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bezimeni [28]
3 years ago
14

In trapazoid abcd ab is parallel to dc, bc is perpendicular to dc determine the measure of d to the nearest degree and find the

lemgth of ad in simplest radicial form

Geography
1 answer:
nirvana33 [79]3 years ago
7 0

Answer:

∠d = 56.3°

AD = 3.6 inches

Explanation:

The trapezoid can be decompose to a rectangle and a triangle. The triangle has a hypotenuse AD, height of 3 inches and base of 2 inches (7 - 5)

tan(d)=\frac{opposite}{adjacent} =\frac{height}{base} \\tan(d)=\frac{3}{2} \\tan(d)=1.5\\d=tan^{-1}(1.5)=56.3^0

Therefore, ∠d = 56.3°

Using Pythagorean theorem:

AD² = base² + height²

AD² = 3² + 2²

AD² = 9 + 4 = 13

AD = √13 = 3.6 inches

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4 0
3 years ago
In nuclear fission and fusion reactions mass is converted into energy. The average person in US uses around 100,000,000 J of ene
daser333 [38]

Answer:

a) The yearly energy consumption for a US population of 300 million is 3\times 10^{16} J/year

b) The energy that would be released if a 60 kg person were converted entirely into energy is 5.4\times 10^{18} Joules.

c) 180 years would this amount of energy support a population of 300 million.

Explanation:

a) Average energy consumed by single person of US = 100,000,000 J/year

Then 300 million US citizen will consume:

300 million = 300 × 1,000,000 = 3\times 10^8

The yearly energy consumption for a US population :

100,000,000 J/year\times 3\times 10^8=3\times 10^{16} J/year

The yearly energy consumption for a US population of 300 million is 3\times 10^{16} J/year

b) E = m\times c^2

E = Energy from converted mass of m

c = speed of light

Given mass of person = m = 60 kg

E=60 kg\times (3\times 10^8 m/s)^2 = 5.4\times 10^{18} J

c) Energy calculated in part (b) = E=5.4\times 10^{18} J

The yearly energy consumption for a US population  of 300 million in an year = 3\times 10^{16} J/year

Let the that would be supported by 5.4\times 10^{18} Joules of energy be x.

x\times 3\times 10^{16} J/year=5.4\times 10^{18} J

x=\frac{5.4\times 10^{18} J}{3\times 10^{16} J/year}=180 years

180 years would this amount of energy support a population of 300 million.

4 0
3 years ago
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