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scoundrel [369]

4 years ago

12

The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of

x?
A) 59
B) 65
C) 77
D) 83

1 answer:

Triss [41]4 years ago

7 0

Answer) C. 77
This picture shows how I got to the answer. You must set up the two expressions to equal each other and then solve for X

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Consider an object moving in the plane whose location at time t seconds is given by the parametric equations: x(t)=4cos(πt) y(t)

VMariaS [17]

Answer:

Since the parametric equation is given as

$x(t)=4cos(\pt t),y(t)=4sin(\pi t)\\\\\therefore x(t)^{2}+y(t)^{2}=16cos^{2}(\pi t)+16sin^{2}(\pi t)\\\\x(t)^{2}+y(t)^{2}=16\\\\$

$\therefore \frac{x^{2}}{4^{2}}+\frac{y^{2}}{4^{2}}=1\\\\comparingwith\\\\\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\\\\\therefore a=4,b=4$

4 0

3 years ago

Read 2 more answers

Ralph Chase plans to sell a piece of property for $160,000. He wants the money to be paid off in two ways monica short-term no

DerKrebs [107]

Answer:

short-term: $90,000
long-term: $70,000

Step-by-step explanation:

Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...

0.11x +0.08(160000-x) = 15500

0.03x + 12800 = 15500 . . . . simplify

0.03x = 2700 . . . . . . . . . subtract 12800

x = 2700/.03 = 90,000 . . . . short-term note

160,000 -90,000 = 70,000 . . . . long-term note

The short-term note was for $90,000; the long-term note was for $70,000.

3 0

3 years ago

Please anyone please help me with this question

marin [14]

Well, It's going to be 8/12 and then reduced it will be 4/6 or 0.667

8 0

4 years ago

What is the exact volume of the figure?

uranmaximum [27]

Answer: 890.12 cm^3

Step-by-step explanation:

The formula for the volume of a cylinder is

$V=\pi *r^2*h$

V=628.3185307 cm^3

or simply

V=628.32 cm^3

Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.

Next, the formula for the volume of a sphere is

$V=\frac{4}{3} \pi *r^3$

so the volume of a hemisphere is half of that or:

$V=\frac{2}{3} *\pi *r^3$

V= 261.7993878 cm^3

or simply

V=261.80 cm^3

Finally, you add both of the volumes together to get

V= 890.1179185 cm^3

or simply

V=890.12 cm^3

7 0

4 years ago

Please help me with this question, and show working out.

Andre45 [30]

<h3>Answer: 2072.4 square cm</h3>

===============================================================

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

4 0

3 years ago