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Pachacha [2.7K]
4 years ago
13

Help, please!

Mathematics
2 answers:
Firdavs [7]4 years ago
4 0

Answer:

sin m∠B = square root of 5 over 5

Step-by-step explanation:

You are right B is the answer

givi [52]4 years ago
3 0

Answer:

\huge\boxed{\sf Option \ B}

Step-by-step explanation:

In the given triangle:

Opposite to B = 3

Adjacent to B = 6

Hypotenuse = \sf 3\sqrt{5}

We'll use the following trigonometric ratio:

\sf sin \theta = \frac{opposite }{hypotenuse} \\\\sin \ B = \frac{3}{3\sqrt{5} } \\\\sin \ B = \frac{1}{\sqrt{5} } \\\\Multiplying \ both \ numerator \ and \ denominator \ by \ \sqrt{5} \\\\sin \ B = \frac{\sqrt{5} }{\sqrt{5} * \sqrt{5} } \\\\\boxed{\sf sin \ B = \frac{\sqrt{5} }{5} }

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>

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What is the equation of the line that passes through the point (4,−2) and has a slope of -2
Zepler [3.9K]

Answer:

y = -2x + 6

Step-by-step explanation:

Point slope form is y - y1 = m(x-x1)

y - (-2) = -2(x-4)

y + 2 = -2x + 8

y = -2x + 6

4 0
3 years ago
Try again A light bulb consumes 5040 watt-hours in 3 days and 12 hours. How many watt-hours does it consume per day
White raven [17]

Answer:

1680 watt-hours

Step-by-step explanation:

consume per day

#carry on learning

5 0
3 years ago
Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a
NemiM [27]

\frac{1}{6} or 0.167 pounds more butter was used than sugar

<em><u>Solution:</u></em>

Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a  pound of sugar

<em><u>To find: Amount of butter used than sugar</u></em>

From given information,

\text{Butter used} = \frac{2}{3} \text{ pound }

\text{Sugar used } = \frac{1}{2} \text{ pound }

To find how much butter is used than sugar, find the difference between them

Difference = Butter\ used - Sugar\ used

Difference = \frac{2}{3} - \frac{1}{2}\\\\Difference = \frac{2 \times 2-1 \times 3}{3 \times 2}\\\\Difference =\frac{4-3}{6}\\\\Difference =\frac{1}{6} = 0.167\\\\

Thus \frac{1}{6} or 0.167 pounds more butter was used than sugar

5 0
4 years ago
In a package of mixed candies, there are two fruit centres for every three caramel centres. There are 30 candies in the packet.
ivolga24 [154]

Answer:

the answer is ten Carmel centeres.

4 0
3 years ago
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the
tamaranim1 [39]

Using compound interest, it is found that:

a) A(8) = 2389.66

b) t = 31.15

c) P = 1870.85

Compound interest:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

  • A(t) is the amount of money after t years.  
  • P is the principal(the initial sum of money).  
  • r is the interest rate(as a decimal value).  
  • n is the number of times that interest is compounded per year.  
  • t is the time in years for which the money is invested or borrowed.

In this problem:

  • The APR is of 2.25%, hence r = 0.0225.
  • No information about the number of compounding per year, hence n = 1.

Item a:

P = 2000, hence:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}

A(8) = 2389.66

Item b:

A(t) = 4000, hence:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}

(1.0225)^t = 2

\log{(1.0225)^t} = \log{2}

t\log{1.0225} = \log{2}

t = \frac{\log{2}}{\log{1.0225}}

t = 31.15

Item c:

A(3) = 2000, hence:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}

P = \frac{2000}{(1.0225)^3}

P = 1870.85

A similar problem is given at brainly.com/question/24850750

7 0
2 years ago
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