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VARVARA [1.3K]
2 years ago
12

Factor the following :

Mathematics
1 answer:
Otrada [13]2 years ago
8 0

Answer:

(x - 3)(x² + 4)

Step-by-step explanation:

x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )

= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term

= (x - 3)(x² + 4)

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Can you help me with this question please
Aleksandr-060686 [28]

Answer:

The actual length of the lap = 250 meters

Step-by-step explanation:

∵ The scale factor of the map is 1:1000

∵ The length of the lap on the map is 25 cm

∴ \frac{1}{1000}=\frac{25}{x}

Where x is the actual length of a lap

∴ x = (25 × 1000) ÷ 1 = 25000 cm

∵ 1 meter = 100 centimeter

∴ The actual length of the lap = 25000 ÷ 100 = 250 meters

7 0
3 years ago
Read 2 more answers
3) Find the percent of each number<br> 38% of 50=<br> 27% 300=<br> 60% 75=​
Scrat [10]

Answer:19, 81, 45

Step-by-step explanation:

7 0
3 years ago
A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.
Rus_ich [418]
The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height

24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5

Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
5 0
3 years ago
Read 2 more answers
(For both) I will give brainliest
amm1812
The first is yes and the second is no
3 0
3 years ago
Read 2 more answers
12/60 in lowest terms
Luda [366]
Fractions can be simplified by making sure that the numerator and the denominator cannot be divided by any number.

The given 12/60 is very obvious that it is divisible by 2.
After dividing by 2, you will get 6/30.
It seems it is not in simplest form. It is divisible by 3.
Dividing the numerator and denominator by 3 then you will get 
2/15.

So the lowest term is 2/15.
8 0
3 years ago
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