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3 years ago

Here's another Math one worth 10.

Mathematics

1 answer:

tia_tia [17]3 years ago

7 0

<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x

The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)

$
cos(60^o) = \frac{adjacent \ side}{hypotenuse } = \frac{x}{2x} = \frac{1}{2}$

Answer is C. 1:2

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ASAP PLZ!!!

lyudmila [28]

The solution has to be a value of x. Since you already have x, you just have to plug in the value and see what fits. In this case thats the third from the top:

5^2 - 10*5 + 25 = 0

25 - 50 + 25 = 0

0 = 0

Hope it helps!

7 0

4 years ago

You buy Apple stock for $120 per share over a period of time the stock value increased at a weekly rate of 5% you sell the stock

Rainbow [258]

Answer:

8.31 weeks

Step-by-step explanation:

Given that the cost of one share of Apple stock, C=$120

Rate is the increment of the stock value, R= 5%/week=0.05 / week.

Assuming that after t week, the stock has been sold for $180.

Since the stock value increased at 5% every week, so, the interest is compounded weekly, so

$S=C\left(1+R\right)^t \\\\ \Rightarrow 180 = 120\left(1+0.05\right)^t \\\\ \Rightarrow 180 = 120\left(1.05 )^t \\\\$

$\Rightarrow \frac{180}{120}=1.05^t \\\\\Rightarrow 1.5=1.05^t$

$\Rightarrow \ln(1.5)=t \ln(1.05)$ [taking log both sides]

$\Rightarrow t=\frac {\ln(1.5)}{\ln(1.05)}=8.31$ weeks

Hence, after 8.31 weeks the stock has been sold for $180.

6 0

3 years ago

What happens when warm air collides with cold air and is forced to rise over cold dome.

igor_vitrenko [27]

Answer:

Something to raise the moist air to form the clouds and cause precipitation. An example of lift is warm air colliding with cold air and being forced to rise over the cold dome. The boundary between the warm and cold air masses is called a front.

Step-by-step explanation:

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3 years ago

How deep the water 50 ft from the shore ?

PIT_PIT [208]

400 ft. Hope it helps. Pls Give brainliest answer!

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3 years ago

Convert repeating decimal 9.81 to a fraction

vampirchik [111]

Answer:

981/100

Step-by-step explanation

step: 9.81= 9.81/1

step 2 multiply both too and bottom by 10

9.81/1 = (9.81*100)/(1*100)= 981/100

thus 981/100 is also equal to 9 81/100

6 0

4 years ago