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Arada [10]
3 years ago
10

1 over 3+3over 5 equals

Mathematics
1 answer:
avanturin [10]3 years ago
7 0

\frac{1}{3}+ \frac{3}{5}

\frac{5}{15}+ \frac{9}{15}

Since the denominators are equal to, its going to be combine by the fraction.

\frac{5+9}{15}

Finally add by the numbers.

9+5=14

Final answer: \boxed{=14/15}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

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A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag
Sveta_85 [38]

Answer:

\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s

where B stands for Base area

and P for Base Parimeter

so

\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s

now we need our algebraic skills to figure out s

simplify parentheses:

\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144

reduce fraction:

\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32}  \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144

simplify multiplication:

\displaystyle \: 16s + 64 = 144

cancel 64 from both sides;

\displaystyle \: 16s = 80

divide both sides by 16:

\displaystyle \: \therefore \: s = 5

now we'll use Pythagoras theorem to figure out height

according to the theorem

\displaystyle \:  {h}^{2}  +  (\frac{l}{2} {)}^{2}  =  {s}^{2}

substitute the value of l and s:

\displaystyle \:  {h}^{2}  +  (\frac{8}{2} {)}^{2}  =  {5}^{2}

simplify parentheses:

\displaystyle \:  {h}^{2}  +  (4 {)}^{2}  =  {5}^{2}

simplify squares:

\displaystyle \:  {h}^{2}  +  16  =  25

cancel 16 from both sides:

\displaystyle \:  {h}^{2}   =  9

square root both sides:

\displaystyle \:   \therefore \: {h}^{}   =  3

recall the formula of a square pyramid

\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h

where A stands for Base area (l²)

substitute the value of h and l:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  \{8 \times 8 \}\times 3

simplify multiplication:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  64\times 3

reduce fraction:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times  64\times \cancel{ \:  3}

hence,

\sf\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

8 0
3 years ago
If a number is decreased by 8, the result is -21. What is the
wariber [46]

Answer:

answer = -13

Step-by-step explanation:

number = x

x - 8 = -21

x = -21 + 8

  = -13

Recheck :

num = - 13

decreased by 8 = - 13 -8 = -21

4 0
3 years ago
Find the greatest common factor of 27, 9, and 45.
Anna [14]

Answer:

9

Step-by-step explanation:

hope that this is helpful.

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What is the measure of Zx?
MA_775_DIABLO [31]

Answer:

x = 139º

Step-by-step explanation:

A line = 180º

180º - 41 º = 139º

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If waffles are $3 a piece, how much would it cost for 26 waffles?<br><br> 
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It will cost atleast 78 dollars
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