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3 years ago

The present shown below is a cube.

Mathematics

2 answers:

Law Incorporation [45]3 years ago

4 0

Answer:

1350 cm^2

Step-by-step explanation:

adoni [48]3 years ago

3 0

<h3>Answer: 1350 square cm</h3>

===============================================

Explanation:

Each face of the cube is a square with side length 15. The area of the square is s^2 = 15^2 = 225. There are 6 faces, so 6*225 = 1350

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In terms of a formula, the surface area of a cube is

SA = 6s^2

plugging in s = 15 gives

SA = 6*15^2

SA = 6*225

SA = 1350

Basically it's the same sort of steps as before.

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James and Cameron are watching a film. They pause it with one fifth left to watch. What is the ratio of how much they have watch

goldenfox [79]

Answer:

The ratio of how much they have watched to how much they have left to see is 4 : 1.

Step-by-step explanation:

Consider that the total duration of the film is, 1.

It is provided that James and Cameron paused when there is one-fifth left to watch.

That is, they have already watched, $1-\frac{1}{5}=\frac{4}{5}$ th of the film.

Compute the ratio of how much they have watched to how much they have left to see as follows:

$\frac{\text{Duration Watched}}{\text{Duration Left}}=\frac{4/5}{1/5}=\frac{4}{1}=4:1$

Thus, the ratio of how much they have watched to how much they have left to see is 4 : 1.

5 0

3 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

Simplify 10(N + 3).<br><br> 10N + 30<br> 10N + 13<br> 10N + 3

In-s [12.5K]

10(N + 3)

= 10N + 30

Hence, the answer is A.

3 0

3 years ago

Read 2 more answers

Plz help me I can't get these wrong plz help meeeee

Vika [28.1K]

Answer: w<0

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the radius of the circle ? (X-3^2+(y-4)^2=49

vodomira [7]

Answer:

7 units

Step-by-step explanation:

The formula for a circle is: $(x-x_1)^2+(y-y_1)^2=r^2$ , where (x_1, y_1) is the center of the circle and r is the radius.

Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.

Thus, the answer is 7 units.

Hope this helps!

5 0

3 years ago