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Nataliya [291]
3 years ago
7

2. -6 < -3; Divide both sides by -3

Mathematics
1 answer:
elena-s [515]3 years ago
8 0
The answers for one, two, and three are:
False
True
True
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In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad
leva [86]
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
7 0
3 years ago
Read 2 more answers
News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in t
Law Incorporation [45]

The given process is an example of a cluster system.

<h3>What is the cluster system?</h3>

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7 0
2 years ago
Find the distance between the two given points. (-6, -5) and (2, 0)
Ipatiy [6.2K]

Answer:

The answer is

<h2>\sqrt{41}  \:  \:  or \:  \:  \: 6.403 \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance is

d =  \sqrt{ ({ - 6 - 2})^{2} +  ({ - 5 - 0})^{2}  }  \\  =  \sqrt{ ({ - 4})^{2}  +  ({ - 5})^{2} }  \\  =  \sqrt{16 + 25}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{41}  \:  \:  or \:  \:  \: 6.403 \:  \:  \: units

Hope this helps you

4 0
3 years ago
You are saving for a skateboard that costs $125. Your aunt gives you $45 to start and you save $3 each week. The expression 45 +
AnnZ [28]

Answer:

4 weeks= $57

45+3(4)

45+12=57

10 weeks= $75

45+3(10)

45+30=75

15 weeks= $90

45+3(15)

45+45=90

20 weeks=$105

No there is not enough money because you are $20 short after 20 weeks. You need to wait 7 more weeks




5 0
3 years ago
Evaluate the indefinite integral. <br> integar x4/1 + x^10 dx
ivann1987 [24]

Answer:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c

Step-by-step explanation:

Given

\int\ {\frac{x^4}{1 + x^{10}}} \, dx

Required

Integrate

We have:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx

Let

u = x^5

Differentiate

\frac{du}{dx} = 5x^4

Make dx the subject

dx = \frac{du}{5x^4}

So, we have:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx

\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}

\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du

Express x^(10) as x^(5*2)

\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du

Rewrite as:

\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du

Recall that: u = x^5

\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du

Integrate

\frac{1}{5} * \arctan(u) + c

Substitute: u = x^5

\frac{1}{5} * \arctan(x^5) + c

Hence:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c

7 0
3 years ago
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