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Tcecarenko [31]
2 years ago
13

If you help me I give you branliest

Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0

Answer:

option 4

Step-by-step explanation:

m \angle MNO = \frac{1}{2} \times m MN\\\\

              = \frac{1}{2} \times 150 \\\\= 75^ \circ

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Circumference of a 4" circle?
lesya692 [45]

Answer:

4π ≈ 12.5663706144

Step-by-step explanation:

The circumference of a circle is 2πr, or 2*pi*radius

Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:

4÷2=<u>2 inches</u> (radius length)

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7 0
2 years ago
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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
2 years ago
What fraction is 4mm of 10cm
Sever21 [200]
Answer is going to be: 4/100
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