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vodomira [7]
3 years ago
11

We are given that a force of 40 N is exerted at an angle of 39°. Therefore, the force vector F can be represented as the hypoten

use of a right triangle with an acute angle 39°. The length of the hypotenuse would be
Mathematics
1 answer:
Deffense [45]3 years ago
6 0
The answer is 0 degrees 
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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
3 years ago
4.) Katrina is reading a book that has 384 pages. If she reads 12 pages a day, how many days will it
JulsSmile [24]

384 / 12 = 32.

Long division.

4 0
3 years ago
Which of the following are integers?<br> 13<br> 14<br> -16<br> 147<br> 1000000<br> -3<br> -0.35
nikklg [1K]

Answer:

13 integer

14 integer

-16 integer

147 integer

100000 integer

-3 integer

-0.35 not integer

Explanation:

The integers are all negative or positive whole numbers

7 0
2 years ago
Read 2 more answers
Anyone answer please it is my H.W <br>don't spam ❌❌​
Nata [24]

Answer:

2a) = soln

20/3

2) divide the numeral by dinominator..

3)a) soln 7 3/4

4*7+3

= 31

do all like this ❣️

3 0
2 years ago
Read 2 more answers
Please help me this question
postnew [5]
Let's split it into rectange and tringle
BC= 2.1+ sqrt(3.2^2 - 1.9^2) = 4.67
7 0
3 years ago
Read 2 more answers
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