Answer:

36 = 2² * 3²
84 = 2² * 3 * 7

Explanation:

Pf of 36 = 2 * 2 * 3 * 3 which then becomes 2 (to the power of 2) times 3 (to the power of 2)

Pf of 84 = 2 * 2 * 3 * 7 which then becomes 2 (to the power of 2) * 3 * 7

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6 0

3 years ago

Daniel makes 100 dollars each week. He worked for x

8090 [49]

Answer:

100x

Step-by-step explanation:

3 0

3 years ago

Suppose a family starts out 50 miles from home at time t = 0. They travel away from home at a constant speed of 45 miles an hour

skelet666 [1.2K]

50 miles, t=0 is the start
45 miles each 1 hour

A. d= 45•t+50

3 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!!

Gnoma [55]

Answer:

The surface of the prism is 84m²

Step-by-step explanation:

You have 4 figures here (two the same triangles)

you need to determine the surface of each and then sum it to one. This will be your final surface.

rectangles:

3*6= 18m²

5*6 = 30m²

4*6 = 24m²

triangles:

You need to determine the square of the triangles from the Heron's formula.

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

$S=\sqrt{s(s-a)(s-b(s-c)}$ ,

where s is the semi-perimeter of the triangle; that is,

$s=\frac{a+b+c}{2}$ .

So the permimeter of the triangle is

2p=4+5+3 = 12m

p = 6m

$S = \sqrt{p*(p-a)*(p-b)*(p-c)} = \sqrt{6*(6-3)*(6-4)*(6-5)} = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]$

So the surface of the prism is a total sum of all surfaces:

P = 18m²+30m²+ 24m²+2*6m² = 84m²

6 0

2 years ago