A dog is on the ground watching a cat on a 6-foot-
high wall. The angle of elevation from the dog to the
cat is 50º. About how far from the wall is the dog?

Answer:

[tex]g\geq 17[/tex]

[tex]g > -10[/tex]

[tex]g > -1[/tex]

Step-by-step explanation:

[tex]7(g-19)\geq -14[/tex]

Divide both sides by 7:

[tex]g-19\geq -2[/tex]

Add 19 to both sides:

[tex]g\geq 17[/tex]

[tex]3(7g+17) > -19+14g[/tex]

Expand brackets:

[tex]21g+51 > -19+14g[/tex]

Subtract 14g from both sides:

[tex]7g+51 > -19[/tex]

Subtract 51 from both sides:

[tex]7g > -70[/tex]

Divide both sides by 7:

[tex]g > -10[/tex]

[tex]6(-6g+6) > -2(19g-17)[/tex]

Expand brackets:

[tex]-36g+36 > -38g+34[/tex]

Add 38g to both sides:

[tex]2g+36 > 34[/tex]

Subtract 36 from both sides:

[tex]2g > -2[/tex]

Divide both sides by 2:

[tex]g > -1[/tex]

Answer:

[tex]y = 0.835193[/tex] (use the '≈' )

Step-by-step explanation:

[tex]y^3+2y^2+12y+16=28[/tex] (original equation)

[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)

[tex]y^3+2y^2+12y-12=0[/tex] (new equation)

then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)

Answer:

1/8

Step-by-step explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11

Hence the possible length of the third side should be greater than 11.

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Answer:

11000 pounds

Step-by-step explanation:

1 US ton=2000 pounds

multiply the mass value by 2000

5.5ton x 2000pound

=11000pounds

Answer:

You know the radius is 1/2 of the diameter.

You can simply do 2/2 which is ONE.

The radius of the trampoline with a diameter of 2 yards will be 1 yard.

The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.

The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,

Radius = Diameter / 2

Radius = ( 2 ) / 2

Radius = 1 yard

Therefore, the radius of the circle will be 1 yard.

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Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

Answer:

See below

Step-by-step explanation:

[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]

Answer:

think of it like this

Step-by-step explanation:

whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's

Now we got 3^4  how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same

basically you are multtiplying the left side to get the same number on the right because it tells you they are even

Answer:

Step-by-step explanation:

(i)

PQRS is a parallelogram (given)

      ∴ QT = TS (Diagonals of a parallelogram bisects each other)

also,   QT = RM (given)

      ∴TS = RM

PQRS is a parallelogram,

     ∴RT = PT (Diagonals of a parallelogram bisects each other)

also, SM = PT (given)

    ∴RT = SM

TS = RM

RT = SM

∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)

(ii)

QP // RS (Opposite sides of a parallelogram are parallel)

∴ ∡RQP = ∡NRS (Corresponding ∡s)

RTSM is a parallelogram(Proved above)

∴MS // RT (Opposite sides of a parallelogram are parallel)

∴NS//RP

∴∡RNS = ∡ QRP (Corresponding ∡s)

in ΔPQR and Δ NSR,

QP = RS (Opposite sides of a parallelogram are equal)

∡RQP = ∡NRS (Proved above)

∡RNS = ∡ QRP(Proved above)

∴ ΔPQR≡ΔSRN (AAS)

Corresponding sides of ≡ Δs are equal, ∴QR = RN

Answer:

options c

trapezoid

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.What shape has Chase described?

Answer:

V = 54π or V = 169.56 units³

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h

If we use 3.14 as pi we get this:

V = (3.14)×(3)²×(6)

V = 3.14×9×6

V = 3.14×54

V = 169.56

Since it is volume the units will be units³

So our final answer is 169.56 units³

If you wanted an exact in pi form you would do the same steps but not simplify pi:

V = πr²h

V = π×(3)²×6

V = π×9×6

V = 54π

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

Answer:

the answer is

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

1. 91/5 + 112/5 + 201/5

2. denominators are the same

3. 404/5

Answer:

0.0001

Step-by-step explanation:

2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator

Answer:

10,000

Step-by-step explanation:

you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.

Answer:

(B) 70.5

Step-by-step explanation:

During the first second the acceleration is 2, and the distance is 2

During the second second the acceleration is 5, and the distance is 4.5

During the third second the acceleration is 4, and the distance is 9

During the last 5 seconds the acceleration is 0, velocity is 11 and the distance is 55 m

2 + 4.5 + 9 + 55 = 70.5 (B)

Answer:

c. b. a.

Step-by-step explanation:

yan po sagot sana po makatulong ito lang po alam ko ehh

Answer:

37,440

Step-by-step explanation:

To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440

:D

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Answer:

k = ±√3

Step-by-step explanation:

Given :

To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.

We already set a relation before, which is :

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

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Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

-------------

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Answer:

Edit:

7. Linear because the graph is a straight line with an x and y variable

8. Non-linear because the graph is not a straight line

Sorry for the confusion with my previous answer! I hope this helps!

Answer:

c = 53.85 or 54

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Im not sure but i think it might be correct.

Answer:

8

Step-by-step explanation:

Answer:

83.6

Step-by-step explanation:

just use your calculator

Answer:

83.6

Step-by-step explanation:

It's simple, just type it in the calculator and you'll get the answer

Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Area of square is the square of its sides length. It can be given as,

A=a^2

Here, (a) is the length of the side of the square

The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,

[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]

The area of small squares with side 1 is,

[tex]A=1^2\\A=1 \rm \;unit^2[/tex]

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.

The hypotenuse side length of this triangle is,

[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]

Thus, the area of the square with √2 side is,

[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]

Similarly, the area of all the squares and triangle with the different sides can be found out.

Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

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