Answer:
(i) the other two sides are 6 and 6
(ii) the other two sides are
Step-by-step explanation:
(i) Sine: sin(θ) = Opposite ÷ Hypotenuse
Cosine: cos(θ) = Adjacent ÷ Hypotenuse
Tangent: tan(θ) = Opposite ÷ Adjacent
Here adjacent side = 6
opposite side = d
angle = 45°
other angles are 90° and 45°
tan (45) = Opposite ÷ Adjacent
1 = d ÷ 6
∴ d = 6 × 1 = 6
so opposite side = 6
Hypotenuse ² = opposite side ² + adjacent side²
= 6² + 6²
= 36 + 36
= 72
hypotenuse =
= 6
the other two sides are 6 and 6
(ii) here adjacent side = 4√3
angle = 30°
other angles are 90° and 60°
opposite side = d
tan ( 30) = opposite ÷ adjacent
= d ÷ 4√3
= d × ()
3 d = 4
therefore d =
therefore opposite side =
Hypotenuse ² = opposite side ² + adjacent side²
=( )² +( )²
=
therefore hypotenuse =
=
the other two sides are
Answer:
cos(X+Y) = cos(55+35) = cos(90) = 0
Step-by-step explanation:
cos(X+Y) = cosXcosY - sinXsinY
cos(55+35) = cos(55)cos(35) - sin(55)sin(35)
cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)
cos(55+35) = cos(55)cos(35) - cos(35)cos(55)
cos(55+35) = 0
cos(90) = 0
Answer:
Kendra ate 1/4 pounds of blueberries.
Step-by-step explanation:
The amount of blueberries Sean had = 1/3 pound
The amount of blueberries Kendra ate = 3/4 of Total available
= 3/4 of (1/3 pounds)
Now, we need to find out the 3/4 amount of 1/3 pound.
3/4 of 1/3 pound =
⇒ 3/4 of the amount 1/3 pound = 1/4 pound
Hence Kendra ate 1/4 pounds of blueberries.
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
Answer:
y = 6/5x
Step-by-step explanation:
1.
2. subtract the two number on the top of the fraction bar to get 6
3. do the same for the denominator to get 5
4. your final answer is