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allsm [11]
2 years ago
10

Find the sum of 1005 and 296

Mathematics
2 answers:
Brut [27]2 years ago
7 0

Answer: the sum is 1301

Brrunno [24]2 years ago
6 0

Answer:

1301

Step-by-step explanation:

1005 + 296 = 1301

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then  

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and  

  the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

  coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)  

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

 positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

 the positive part of x-axis

3 0
3 years ago
Please helpppppppp:(((((((((((((((((((
Alja [10]

Answer:

The area is 243 square feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of all four sides.

Two of the sides represent the length and two represent the width.

Given what we know and using l to represent the length and w to represent the width.

l + l + w + w = 72ft

or more concisely

2l + 2w = 72ft

The four sides all add together to equal 72ft

We also know that

l = 3w

This says the length is equal to 3 times the width

we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.

The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us

2(3w) + 2w = 72ft

2 times 3w is 6w

6w + 2w = 72ft

6w plus 2w is 8w

8w = 72ft

Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides

8w / 8 = 72ft / 8

8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft

w = 9ft

So now we know the width is 9ft

if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w

l = 3(9ft)

3 times 9 is 27 so

l = 27ft

So the length is 27ft which is 3 times the width of 9ft

The area of a rectangle is length times width or l x w, so

area = 27ft x 9ft

area = 243sqft

ft means feet and sqft means square feet

4 0
3 years ago
What is the area of this quadrilateral?
vagabundo [1.1K]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
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notsponge [240]

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 + 3

f(-3) = 2(-3)^2 + 3

f(-3) = 2(9) + 3

f(-3) = 18 + 3

f(-3) = 21

6 0
3 years ago
I need to find the equal expression to -m(2m+2n)+3mn+2m². Help please?
spin [16.1K]

m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}

4 0
3 years ago
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