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3 years ago

Write a sequence that has three arithmetic means between 35 and 45

Mathematics

1 answer:

klasskru [66]3 years ago

5 0

45 - 35 = 10
so we divide by 4 10/4 = 2.5
The sequence is 35, 37.5, 40, 42.5, 45

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A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?

nirvana33 [79]

Answer:

$Area = 26478cm^2$

Step-by-step explanation:

Given

See attachment for desk

Required

The area

First, calculate the area of the semicircular cutout

$Area = \frac{\pi r^2}{2}$

Where

$r = 60cm$

So:

$A_1 = \frac{3.14 * 60^2}{2}$

$A_1 = \frac{11304}{2}$

$A_1 = 5652cm^2$

Next, the area of the complete trapezium

$Area= \frac{1}{2}(a + b) * h$

Where

$a = 300$

$b = 2 * r = 2 * 60 = 120$

$h = 153$

So:

$A_2 = \frac{1}{2} * (300 + 120) * 153$

$A_2 = \frac{1}{2} * 420 * 153$

$A_2 = 32130cm^2$

The area of the desk is:

$Area = A_2 - A_1$

$Area = 32130cm^2 - 5652cm^2$

$Area = 26478cm^2$

8 0

3 years ago

If $10,000 is invested in an account at 4.8% annual simple interest, how long will it take for the account balance

Lesechka [4]

10000+4.8%=10480
10480+4.8%=10983.04
10983.04+4.8%=11510.22592

so 3 years

7 0

3 years ago

Read 2 more answers

The area of a rectangle in 24 units. A diagonal drawn from one corner to another divides the rectangle into two right triangles.

nlexa [21]

Answer:

12 sq u

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, assuming the shaded triangle is one of those two triangles, its area would be 12 sq u.

Why? Because its length would be the same as the retances, as would its height, and to find the area of a triangle, you'd do L*H/2 which would be 24/2=12 sq u

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

7 0

3 years ago

Select the correct answer from each drop-down menu.

Ostrovityanka [42]

Answer:

Both questions are true.

Step-by-step explanation:

The general mathematical equation of a line can be written as $y = ax + b$ .

If we rearrange the two equations given in the question as follows:

$5y = 3x + 22$ and $20y = 12x + 11$

We can see that they follow the general equation we defined earlier so we can say that they represents linear lines.

The $20y = 12x + 88$ given in the second question also represents a similar linear line with a different slope.

So the two questions are both true.

I hope this answer helps.

4 0

3 years ago

A concrete truck loaded with concrete weighs about 30 tons. About how many pounds does the loaded truck weigh? Show your work.

Rudik [331]

1 ton = 2000 ponds

Multiply: 2000x30=?

2000x30=60000

Hope that helped:)

5 0

3 years ago