Can y’all please help me out with these questions

Mathematics

1 answer:

Lesechka [4]3 years ago

3 0

Answer:

Prisms have two base shapes pyramids only have one.

Step-by-step explanation:

A prism has a rectangle side then the other sides are triangles. A pyramid only has triangle sides.

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Part A: Solve −np − 70 < 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work. (6 points

likoan [24]

For part A, lets write the problem

$-np - 70\ \textless \ 40$

add $70$ to both sides

$-np - 70 + 70 \ \textless \ 40 + 70

-np \ \textless \ 110$

we are going to reverse the inequality, to do this we are going to multiply both sides by $-1$

$(-np ) ( -1 ) \ \textgreater \ 110 ( -1 )$

$pn \ \textgreater \ -110$

divide both sides by $p$

$\frac{pn}{p} \ \textgreater \ \frac{-110}{p}$

our answer would be

$n \ \textgreater \ \frac{-110}{p}$

lets go with part b, lets write the problem

$4w - 7k = 28$

subtract $4w$ from both sides

$4w - 7k - 4w = 28 - 4w$

$-7k = 28 - 4w$

divide both sides by $-7$

$\frac{-7k}{-7} = \frac{28}{-7} - \frac{4w}{-7}$

I few simplified it, we would be left with,

$k = -\frac{28 - 4w }{7}$

I hope this helped!!

- Kiana

7 0

4 years ago

Find the standard form of the complex number 6(cos(30degree) +i sin (30 degree))

Marat540 [252]

Answer:

= 3√3 + 3i

Step-by-step explanation:

Cos 30° = √3/2

Sin 30° = 1/2

Therefore;

z = 6 (cos 30° + i6 sin 30°)

= 6 (√3/2) + i 6 (1/2)