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2 years ago

A parking lot in the shape of a parallelogram has a length of

Mathematics

1 answer:

OLga [1]2 years ago

8 0

Answer:

C. 1 centimeter = 30 meters

$10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m$

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Hassem and his family cut an apple pie into 5 equal slices and a blueberry pie into 10 equal slices. They ate 3/5 of the apple p

shtirl [24]

So set up an equation to answer

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2 years ago

Read 2 more answers

What is the value of x?<br><br> x=____

I am Lyosha [343]

Equilateral triangle means each angle equals 60 degrees.

60 = 7x - 3

63 = 7x

x = 9

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2 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

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

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

A drawing has a scale 1/4 in: 12ft. How long is 8ft?

allochka39001 [22]

If you use a proportion, you'll get:

$\frac{0.25}{12} = \frac{x}{8}$

Then, you use cross products:

$12x=0.25(8) \\ 12x=2$

Then, you algebraically solve x:

$12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3}$

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.

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3 years ago

Give each rate in miles per hour:

DIA [1.3K]

a) 9/212 = #mph

b)0.000142045 Miles / 0.000277778 hours = # mph

Step-by-step explanation:

a) 9/212 = #mph

1)9 inches divide the length value by 63360 is 0.000142045 Miles

2) 1 hour 3600 seconds in ones hour so 1/3600 =0.000277778

3) take miles/hour

0.000142045 Miles / 0.000277778 hours = # mph

6 0

2 years ago