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3 years ago

ABC ~ LMN, AB = 18, BC = 12, LN = 6. What is the scale factor of ABC to LMN?

1 answer:

5 0

B because the square root of a squared and b squared is = c squared, therefore, meaning if you have side c and b for triangle ABC you'll do 12"2+x=18'2
which will approximately be 13.42. you put 13.42/6= 2/1

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3 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

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$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

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Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

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$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

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Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

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Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

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the graph of h is the graph of f(x)=x^2 translated 4 units left and 7 units down. Write the function H in vertex form.

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f(x)=a(x - h)2 + k

Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.

The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):

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