A rectangular shape of dimension 95 m by 75 m is drawn to a scale of 1 cm to 10 m . Find the area of the drawing

Elena-2011 [213]

Part A

Either Nathan picked 0, or Sonia picked 0, or both.

This is because multiplying nonzero numbers together gets a nonzero result. So one of them must have picked 0.

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Part B

It's the same idea as part A. It's not clear what the nonzero values are, but one (or more) person picked 0 as their secret number.

If they picked something like 1, 2 and 3, then the product is 1*2*3 = 6 which is nonzero and the product is larger than the three original values. This is because each value is 1 or larger. If someone picked a small decimal value like 0.1 then 0.1*2*3 = 0.6 is the product. It's closer to 0, but not 0 itself.

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Part C

Zero Product Property:

If m*n = 0, then either m = 0 or n = 0 or both.

This idea says that if the product of two numbers is 0, then at least one of the numbers must be 0 itself. It can be extended to three or more numbers.

This idea is useful when it comes to solving factored quadratic equations.

In the case of 2x^2 + 5x - 12, it factors to (2x-3)(x+4)

So using the zero product property, we can solve the quadratic equation like this

2x^2 + 5x - 12 = 0

(2x-3)(x+4) = 0

2x-3 = 0 or x+4 = 0

2x = 3 or x = -4

x = 3/2 = 1.5 or x = -4

The use of the zero product property happens in step 3

7 0

2 years ago

Pls help. I need to solve for those 3 values and I’ll give u the Brain thing is u get it right

Harman [31]

Answer:

x = 11

y = 8

z = 42

Step-by-step explanation:

From the given figure

∵ l $_{1}$ and l $_{2}$ intersected at a point

∴ ∠1 and ∠4 are vertically opposite angles

→ Vertically opposite angles are equal in measures

∴ m∠1 = m∠4

∵ m∠1 = 4(3y - 12)°

∵ m∠4 = (8y - 16)°

→ Equate their measures

∵ 4(3y - 12) = 8y - 16

∴ 4(3y) - 4(12) = 8y - 16

∴ 12y - 48 = 8y - 16

→ Subtract 8y from both sides

∵ 12y - 8y - 48 = 8y - 8y - 16

∴ 4y - 48 = -16

→ Add 48 to both sides

∴ 4y - 48 + 48 = -16 + 48

∴ 4y = 32

→ Divide both sides by 4

∴ y = 8

∵ ∠4 and ∠5 formed a pair of linear angles

→ The sum of the measures of the linear angles is 180°

∴ m∠4 + m∠5 = 180°

∵ m∠5 = (12x)°

∵ m∠4 = 8(8) - 16 = 64 - 16 = 48°

→ Add them and equate the sum by 180

∵ 48 + 12x = 180

→ Subtract 48 from both sides

∴ 48 - 48 + 12x = 180 - 48

∴ 12x = 132

→ Divide both sides by 12

∴ x = 11

∵ ∠4, ∠3, and ∠2 formed a line

∴ ∠4, ∠3, and ∠2 are linear angles

→ The sum of the measure of the linear angles is 180°

∴ m∠4 + m∠3 + m∠2 = 180°

∵ m∠4 = 48°

∵ m∠3 = 3(11) + 9 = 33 + 9 = 42°

∵ m∠2 = (2z + 6)

→ Add them and equate the sum by 180

∵ 48 + 42 + 2z + 6 = 180

→ Add the like terms in the left side

∴ 96 + 2z = 180

→ Subtract 96 from both sides

∵ 96 - 96 + 2z = 180 - 96

∴ 2z = 84

→ Divide both sides by 2

∴ z = 42

3 0

3 years ago

There are 18 cupcakes. How many different ways can the cupcakes be placed in packets, so each packet has the same number of cupc

Olegator [25]

2 packets of 9 or 9 packets of 2
3 packets of 6 or 6 packets of 3
There might be more tbh

3 0

3 years ago

The probability that Fiona wakes up before 8am when she does not set her alarm is 2/5 On two consecutive days that Fiona does no

denpristay [2]

Answer:

16/25 = 0.64 = 64%

Step-by-step explanation:

If we want the probability of Fiona waking up before 8am for at least one of the days, we can calculate the probability of she not waking up 8am in both days, and then we do 1 minus this probability.

The probability of she not waking up 8am in one day is (1 - 2/5) = 3/5

The probability of she not waking up 8am in both days is 3/5 * 3/5 = 9/25

So, the probability of Fiona waking up before 8am for at least one of the days is (1 - 9/25) = 16/25 = 0.64 = 64%

8 0

4 years ago

What is the volume of the cone?

Rudik [331]

Answer:

16pi cm^3

Step-by-step explanation:

$v =( \pi \times {r}^{2} \times h) \div 3$

v= (pi ·4^2 ·3): 3= 16pi

4 0

3 years ago