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2 years ago

What is 10⁰ + 10¹ + 10² equal to

Mathematics

2 answers:

Setler [38]2 years ago

6 0

10^0 = 1

10^1 = 10

10^2 = 100

100 + 10 + 1 = 111

Elden [556K]2 years ago

3 0

10^0 equals 1, 10^1 equals 10 and 10^2 equals 100. 100+10+1 equals 111.

hope this helps

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Whoever answer is the best gets brainlist

Otrada [13]

The answer is 18^8 because u add exponents

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2 years ago

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Problem How many numbers between 111 and 100100100 (inclusive) are divisible by 101010 or 777?

olga2289 [7]

I suspect you meant

"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"

• Count the multiples of 10:

⌊100/10⌋ = ⌊10⌋ = 10

• Count the multiples of 7:

⌊100/7⌋ ≈ ⌊14.2857⌋ = 14

• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and

⌊100/70⌋ ≈ ⌊1.42857⌋ = 1

(where ⌊x⌋ denotes the "floor" of x, meaning the largest integer that is smaller than x)

Then using the inclusion/exclusion principle, there are

10 + 14 - 1 = 23

numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.

6 0

2 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

2 years ago

(-3√ -81)(-5+√ -9)+9i

AnnyKZ [126]

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

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2 years ago

The vertex of the graph of a quadratic function is (3, 1) and the y-intercept is (0, 10). Which of the following is the

pishuonlain [190]

Answer:

C. y = x² - 6x + 10

Step-by-step explanation:

Formula f(x)=a(x-h)^2+k (h,k) is vertex

Y=a (x-3)^2+1

Plug in y intercept

10=a (0-3)2+1

10=-3^2a+1

10=9a+1

9=9a

A=1

Y=(x-3)2 +1

Y=x2-6x+9+1

Y=x2-6x+10

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2 years ago

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