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3 years ago

What should you do first to simplify the expression (43 + 9) ÷ 76 + 5?

Mathematics

1 answer:

Vaselesa [24]3 years ago

5 0

Do the parentheses first

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A car is traveling at a speed of 45 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers w

oee [108]

Answer:

24 kilometers

Step-by-step explanation:

1.2 kilometers per minute; 12 kilometers

Step-by-step explanation:

We know that 60 minutes makes 1 hour.

Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:

72 / 60 = 1.2 kilometers per minute.

Distance is given as speed multiplied by time.

Therefore, in 10 mins, the car travels:

1.2 * 20 = 24 kilometers.

7 0

3 years ago

Which represents a perfect cube? 6 times 6 times 6 6 + 6 + 6 3 times 3 times 3 times 3 3 + 3 + 3 + 3 + 3

mojhsa [17]

Answer:

6 times 6 times 6

Step-by-step explanation:

6 x 6 = 6²

Therefore 6 x 6 x 6 = 6³

4 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

Calculate the area of each figure.<br><br> (PLS HELP )

Eduardwww [97]

I think u should cut at tpo and the bottom so u will get triangle and a rectangle. Then u calculate the triangle part which is 1/2 x (17-7) x (22-10) = ?
Then u calculate the rectangle part L x B which is 10 x 17 = ? Then when you have the ans already, add them!

8 0

3 years ago

Determine which postulate or theorem can be used to prove that ABC = DCB.

Sever21 [200]

Answer:

I believe it is B

Step-by-step explanation:

it has somewhat some thing to do with the lines at BC it's had to put in words

6 0

2 years ago