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4 years ago

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There are 17.8 grams of salt in a solution. If 5.9 grams of salt are added to the solution, how many grams of salt will be in th

e

1 answer:

astraxan [27]4 years ago

4 0

Answer:

Step-by-step explanation:

2

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Eva incorrectly classifies the quotient -(-81/-9) as positive.

NISA [10]

The answer is negative because, ( -81/-9) =(+9). -(+9) = -9. Maybe for got the - sign before the equation

6 0

3 years ago

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,

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

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3 years ago

Scar goes to the gym 4 times per week. Every time he walks 5 miles on the 4 points

steposvetlana [31]

Answer:

He walks 1,060 miles on the tremil in one year.

Step-by-step explanation:

4*5=20*53=1,060

There are 53 sometimes 52 weeks in a year,2020 wise 53 so 53*20=1,060 miles.

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3 years ago

7/10 write the fraction of the sum of fractions three different ways

mote1985 [20]

14/20 21/30 28/40 are the equivalent fractions

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3 years ago

Read 2 more answers

Please answer correctly, im giving 45 points and brainliest. You get like 25 points

Aleonysh [2.5K]

c. Roller Rink F charges 1.00 more per person than roller rink G.

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3 years ago