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3 years ago

Find a direct relationship between x and y. x = 3t and y = 2t + 7

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

y = $\frac{2}{3}$ x + 7

Step-by-step explanation:

Given

x = 3t ( divide both sides by 3 )

$\frac{1}{3}$ x = t

Substitute this value into y = 2t + 7

y = 2 × $\frac{1}{3}$ x + 7 = $\frac{2}{3}$ x + 7

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3 years ago

Help!!!!!111! (picture shown) Math.... Help fast

Nana76 [90]

Answer:

Step-by-step explanation:

Hi,

2πr is the formula for circumference, you know your diameter is 4cm and radius is half of the diameter, so your radius is 2cm.

To find the circumference, you have to multiply 2 by 2 and pie. 2 x 2 is 4. So 4 times pie. B is your correct answer.

I hope this helps :)

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3 years ago

Tlachihualtepetl is a pyramid in Mexico. Each side of the base measures 450 meters and had an original height of 66 meters. How

LenKa [72]

Answer:

44,55,000 cubic meters of treasure could fit the pyramid.

Step-by-step explanation:

We are given the following in the question:

Base measure = 450 meters

Height = 66 meters

The volume of the pyramid is given by:

$V = \dfrac{AH}{3}$

where A is the ares of the base and H is the height of the pyramid.

Putting values, we get,

$V = \dfrac{1}{3}\times (450\times 450) \times 66\\\\V = 4455000\text{ cubic meters}$

Thus, 4455000 cubic meters of treasure could fit the pyramid.

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3 years ago

Simplify. -9 -5 -7 х Y Z 2 6 3 X Y Z

krok68 [10]

Answer:

$= {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

Step-by-step explanation:

$= \frac{ {x}^{ - 9} {y}^{ - 5} {z}^{ - 7} }{ {x}^{2} {y}^{6} {z}^{3} } \\ = {x}^{ - 9 - 2} {y}^{ - 5 - 6} {z}^{ - 7 - 3} \\ = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

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3 years ago

A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?

Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = $\pi$ r²

The formula to find the circumference of a circle is :

c = 2 $\pi$ r

In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2 $\pi$ )

Now we use this to replace "r" in the area formula :

a = $\pi$ ( c ÷ (2 $\pi$ ))²

When we simplify this we get :

a = c² ÷ 4 $\pi$

Now you can put your value of "c" into this equation and find "a".

*Remember, $\pi$ is about 3.1416.

Solving for "a" :

a = c² ÷ 4 $\pi$

a = 28² ÷ 4 $\pi$

28² = 28 × 28 = 784

a = 784 ÷ 4 $\pi$

4 $\pi$ = 4 × $\pi$ = 12.56637061435917

a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²

You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²

There you go! I really hope this helped, if there's anything just let me know! :)

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3 years ago