A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____  pounds    ||→vx||= ___ pounds    What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds    ||→v||=  ____pounds   ​​​​

Answer:

Step-by-step explanation:

Correct choice is B

Step-by-step explanation:

[tex] \sf \: \dfrac{3}{4} + \dfrac{1}{2} \\ \sf ➡ \frac{3 + 2}{4} \\ \sf➡ \frac{5}{4} \\ \sf➡1 \frac{1}{4} [/tex]

Answer:

C (3 inches by 6 inches)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25

Answer: The coordinates of the triangle JKL are (1,2),(4,2) and (3,5)

We need to determine the coordinates of the triangle J'K'L' rotated 360° clockwise with the origin.

Coordinates of the triangle J'K'L':

The rule to rotate the triangle 360° clockwise with the origin is given by

(x,y) => (x,y)

The coordinates of the point J' is given by

(1,2) => (1,2)

The coordinates of the point K' is given by

(4,2) => (4,2)

The coordinates of the point L' is given by

(3,5) => (3,5)

Therefore, the coordinates of the triangle J'K'L' are (1,2), (4,2) and (3,5)

HOPE THIS HELPS

Answer:

-6

Step-by-step explanation:

Let the number be 'x'

Sum of a number and one = x + 1

Sum of a number and one is doubled = 2*(x +1) = 2*x + 2*1 = 2x + 2

Four less than the number = x - 4

2x + 2 = x - 4

Subtract 'x' from both sides

2x - x + 2 = x - x - 4

x + 2 = -4

No, subtract 2 form both sides

x + 2 -2 = - 4 - 2

x = -6

9514 1404 393

Answer:

  (a)  63.4 degrees

Step-by-step explanation:

Any of the trig relations can be used. Since the picture cuts off the value of the hypotenuse, we choose to use the adjacent and opposite sides.

  Tan = Opposite/Adjacent

  tan(L) = 6/3 = 2

  L = arctan(2)

  ∠L ≈ 63.4°

__

Your calculator can do this, too. Be sure the mode is set to "degrees."

Answer:

Step-by-step explanation:

The area for the sector of a circle is

[tex]A_s=\frac{theta}{360}*\pi r^2[/tex]  where theta is the measure of the central angle. We have some given values to fill in:

Area is 64π and the central angle is 90°, so all we have left to find is the radius. Filling into the equation:

[tex]64\pi =\frac{90}{360}*\pi r^2[/tex]

Let's get that solved for r-squared first:

[tex]\frac{360(64\pi )}{90\pi } =r^2[/tex]

Doing all the math on that gives us:

[tex]256=r^2[/tex]

Take the square root of both sides and get that r = ±16. BUT we know that lengths cannot be negative, so we disregard the -16 and say that the radius is 16 inches.

Answer:

34

Step-by-step explanation:

11-7=4

34+4=38

Answer:

38

Step-by-step explanation:

34 + (x - 7)                           original equation

34 + ((11) - 7)                        plug in the variable

34 + 4                                  simplify in parentheses

38                                        simplify (answer)

Answer:

y = -1/2x + 2

Step-by-step explanation:

A perpendicular line will have a opposite reciprocal slope.

Since the line's slope is 2, the perpendicular line will have a slope of -1/2

Plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

3 = -1/2(-2) + b

3 = 1 + b

2 = b

Plug in the slope and b into y = mx + b

y = -1/2x + 2

So, the equation is y = -1/2x + 2

Answer:

$30.25

they each put together $30.25

Step-by-step explanation:

121.00 divided by 4 =

30.25

Answer:

D is Permutation with repetition right

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are 6-10

Answer:

4/3 x 5/8 is correct

Step-by-step explanation:

Answer: C 7/10 * 5/8

Step-by-step explanation:

4/3 * 5/8 = 20 / 24 = 5 / 6

3/2 * 5/8 = 15 / 16

7/10 * 5/8 = 35/80 = 7 / 16

9/7 * 5/8 = 45 / 56

5/8  = 10/16

7/16 < 10/16

7/16 < 5/8

Answer: 19.101 miles north

Step-by-step explanation:

Now were given an right angled trinagle with the with the 2nd angle being 23 degrees and given a triangle leg length of 45 miles which is adjcent to the angle and were trying to find how find out how far north it went meaning were trying to find how far up it went thus trying to find the side opposite of the angle.

