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2 years ago

What is the difference in the sum of the exterior angles measures of a rectangular nonagon and a rectangular dodecagon?

Mathematics

1 answer:

Alenkinab [10]2 years ago

8 0

The sum of the exterior angles of ANY polygon = 360 degrees.So, the difference = 360 - 360 = 0.

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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.

laila [671]

Answer:

Question 1: 0.081 min⁻¹

Question 2: 168ºF

Explanation:

The missing equation is:

$T=T_a+(T_0-T_a)e^{-kt}$

You are given:

Ta = the temperature surrounding the object = 73ºF
T₀ = the initial temperature of the object = 204ºF
t = 2.5 min
T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

$180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}$

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

$T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF$

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3 years ago

What theorem can you use to prove that angle GKJ is congruent angle HIK?

dmitriy555 [2]

Angle Side Angle Theorem (ASA)

The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

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3 years ago

TRUE or FALSE; Quadratic Equations' graphs take the form of V's.

Whitepunk [10]

Answer:

False, they take form of a U shape

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2 years ago

The box and whisker plot represents the scores made by two different classes on the same test. By comparing the length of the bo

Trava [24]

You can try to find a way to get the range from the highest score to the lowest score.

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3 years ago

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Which polygon has an interior angle sum of 900°?

kati45 [8]

Answer:

A polygon that has 7 sides.

Step-by-step explanation:

S=(n-2)*180

n representing the sides

plug in each one into the formula and see which one = 900 degress.

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3 years ago

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