Three consecutive even integers have a sum 78

Write the equation of the line that is parallel to the line 5x+2y=10 and passes through the point (-6,7)

abruzzese [7]

Answer:

I do know

Step-by-step explanation:

7 0

3 years ago

At sea level, the boiling point of water is 100°C. At an altitude of 7 km, the boiling point of water is 75.5°C. Find a linear f

enot [183]

Answer:

$T(8.85\,km) = 69.025\,^{\textdegree}C$

Step-by-step explanation:

Let assume that boiling point of water diminish linearly with the increase on altitude. Then, the expression needed is this first order polynomial:

$T(z) = \frac{75.5\,^{\textdegree}C-100\,^{\textdegree}C}{7\,km-0\,km}\cdot z + 100\,^{\textdegree}C$

The boiling point of water at a height of 8.85 km is:

$T(8.85\,km) = 69.025\,^{\textdegree}C$

7 0

3 years ago

Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

3 years ago

Rectangle ABCD has coordinates A (2, -5), B (-1, -5) and C (-1, -1). What are the coordinates of point D?

Stels [109]

Answer:

D = (2,-1)

Step-by-step explanation:

Given Rectangle ABCD has coordinates A (2, -5), B (-1, -5) and C (-1, -1)

By graphing the given points, we can deduce the point D

See the attached figure.

The point D will be the intersection of the lines x = 2 and y = -1

So, the point D = (2,-1)

5 0

3 years ago

A group of four people share 1/2 pounds of almonds how many pounds of almonds‘s as each person yet do you know equation you can

Mama L [17]

Answer: 4+1/2=lb*p

Step-by-step explanation:you need to know how may lbs of almonds they have but thats my best gess

8 0

3 years ago

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