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Paul [167]
3 years ago
5

Solve -5=3/4x-2 please solve ???

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

x=−4

Step-by-step explanation:

i hope this help you

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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
2 years ago
Im so bad at math. Help please!
Ulleksa [173]
Answer is C. Granted gas prices are fixed. if you buy 1 gallon.. price is x. if you buy 2 gallons, price is 2x. and so on. constant rate of change.
6 0
3 years ago
a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B
galben [10]

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25


P(A/B)=9/24

P(A/B)=0.375


Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent


Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

8 0
3 years ago
Read 2 more answers
A video lasts 6.44 minutes about how long does the video last, rounded to the nearest minute.
Umnica [9.8K]
<span>The video last for about 6.44 minutes. Rounded to the nearest minutes
=> So let’s simplify the given equation
=> 6.44 minutes in where 6 = minutes, 44 = seconds.
Now, we have our minute’s value which is 6, let us start the rounding
=> 6.44, the number that follows the 6 is a decimal number which is 4.
4 is below 5, so we need to follow the rounding rule. This will round down.
=> 6 minutes
Therefore, the video lasts for about 6 minutes.


</span>



8 0
3 years ago
Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 24
pychu [463]

Perimeter (P) = 2L + 2w


68 = 2L + 2w


68 - 2L = 2w


2(34 - L) = 2(w)


34 - L = w


********************                                


Area (A) = L * w


     240 = L (34 - L)


     240 = 34L - L²


L² - 34L + 240 = 0


(L - 10)(L - 24) = 0


L = 10  or  L = 24


w = 34 - L   = 34 - 10   = 24      or      w = 34 - 24   = 10


Answer: width = 10, length = 24   assuming length is bigger than the width


6 0
3 years ago
Read 2 more answers
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