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shepuryov [24]
3 years ago
5

A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37-m.

Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

\sqrt{280} = 2\sqrt{70}

37^2 = 1369

33^2 =1089

1369-1089 = 280

Step-by-step explanation:

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Doug dives from a platform that is 10 meters above water. His dive takes him 3.8 meters below the
Lynna [10]

Answer:

13.8

Step-by-step explanation:

His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.

Dive = platform + under the surface

Dive = 10 + 3.8

Dive = 13.8

4 0
3 years ago
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Which line has a constant of proportionality between y and x of 1/2
Pepsi [2]

Answer:

Line c

Step-by-step explanation:

y=\frac{x}{2}

5 0
3 years ago
There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li
scoray [572]

Answer:

\text{The probability that Gary dies first = }\frac{1}{3}

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}

Hence the probability that Gary dies first is  given by :

=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}

3 0
4 years ago
Help with #2, thank you :)
marishachu [46]

Answer:

2^6

Step-by-step explanation:

2^2 + 2^4 = 2^6

4 0
3 years ago
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How to get x when x^3-x^2+x-1=0?
Art [367]

Answer:

x = 1 or x = ± i

Step-by-step explanation:

Note the sum of the coefficients

1 - 1 + 1 - 1 = 0

This indicates that x = 1 is a root, thus (x - 1) is a factor

Using long division or synthetic division, then

x³ - x² + x - 1 = (x - 1)(x² + 1), thus

(x - 1)(x² + 1) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± \sqrt{-1} = ± i

6 0
3 years ago
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