Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
Answer:
Step-by-step explanation:
Given
Required
We have:
This gives:
Open bracket
Collect like terms
Answer:
1
Step-by-step explanation:
Plug in the x to the original equation given.
2(3)-5
2 times 3 is 6 so then,
6-5 =1
Answer:
vertical asymptote at x = 2
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
3x - 6 = 0 ⇒ x = 2 ← is the vertical asymptote
Answer:
230.5
Step-by-step explanation:
Formulas: a = 1/2(bh), a = bh
Rectangle 1: a = 6 x 8
a = 48
Base of the triangle: 9 + 6
15
Triangle 1: a = 1/2(15 x 24)
a = 180
Triangle 2: a = 1/2(4(13 - 8))
a = 2.5
48 + 180 + 2.5
230.5
<u>The area of the figure is 230.5.</u>
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