ANSWER:
2.33 foot
STEP-BY-STEP EXPLANATION:
We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

Replacing and solving for x:

The distance would be 2.33 foot
Solve the inequality 1.6-(3-2y)<5.
1. Rewrite this inequality without brackets:
1.6-3+2y<5.
2. Separate terms with y and without y in different sides of inequality:
2y<5-1.6+3,
2y<6.4.
3. Divide this inequality by 2:
y<3.2
4. The greatest integer that satisfies this inequality is 3.
Answer: 3.
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:
The screen is black? there is nothing there
Step-by-step explanation:
this is nonsense man
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours