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3 years ago

30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

N76 [4]3 years ago

6 0

You start with $70 then you add $20 each bar.

bazaltina [42]3 years ago

3 0

You start from 0. Since Barton saves $20 each week, you have to move 20. So, from 0 you will go to 20, then 40, then 60 and the pattern goes on. At the same time you go right in a diagonal line. I attached a picture but I'm not sure you will understand it well.

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Also need help with this one

katen-ka-za [31]

Let the width of table B be w, and since area of table A = area of table B, then 6 2/3 x 3 1/2 = 4 1/4 x w [this is the required equation]
20/3 x 7/2 = 17/4 w
17/4 w = 70/3
w = 70/3 / 17/4 = 70/3 x 4/17 = 280/51 = 5 25/51

8 0

2 years ago

A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along the axis of symmetry and the

Elis [28]

9514 1404 393

Answer:

8√3 ≈ 13.86 ft

Step-by-step explanation:

The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...

y = 1/(4p)x^2

y = 1/12x^2

The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.

For y=4, the corresponding value of x is ...

4 = 1/12x^2

48 = x^2

√48 = x = 4√3

Then the width of the searchlight opening is ...

2(4√3 ft) = 8√3 ft ≈ 13.86 ft

5 0

3 years ago

Please answer no trolls

satela [25.4K]

Answer:

$\Huge\boxed{D.14.6}$

Step-by-step explanation:

Hello There!

We can solve for x using trigonometry

More specifically the law of sines

In the image you can see that a side length divided by sin(its opposite angle) is equal to another side length divided by sin(its opposite angle)

so to find x we use this equation

$\frac{x}{sin59} =\frac{17}{sin90}$

step 1 multiply each side by sin 59

now we have

$x=\frac{17sin59}{sin90}\\x = 14.6$

so we can conclude that x = 14.6

7 0

3 years ago

Please help thank you again

guajiro [1.7K]

Answer:

True

Step-by-step explanation:

So, again, from the most right column, we can add 5, -6, and -2 to get -3. We now know that every row or column must be equal to -3.

The question is asking if the number square below is -3. We found out from above that is -3 so it's true.

3 0

3 years ago

A circular garden has a circumference of

omeli [17]

This solution to this problem is predicated on the fact that the circumference is just: $2\pir$ . A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

$d\pi$

So, solving for both the radius and the diameter gives us:

$d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2$

So, the length of thes traight path that goes through the center of the guardain is just $8xy^2$ , and we can use the radius for the next part of the problem.

The area of a circle is $\pi r^2$ , which means we can just plug in the radius and find our area:

$A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4$

So, we have found our area( $16 \pi x^2 y^4$ ) and the problem is done.

6 0

3 years ago