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2 years ago

I need some help on question 1 thanks

Mathematics

1 answer:

blsea [12.9K]2 years ago

5 0

Answer:

Step-by-step explanation:

1)The total of the 16 Interior angles is (16-2)*180 = 2520 degrees

Each angle = 2520/16 = 157.5 degrees

2) the exterior angle equals 360/16 = 22.5 degrees

Hope this helps!

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Which statements about angles are true? Check all that apply.

Vadim26 [7]

Answer:

A,C,D,E

Step-by-step explanation:

The first one is true because in fact, supplementary angles' measures add up to 180°.

The second one is false because there are 5 types, not 3. These are the types:

acute angle-an angle between 0 and 90 degrees.

right angle-an 90 degree angle.

obtuse angle-an angle between 90 and 180 degrees.

straight angle-a 180 degree angle.

reflex angle- a angle between 180 and 360 degrees.

Third is true too because linear pair means two angles that form a straight line, or 180°.

Fourth is true because straight Angle theorem states that all the straight angles are 180 degrees. If the legs are pointing exactly in the opposite directions, then it forms a straight angle.

Last one is true because by definition complementary angles always form a right angle, which is 90°.

Hope it helps!

8 0

2 years ago

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

2 years ago

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Luba_88 [7]

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1 year ago

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2 years ago

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kobusy [5.1K]

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Step-by-step explanation:

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2 years ago