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SVETLANKA909090 [29]
2 years ago
11

Joy plans to use a circular tarp to cover her circular picnic table. Which of the following statements is true?

Mathematics
1 answer:
lbvjy [14]2 years ago
4 0

Answer:

A:Joy can use the height of the picnic table to determine the size of the tarp necessary

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HELP ME, SOMEONE!!!
olya-2409 [2.1K]

Answer:

10KL/1000L

8KL/800L

800L/8KL

Step-by-step explanation:

7 0
3 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
Find the surface area of the composite figure.
taurus [48]

Answer:

surface area is 39

Step-by-step explanation:

add the areas of each geometric figure making up the composite 3D figure.

first 3D figure

2+2+6+6

=16---eq 1

from third 3D figure

4+4+10+5

= 23

from 1 and 2

16+23

= 39

may be!! I'm not sure bout this answer

3 0
3 years ago
X/3-4=-7<br><br> please help me solve
Vanyuwa [196]
In order to solve this we need to get x by itself on one side.

We need o start by adding across the 4 so that we get:

x/3 = -7 + 4 = -3

We then need to multiply both sides by 3 to get a singular x:

x = -3 * 3 = -9
5 0
3 years ago
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Write a ratio to express the number of people who preferred WANR to those who preferred WCLM.
iragen [17]
11:12 is the answer to your question
3 0
3 years ago
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