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Vilka [71]
3 years ago
7

He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma

ny hours did it rain?
Mathematics
1 answer:
Kobotan [32]3 years ago
5 0
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

\sf 6\dfrac{2}{3}\div\dfrac{2}{3}

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf\dfrac{20}{3}\div\dfrac{2}{3}

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

\sf\dfrac{20}{3}\times\dfrac{3}{2}

Multiply the numerators and denominators together:

\sf\dfrac{60}{6}

Simplify by dividing:

\boxed{\sf 10}

So it rained for 10 hours.
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A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find,
CaHeK987 [17]

If you sketch the man and the building on paper, you'll have a
right triangle.  The right angle is the point where the wall of
the building meets the ground.  The height of the building
is one leg of the triangle, the line on the ground from the
building to the man's feet is the other leg, and the line
from his feet to the top of the building is the hypotenuse.

We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.

Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.

The tangent of the angle is      (opposite) / (adjacent)

                                                = (350 ft)  /  (1,000 ft) = 0.350 .

To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .

           tan⁻¹(0.350)  =  19.29° .  (rounded)

3 0
3 years ago
Drinks at the fair cost 2.50$ use an equation to represent the relationship between the numbers of drinks bought ad the cost def
vodomira [7]
C=5/2*d where c-cost. d-drink
5 0
3 years ago
Read 2 more answers
Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
Each question is asking something different please round will mark brainliest
11111nata11111 [884]

Answer:

1) 78.54

2) 490.87

3) diameter: 15.9999 so 16.00? circumference: 50.27

Step-by-step explanation:

3 0
3 years ago
If you take 10 quizzes by the end of the semester and get 6 A's and 4 B's, the ratio of A's to B's is _____.
guapka [62]

Answer:

the ratio is 6:4 if we were reduce it, it will be 3:2

7 0
3 years ago
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