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2 years ago

The 80th term of an arithmetic sequence is twice the 30th term. If the first term of the sequence is 7, what is the 40th term?

1 answer:

8 0

It seems that "d" or the common difference is a number that makes the sequence go into the larger positive realm of numbers. Therefore, 2*(7+30d)=7+80d. d=35/100. Now just do 7 + 40(35/100) = 21. 21 is your answer!

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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th

Vladimir [108]

Answer:

The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $\frac{AC}{BC}$ = $\frac{h}{d}$

And sin Ф = $\frac{AB}{BC}$ = $\frac{5500}{d}$

∵, cos²Ф = 1 - sin²Ф

So, $(\frac{h}{d})^{2}$ = $1 - (\frac{5500}{d})^{2}$

Or, $(\frac{h}{d})^{2}$ = $(\frac{d^{2}- 5500^{2}}{d^{2}})$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^{2}- 5500^{2}}$

Or, h = $\sqrt{(d + 5500) (d - 5500)}$

Hence The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$ Answer

3 0

3 years ago

Please solve all of the questions!! GIVING BRAINLIEST

Kaylis [27]

Answer:

the pic blurry

Step-by-step explanation:

6 0

2 years ago

Solve the equation for the unknown variable.<br><br> z³ = 10,648

Svetllana [295]

<span>z³ = 10,648
</span>z³ = 22³
z = 22

7 0

3 years ago

Translate and simply: subtract 18 from -11

navik [9.2K]

Answer: -29

Subtract 18 FROM -11.
That means that 18 would go after -11.

-11 - 18 = -29

4 0

3 years ago

Part 1

I am Lyosha [343]

Answer:

Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000 5.7909 X10^7

Venus 108.212.290.56 1.0821229056 X10^8

Earth 149,604,618.24 1.4960461824 X10^8

Mars 227,936,640 2.2793664 X10^8

Jupiter 778,412,020 7.7841202 X10^8

Saturn 1,433,442,700.8 1.4334427008 X10^9

Uranus 2,870,972,200 2.8709722 X10^9

Pluto 5,906,380,000 5.90638 X10^9

Step-by-step explanation:

4 0

3 years ago