Dog in a Ditch
Oscar and Rasheed are identical twins. They are both 6 feet tall. They are on opposite sides of
a ditch that is 30 feet wide. Their dog, Earl, is at the bottom of the ditch and is walking away
from Oscar towards Rasheed. Earl can get out if he wants to. When Oscar looks at Earl, his line
of sight makes a 75° angle below the horizontal. When Rasheed looks at Earl, his line of sight
makes a 40° angle below horizontal. Earl has walked % of the way across the ditch. How deep
is the ditch?

Step-by-step explanation:

a) 5³= 5*5*5 = 125

5/125*100%

4%

b) 5²=5*5=25

25/125*100%

20%

Answer:

4h - 29

Step-by-step explanation:

[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]

You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".

Answer:

21,526 people

Step-by-step explanation:

Answer:

Area of the triangle is 36√3

Step-by-step explanation:    Hope this will help

The hypotenuse of each 30 - 60 - 90 triangle is 12

The base length is  6 + 6 =  12 because the triangle is equilateral and the

altitude of the triangle divides the base into two equal parts and the altitude (DC) is the height of the triangle.    

Now you have two 30 - 60 - 90 triangles with the hypotenuse of 12, the short leg = 6 and you need to find the length of DC.

Finding DC .

a² + b² = c²

6² + b² = 12²       0r  the long leg = short leg times √3

36 + b² = 144                                       6√3

   b² = 108

    b = 6√3

Area of a triangle = 1/2bh

                             = 1/2(12)(6√3)

                             = 6(6√3) = 36√3  

[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]

the answer is x = 4.

The constant of proportionality shown in the table that shows the cost and the number of books is 3.

When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.

Direct proportion: y = kx

Where:

k = y/x

6/2 = 3

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Answer:3

Step-by-step explanation:

Answer:

  1206.4 ft³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.

__

The formula for the volume of a cone is ...

  V = 1/3Bh . . . . where B is the area of the base, and h is the height

The formula for the volume of a cylinder is ...

  V = Bh . . . . where B is the area of the base, and h is the height

The formula for the area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

Combining the volume formulas for a figure with the same base area, we have ...

  V = B(cylinder height) + 1/3B(cone height)

  V = B(cylinder height + 1/3×cone height) . . . . where B is the base area

Using 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...

  V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³

The volume is about ...

  384π ft³ ≈ 1206.4 ft³

Answer:

14

Step-by-step explanation:

4x + 2x + 6 = 90

6x + 6 = 90

6x = 84

x = 14

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Answer:

we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally

Step-by-step explanation:

cause 20/5 = 4

Answer:

26

Step-by-step explanation:

Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.

The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.

In order for the two number to be less than 5 when added, the numbers to be picked have to be:

These are 4 possibilities out of a total of 18 possibilities so the probability is:

= 4 / 18

= 2 / 9

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Answer:

See image

Step-by-step explanation:

Plato

Convert angle to radians

So

Area

Answer:

[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula and solve for Area:

[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]

Answer:

x  = 6.2

Step-by-step explanation:

let ‘x’ denotes the weight of a smaller dog.

“1.2″ + x” be the weight of the larger dog

combined weight = 13.6

smaller dog weight =

x+x+1.2 = 13.6

2x + 1.2 = 13.6

2x = 13.6–1.2

2x = 12.4

x = 12.4/2

x = 6.2 pounds.

Hope you understood it, Happy Learning.

Answer:

Nothing provided

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4 x 8 = 32

4 x 16 = 64

4 x  32 = 128

4 x 64 = 256

They can be multiplied by something and 4

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).

Answer:

x>21

Step-by-step explanation:

-2x + 7 < -41  Subtract 7 from both sides

-2x<-48 Divide by negative 2

x>21   When you divide by a negative you have to flip the sign

Answer:

x<28

Step-by-step explanation:

-2x+7<-41

-2x<-48      subtract 7 from both sides

x>24         divide by -2 to both sides

Answer:

864 ft3

Step-by-step explanation:

length = 12 ft

width = 8 ft

depth = 9 ft

Volume = ? = length * width * depth

If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.

Then the radius of the semi-circle will be

2r = 76

 r = 38 m

Then the area of the training field will be

Area = area of rectangle + 2 x area of semi-circle

Area = 97 x 76 + 2 x (1/2) x π x 38²

Area = 7372 + 4536.459

Area = 11908.459 square m

More about the geometry link is given below.

https://brainly.com/question/7558603

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Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

Answer:

What shapes?!?! I can help you if you add an image of the shapes :)

Step-by-step explanation:

Answer:

(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]

Step-by-step explanation: