Answer:
a) independent variable x, dependent variable y
b) independent variable s, dependent variable g
c) independent variable q, dependent variable p
d) independent variable n, dependent variable m
Answer:
C. 74 sqft
Step-by-step explanation:
The bottom has a surface area of 4ft * 5ft = 20sqft
Theres two 3ft x 5ft sides and two 3ft x 4ft ones.
2 * 3ft * 5ft + 2 * 3ft * 4ft = 2 * 15sqft + 2 * 12sqft = 30sqft + 24sqft = 54sqft
Total surface of the outside is thus
20sqft + 54sqft = 74sqft
The image of the transformation of the ordered pair is (-2,-6)
<h3>How to determine the image?</h3>
The ordered pair is given as:
(1, -3)
The transformation is given as:
D₂ o Ry-axis
This means a dilation by a scale factor of 2 and then a reflection across the y-axis.
The image of the dilation is:
(x,y) = 2 * (1,-3)
(x,y) = (2,-6)
The rule of reflection across the y-axis is
(x,y) = (-x,y)
So, we have:
(x,y) = (-2,-6)
Hence, the image of the transformation is (-2,-6)
Read more about transformation at:
brainly.com/question/4289712
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Answer:
13.2
Step-by-step explanation:
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
