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3 years ago

The original rectangle is 120 centimeters. Calculate the length of a rectangle that is 72% shorter.

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

33.6 cm

Step-by-step explanation:

120 x 0.72 = 86.4

120 - 86.4 = 33.6

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Rufus invest 10,000 in a savings account that pays 3.5 simple interest each year. If Rufus makes no withdrawal or deposits to th

IgorC [24]

Answer:

$1272.28

Step-by-step explanation:

Our equation is

$p*(1+x)^{t}$ , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

$1000*(1+0.035)^{7}$ = around 1272.28

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3 years ago

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36. Divide 30 by 5 and multiply by 6 which equals 36

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3 years ago

Multiple-Choice Integration, Picture Included, Please Include Work

ValentinkaMS [17]

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx$

Recall that a circle of radius 2 centered at the origin has equation

$x^2+y^2=4\implies y=\pm\sqrt{4-x^2}$

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius $r$ is $\pi r^2$ , it follows that the area of a quarter-circle would be $\dfrac{\pi r^2}4$ .

You have $r=2$ , so the definite integral is equal to $\dfrac{2^2\pi}4=\pi$ .

Another way to verify this is to actually compute the integral. Let $x=2\sin u$ , so that $\mathrm dx=2\cos u\,\mathrm du$ . Now

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du$

Recall the half-angle identity for cosine:

$\cos^2u=\dfrac{1+\cos2u}2$

This means the integral is equivalent to

$\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi$

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3 years ago

The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.

Naddik [55]

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108
The 6th term is 108

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3 years ago

Graph the following number on the number line below <br> 16/4, -2.7, 1.75, 1/5

Papessa [141]

Assuming that you need to place the numbers on a number line;

1) Convert all numbers in one form, be it fraction or decimals

16/4 = 4
-2.7 = -2.7
1.75 = 1.75
1/5 = 0.2

2) Draw a number line with zero in the middle and positive numbers going to the right. The negative numbers go on left.

3) Place the decimal/fraction numbers into the number line, using a constant interval.

Hope I helped :)

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4 years ago