A 15 ft long cable is connected from a hook to the top of a pole that has an unknown height. The distance from the hook to the base of the pole is 3 ft shorter than the height of the pole.



a. What can you use to find the height of the pole?
b. Write and solve a quadratic equation to find the height of the pole.
c. How far is the hook from the base of the pole?

Answer:

x=15

Step-by-step explanation:

Answer:

The tree is 28 feet in height.

Step-by-step explanation:

This is a proportion problem. You need to keep the height of the objects on one side of the ratios and the length of the shadows on the other.

74 / x = 102/39           Cross Multiply

102x = 74*39              The inches as a unit cancel out.

102x = 2886               Divide by 102

x = 2886/102

x = 28.29 feet

Answer:

B

Step-by-step explanation:

the other answers don't make sense

Answer:

c > 1

Step-by-step explanation:

Given equation: [tex]x^2-2x+c=0[/tex]

General form of quadratic equation: [tex]ax^2+bx+c=0[/tex]

We can use the discriminant to determine the value of c for which the equation has no real roots.

[tex]b^2-4ac < 0\implies \textsf{no real roots}[/tex]

From the given equation:

Inputting these values into the discriminant formula:

[tex]\implies (-2)^2-4(1)(c) < 0[/tex]

[tex]\implies 4-4c < 0[/tex]

[tex]\implies 4 < 4c[/tex]

[tex]\implies 1 < c[/tex]

[tex]\implies c > 1[/tex]

Here

Discriminant must be less than 0

[tex]\\ \rm\Rrightarrow b^2-4ac<0[/tex]

[tex]\\ \rm\Rrightarrow (-2)^2-4(1)(c<0[/tex]

[tex]\\ \rm\Rrightarrow 4-4c<0[/tex]

[tex]\\ \rm\Rrightarrow 4(1-c)<0[/tex]

[tex]\\ \rm\Rrightarrow 1-c<0[/tex]

[tex]\\ \rm\Rrightarrow 1<c[/tex]

[tex]\\ \rm\Rrightarrow c>1[/tex]

Answer:

  8 units

Step-by-step explanation:

Points (2, 5) and (10, 5) have the same y-coordinate, so lie on the horizontal line y = 5. The distance between the points is the difference of their x-coordinates:

  10 -2 = 8

The points are 8 units apart.

__

If you plot the points on a graph, you can count the grid squares between them.

Answer:

Steak burgers = $4.50

Fries = $2.25

Step-by-step explanation:

Steak burgers = x; fries = y

-2 (3x + 2y = $18)

3  (2x + 3y = $15.75)

-6x - 4y = -36

6x + 9y = 47.25

5y = 11.25

÷5    ÷5

y = $2.25

3x + 2y = 18

3x + 2( 2.25 ) = 18

3x + 4.5 = 18

     -4.5   -4.5

3x = 13.5

÷3     ÷3

x = $4.50

I hope this helps!

Answer:

1.[tex]y=2x+4[/tex]
2.[tex]y=1x+3[/tex]

Step-by-step explanation:

Given the following questions:

Question one:

Point A = (-1, 2) = (x1, y2)
m = 2

To find the answer we will use the formula to find the slope intercept, substitute the values and then solve for b.

[tex]y=mx+b[/tex]
[tex]m=2[/tex]
[tex]x=-1[/tex]
[tex]y=2[/tex]
[tex]2=2(-1)+b[/tex]
[tex]2\times-1=-2[/tex]
[tex]2=-2+b[/tex]
[tex]-2+2=0[/tex]
[tex]2+2=4[/tex]
[tex]4=b[/tex]
[tex]b=4[/tex]
[tex]y=2x+4[/tex]

The slope intercept form of the line that passes through (-1, 2) and has a slope of 2 is "y = 2x + 4."

Question two:

Point A = (-1, 2) = (x1, y1)
Point B = (2, 5) = (x2, y2)

To find the slope intercept form we must first find the slope using the formula to calculate slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5-2}{2--1}=\frac{3}{3}[/tex]
[tex]3\div3=1[/tex]
[tex]m=1[/tex]

Now that we have the slope, we will use the formula for slope intercept, substitute the values, then solve for b.

[tex]y=mx+b[/tex]
[tex]m=1[/tex]
[tex]y=2[/tex]
[tex]x=-1[/tex]
[tex]2=1(-1)+b[/tex]
[tex]1\times-1=-1[/tex]
[tex]2=-1+b[/tex]
[tex]-1+1=0[/tex]
[tex]2+1=3[/tex]
[tex]3=b[/tex]
[tex]b=1[/tex]
[tex]y=1x+3[/tex]

The line that passes through the points (4, -2) and (2, 5) in slope intercept form is indeed "y = 1x + 3."

Hope this helps.

The bat will fit in the box if the length of the bat is less than the interior diagonal of the box

Julian's bat will not fit inside the box

From the complete question, the dimension of the box is:

32 in by 6 in by 8 in

Start by calculating the diagonal (d) of the base of the box using the following Pythagoras theorem

[tex]d^2 = 6^2 + 8^2[/tex]

Next, calculate the length of the interior diagonal of the box.

