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3 years ago

Find the measurement of angle a. ∠a =

Mathematics

1 answer:

Softa [21]3 years ago

3 0

To find the measure of angle a, subtract 151 from 180. (Reason: line w equals 180º, and the second angle is the same size as the 151º angle.)

180 - 151 = 29

<h2>Answer:</h2>

<u>Angle a = </u><u>29º</u>

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What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??

vivado [14]

Successive terms have a common factor of $-\dfrac23$ , which means the $n$ th partial sum of the series can be written as

$S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}$
$S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}$

$\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)$

$\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)$

As $n\to\infty$ , the geometric term vanishes, leaving you with

$S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5$

7 0

2 years ago

Anybody know how to do this ?

pogonyaev

Hey there!

The interior angles of a triangle equal 180.

We can use this and the measures of the angles we are given to find the missing interior angle.

50+93=143

180-143=37

Since the missing angle (37) and angle x are supplementary, they add up to 180 as well.

37 + x = 180

180 - 37 = 143

x = 143

Hope this helps!

7 0

3 years ago

Read 2 more answers

PLEASE HELP! THiS IS DUE!!!!!!!! I Will MAKE BRAINlST

9966 [12]

Answer:

$\mathrm{26.\qua\:H\quad\:2 \dfrac{ 1 }{ 4 }\qua\:mi}$

$\mathrm{27.\qua\:D\quad\: 9\dfrac{ 1 }{ 8 }\qua\:lb}$

$\mathrm{28.\qua\:H\quad\:14.6}$

$\mathrm{29.\qua\:C\quad\:25\%}$

$\mathrm{30.\qua\:J\quad\:33.912\qua\ ft^{3} }$

Step-by-step explanation:

26.

$\mathrm{\dfrac{ 3 }{ 4 }\:mile\:per\:one\:hour}$

$\mathrm{To\:find\:how\:far\:Jet's\:cousin\:can\:walk\:in\:3\:hours\:,\:we\:multiply\:\dfrac{ 3 }{ 4 }\:by\:3}$

$3 \times \dfrac{ 3 }{ 4 }$

$\mathrm{Express\: 3 \times \left( \dfrac{ 3 }{ 4 } \right)\:as\:a\:singe\:fraction}$

$\dfrac{ 3 \times 3 }{ 4 }$

$\mathrm{Multiply\:3\:and\:3\:to\:get\:9}$

$\dfrac{ 9 }{ 4 }$

$\mathrm{Convert\:\dfrac{ 9 }{ 4 }\:to\:a\:mixed\:number}$

$2 \dfrac{ 1 }{ 4 }$

$\mathrm{So\:she\:can\:walk\:2 \dfrac{ 1 }{ 4 }\:miles\:in\:3\:hours}$

27.

$\mathrm{Since\:we\:want\:to\:find\:how\:many\:pounds\:both\:pumpkins\:weigh\:together,\:we\:have\:to\:add.}$

$5 \dfrac{ 3 }{ 4 } +3 \dfrac{ 3 }{ 8 }$

$\mathrm{Turn\:both\:mixed\:fractions\:into\:improper\:fractions}$

$\dfrac{ 23 }{ 4 } + \dfrac{ 27 }{ 8 }$

$\mathrm{Least\:common\:multiple\:of\:4\:and\:8\:is\:8}$

$\mathrm{Multiples\:of\:4}:\quad4,8,12,16,20$

$\mathrm{Multiples\:of\:8}:\quad8,16,24,32,40$

$\dfrac{ 23 }{ 4 } + \dfrac{ 27 }{ 8 }$

$\mathrm{Convert\: \dfrac{ 23 }{ 4 } \:and\: \dfrac{ 27 }{ 8 } \:to\:fractions\:with\:denominator\:8}$

$\dfrac{ 23 \times 2 }{ 4 \times 2 } + \dfrac{ 27 }{ 8 }$

$\mathrm{Simplify}$

$\dfrac{ 46 }{ 8 } + \dfrac{ 27 }{ 8 }$

$\mathrm{Since\: \dfrac{ 46 }{ 8 }\:and\:\dfrac{ 27 }{ 8 }\:have\:the\:same\:denominators,\:add\:them\:by\:adding\:their\:numerators}$

$\dfrac{ 46+27 }{ 8 }$

$\mathrm{Add\:46\:and\:27\:to\:get\:73}$

$\dfrac{ 73 }{ 8 }$

$\mathrm{Convert\:\dfrac{ 73 }{ 8 }\:to\:a\:mixed\:number}$

$9 \dfrac{ 1 }{ 8 }$

$\mathrm{Both\:pumpkins\:weighed\:9 \dfrac{ 1 }{ 8 }\:pounds\:all\:together}$

28.

Since the question is asking us "How many more miles did Alyce travel than Jason", we have to subtract the miles Jason traveled from the miles Alyce traveled.

$29.193-14.593$

$\mathrm{Subtract\:14.593\:from\:29.193\:to\:get\:14.6}$

$14.6$

$\mathrm{Alyce\:traveled\:14.6\:more\:miles\:than\:Jason}$

29.

For this question, we must find "10 is what percent of 40"

The equation for this is:

$\dfrac{ 10 }{ 40 } \times 100$

$\mathrm{Simplify\: \dfrac{ 10 }{ 40 } \:to\: \dfrac{ 1 }{ 4 } }$

$\dfrac{ 1 }{ 4 } \times 100$

$\mathrm{Multiply\: \dfrac{ 1 }{ 4 }\:and\:100\:to\:get\: \dfrac{ 100 }{ 4 } }$

$\dfrac{ 100 }{ 4 }$

$\mathrm{Divide\:100\:by\:4\:to\:get\:25}$

$25$

$\mathrm{So\:she\:recieved\:a\:25\%\:off\:discount}$

To check if this is correct, you can do the following below:

What is 25 percent (%) off $40?

Use the formula and replace the given values:

Amount Saved = Original Price x Discount % / 100. So,

Amount Saved = 40 x 25 / 100

Amount Saved = 1000 / 100

Amount Saved = $10

In other words, a 25% discount for an item with original price of $40 is equal to $10

30.

Given that the calculated volume of the drum is 37.68 ft³ and it is 90% full, it implies that the current volume is calculated as:

$\mathrm{Current\:compacity} = 90 \% \times 37.68$

$\mathrm{Turn\:90\%\:into\:a\:decimal}$

$\mathrm{Current\:compacity} = 0.9 \times 37.68$

$\mathrm{Multiply\:0.9\:and\:37.68\:to\:get\:33.912}$

$33.912$

$\mathrm{The\:current\:compacity\:of\:the\:drum\:is\:33.912\:ft^{3} }$

8 0

2 years ago

Which math expression means "the difference of 40 and 12"?

blsea [12.9K]

Answer:C

Step-by-step explanation:This is because c has subtract sign and you are trying to find the difference and difference you need to subtract.And you need to find the difference of 40 and 12 so u write 40- 12 which is choice c.

Hope it helps and it does please give Brainliest .Thanks ;)

6 0

2 years ago

Help on horizontal asymptote!

user100 [1]

Answer:

A. None

Step-by-step explanation:

They are no horizontal asymptotes. I get helped from another website when comes to graphs and looking for asymptotes. Good luck on your exam!

7 0

3 years ago

Read 2 more answers