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3 years ago

a mountain climber needs to descend 1,500 feet. he wants to do it in 4 equal descents . has fat should he travel in each descent

Mathematics

2 answers:

Rashid [163]3 years ago

3 0

He should decend 375 feet per each descends

mr Goodwill [35]3 years ago

3 0

Answer:

he should defend 375 feet at a time

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Is anyone able to figure this out, I can't do this

katrin [286]

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem $a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

$\implies r^2 + r^2 = c^2$

$\implies 2r^2 = c^2$

$\implies c=\sqrt{2r^2}$

So the diagonal of the square = $\sqrt{2r^2}$

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

$\implies \sqrt{2r^2}+r=1$

$\implies \sqrt{2r^2}=1-r$

$\implies 2r^2=(1-r)^2$

$\implies 2r^2=1-2r+r^2$

$\implies r^2+2r-1=0$

Using the quadratic formula to calculate r:

$\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}$

$\implies r=\dfrac{-2\pm\sqrt{8}}{2}$

$\implies r=-1\pm\sqrt{2}$

As distance is positive, $r=-1+\sqrt{2}=\sqrt{2}-1$ only

5 0

2 years ago

Read 2 more answers

Complete the table. Explain why the relationship is a proportional relationship. A cashier earns $8 per hour. Time (h) 2 4 Pay (

Alekssandra [29.7K]

Answer:

8 16 24 32 40 48 56 64 72

1 2 3 4 5 6 7 8 9

Step-by-step explanation:

The proportion is 8:1

When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.

6 0

3 years ago

Find the distance between the following points C(11, -12), D(6, 2)

Lady bird [3.3K]

Answer:

14.9

Step-by-step explanation:

Formula= $\sqrt{(x2-x1)^{2} +(y2-y1)^{2}$

x1=11; y1=-12; x2=6; y2=2

Putting these values in the formula, the result will be 14.866≡14.9

3 0

3 years ago

The radius of a circle 6 cm what is the circles area?

dolphi86 [110]

Answer:

113.04 cm

Step-by-step explanation:

We know the formula to find the area of a circle is

$A= pi(r^{2})$

And we are told to use 3.14 instead of pi so what we have now is,

$A=3.14(r^{2})$

We are also told the radius, r, is 6. So our equation now looks like this,

$A=3.14(6^{2})\\\\6^{2}$ is the same as 36, because 6x6 is 36.

Now we have,

$A=3.14(36)$

Which equals 113.04 and that is the area!

Hope that helps and have a great day!

7 0

3 years ago

What is the reciprocal? -2 8/9

scoray [572]

Answer:

Step-by-step explanation:

-8/9 is the reciprocal i believe

3 0

3 years ago