[tex]L = \sqrt{32^2 + d^2\\[/tex]

This gives

[tex]L = \sqrt{32^2 + 6^2 + 8^2}[/tex]

Evaluate

[tex]L = 33.53[/tex]

The length of the bat (34 inches) is greater than the interior diagonal of the box (33.53 inches)

Hence, the bat will not fit inside the box

Read more about interior diagonal at:

https://brainly.com/question/654982

Answer:

  34.6

Step-by-step explanation:

The perimeter of a plane geometric figure is the sum of its side lengths. This figure has two horizontal sides, so their length is easy to compute. It also has two diagonal sides, so the distance formula or Pythagorean theorem must be invoked to find their length.

The length of diagonal AC is ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1 -6)² +(-5 -4)²) = √((-5)² +(-9)²) = √106 ≈ 10.3

The length of each horizontal segment can be found by counting grid squares or by finding the difference of x-coordinates.

  AB = 6 -(-1) = 6 +1 = 7

__

Two sides have length 10.3 and two sides have length 7, so the perimeter is ...

  P = 2(10.3 +7) = 34.6 . . . units

Answer: BCE

Step-by-step explanation:

The angle has a vertex at N, so the correct options are B, C, and E.

Answer:

You want to know how many cookies can be made using 5 1/2 cups of flour.

1 x 2 2

-------------- = -----

2 x 11 22

2/22 simplified is 1/11

So, You can make 11 cookies with 5 1/2 cups of flour.

Step-by-step explanation:

hope this will help you

please put me in brainlest

Answer:

m = 35 , n = 110

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

consecutive angles are supplementary, that is sum to 180° , then

n + 70 = 180 ( subtract 70 from both sides )

n = 110

Solution:

We know that:

This means that:

Divide 2 both sides to find m:

We can see that two angles measuring 70° and n° are a linear pair.

Answer:

72.7 inches

Step-by-step explanation:

436.2 / 6 = 72.7

Answer:

Step-by-step explanation:

If a > 0 , then the parabola opens upward.

If a < 0, then the parabola opens downward.

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

so

x² + 4x + 2² - 2² - 8 = 0

do x² + 4x + 2²

multiplies to give 4 adds to give 4

2+ 2

(x + 2)²

(x + 2)² - 2² - 8

(x + 2)² - 4 - 8

(x + 2)² - 12

(x + 2 + √12) (x + 2 - √12)

√12 = √4 * √3 = 2 √3

(x + 2 + 2√3) (x + 2 - 2√3)

Answer:

It is 19 units long.

Step-by-step explanation:

hey need your help again. It’s my latest question. Should be the first one. The question is: PLs help. VERY urgent. I will mark BRAINLIEST and 100 points on the line. Just fill in the blanks and answer the questions.

Answer:

For this case we can model the problem as a rectangle triangle.

 We know:

 Length of the hypotenuse

 Angle between the base of the triangle and the hypotenuse.

 We want to know:

 Length of the base.

 For this we use the following trigonometric relationship:

 cos (15) = \frac{x}{500}cos(15)=500x

 Clearing x we have:

 x = 500 * cos (15) x = 482.96x=500∗cos(15)x=482.96

 Rounding to the nearest tenth of a meter:

 x = 483.0 mx=483.0m

 Answer:

 The horizontal distance she has covered is:

 x = 483.0 mx=483.0m

Answer:

23.40

Step-by-step explanation:

Find 60% of 39, it's 23.4

Answer:

The definition of a match is a person or thing that is similar, equal to or suitable for another or a game or contest. An example of match is a shirt and jeans that are the same color of black. An example of match is two people with a similar sense of humor. An example of match is two people playing cribbage.

Answer:

A. m2

b.km2

c.cm2

d.km2

e.m2

Step-by-step explanation:

mr cleans account was deleted ;-;

Answer:

it’s the first answer

Answer:

Step-by-step explanation:

What's the question ?

Answer:

[tex]C\: or\: 3+\frac{s-5}{s^2-s+2}[/tex]

Step-by-step explanation:

[tex]\frac{\left(3s^2-2s+1\right)}{\left(s^2-s+2\right)}[/tex]

[tex]\frac{\left(3s^2-2s+1\right)}{\left(s^2-s+2\right)}:[/tex] [tex]\frac{\left(3s^2-2s+1\right)}{\left(s^2-s+2\right)}=3+1\frac{s-5}{s^{2}-s+2 }[/tex]

[tex]=3+\frac{s-5}{s^2-s+2}[/tex]

Answer:

4.25

Step-by-step explanation:

17/4

= 4.25

I hope it helps! Have a great day!

Muffin ^^

Answer:

4.25

Step-by-step explanation:

The answer is 4.25 because you have to divide the feet by min and when you do that you get 4.25.

I hope it helps! Have a great day!

bren~

Answer:

1. P

2. NP

3. P

4. NP

5. P

I hope u will like it

Answer:

A.

B. I don't Know

Step-by-step explanation:

Answer:

B. less than 15% just took the quiz and got a 100

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

Hopefully this helps you,
So if A= 70 degrees, C will also 70 degrees.
The parallelogram will always equal 360 degrees, so 70(2) = 140.
Then 360 - 140 = 220.
Then divide 220 by 2, so 220/2 = 110.
Therefore angles B and D are 110 degrees.
So your answer,
C = 70 degrees
B and D = 110 degrees

Answer:

It is Associative property :))

Step-by-step explanation:

Answer:

[tex]\frac{44}{105} [/tex]

Step-by-step explanation:

[tex] \frac{4}{7} \times \frac{11}{15} = \frac{4 \times 11}{7 \times 15} = \frac{44}{105} [/tex]