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4 years ago

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A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be m

ade measures 4 cm. The longest side of the drawing measures 34 cm. The longest side of the actual triangular piece to be sculpted must be 16.9 m long. How long will the shortest side of this piece be?

1 answer:

Minchanka [31]4 years ago

7 0

Answer:

The shortest side will be 198.82 cm (1.98 m) long

Step-by-step explanation:

This problem can be solved using proportions.

First we have that:

Shortest side in scale drawing = 4 cm

Longest side in scale drawing = 34 cm

Shortest side in actual piece = x cm

Longest side in actual piece = 16.9 m, but we know that 1 meter = 100 cm, therefore 16.9 meters would be 16.9 x 100 = 1690 cms.

Now we write down the proportion and solve for x

$\frac{4}{x}=\frac{34}{1690} \\x=\frac{4(1690)}{34} \\x=\frac{6760}{34}\\ x=198.82$

Therefore, the shortest side of piece will be 198.82 cm. (or 1.98 meters long)

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Which statement is NOT a step used when constructing an inscribed hexagon?

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Swing two arcs above and below the radius is not a step used when constructing an inscribed hexagon.

Answer: Option A

<u>Step-by-step explanation:</u>

<u>There are some steps to draw the inscribed hexagonal.</u>

1. You will have to give a circle marked with a center.

2. Draw a circle radius with a straightedge.

3. Keep the compass open on the radius width and place it where the radius and its circle intersect.

4. Bend the arc along the radius that intersects the circle to the left of the originally drawn radius.

5. Keep the compass width same and set it on the new intersection created in the previous step.

6. Continue this process until six points intersections appear in the circle.

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3 years ago

41% of 78 is what??

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Answer:

31.98

Step-by-step explanation:

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Solve the inequality X+ 7 < 4x+ 25 The solution is x

Mazyrski [523]

Answer:

$x > -6$

Step-by-step explanation:

Solve the following inequality:

$x + 7 < 4x + 25$

-Take $4x$ and subtract it from $x$ :

$x - 4x + 7 < 4x - 4x + 25$

$-3x + 7 < 25$

-Subtract $7$ on both sides:

$-3x + 7 - 7< 25 - 7$

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$\frac{-3x}{-3} < \frac{18}{-3}$

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3 years ago

Which parent functions have an intercept at (0,0)Choose all that are correct.

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Answer:

Linear, Quadratic, Radical, Absolute Value, Cubic, Cube Root

Step-by-step explanation:

To find:

Which functions have an intercept at (0, 0).

That means, when we put a value $x=0$ in the $y =f(x)$ , value of $y=0$ .

Let us discuss each <em>parent</em> function one by one:

1. Linear:

$y = x$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

2. Quadratic:

$y = x^2$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

3. Radical:

$y = \sqrt x$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

4. Absolute Value:

$y = |x|$

When we put x = 0, y = 0

Therefore, it has intercept at (0, 0).

5. Rational:

$y = \dfrac{1}{x}$

When we put $x = 0\Rightarrow y \rightarrow \infty$

Therefore, it does not have intercept at (0, 0).

6. Exponential:

$y = b^x$

b is any base

When we put $x = 0\Rightarrow y =1$

Therefore, it does not have intercept at (0, 0).

7. Logarithmic:

$y = logx$

When we put $x = 0 \Rightarrow y\rightarrow$ Not defined

Therefore, it does not have intercept at (0, 0).

8. Cubic:

$y = x^3$

When we put $x = 0\Rightarrow y =0$

Therefore, it has intercept at (0, 0).

9. Cube Root:

$y = \sqrt[3]x$

When we put $x = 0\Rightarrow y =0$

Therefore, it has intercept at (0, 0).

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Source:
http://www.1728.org/volcone.htm

</span>

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