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3 years ago

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5. Is 9 a factor of the following? (i) 394683 (ii) 1872546 (iii) 5172354

2 answers:

Dennis_Churaev [7]3 years ago

5 0

Answer:

(i) no, remainder is 6

(ii) no, remainder is 6

(iii) yes

Step-by-step explanation:

A number is divisible by 9 when the sum of its digits is divisible by 9. (The process of computing the sum of digits is called "casting out 9s".) You can basically treat any 9 as though it were 0.

(i) 3+9+4+6+8+3 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

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(ii) 1 + 8 + 7 + 2 + 5 + 4 + 6 = 9 + 9 + 9 + 6 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

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(iii) 5 + 1 + 7 + 2 + 3 + 5 + 4 = 6 + 9 + 3 + 9 = 27 = 3×9. This is divisible by 9, so the number is divisible by 9. 9 is a factor.

inysia [295]3 years ago

3 0

Answer:

The answer is (iii) 5172354

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Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)

lara31 [8.8K]

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

5 0

3 years ago

Hellpppp<br><br> what's the missing number? 7/16 = ?/64<br><br> a) 4<br> b) 21<br> c) 28<br> d) 55

Gnom [1K]

Answer: 28

EXPLANATION:
16 ÷ 64 = 4
7 x 4 = 28

3 0

3 years ago

Read 2 more answers

Surface Area of Cylinder=2πrh+2πr2

Alex

Find the surface area when r is 8 inches and h is 8 inches.

$\qquad$ A. 160π in²

$\qquad$ B. 154π in²

$\qquad$ C. 288π in²

$\qquad$ D. 256π in² ☑

We are given –

$\qquad$ ⇢Radius of cylinder , r = 8 inches

$\qquad$ ⇢ Height of cylinder, h = 8 inches.

We are asked to find surface area of the given cylinder.

Formula to find the surface cylinder given by –

$\bf \star \pink{ Surface\: Area_{(Cylinder)} = 2\pi rh +2\pi r^2 }$

Now, Substitute given values –

$\sf \twoheadrightarrow Surface\: Area_{(Cylinder)} = 2\pi rh +2\pi r^2$

$\sf \twoheadrightarrow Surface\: Area_{(Cylinder)} = 2 \pi \times 8 \times 8 + 2\pi \times 8^2$

$\sf \twoheadrightarrow Surface\: Area_{(Cylinder)} = 2 \pi \times 8^2 + 2\pi \times 8^2$

$\sf \twoheadrightarrow Surface\: Area_{(Cylinder)} = 2\pi \times 64 +2\pi \times 64$

$\sf \twoheadrightarrow Surface\: Area_{(Cylinder)} =128 \pi + 128\pi$

$\purple{\bf \twoheadrightarrow Surface\: Area_{(Cylinder)} = 256\pi \: in^2 }$

Henceforth,Option D is the correct answer.

8 0

2 years ago

Mary brought $20 to the skating rink. She paid $5.50 admission and $3.75 to rent skates. She also purchased two bottles of water

Salsk061 [2.6K]

Answer:

20-14.5=5.5

Step-by-step explanation:

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2 years ago

Giving 40 points who help me

Elena L [17]

Answer:

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2 years ago