The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of sinθ can be written as (15/17).
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
Given that the terminal side of an angle in standard position passes through P(15, -8). Therefore, the measure of the perpendicular will be 15 units, while the measure of the base will be 8 units. Now, the value of the hypotenuse of the triangle is,
Hypotenuse = √(15²+8²) = 17 units
Further, the value of sinθ can be written as (15/17).
Learn more about Sine:
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<u>Answer:</u>
The great common factor is:
<h2>
x(2z)²</h2>
<u>Steps:</u>
given:
4x²yz³ = 2²x²z²yz
4x²yz³ = <u>x(2z)²</u>xyz
---------------------------------
12xz² = 4×3xz²
12xz² = 2²3xz²
12xz² = <u>x(2z)²</u>3
The great common factor is: x(2z)²
Answer:
53 minutes.
Step-by-step explanation:
We have been given that Payton leaves to go on an 85 minute bike ride at 3:27 pm.
Let us find when Payton will finish biking by 85 minutes after 3:27 pm.
Since 85 minutes equals to 1 hour and 25 minutes. 1 hour after 3:27 pm will be 4:27 pm. Now let us add 25 minutes to 4:27 pm.
So Payton will finish biking at 4:(27+25) pm= 4:52 pm.
Payton's family eats dinner at 5:45 pm. Now let us find remaining time between dinner and 4:52 pm.
Therefore, Payton have 53 minutes between finishing her bike ride and eating dinner.
Answer:
EF is the longest side of △DEF,
DF = 6 cm and
DE = 6 StartRoot 3 EndRoot cm.
Step-by-step explanation:
The angle ∠ EDF = 90° of the right triangle Δ DEF and ∠ DEF = 30° and ∠ EFD = 60°.
The hypotenuse EF is 12 cm.
Now, Sin ∠ EFD = DE/EF
⇒
⇒ DE = 6√3 cm.
Again, Cos ∠EFD = DF/EF
⇒
⇒ DF = 6 cm.
Therefore, EF is the longest side of △DEF, DF = 6 cm and DE = 6 StartRoot 3 EndRoot cm. (Answer)
To calculate this you’ll have to subtract and then divide
1500= 500+50t
1.) subtract 500 from 1500 to break down the equation
1500-500 =500+50t -500
1000= 50t
2.) now you want to get t alone... so since t is multiplied by 50, you will do the opposite and divide 50 from 1000 in order to get rid of it- which will again break down the equation
1000 /50= 50t /50
20= t
The answer is 20 minutes
Hope this helps x