correct option.

6 0
3 years ago
Roman art differed slightly from the Greek style because it included __________ on sculpted and painted faces. A. beards B. eyeb
sineoko [7]

A Beards, Beards where a fashion choice back then, just like how wemon had black teeth and white painted faces!

4 0
3 years ago
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