A pendulum is constructed by attaching a 4m rope to a bowling ball. It is then displaced 2m to one side and released.
Ignoring all effects of friction, and without knots,
a) Determine the period of the pendulum. Round to one decimal place.

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck  / Length of the ramp

0.5 = Height between ground and truck  / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

Answer:

8.60

Step-by-step explanation:

the diagram is optically misleading.

how can the 5 side be longer than the 7 side ?

but ignore that.

the important thing is that this is a triangle with a 90 degree angle.

so, we use Pythagoras' formula : a^2 + b^2 = c^2

we know a and b as 7 and 5.

so, the equation is 7^2 + 5^2 = c^2

=> 49 + 25 = c^2

=> 74 = c^2

=> the missing side length c is

[tex] \sqrt{74} = 8.60[/tex]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

Answer:

x-intercept is at (9, 0)

y-intercept is at  (0, 6).

Step-by-step explanation:

The x intercept occurs when y = 0:

2x + 3*0 = 18

2x = 18

x = 9,

y-intercept, when x = 0:

2(0) + 3y = 18

y = 6.

[tex]_____________________________________[/tex]

[tex]_____________________________________[/tex]

Answer:

y= -7/8 - 4/5

Step-by-step explanation:

y=mx+b

y= -7/8 + y intercept (b)

so y= -7/8 - 4/5

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

Answer:

39

Step-by-step explanation:

rs-st= what is being added or subtracted, divided or mulitplied

This is Right answer.....

I hope you understand.....

Thanks....

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

$92.60

Step-by-step explanation:

7($5.99) + 7($6.49)=$41.93

$41.93 + $45.43  = $87.36

$87.36 + ($87.36 × 6%=0.06)

$87.36 + (0.06 × $87.36=5.24)

$87.36 + $5.24= $92.60

Answer:

Equation to find the slope

[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]

y=-3x

hope that answers your question

Step-by-step explanation:

Answer: C. y = -3x

Step-by-step explanation:

Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.

Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.

Answer:

68 pounds a month

Step-by-step explanation:

so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.

Answer:

let the number be x

5(x+27)>6(x+26)

5x+135>6x+156

5x-6x>135-156

-x>-21

×<21

(21,+00)

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer:

40

4

Step-by-step explanation:

a.) because the sides are the same their angles must be too

let x be the angle

100+x+x=180

x=40

b.) because the angles are all the same their sides must be too

4

Answer:

No

Step-by-step explanation:

Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides

Answer:

No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.

Answer:

x = 748 inches

Step-by-step explanation:

.0254 meters in 1 inch

set up a proportion:

.0254/1 = 19/x

cross-multiply:

.0254x = 19

x = 19/.0254

x = 748.03

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

Rectangle area:

Given:

Find w:

Perimeter is the sum of side lengths:

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

Total cost:

Answer:

19/18

Step-by-step explanation:

ii put it inna calculator