Write and simplify an expression that represents the perimeter of the parallelogram.

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

2(5x+7) + 2(8x-9)
= 10x + 14 + 16x - 18
= 26x - 4

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Which list shows fraction that ALWAYS result in a terminating decimal for values of n > 0? A) 1/11, 1/121, 1/1331 . . . , 1/1

Alla [95]

Answer:

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Step-by-step explanation:

Comparing all the options given:

A) 1/11, 1/121, 1/1331 . . . , 1/11n

Finding the decimal of the first term,

1/11 = 0.0909090 (never ending decimal place)

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Finding the decimal of the first term,

1/10 = 0.01 (ended decimal place)

C) 1/6, 1/36, 1/126 . . . , 1/6n

Finding the decimal of the first term,

1/6 = 0.16666667 (never ending decimal place)

D) 1/3, 1/9, 1/27 . . . , 1/3n

Finding the decimal of the first term,

1/3 = 0.33333333 (never ending decimal place)

7 0

3 years ago

Read 2 more answers

Which decimal is equivalent to 7.5%?

Blizzard [7]

Answer:

0.075

Step-by-step explanation:

To convert 7.5% to a decimal you would simply divide 7.5 by 100.

1) Divide 7.5 by 100.

$7.5/100=0.075$

5 0

3 years ago

One of the diagonals of a parallelogram is its altitude. What is the length of this altitude, if its perimeter is 50cm, and the

Digiron [165]

A
   ]
   |
   |_________________
   D    | B
|
|
   C

Let ABCD be this parallelogram
AB + BC + CD + DA = 50, but AD = BC and AB = DC, Then:
2.AD + 2.AB = 50 and :
AD+AB = 25 . We also know that AB+1 = AD (Given), then:
AD + (AD+1) = 25
2.AD = 24
AD = 12, THEN AB = 12+1=13
Calculate DB the diagonal perpendicular to AD, using Pythagoras:

AD² + DB² = AB²
12² +DB² = 13²
DB² = 13² - 12² = 25
AND DB= 5

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3 years ago

Need help question #4. Show steps please

poizon [28]

Answer:

Step-by-step explanation:

We are given the integral:

$\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx$