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k0ka [10]
3 years ago
8

Find the measure of the angle between two forces of 30 pounds and 35 pounds if the magnitude of their resultant is 42 pounds

Mathematics
2 answers:
Harman [31]3 years ago
5 0

Answer:

100 degrees

Step-by-step explanation:

30^2+35^2-2*30*35cos80

=42

180-80=100

yKpoI14uk [10]3 years ago
4 0

Answer:

80 degrees

Step-by-step explanation:

42^2=30^2+35^2-2(30)(35)cosx

1764=2125-(2100)(cosx)

-361= -2100cosx

-361/-2100=cosx

0.1719047619=cosx

cos^-1x=80.10141556

Round off to the nearest degree=80

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PLEASE ANSWER!!!! 60 POINTS!!!!!
SpyIntel [72]

2. Distributive Property

4 is distributed and multiplied inside the parenthesis to x and -5.


4. Subtraction Property of Equality

x is subtracted from both sides of the equation.

4x - x - 22 = x - x + 3

3x - 22 = 3


5. Subtraction Property of Equality

22 is added to both sides of the equation.

3x - 22 + 22 = 3 + 22

3x = 25


6. Division Property of Equality

3 is divided from both sides of the equation.

\frac{3x}{3} = \frac{25}{3}

x = \frac{25}{3}

7 0
3 years ago
Read 2 more answers
Nate rented a power washer and a generator. On his first job, he used each piece of equipment for 6 hours which cost $90. On his
sp2606 [1]

Answer:

Step-by-step explanation:

p = power washer and g = generator

6p + 6g = 90 .....multiply by 4

4p + 8g = 100 ....multiply by -6

---------------------

24p + 24g = 360 (result of multiplying by 4)

-24p - 48g = -600 (result of multiplying by -6)

---------------------add

-24g = - 240

g = -240 / -24

g = 10 <=== the generator cost $ 10 per hr

6p + 6g = 90

6p + 6(10) = 90

6p + 60 = 90

6p = 90 - 60

6p = 30

p = 30/6

p = 5 <==== the power washer costs $ 5 per hr

check...

4p + 8g = 100

4(5) + 8(10) = 100

20 + 80 = 100

100 = 100 (correct)

3 0
3 years ago
Why does -2(x + 3y) = 18 equal y=-3-x/3? Please helppp
Citrus2011 [14]

Step-by-step explanation:

You're asking why

{- 2(x + 3y) = 18} = y =  - 3 -  \frac{x}{3}

let's transpose the first equation for y

-2x-6y=18

-6y=18+2x

6y=-18-2x

y=-18/6-2x/6

y=-3-⅓x as required

8 0
2 years ago
Read 2 more answers
Whats the normal arm span for these heights? : 4'10,4'11,5'0,5'4,5'5,5,'7,5'8,5'9,5'10,5'11,6'0
Svetllana [295]

 

In adults, the arm span is approximately 5 cm greater than the height in adult males and 1.2 cm in adult females. To calculate the arm span for the heights given, we add 5cm to their height. The following are the results:

 

Height                   Arm Span Length (in cm)

4’10                        152.32

4’11                        154.86

5’0                          157.4

5’4                          167.56

5’5                          170.10

5’7                          175.18

5’8                          177.72

5’9                          180.26

5’10                        182.80

5’11                        185.34

6’0                          187.88

 

To add, the total measurement of the length from the furthermost part of an individual's arms to the other end when raised equidistant to the ground at shoulder height at a 90º angle is called the arm span or wingspan.

7 0
3 years ago
A recipe for cake calls for 5.25 deciliters of milk. How many liters of milk are needed for the cake?
Aneli [31]
There are 10 deciliters in 1 liter (deci means 10).

Divide 5.25 by 10 to find how many liters are needed.

5.25/10 = 0.525

0.525 liters of milk are needed for the cake.
3 0
3 years ago
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