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Drupady [299]
2 years ago
13

The expression 18a-12 factored is

Mathematics
1 answer:
AlekseyPX2 years ago
5 0

Answer:

6(3a-2)

Step-by-step explanation: Both terms have a 6. Factor that our

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Solve the equation <br> 2 ( a + 10) = 56
Hatshy [7]
Answer: a = 18

explanation:
2(a + 10) = 56 -> distribute the 2
2a + 20 = 56 -> subtract 20 from both sides
2a = 56 - 20
2a = 36 -> divide both sides by 2
a = 18
3 0
3 years ago
Ted pays $35 per hour for scuba class. Identify the constant of proportionality that relates his scuba class charges (y) to the
Naddik [55]
The answer would be D
3 0
3 years ago
Read 2 more answers
a metal cube measures 2-centimeters on each side the mass of the cube is 72 grams what is the density of the metal cube​
Umnica [9.8K]

Answer:

9 gram/cm³

Step-by-step explanation:

Volume of  a square (L³) = 2³ = 8cm³

Volume of  a square (L³) = 2³ = 8cm³

But Density = mass/volume

But Density = Mass/Volume

Density = 72grams/8cm³

Density = 9grams/cm³

8 0
3 years ago
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by
KatRina [158]

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

6 0
3 years ago
GCSE 995381
nikdorinn [45]

Answer:

2.9 cm^2

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = \frac{1}{2}\times base \times height

We know that,

\sin \theta = \dfrac{P}{H}

\sin 30^\circ= \dfrac{P}{8}

P = \dfrac{8}{2}

P = 4\ cm

And

\cos \theta =\dfrac{B}{H}

\cos 30^\circ = \dfrac{B}{8}

B = \dfrac{8\times \sqrt{3}}{2}

B = 4\sqrt 3

Area of sector = \dfrac{\theta}{360^\circ}\times \pi r^2

Area of sector =  \dfrac{30^\circ}{360^\circ}\times \pi \times 8^2

                        = 16.75 cm^2

Area of triangle = \dfrac{1}{2} \times 4\sqrt 3 \times 4

                          = 13.85 cm^2

Area of shaded region = 16.75 - 13.85

                                      = 2.9 cm^2

7 0
2 years ago
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