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djverab [1.8K]
2 years ago
6

Sheena wants to simplify the expression 7(4x + 2y) - 6x + 3. Tell whether each step is the first step she should take by selecti

ng Yes or No.
Mathematics
1 answer:
sdas [7]2 years ago
6 0

Answer:

2 2 + 1 4 + 3

Step-by-step explanation:

7 ( 4 + 2 ) − 6 + 3

2 8 + 1 4 − 6 + 3

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
2 years ago
Read 2 more answers
Please anythign would be helpful fast ill mark brainliest
saveliy_v [14]
I believe it is 180° around H and translate 2 up 5 right
5 0
3 years ago
State two numbers such that the grader number is 75% more than the lesser number
Marianna [84]
75% is equal to 3/4. So the easiest way to do this is to make the smaller number a multiple of 4. Let's say the smaller number is 8. To find the larger number, you must take 75% of 8 and then add it to 8. 1/4 of 8 equals 8 divided by 4, which is 2. Therefore, 3/4 of 8 is 6. 8 + 6 = 14. 

Thus, your two numbers could be 8 and 14. 
3 0
2 years ago
Consider the function f(x)=−3/4 x+1.
jenyasd209 [6]
-(3/4) (12)+1 = -9+1=. -8
7 0
2 years ago
How do you find the height of a triangle?
Dmitrij [34]
Answers:  height, "h", of a triangle:    <span> h = 2A /  (b₁ + b₂) .
___________________________________________________ </span>
Explanation:
__________________________________________________
The area of a triangle, "A", is equal to (1/2) * (b₁ + b₂) * h ; 
                                    or:  A = (1/2) * (b₁ + b₂) * h
                                    or: write as:  A =  [(b₁ + b₂) * h] / 2 ;
          ___________________________________________
                                     in which:  A = area of the triangle; 
                                                       b₁ = length of one of the bases
                                                                 of the triangle ("base 1");
                                                       b₂ = length of the other base
                                                                 of the triangle ("base 2");
                                                       h = height of the triangle;
____________________________________________________
To find the height of the triangle, we rearrange the formula to solve for "h" (height); assuming that all the units are the same (e.g. feet, centimeters); if no "units" are given, then the assumption is that the units are all the same.
We can use the term "units" if desired, in such cases; in which the area, "A" is measured in "square units"; or "units²",
_________________________________
So, given our formula for the "Area, "A"; of a triangle:
_________________________________________________
 A =  [(b₁ + b₂) * h] / 2 ; we solve for "h" in terms of the other values; by isolating "h" (height) on one side of the equation.
     If we knew the other values; we plug in the those other values.
______________________________________________
  Given:   A =  [(b₁ + b₂) * h] / 2 ;

Multiply EACH side of the equation by "2" ;
_________________________________________
            2*A = {  [(b₁ + b₂) * h] / 2 } * 2 ;
_________________________________________
to get:
_________________________________________
           2A = (b₁ + b₂) * h ;
_____________________________________________________
           Now, divide EACH side of the equation by:  "(b₁ + b₂)" ;  to isolate "h"
on one side of the equation; and solve for "h" (height) in terms of the other values;
_____________________________________
            2A /  (b₁ + b₂) = [ (b₁ + b₂) * h ] / (b₁ + b₂);
______________________________________
to get:
_______________________________________________
           2A /  (b₁ + b₂)  =  h ;  ↔<span>  h = 2A /  (b₁ + b₂)  .
__________________________________________________</span>
7 0
3 years ago
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