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3 years ago

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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find two numbers that have square roots between 7 and 8. one number should have a square root closer to 7 and the other should h

Bad White [126]

Step-by-step explanation:

7 = √49

8 = √64

So any positive integer between 50 to 63, both inclusive, have a square root between 7 and 8.

8 0

3 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

5 0

3 years ago

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep o

Drupady [299]

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

$distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$(10, 0) = (x_1, y_1)$

$(16, 8) = (x_2, y_2)$

$d = \sqrt{(16 - 10)^2 + (8 - 0)^2}$

$d = \sqrt{(6)^2 + (8)^2}$

$d = \sqrt{36 + 64} = \sqrt{100}$

$d = 10$

Length of fencing = 6 + 8 + 10 = 24 m

6 0

3 years ago

Please help me with this and thank you

katovenus [111]

Answer:

The answer is D

Step-by-step explanation:

(12 + 6) x ( 11 - 7) = 72

18 x 4 = 72

72 = 72

5 0

3 years ago

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Alex73 [517]

Divide by 365 then by 24 then by 60 and then by 60 again :)

5 0

3 years ago