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4 years ago

Using y=mx+b Solve 5y + 3x = 10

1 answer:

6 0

First, move x variable to the other side of the equation. (5y+3x-3x=10-3x)
Simplify. (5y=10-3x).
Now to get the y value alone, we divide all the variables by 5. (5y/5=10/5-3x/5)
Simplify. (y=2-3/5x)
Y=2-3/5x is your final answer.
Hope this helped!

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3 years ago

Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

Serhud [2]

Answer:

The area of a rhombus is $18\sqrt{3}$ square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

$\sin (60)=\frac{h}{6}$

$\frac{\sqrt{3}}{2}=\frac{h}{6}$

Multiply both sides by 6.

$3\sqrt{3}=h$

The height of the rhombus is $3\sqrt{3}$ .

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Therefore, the area of a rhombus is $18\sqrt{3}$ square units.

8 0

3 years ago

Read 2 more answers

A car travels at constant speed for 7 days and covers 1500 miles. What is the speed in centimeters/minute? You may use the (appr

zvonat [6]

Answer:

Speed = 23809.52 cm/min

Step-by-step explanation:

Given : A car travels at constant speed for 7 days and covers 1500 miles.

To find : What is the speed in centimeters/minute

Solution : Formula to find speed is

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Distance traveled = 1500 miles and time taken = 7 days

$\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}$

Now, we have to convert miles into centimeter and days into minutes.

1 day = 24 hours

1 hour= 60 minute

24 hr= 24×60 minute

1 day = 24×60 minute

7 days = 7×24×60 minute = 10,080 minute

Now, 1 mile = 8/5 km = 1.6 km

1 km= 100000 cm

1.6 km = 1.6 × 100000 cm

1 mile = 1.6 × 100000 cm

1500 miles = 1500×1.6 × 100000 cm = 240,000,000 cm

Put back the values into speed

$\text{Speed}=\frac{\text{1500 miles}}{\text{7 days}}$

$\text{Speed}=\frac{\text{240,000,000 cm}}{\text{10,080 minute}}$

$\text{Speed}=\text{23809.523 cm/minute}$

Therefore, speed = 23809.52 cm/min

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3 years ago

Read 2 more answers

The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg?

d1i1m1o1n [39]

Answer:

40 mm

Step-by-step explanation:

It's 40 mm because the Pythagorean Theorem explains a^2 + b^2 = c^2.

This means the unknown number plus 30^2 = 50^2

What you want to do is 50^2 - 30^2= 20^2; which would be 2500-900=1600.

You got 1600 but that isn't your final answer. You want to find the square root 1600. So 1600 square rooted is 40.

40 mm is your final answer.

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3 years ago