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olya-2409 [2.1K]
3 years ago
9

I have several other questions

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

81 m²

Step-by-step explanation:

A = 6*10 + 7*6/2

= 60 + 7*3

= 60 + 21

= 81 m²

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4 Tan A/1-Tan^4=Tan2A + Sin2A​
Eva8 [605]

tan(2<em>A</em>) + sin(2<em>A</em>) = sin(2<em>A</em>)/cos(2<em>A</em>) + sin(2<em>A</em>)

• rewrite tan = sin/cos

… = 1/cos(2<em>A</em>) (sin(2<em>A</em>) + sin(2<em>A</em>) cos(2<em>A</em>))

• expand the functions of 2<em>A</em> using the double angle identities

… = 2/(2 cos²(<em>A</em>) - 1) (sin(<em>A</em>) cos(<em>A</em>) + sin(<em>A</em>) cos(<em>A</em>) (cos²(<em>A</em>) - sin²(<em>A</em>)))

• factor out sin(<em>A</em>) cos(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (1 + cos²(<em>A</em>) - sin²(<em>A</em>))

• simplify the last factor using the Pythagorean identity, 1 - sin²(<em>A</em>) = cos²(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (2 cos²(<em>A</em>))

• rearrange terms in the product

… = 2 sin(<em>A</em>) cos(<em>A</em>) (2 cos²(<em>A</em>))/(2 cos²(<em>A</em>) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(<em>A</em>)

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - 1/cos²(<em>A</em>))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - sec²(<em>A</em>))

• divide through again by cos²(<em>A</em>)

… = (4 sin(<em>A</em>)/cos(<em>A</em>)) / (2/cos²(<em>A</em>) - sec²(<em>A</em>)/cos²(<em>A</em>))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(<em>A</em>) / (2 sec²(<em>A</em>) - sec⁴(<em>A</em>))

• factor out sec²(<em>A</em>) in the denominator

… = 4 tan(<em>A</em>) / (sec²(<em>A</em>) (2 - sec²(<em>A</em>)))

• rewrite using the Pythagorean identity, sec²(<em>A</em>) = 1 + tan²(<em>A</em>)

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (2 - (1 + tan²(<em>A</em>))))

• simplify

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (1 - tan²(<em>A</em>)))

• condense the denominator as the difference of squares

… = 4 tan(<em>A</em>) / (1 - tan⁴(<em>A</em>))

(Note that some of these steps are optional or can be done simultaneously)

7 0
2 years ago
Tulio will invest​ $1,000,000 at​ 5% annual interest. Determine how much money will Tulio have after 10 years if the interest is
balu736 [363]

Answer:

$1,500,000

Step-by-step explanation:

Given

Principal = $1,000,000

Rate = 5%

Time = 10years

Interest = PRT/100

Interest = 1000000*5*10/100

Interest = 100000*5

Interest = $500,000

Amount after 10years =  $1,000,000+ $500,000

Amount after 10years = $1,500,000

5 0
3 years ago
-1/5(-2 1/4)? (-1/5 x -2 1/4)=?? Brainilist
strojnjashka [21]

-  \frac{1}{5}  \times  - 2 \frac{1}{4}  \\  -  \frac{1}{5}  \times ( - 2) \times  \frac{1}{4}  \\  \frac{1}{5}  \times 2 \times  \frac{1}{4}  \\  \frac{1}{5}  \times  \frac{1}{2}  \\ \\ answer =  \frac{1}{10}  \\

<h2>Final Answer: 1/10</h2>

Alternate Forms:

  • Decimal: 0.1

Hope it helps

8 0
2 years ago
Read 2 more answers
How are the units of measurement called radiance related to the radius of a circle?
Pavlova-9 [17]

Answer:

By definition, considering a unit circle (circle centered at origin and of radius 1) the length of an arc is equal to the measurement in radians (the SI unit for measuring angles) of the angle that it subtends (to be opposite to). The length of the arc is equal to the radius of the circle.

8 0
3 years ago
PLEASE HELP! WILL GIVE BRAINLIEST
Amiraneli [1.4K]

Answer:

AC and FD

AE and BD

CE and BF

Step-by-step explanation:

considering the sizes they are, the center triangle's segments should be parallel to the opposite sides on the larger one

5 0
2 years ago
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