To secure a telephone pole, a steel cable will be attached to a ring on the pole 12 feet above the ground. If the cable is 15 feet long, how far from the base of the pole will the other end of the cable be anchored?

Answer:

1. y= -2

Step-by-step explanation:

i hope this helps :)

Answer:

option (3)

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 5 ) and (- 2, - 4) with x- coordinates - 2 , then

x = - 2 ← equation of line

Answer: The answer is B. The number of striped landyards sold.

Step-by-step explanation:

Answer:

could you put the picture?

Add the picture please.

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

Answer:

2x+4 or 4+2x

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the Trigonometric Ratios

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

[tex]cos(72)=\frac{6.6}{x}[/tex]

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have [tex]xcos(72)=6.6[/tex]

Step 2 divide each side by cos(72)

[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

Step-by-step explanation:

A=a+b

2h=13+10

2×18=207

formula a=a+b/2×18

Answer:

10[tex]x^{2}[/tex]-55xy-30[tex]y^{2}[/tex]

Step-by-step explanation:

Answer:

The weight of an object is how heavy the object is

The capacity of a container is the amount the container can hold.

A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?

Annie needs 13 quarts of coffee. I know this because 1 US quart is 32 US fluid ounces. 16 fluid ounces multiplied by 26 mugs of coffee is 416 and then you convert 416 fluid ounces into 13 quarts.

Convert: 9 T =  18,000 lb

Compare. Write <, > or = Solve.

96 fl oz < 13 c

Compare. Write <, > or = Solve.

25 lb > 384 oz

Compare. Write <, > or = Solve.

8 yd = 288 in.

Convert. 336 oz = 21 lb

Step-by-step explanation:

Answer: 90%

Step-by-step explanation:

[tex] \frac{19}{6} \pi \times \frac{360}{75} = \frac{19}{6} \pi \times \frac{24}{5} = \frac{76}{5} \pi[/tex]

[tex] {x}^{2} \times \pi = \frac{76}{5} \pi[/tex]

[tex]x = \frac{2 \sqrt{95} }{5} = 3.9[/tex]

Answer:

9/16

Step-by-step explanation:

Multiply across -

3*3 = 9

4*4 = 16

9/16

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]

Answer:

What are you trying to solve? That equals 6/8

Step-by-step explanation:

Answer:

9.375Inch

Step-by-step explanation:

First I did 75 divided By 4 to get how many 4 feet the light house is and then got 18.75 ft and then divided that by 2 and got 9.375inches

Yes, Triangles ABC and AED are congruent by SSS or SAS.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in image.

Now,

Here, In triangles ABC and AED;

⇒ AB = AE = 7

⇒ BC = DE

⇒ AC = AD

⇒ ∠BAC = ∠DAE

Thus, The triangles ABC and AED are congruent by SSS and SAS.

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Answer:

congratulations x3

Step-by-step explanation:

Answer:

I have to wait for one ...............

Answer:

C and D

Step-by-step explanation:

B = √2.56

B = ±1.6

Answer:

x=18

Step-by-step explanation:

3(x-4)=2x+6

3x-12=2x+6

3x-2x=6+12

x=18

Answer:

[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]

Hope it helps!

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify

If x = 5, the value of expression is

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

Answer:

7.5

3/2 = 1.5

6 + 1.5 = 7.5

Step-by-step explanation:

pemdas

Answer: D

Step-to-step explanation:

Answer:

C

Step-by-step explanation:

The orange shirts will have 32/6 = 5 with 2 left over

The blue shirts will have 29/6 = 4 with 5 left over

The green shirts will have 34/6 = 5 with 4 left over

The left overs are 2 + 5 + 4 = 11 but I have divided the colors equally. If color does not matter then the total number of shirts = 32 + 29  + 34

The total number of shirts is 95

95/6 = 15 with a remainder of 5

So 5 shirts will be left over.

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

The system's solution is (xy, y) = and the k-value is 0. (4, -3).

Something that someone values are referred to as values. The things that only a person or a company considers "important" are, in other words, their values. Examples include valor, integrity, freedom, and inventiveness.

Value includes both the material and emotional cost of that possession. Only the item's monetary price may be considered its worth. An object's value often remains constant, although it might change based on the person and how much the thing means to them personally.

If [tex]x = 4[/tex], then we can substitute [tex]4[/tex] for [tex]x[/tex] in the second equation to get:

[tex]4 + y = 1[/tex]

Subtracting [tex]4[/tex] from both sides, we get:

[tex]y = -3[/tex]

Now we substitute [tex]x = 4[/tex] and [tex]y = -3[/tex]  into the first equation to solve for [tex]k[/tex]:

[tex]6x + 8y = k[/tex]

[tex]6(4) + 8(-3) = k[/tex]

[tex]24 - 24 = k[/tex]

[tex]k = 0[/tex]

Therefore, the value of [tex]k[/tex] is [tex]0[/tex], and the solution to the system is [tex](x, y) = (4, -3)[/tex]

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Answer:

B y=1/4x-2

Step-by-step explanation:

in y = mx + b

the b is the y intercept. this is where the line cuts through the y axis. you can see that it is going through the y axis at -2.

now look for your slope. I use rose over run. you can see that the line intersects at (4,-1)

"rise" is how far up or down to your next point."run" is how far left your right your next point is. in this case, the next point is 1 up and 4 to the right of a point. this translates to 1/4. this is a positive slope because your line goes upwards from left to right.

Related diagram is attached below :

Answer:

No

Step-by-step explanation:

The height, h of the tent attached below can be obtained using Pythagoras rule, as the shape forms a right angle triangle.

Length of base , = 24 / 2 = 12 feets

Hypotenus = 15 feets

The height, h = √(hypotenus² - Base²)

h = √15² - 12²

h = √225 -144

h = √81

h = 9 feet

Tent shouldn't be rented as it is below 10 feets

Answer:

your answer is 40 percent

Step-by-step explanation:

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