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Lera25 [3.4K]
2 years ago
7

Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.

Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

A

Step-by-step explanation:

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Which decimal is equivalent to -3 1/8
denis23 [38]

Answer:

the correct answer is -3.125

Step-by-step explanation:

4 0
2 years ago
State any two types of natural vegetation?
expeople1 [14]

Answer:

forest, tundra, and grasslands

6 0
3 years ago
help me PIZThis is a picture of a cube and the net for the cube.What is the surface area of the cube? k12
Sunny_sXe [5.5K]

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486 in²

Step-by-step explanation:

9x9x6=486 in²

5 0
3 years ago
A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
3 years ago
Evaluate the piecewise function below for f(3):
gregori [183]
F(3)={2(3)-9}
F(3)={6-9}
F(3)={-3}
8 0
3 years ago
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