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2 years ago

Find the common difference of the arithmetic sequence -14, -5, 4, ...

Mathematics

1 answer:

torisob [31]2 years ago

3 0

The correct answer is 9

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Express 9/41 as a decimal.

GenaCL600 [577]

0.2195 hope this helps

5 0

2 years ago

Read 2 more answers

Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and

Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is $\frac{\sqrt{70}}{2}\ cm$

The length of the rectangle is $2\sqrt{70}\ cm$

Part b) Approximately values

The width of the rectangle is $4.2\ cm$

The length of the rectangle is $16.7\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

$A=LW$

we have

$L=4x\ cm\\W=x\ cm$

substitute the values in the formula

$A=4x(x)$

$A=4x^2$

$A=70\ cm^2$

$70=4x^2$

Solve for x

Divide by 4 both sides

$\frac{70}{4}=x^2$

square root both sides

$x=(+/-)\frac{\sqrt{70}}{2}$

The solution is the positive value

$x=\frac{\sqrt{70}}{2}$

therefore

Exactly values

$L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm$

Approximately values

$L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm$

6 0

2 years ago

Area and Perimeter of a rectangle that is 92 meters long and 18 meters wide

tensa zangetsu [6.8K]

a= 92(18) =1656

Area= 1656m

p= 2(92+18) =220

Perimeter= 220m

5 0

2 years ago

Susie is visiting China from the U.S. One day she stopped by a market and found a stall selling tomatoes for 15.65 yuan per kilo

liq [111]

Answer:

1st blank is 0,14 dollars/1yuan, and 2nd blank is 1kg/2.2lb

Step-by-step explanation:

5 0

2 years ago

Solving for an Unknown Using the Distributive Property

ArbitrLikvidat [17]

Complete Question:

The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

Answer:

The numerator of fraction is -360

Solution:

Given that,

The equation represents the angle measures, a, in a regular n-sided polygon is:

$a = \frac{180(n - 2)}{n}$

We have to solve the equation for "n"

Rearrange the equation

$a \times n = 180(n - 2)\\\\a \times n = 180n - 360\\\\an - 180 n = -360\\\\Take\ n\ as\ common\ factor\\\\n(a-180) = -360\\\\n = \frac{-360}{a - 180}$

Thus the numerator of the fraction is -360

4 0

2 years ago