Answer:
C
Step-by-step explanation:
Answer:
Option D. DE/DF
Step-by-step explanation:
The following data were obtained from the question:
Opposite = DE
Hypothenus = DF
Adjacent = EF
Sin θ =.?
From trigonometrical operations,
Sin θ = Opposite/Hypothenus.
With the above information, we can find Sin θ as follow:
Sin θ = Opposite/Hypothenus.
Sin θ = DE/DF.
Answer:
First one.
-3 is added to the previous term.
Answer:
14110
Step-by-step explanation:
Let x = number of pages ;
μ = 12200 ; σ = 820
Zscore = (x - μ) / s
Zscore = (x - 12200) / 820
Zcritical at 99% confidence, for a 1 - tail test is 2.33
Hence, Z at 99% = 2.33
Put Zscore = 2.33
Zscore = (x - 12200) / 820
2.33 = (x - 12200) / 820
2.33 * 820 = x - 12200
1910.6 = x - 12200
1910.6 + 12200 = x
x = 14110.6
x = 14111
The number of pages the manufacturer should advertise is 14,110
Answer:
base = 12 cm , altitude = 16 cm
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = ba ( b is the base and a the altitude )
here a = b + 4 , then
b(b + 4) = 96 ( multiply both sides by 2 to clear the fraction )
b(b + 4) = 192
b² + 4b = 192 ( subtract 192 from both sides )
b² + 4b - 192 = 0 ← in standard quadratic form
(b + 16)(b - 12) = 0 ← in factored form
equate each factor to zero and solve for b
b + 16 = 0 ⇒ b = - 16
b - 12 = 0 ⇒ b = 12
however, b > 0 then b = 12
so base = 12 cm and altitude = b + 4 = 12 + 4 = 16 cm