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seraphim [82]
3 years ago
13

What is the greatest common factor of 3x^4, 15x^3, and 21x^2?

Mathematics
2 answers:
slamgirl [31]3 years ago
8 0

The greatest common factor of these values is 3x^2. 3x^2 is the value that can be taken out of all of the other values.

crimeas [40]3 years ago
5 0

Answer:

3x

Step-by-step explanation:

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Please help with question 2, I’m too tired to think right now, and it’s for my little sister and it’s due tomorrow! Ignore the n
marishachu [46]

Answer:

2000 L

Step-by-step explanation:

There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?

The simple solution is:

1250 L ÷ 0.625 = 2000 L

The algebraic solution is:

Let <em>c</em> equal the capacity of the tank.

Therefore, <em>c</em> × 0.625 = 1250.

Divide both sides by 0.625:

<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625

And simplify:

<em>c</em> = 1250 ÷ 0.625

<em>c</em> = 2000

5 0
3 years ago
The Rectangles are similar. Find the value of the variable (Picture Included)
Nady [450]
6/14=x/20             cross multiply and get 14x=120           divide and get 8 2/30

8 0
3 years ago
Read 2 more answers
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to sh
sveta [45]

Answer:

10 -> 14

15-> 19

20-> 24

25-> 29

Step-by-step explanation:

Add 4 each time

5 0
2 years ago
Tan^-1[cos(pi)] find the exact value without calculator
nata0808 [166]

Answer:

- \frac{\pi }{4}

Step-by-step explanation:

Evaluate cosπ then inverse tan, that is

cosπ = - 1

tan^{-1}(- 1) = - \frac{\pi }{4}

4 0
3 years ago
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