To balance a seesaw, the distance a person is from the fulcrum is inversely proportional to his or her weight . Roger , who weighs 120 pounds is sitting 6 feet from the fulcrum . Ellen weighs 108 pounds . How far from the fulcrum must she sit to balance the seesaw ? Round to the nearest hundredth of a foot .

Answer:

C.72

Step-by-step explanation:

angle XYZ is an inscribed angle and arc XZ is the arc it intercepts

If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle

Hence, angle XYZ * 2= arc XZ

If Angle XYZ = 36

then 36 * 2 = arc XZ

36 * 2 = 72

hence the answer is C

The measure of arc is 72 degree, the correct option is C.

An arc is formed by two radii and their intercepted part on the circumference.

According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.

The angle subtended by arc XZ on the circumference is 36 degree.

The angle subtended by the arc at the center is = 2 * 36 = 72 degree.

The arc subtended by the arc at the center of the circle is the measure of the arc.

To know more about Arc

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Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

Answer:

19

Step-by-step explanation:

4(4)+3=19

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

Answer:

C. 12

Step-by-step explanation:

Find the percentage of him drawing a blue marble.

4/10 = 0.4

He has a 40% chance of picking blue.

Find 40% of 30.

12

He would draw a blue marble around 12 times.

Answer:

C

Explanation:

So in the bag, there are 10 marbles, and 4 of them are blue, so if he drew from the bag 10 times, we can assume the fraction:

4/10

Next, we see that the denominator, or the number times Cade is drawing from the bag is 30, which makes us multiply most sides of the fraction by 3:

12/30

So I would say 12/30, but again, he wouldn't draw a blue exactly 4 times, and it may be more or less, so either 8/12....

Hope this helps!

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

Answer:

Part A: The tent is shaped like a square pyramid

Part B: a 36ft tent

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don’t know

Answer:

the first step is to divide two by three x

Answer:

x = 12

Step-by-step explanation:

Eliminating the fractional coefficient would be a great start:

8 = (2/3)x becomes 24 = 2x after multiplication of both sides by 3.

Then x = 12

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

Answer:

y=-5/4x-4.

Step-by-step explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

y-1=-5/4(x-(-4))

y-1=-5/4(x+4)

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

Answer: y=-5/4x-4.

Step-by-step explanation:

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: A

Step-by-step explanation: 35 / 2 = 17.5

Answer:

C. is correct

Step-by-step explanation:

i hope this helps :) brainliest please?

Answer:

x=34

Step-by-step explanation:

Again we are given an angle's ( x to be more specific )  opposite side length and the adjacent side length so we will use trig ratio tangent

Recall that tan = opposite over hypotenuse

[tex]tan(x)=\frac{29}{43}[/tex]

* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )

[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]

Finally we round to the nearest tenth of a degree and get that x = 34

Answer:

[tex]W=15ft[/tex]

[tex]L=20ft[/tex]

Step-by-step explanation:

From the question we are told that:

Length of Bed [tex]L=5+W[/tex]

Width of sidewalk [tex]W_s=3ft[/tex]

Area of the bed and sidewalk [tex]A_t= 546ft^2[/tex]

Generally the equation for Area of the bed and sidewalk[tex]A_t[/tex] is mathematically given by

 [tex]Area=L*B[/tex]

 [tex]A_t=((3+3)+L)*((3+3)+W)[/tex]

Therefore

 [tex]546=((3+3)+(5+W))*((3+3)+W)[/tex]

 [tex]0=((6+(5+W))*((6)+W)-546[/tex]

 [tex](11+W)*(6+W)-546=0[/tex]

 [tex]W^2+17B-480=0[/tex]

Solving the Quadratic Equation

 [tex]W=15ft[/tex] (Using only positive root)

Generally the Length L is mathematically given by

 [tex]L=5+15[/tex]

 [tex]L=20ft[/tex]

Answer:

Step-by-step explanation:

The lines are making 90° with each other.

Correct choice is C

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Answer:

The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].

Step-by-step explanation:

The coordinates of the point P' is determined by the following expression:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Translated point.

[tex]T(x,y)[/tex] - Translation vector.

If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':

[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]

[tex]P'(x,y) = (1, 0)[/tex]

The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].

Answer:

-11

Step-by-step explanation:

Lets rewrite the equation with the values

-(-3) - 2³ + ab

3 - 8 + (-3*2)

-5 + -6 = -11

-11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

-11

Step-by-step explanation:

Simply plug in a=-3 and b=2 into the equation provided. Remember the signs (+/-) and be careful with your calculations.

-(-3) - (2)^3 + (-3)(2)  = -11

Answer:

A=hbb= 2

Step-by-step explanation:

your welcome plz brainlist

Answer:

21.75u2

Step-by-step explanation:

first use pythag for this

use rule c2=b2+a2

reverse the rule so that

b2=c2-a2

b2=100-81

b2=19

b=4.35

how u got the height of the triangle

use formula bh/2

10x4.35/2

=43.5/2

=21.75u2

Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

More about the inverse trigonometry link is given below.

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