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anzhelika [568]

3 years ago

5

Taylor wants to find the perimeter of a rectangular playground. The lenght of the playground measures (3x-20) metres. The width

of the playground measures (2x+4) metres. What is the perimeter of the playground?

1 answer:

stellarik [79]3 years ago

8 0

Answer:

Step-by-step explanation:

P = 2(3x-20) + 2(2x+4) = (6x-40) + (4x+8) = 10x-32

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Multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)

vesna_86 [32]

Answer:

(√10 +2√8)(√10 -2√8)=

(10 -8√5 + 8√5 -32)

10+0-32

10-32

= -22

Hope this helps.

6 0

3 years ago

Please help me with this following problem

Volgvan

Answer:

a - 30.2

b - 271.8

Step-by-step explanation:

60/4=15

60/3=20

9+6.45+2.4+8.15+4.2=30.2

30.2x9=271.8

7 0

2 years ago

A multivitamin tablet contains 10.5 mg of calcium. How much calcium does a bottle of 50 tablets contain? Write your answer in gr

andrew11 [14]

Just do 10.5 × 50 and whatever answer you get label as grams

4 0

3 years ago

Read 2 more answers

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers

In a recent swim meet, Jason swam 100 meters in 20 seconds.<br> Jason swam ? meters per second

mafiozo [28]

Answer:

5 m/s

Step-by-step explanation:

100 meters divided by 20 seconds

5 0

3 years ago

Read 2 more answers