1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5
sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5
cos Ф=1/secФ
cos Ф=1 / 13/5=5/13
we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13
answer: d.12/13
other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13
answer: d.12/13
Answer:
Yes, the value 1411.8 cm³ is significantly high.
Step-by-step explanation:
Consider the provided information.
The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.
The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:
The range rule of thumb identifying significant values are as.
Significantly low values are μ-2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2-2(125.3)=860.6
Significantly high values are μ+2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2+2(125.3)=1361.8
The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.
Hence, Yes, the value 1411.8 cm³ is significantly high.
Answer:
D prefer romance over poetry 2:1
Step-by-step explanation:
Poetry is 20%
Romance is 40%

Answer:
Step-by-step explanation:
you have to add all the fractions to find the perimeter
10 1/7+10 1/7= 20 2/7 (width)
20 2/7+35 3/7(length) =55 5/7
12 2/7+12 2/7=24 4/7
55 5/7+24 4/7= 79 9/7=80 2/7
80 2/7+ 15 3/14+ 24 1/14= 562/7+ 213/14+337/14= (1124+213+337)/14
=1674/14=119 8/14= 119 4/7