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2 years ago

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In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines? A) transversal B) per

pendicular C) normal D) bisector

1 answer:

Alex73 [517]2 years ago

6 0

Answer:

A) transversal

Step-by-step explanation:

The vocabulary term you're looking for is "transversal."

A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).

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What is the solution to f(x)=g(x)?

blsea [12.9K]

C) and E) because for X = -1 and X= 1 the functions f(x) and g(x) they have the same values.

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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: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

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

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

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

Substitute value for r

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

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

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

Collect like terms

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

Make h the subject

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

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

Rationalize

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

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

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

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2 years ago

10,000 pounds = ____ tons Write numerical answer only

MrRa [10]

Answer:

2,000 pounds = 1 ton........sooooo 10,000 pounds = 5 tons

Step-by-step explanation:

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2 years ago

Plz help no guessing

Lina20 [59]

You answer will be B, as the graph increases 5 miles per hour

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3 years ago

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R is inversely proportional to A.

hjlf

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ $\frac{1}{A}$

so, R = $\frac{k}{A}$ -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

12 = $\frac{k}{1.5}$

or, k = 12×1.5 = 18

From eq 1 we get,

R = $\frac{18}{A}$ --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = $\frac{18}{5}$ = 3.6

b) Putting R = 9 in eq 2 we get

R = $\frac{18}{A}$

or, A = $\frac{18}{9}$ = 2

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3 years ago

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