Ok, so you have a right angle, a given angle, and a given side for the left triangle. We are going to call angle 47° angle A. So angle A=47°, the side connecting the two triangles is directly opposite A making it side "a". We are calling the right angle C and the hypotenuse (the longest side which is 11) "c". So, Sin A=a/c and since we don't have "a" we multiply both sides by "c" changing it to (c Sin A)=a. 11•Sin(47°)=a
11•(0.7313537016)=a
8.044890718=a
Answer:
(-3,3)
Step-by-step explanation:
Answer:
c₁ = 1/2
c₂ = - e²/2
y = (1/2)*(eˣ - e²⁻ˣ)
Step-by-step explanation:
Given
y = c₁eˣ + c₂e⁻ˣ
y(1) = 0
y'(1) = e
We get y' :
y' = (c₁eˣ + c₂e⁻ˣ)' ⇒ y' = c₁eˣ - c₂e⁻ˣ
then we find y(1) :
y(1) = c₁e¹ + c₂e⁻¹ = 0
⇒ c₁ = - c₂/e² <em>(I)</em>
then we obtain y'(1):
y'(1) = c₁e¹ - c₂e⁻¹ = e <em>(II)</em>
⇒ (- c₂/e²)*e - c₂e⁻¹ = e
⇒ - c₂e⁻¹ - c₂e⁻¹ = - 2c₂e⁻¹ = e
⇒ c₂ = - e²/2
and
c₁ = - c₂/e² = - (- e²/2) / e²
⇒ c₁ = 1/2
Finally, the equation will be
y = (1/2)*eˣ - (e²/2)*e⁻ˣ = (1/2)*(eˣ - e²⁻ˣ)
An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C.
To find the y intercept , we plug in 0 for t
y intercept is the value , where time is 0 minutes
so we plug in 0 for t and find out y(0)
y(t)=−14t+500
y(0)=−14(0)+500 = 500
When t=0 , the value of y = 500
So , y intercept is (0,500)
Answer:
$7.50
Step-by-step explanation:
Multiply $30 by 0.25