Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° =
and tan60° =
, then
sin60° =
=
=
( cross- multiply )
x
= 4
( divide both sides by
)
x = 4
and
tan60° =
=
=
( multiply both sides by y )
y
= 2
( divide both sides by
)
y = 2
Favorite cookie , chocolate 3, oatmeal 1, peanut butter 5, shortbread 5, .write about the information shown in this graph
Answer: Option d.
Step-by-step explanation:
Draw a right triangle using the data given in the exercise (Observe the picture attached)
Let be "h" the height in meters from the ground to the top of the slide.
You need to use the following Trigonometric Identity:
![sin\alpha =\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
In this case you can identify that:
![\alpha =28\°\\oppossite=h\\hypotenuse=3.5](https://tex.z-dn.net/?f=%5Calpha%20%3D28%5C%C2%B0%5C%5Coppossite%3Dh%5C%5Chypotenuse%3D3.5)
Therefore, susbstituting values into
and solving for "h", you get:
![sin(28\°) =\frac{h}{3.5}\\\\(3.5)(sin(28\°))=h\\\\h=1.64](https://tex.z-dn.net/?f=sin%2828%5C%C2%B0%29%20%3D%5Cfrac%7Bh%7D%7B3.5%7D%5C%5C%5C%5C%283.5%29%28sin%2828%5C%C2%B0%29%29%3Dh%5C%5C%5C%5Ch%3D1.64)
Answer:
(0, - 3) and (4, 5)
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = x² - 2x - 3 into (2)
x² - 2x - 3 = 2x - 3 ← subtract 2x - 3 from both sides
x² - 4x = 0 ← in standard form
x(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
Substitute these values into (2) for corresponding values of y
x = 0 → y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 4 → y = 2(4) - 3 = 8 - 3 = 5 ⇒ (4, 5 )
just subtract 29 and 18 and I will give you the answer then multiplying that by the 6000