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2 years ago

The volume of a cube is 27 cm^3 . Find the length of the side. Help please

Mathematics

1 answer:

a_sh-v [17]2 years ago

5 0

Answer:a=3cm

Step-by-step explanation:

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Max makes a scale drawing of distance between salt lake city and Arizona. The distance between salt lake city and Arizona is 21

Elena L [17]

750 kilometers. 21 divided by 7 is 3. If 7 cm equals 250 km, then 7 × 3 = 250.

8 0

3 years ago

The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?

lozanna [386]

Answer: SECOND OPTION.

Step-by-step explanation:

Given the following point identified as "A":

$A(-1,4)$

You can identify that the x-coordinate of the point is:

$x=-1$

And its y-coordinate is:

$y=4$

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.

Therefore, you can conclude that the rule that best describe the translation of the point $A(-1,4)$ is the following:

$(x,y)$ → $(x+5,y-3)$

Then, the point translated is:

$A'(-1+5,\ 4-3)$ → $A'(4,1)$

6 0

3 years ago

Read 2 more answers

The center of a circle is at (-5 12) and it has a radius of 16. what is the equation of the circle?

Naya [18.7K]

Answer:

(x+5)^2+(y-12)^2=256

Step-by-step explanation:

Comparing the given (x+5)^2+(y-12)^2=256

to (x - h)^2 + (y - k)^2 = r^2,

we see that h must be -5, k must be 12 and r must be 16. This is the desired equation of the circle with center at (-5, 12) and radius 16.

4 0

3 years ago

Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

3 years ago

Find the measure of angle 1

kaheart [24]

Answer:

112*

Step-by-step explanation:

( 360 - 46 - 90 ) ÷ 2 = 112

8 0

2 years ago