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3 years ago

How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?

Mathematics

2 answers:

Slav-nsk [51]3 years ago

7 0

Answer:

b, 9.5

Step-by-step explanation:

tamaranim1 [39]3 years ago

5 0

We are given the data of the minute hand traveling from 1:15 to 1:30 and a displacement of the hand by 15 cm. In this case. the arc length is the 15 cm while the angle of the sector can be derived from the clock times. The angle between <span>1:15 to 1:30 is approximately 90 degrees or pi/2. hence the radius can be computed from:

s = r theta
15 = r * pi/2
r = 9.55 cm</span>

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Use the binomial expression (p+q)^n to calculate a binomial distribution with n=5 and p=0.3.(Show all steps)

Helen [10]

Answer:

The binomial in expanded form is $(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}$ .

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form $(a + b)^{n}$ can be expanded by using the following identity:

$(a + b)^{n} = \Sigma \limits^{n}_{k = 0}\,\frac{n!}{k!\cdot (n-k)!}\cdot a^{n-k}\cdot b^{k}$ (1)

If we know that $a = p = 0.3$ and $n = 5$ , then the expanded form of the binomial is:

$(p+q)^{n} = \frac{243}{100000} + 5\cdot \left(\frac{81}{10000} \right)\cdot q + 10\cdot \left(\frac{27}{1000})\cdot q^{2} + 10\cdot \left(\frac{9}{100} \right)\cdot q^{3} + 5\cdot \left(\frac{3}{10} \right)\cdot q^{4} + q^{5}$

$(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}$

8 0

3 years ago

HELP! WILL GIVE BRAINLEST

trasher [3.6K]

Answer:

Option C: 41

Step-by-step explanation:

<ABD+<CBD=90

<ABD=8x+1

<CBD=6x+5

(8x+1)+(6x+5)=90

Combine like terms

(8x+6x)+(1+5)=90

14x+6=90

14x=90-6

14x=84

divide both sides by 14

x=6

Now we plug that value into <DBC = 6x+5

6(6)+5=

36+5

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2 years ago

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In the figure, AB ║ CD and m∠3 = 120°.

zlopas [31]

Yes, 60° is right.

Do you need me to explain why?

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4 years ago

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aalyn [17]

The value of x is -1/2 or -.5

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3 years ago

The width, w , of a rectangle is 13 its length, l .The width, w of the rectangle is 5 inches. What is the perimeter of the recta

sukhopar [10]

Area= 13x5=65
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3 years ago

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