Its awpicture please help if you can

What is the constant of proportionality in the equation y = 7x? constant of proportionality =

stiks02 [169]

The constant of proportionality is 7.

6 0

3 years ago

Read 2 more answers

What is the volume of a pyramid whose base is a square of area 36 and whose four faces are equilateral triangles?

irina1246 [14]

Answer:

$V = 36\sqrt{2}$

Step-by-step explanation:

The volume of a pyramid is

$V = \dfrac{1}{3}Bh$

where B = area of the base, and h = height of the pyramid

The base is a square.

$A = s^2$

$s = \sqrt{A}$

$s = \sqrt{36}$

$s = 6$

The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.

An altitude of this triangle measures

$a = \sqrt{6^2 - 3^2}$

$a = \sqrt{27}$

The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.

$h = \sqrt{(\sqrt{27})^2 - 3^2 }$

$h = \sqrt{27 - 9}$

$h = \sqrt{18}$

$h = 3 \sqrt{2}$

Volume of the pyramid:

$V = \dfrac{1}{3}Bh$

$V = \dfrac{1}{3}(36)(3\sqrt{2})$

$V = 36\sqrt{2}$

5 0

4 years ago

Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games. In her simulation, the numb

fiasKO [112]

Answer:

C. 7269108

D. 0689271

E. 7042351

Step-by-step explanation:

If the number is 0,1 or 2, it is a win.

Otherwise, it is a loss.

Each number is a match.

A. 8531905

Two wins(0,1), 5 losses(8,5,3,9,5)

B. 4963184

One win(1), 6 losses(4,9,6,3,8,4)

C. 7269108

Three wins(2,1,0) and four losses (7,6,9,8)

D. 0689271

Three wins (0,2,1) and four losses (6,8,9,7)

E. 7042351

Three wins (0,2,1), four losses (7,4,3,5)

F. 9094562

Two wins (0,2) and five losses (9,9,4,5,6)

6 0

4 years ago

A rectangle has a perimeter of 48m. The width is 2m less than the length. Using an equation find the dimensions.

Anna [14]

Ok so we know that the total perimeter of the rectangle is 48m.

We also know that to get the perimeter, it is the sum of two lengths and two widths.

Therefore 2L + 2W = 48

However, we also know that the width is 2m less than the length, so the above equation can be rewritten as:
2L + 2(L-2) = 48

We can simplify this to make it
4L - 4 = 48
So 4L = 52
Hence L = 13.

We know that the width is 13-2, so the width is 11.

So the length is 13m and the width is 11m

Hope this helped

5 0

4 years ago

$600 is deposited in an account that pays 7% annual interest, compounded continuously. What is the balance after 5 years? Please

QveST [7]

Answer:

810

Step-by-step explanation:

600 x7x 5/100 = 210

balance after 5yrs is 210 + 600=810

4 0

3 years ago