So now we know our facts we need a trig function which uses both the adjacent and opposites sides, that would be tangent.

Answer:

10

Step-by-step explanation:

Answer:

5,7%

Step-by-step explanation:

190270 is 100%

1% is 1902,7

10770/1902,7 = 5,66

Answer: 12 tigers

Step-by-step explanation:

Since the ratio of lions to tigers is 1:3, meaning that for every one lions there three tigers and there's 4 lions and for every one lion there 3 tigers so we need to mulitpy 4 by 3

4×3=12 meaning there 12 tigets in the zoo.

Answer:

There are 12 tigers!

Explanation:

Let the tigers be X.

The ratio is 1:3, so it means that 1:3 = 4:X

1 x X = 3 x 4

X = 12

So, there are 12 tigers.

Have a good day!

Answer:

x = 10

y = 20

Step-by-step explanation:

7x + 90 + 20 = 180

7x = 70

x = 10

5x + 2y = 90

50 + 2y = 90

2y = 40

y = 20

Answer:

Step-by-step explanation:

Angle 1=24°

Angle 2=90°

Angle 3=90-24= 66°

Answer:

Step-by-step explanation:

According to Angle sum property of triangle,

x + 45° + 85° = 180°

=> x = 180 - 85 - 45

=> x = 180 - 130

=> x = 50

Hence,

The missing angle x is 50° (Ans)

Answer:

45+85+x=180(sum of angle of triangle)

or, 130+x=180

or, x=180-130

x=50

Step-by-step explanation:

here, the sum of angle of triangle is 180

Answer:

b. If there is a linear relationship between the amount of mercury in a lake and the surface area of the lake, the probability of observing a test statistic of 2.086 is 0.05.

( the null is rejected and alternate is accepted)

Step-by-step explanation:

Here the critical value is t≥ t∝/2(n-2) = ± 2.086

The significance level is ∝= 0.05 and  the p- value is also 0.05

Which indicates that there is no correlation between the dependent and the independent variable.

If the p - value is less than 0.05 the null hypothesis is rejected.

There is a 5% chance that the  hypothesis is true.

So the null hypothesis should be rejected.

Given these options

a) if------as 2.086 or more extreme is 0.05

2.086 or 0.05 is the same in this case one cannot be more extreme.

c)  of 2.086 or greater is 0.05.

b). If there is a linear relationship ------.

This is the alternate hypothesis.

0.05 is not greater than 2.086 in the given question

d)  If there is not a linear relationship between the amount of mercury in-----.

This is the claim which is formulated as null  hypothesis.

e) if----  2.086 or more extreme is 0.05.

0.05 is the same as 2.086

At p- value 0.05 we reject the null hypothesis and accept the alternate hypothesis

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The computation of the percent of the professional professors there are tenured is shown below;

Given that

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

Based on the above information

As we know that 90% of the professors could be academic professors or tenured or both

so  here we can say that the percent of academic professors  is

= 60 + 70 - 90

= 40

Therefore professors  tenured will be

= 70 - 40

= 30

Now the percentage of professional professor that is tenured is

= 30 ÷ 40 × 100

= 75%

Answer:

2031

Step-by-step explanation:

3.63=0.046x+2.664

0.966=0.046x

21=x

2010+21=2031

Answer:

It's exactly normal, because both populations are normally distributed.

Step-by-step explanation:

Khan Academy

Answer:

Step-by-step explanation:

Answer:

About 80% of the students would prefer the shorter school day

Step-by-step explanation:

20/25=.8

80/100=.8

If the results are similar then that will be your answer

Answer:

B is not correct. rational numbers can be negative