Answer: The constant of variation value of 7.
Step-by-step explanation: We are given cost of 0.8 meter of a silk ribbon = $5.60.
Let us assume y be the total cost for x meter of a silk ribbon and k is the constant of variation.
So, we can set up an equation for proportion relationship:
y = k x.
<em>Let us plug x=0.8 and y= 5.60,</em> in above proportion relationship equation, we get
5.60 = k (0.8).
Dividing both sides by 0.8, we get
5.60/0.8 = k(0.8)/0.8
k =7.
Therefore, the constant of variation value of 7.
Answer:
x = 3
Step-by-step explanation:
4 ( x - 7 ) = -6x + 12
→ Expand brackets
4x - 28 = -6x + 12
→ Add 6x to both sides
10x - 28 = 12
→ Add 28 to both sides
10x = 30
→ Divide both sides by 10
x = 3
9514 1404 393
Answer:
990 square inches
Step-by-step explanation:
The area is the half the product of length and height.
A = (1/2)(18 in)(110 in) = 990 in²
The area of the triangle is 990 square inches.
Answer:
option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (0,-225)
The axis of symmetry is x=0 (y-axis)
Find the x-intercepts (values of x when the value of y is equal to zero)
For y=0
square root both sides
therefore
The graph has zeroes at x = 15 an x = -15 and it opens upward.
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
