GUYS I NEED HELP ASAP



A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it, including the gates, is 200 feet long.

Answer:

y = 5x

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

m = 5 on this graph

b is the y intercept which is 0 on this graph

Answer:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Step-by-step explanation:

From the free body diagram attached  below; we will see that

T₃ = Fg   ------ (1)

Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero

Then;

[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]

[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]

Also;

[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]

[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex]   ---- (3)

From equation (2):

[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]

Replacing the above value for  T₂  into equation 3; we have

[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]

[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]

[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex]  ---- (4)

Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B

So ; equation 4 can now be:

[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex]  --- (5)

replacing equation (1) into  equation (5) ; we have:

[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]

Hence; the tension in the string is:

[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]

Answer:Use Distributive property

Answer:

Expand the polynomial using the FOIL method.

2 x 2 − 7 x + 3

Step-by-step explanation:

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Answer:I think 15

Step-by-step explanation:

Answer:

[tex]\frac{-abx^{6}+1 }{b}[/tex]

Step-by-step explanation:

Answer:

we need a picture to help

Answer:

f(x)=24x^7+3x^6+4x^3-x-28

Step-by-step explanation:

Answer:

  D.  31

Step-by-step explanation:

The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...

  ∛(1331 m³) = 11 m

For the box that is 729 m³, the height is ...

  ∛(729 m³) = 9 m

Then the total height of the stack of boxes is ...

  11 m + 11 m + 9 m = 31 m

Answer:

31

Step-by-step explanation:

I took the test on Edmentum, have a good day hope it helps :)

Answer:

  0.17

Step-by-step explanation:

The function can be rewritten as ...

  B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

  6t = 1

  t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

.17

Step-by-step explanation:

Answer: 64 yards I think

Step-by-step explanation:

Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.

Step-by-step explanation:

Answer:

  5

Step-by-step explanation:

Solving the given equation for r, we get ...

  y = rx

  y/x = r

Then we can find r from any pair in the table:

  r = 35/7 = 5

The constant of proportionality is 5.

Answer:

y=3

Step-by-step explanation:

i did it in khan academy :)

solid form

Step-by-step explanation:

it will not loose shape because it is in solid form

Answer:

It freezes it self in the solid state

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Answer:

The answer is 6, 6 is the GCF

Step-by-step explanation:

6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help.    :  )

Answer: m = -2.

The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].

The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].

We multiply both sides by LCM.

[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]

[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]

[tex]m^{2}-4m-4m-16=m^{2}[/tex]

[tex]8m=-16\\m=-2[/tex]

Learn more: https://brainly.com/question/13769924

Answer:

M=-2 B

Step-by-step explanation:

trust me i took the quiz

Answer:

number of Lola hats = h

number of Polly hats = 3h

number of Darla hats = 3h - 8

Step-by-step explanation:

Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.

Let

number of Lola hats = h

number of Polly hats = 3h (recall Polly has triple as many as Lola)

number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)

The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats.  Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

Answer:

4

Step-by-step explanation:

We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!

Answer:

The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].

Step-by-step explanation:

The formula of the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

r is radius of cone

h is height of cone

We have,

Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,

[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]

So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].

Answer:

I think the area is 24

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

17−5(3−4)+(−8)(−3)

=17−(5)(−1)+(−8)(−3)

=17−(−5)+(−8)(−3)

=22+(−8)(−3)

=22+24

=46

Answer:B.104 feet squared

Step-by-step explanation:

First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104

Answer:

B

Step-by-step explanation:

Answer:

  60 km/h

Step-by-step explanation:

The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...

  speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h

The average speed for the journey is 60 km/h.

Answer:

8.1 g/cm

Step-by-step explanation:

Answer:

  17.8 cm³

Step-by-step explanation:

The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:

   V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³

Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...

  V ≈ 17.8 cm³

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]

Answer:

  GH¢1533

Step-by-step explanation:

Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...

  Patricia's share is 2d = 2000

  Luca's share is d+600

From Patricia's share, we know Dauda's share is ...

  d = 2000/2 = 1000

and Luca's share is ...

  1000 +600 = 1600

__

The average share is the sum of these, divided by three:

  (2000 +1000 +1600)/3 = 4600/3 = 1533.33

To the nearest GH¢, the average share is GH¢1533.

Answer:

Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it

Step-by-step explanation:

Answer:

i think it's B

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

A median cuts a triangle into half (2:1) so the triangle is divided into two equal parts.