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3 years ago

In the 30-60-90 triangle below, side s has a length of length of and side r has a

Mathematics

2 answers:

nirvana33 [79]3 years ago

6 0

Answer:

when you see 30 60 90 trangle always remembee this important information

30 degree meet x

90 degree meet 2x

60 degree meet xsqrt3

for example if we Saw the 90 degree meet 4 and unknown degree meet 2 we have to know that unknown degree is 30 hopefully you can understand what iam saying because my engilish begin come bad when i explain any thing

NemiM [27]3 years ago

3 0

I'M NOT SURE

Step-by-step explanatioI'M NOTN SURE

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Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for th

NeX [460]

As long as Loren drove, the law of motion was

$200 = st_1 \implies t_1 = \dfrac{200}{s}$

As long as Loid drove, the law of motion was

$100 = (s-10)t_2 \implies t_2 = \dfrac{100}{s-10}$

So, the total time they took is

$t_1+t_2=\dfrac{200}{s}+\dfrac{100}{s-10}$

Had Loren driven the whole time, the law of motion would have been

$300=st_3 \implies t_3 = \dfrac{300}{s}$

And we know that this time would have been 30 minutes (i.e. 0.5 hours) faster. So, we have

$t_3 = t_1+t_2-0.5$

This translates into

$\dfrac{300}{s}=\dfrac{200}{s}+\dfrac{100}{s-10}-\dfrac{1}{2}$

If we subtract 200/s from both sides, we have

$\dfrac{100}{s}=\dfrac{100}{s-10}-\dfrac{1}{2}$

We can simplify the right hand side by summing the two fractions:

$\dfrac{100}{s-10}-\dfrac{1}{2} = \dfrac{200-(s-10)}{2(s-10)}=\dfrac{210-s}{2(s-10)}$

So, we have to solve

$\dfrac{100}{s}=\dfrac{210-s}{2(s-10)}$

If we cross multiply the denominators, we have

$200(s-10)=s(210-s) \iff 200s-2000=210s-s^2 \iff s^2-10s-2000=0$

Which yields the solutions

$s=-40,\quad s=50$

We accept the positive solution, because the negative would mean to travel backwards, so Loren's rate was 50mph

5 0

3 years ago

Read 2 more answers

The length of the base of a triangle is 8.5 cm, and its height is 5.4 cm. if the area of the triangle is half of the product of

lawyer [7]

Area = 1/2bh = 1/2 x 8.5 x 5.4 = 22.95 squared centimeter

7 0

3 years ago

A TV costs $125.67 with a discount of 15% and 8.5% tax. What is the total that you will have to pay?

Usimov [2.4K]

Answer:

The total you have to pay for the TV is $115.9

Step-by-step explanation:

When we have a discount we have to make a substraction, when we have tax we have to sum so:

$125.67 * 15 % = 18.85

125.67 - 18.85 = 106.82

Now we have to add the tax

106.82 * 8.5% = 9.08

106.82 + 9.08 = 115.9

7 0

3 years ago

23 hours after 8:00 pm

Sophie [7]

A day has 24 hours, so if you add 23 hours, you are going 1 hour less than a full day. When you are ignoring what day it is, it appears to just be moving back one hour. Therefore, the answer is 7:00 pm. Comment if you have any questions!

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3 years ago

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There are more inches on a football field (100 yards) than there are centimeters on a 28 meter basketball court.

ivanzaharov [21]

Answer:

True

Step-by-step explanation:

On a football field there are 4,320 inches

On a basketball court there are 2,865 centemeters

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3 years ago