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:
x = 12
Step-by-step explanation:
Vertical angles are congruent, so ...
4x = 48°
x = 12° . . . . . . divide by 4
Answer:
The p-value is 0.0229
Step-by-step explanation:
With 
we have an upper-tail alternative. Because the p-value is defined as the probability of getting a value at least as extreme as the value observed. The observed value is given by the test statistic z = 1.997 which comes from a standard normal distribution. Therefore, we compute the p-value in the following way P(Z > 1.997) = 0.0229, i.e., the p-value is 0.0229
So in long numbers or any number the positon determines its in the ones, tenths, hundredths
e.g
658
6 is in the hundredths as it is technically 600
5 is in the tenths as it is 50
8 is the ones as its just 8
Hello from MrBillDoesMath!
Answer: 1 17/24
Steps:
Evaluate (5x-6y+20x)/ 4yz when x = 5, y = 3, z = 14
(5(5) - 6(3) + 20(14)) / 4 (3)(14) (Substitute in values)
= (25 - 18 +280) / 4 (3) (14) (Evaluate products)
= (287) / 4 (3) (14) (Evaluate expressions)
= 287/ 168 (4 (3)(14) = 168)
= (168 + 119 ) /168 287 = 168 + 119
= (168)/168 + 119/168
= 1 + 119/168
= 1 119/168
BUT 119 = 17 * 7 (surprise!) and 168 = 12 * 7 * 2 so answer
= 1 (17*7)/(12*7*2)
= 1 (17)/(12*2) (Cancel 7's)
= 1 (17/24)
Regards, MrB
