Answer:
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven
Step-by-step explanation:
Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.
Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.
a²+b²=c²
a²=c²-b²
a²=4²-3²
a²=16-9
a²=7
a=√7
Then Cos ∅= opposite/ adjacent
=√7/4
Then Tan ∅ = opposite/adjacent
=3/√7
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.
Answer:
area of trapazoid= 1/2 × b× h
so = 1/2×9×15
=1/2×135
=67.5cm
Answer:
first one is 0.02 the second is 8
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Given:
GH = 23
HR = 12
Required:
Length big QR
SOLUTION:
Since H is a point in between points Q and R, points Q, H, R are collinear.
QH = 23
HR = 12
QH + HR = QR (segment addition postulate)
23 + 12 = QR (substitution)
35 = QR
Therefore, the length of QR is 35
The answer is (x + 6)(5x - 1).
5x² + 29x - 6 = 5x² + 30x - x - 6 =
= (5x · x + 5x · 6) - (x + 6) =
= 5x(x + 6) - 1(x + 6) =
= (x + 6)(5x - 1)
