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OleMash [197]
3 years ago
11

An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing for every 8 meters on the

sculpture. What is the area of the scale drawing? Show your work.

Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

Answer:

Area of drawing= 0.315 m²

Step-by-step explanation:

Base = 6m

Height = 4.2 m

Area = height* base

Area= 4.2*6

Area= 25.2 m²

The scale is 10 cm on the drawing for every 8 meters on the sculpture.

Which is 10 cm to 800 cm

Or

0.1m to 8m

Arra of sculpture= 25.2 m²

area of drawing= (25.2*0.1)/8

Area of drawing= 0.315 m²

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Yes, SSS

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4 0
3 years ago
Write the following equation in slope- intercept form 6x+2y=20
lorasvet [3.4K]

Answer:

y = -3x + 10

Step-by-step explanation:

6x+2y=20

First, you want to subtract 6x from both sides.

2y=-6x+20

Now, you want to divide by 2 on both sides because you want to get y by itself.

y = -3x + 10

3 0
3 years ago
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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
A person is watching a boat from the top of a lighthouse. The boat is approaching
Lapatulllka [165]

9514 1404 393

Answer:

  445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

  Tan = Opposite/Adjacent

  tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

  distance to boat = (200 ft)/tan(angle of depression)

__

We want the change in distance between the two angles, so ...

  change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

  = (200 ft)(cot(17°31') -cot(46°41'))

  change in distance ≈ 445.10 ft

7 0
3 years ago
What’s a mode in a dit plot
Mariana [72]

Answer:

You can use it to plot to find mean, median, mode, and outliers of data sets.

Step-by-step explanation:

3 0
3 years ago
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