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Maru [420]
2 years ago
15

Surface area - multi step

Mathematics
1 answer:
forsale [732]2 years ago
4 0

Answer:

£208

Step-by-step explanation:

Given:

Height of solid box (h) = 20 cm

Width (w) = 80 cm

Length (l) = 10 cm

Cost of paint = £0.04 per cm²

Required:

Cost of painting the box

Solution:

✔️First, find the surface area of the box

Surface area = 2(l*w + l*h + w*h)

S.A = 2(10*80 + 10*20 + 80*20)

S.A = 2(800 + 200 + 1,600)

S.A = 2(2,600)

S.A = 5,200 cm²

✔️Find the cost of painting 5,200 cm² surface area of the box.

Cost of pianting 1 cm² = £0.04

Cost of painting 5,200 cm² = 5,200 × 0.04

Cost of painting the box = £208

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-4/5

Step-by-step explanation:

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The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person
allochka39001 [22]

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)

By substituting values for x1,x2,y1 and y2; the gradient becomes

m = \frac{8 - 2}{5 - 1}

m = \frac{6}{4}

m = \frac{3}{2}

m = 1.50

Hence, the constant of variation is $1.50

7 0
3 years ago
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Find the length of side x.
Nata [24]

Answer:

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Step-by-step explanation:

5 0
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Which expression will make the equation true <br> -4.5+4.4+x=0
nevsk [136]

Answer:

X= 0.1

Step-by-step explanation:

5 0
3 years ago
I need help on this please
tresset_1 [31]

Answer:

The y-intercept is (0, 8)

The x-intercepts are (2, 0) and (4, 0)

The axis of symmetry is a vertical line at x = 3

The vertex is (3, -1)

The graph has a minimum value -1 at x = 3

The domain is {x: x ∈ R} ⇒ (-∞, ∞)

The range is {y: y ≥ -1} ⇒ [-1, ∞)

Step-by-step explanation:

By using the given figure

The figure represents a parabola (the graph of a quadratic function

∵ The parabola intersects the y-axis at point (0, 8)

∴ The y-intercept is (0, 8)

∵ The parabola intersects the x-axis at point (2, 0) and (4, 0)

∴ The x-intercepts are (2, 0) and (4, 0)

∵ The axis of symmetry of the parabola is a vertical line that passes

  through the vertex of it

∵ The x-coordinate of the vertex point is 3

∴ The axis of symmetry is a vertical line at x = 3

∵ The vertex of the parabola is the lowest point on the graph

∵ The lowest point is (3, -1)

∴ The vertex is (3, -1)

∵ The vertex point of the graph is the lowest

∴ The graph has a minimum value -1 at x = 3

∵ The domain is all values of x belong to the parabola

∵ x could be any real number

∴ The domain is {x: x ∈ R} ⇒ (-∞, ∞)

∵ The range is all the values of y from the lowest point

∵ The y-coordinate of the lowest point is -1

∴ The range is {y: y ≥ -1} ⇒ [-1, ∞)

7 0
3 years ago
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