A cable that is 45 feet long is attached to the top of a vertical pole. The cable is anchored to the ground 36 feet from the base of the pole . How tall is the pole? Round your answer to the nearest hundredth .

Answer: 15 units

Step-by-step explanation:

Given

The endpoints of the line segment are [tex](-7,10)\ \text{and}\ (-6,-5)[/tex]

The length of the line segment is given by the distance formula i.e.  

[tex]d=\sqrt{\left( x_2-x_1\right)^2+\left( y_2-y_1\right)^2}[/tex]

Insert the values,

[tex]\Rightarrow d=\sqrt{\left( -6+7\right)^2+\left( -5-10\right)^2}\\\Rightarrow d=\sqrt{1^2+\left( -15\right)^2}\\\Rightarrow d=\sqrt{1+225}\\\Rightarrow d=15.0\ \text{units}[/tex]

Therefore, the length of line segment TU is 15 units

Answer:

Empty Set: The empty set (or null set) is a set that has no members. Notation: The symbol ∅ is used to represent the empty set, { }.

Step-by-step explanation:

plss do me brainlest

Answer:

y^2

Step-by-step explanation:

you just subtract 3 from 5

answer:

∠B = 70°

step-by-step explanation:

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

4(8) + 38

32 + 38

= 70

Answer:

by using substuton method

2x=22-y

x=22-y/2                     equation (i)

so substuting the value x in x-y=5

22-y/2-y=5

22-y-2y/2=5

22-3y=10

22-10/3=y

12/3=y

4=y

now substitute the value of y in equation (i)

x=22-y/2

=22-4/2

=18/2

=9

therefore ,the value of x is 9 and y is 4

Step-by-step explanation:

Answer:

(18x845h)(6)n

=1085hnx84

Answer:

87.2º

Step-by-step explanation:

Complimentary angles total 90º

c + 2.8 = 90

c = 90 - 2.8

c = 87.2º

Answer:

Step-by-step explanation:

When angles are complementary, it means that they both add up to 90°.

In this case, one of the angles measures 2.8°.

So, to find the other one, we subtract 2.8 from 90.

90 - 2.8 = 87.2

The measure of the complementary angle is 87.2°

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

Step-by-step explanation:

So visually youre given the function

for h(-4) it can also be written as h(-4) = y

what do you get for y when you substitute - 4 for x?

All you have to do is trace the line until you get to x=-4 and then find the y that corresponds to it (looks like around y= - 1)

for the other one h(x) = - 5

what do you get for x when you substitute - 5 for y?

what you do is similar, trace the line along the y-axis and see what x-value you get for y =-5

Answer:

3 and x = 0

Step-by-step explanation:

To find the value of h(- 4)

Locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 3 )

Then the value of h(- 4) = 3

For h(x) = - 5

Locate y = - 5 on the y- axis. This is the point (0, - 5)

then the value of x for which h(x) = - 5 is x = 0

Answer: convert 70/100 to a decimal

70 divided by 100 is gonna give us 0.7

The Answer is gonna be 0.7

This is the right Answer :3

I hope you are having a great day :3

Explanation :

70/100

=7/10

=0.7

Answer:

0.7

Step-by-step explanation:

Given:

70/100

7/10

0.7

Answer:

d should be correct

Step-by-step explanation:

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Angle D:

value of angle across is equal to angle D = 122

Angle E:

value of angle across is equal to angle E = 30

Angle F:

180 - 122-30

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Answer:

you are absolutely correct .........

Answer:

-7

Step-by-step explanation:

Given data

Tina's problem is

-16 - (-9)

Firstly let her open up the bracket

Note - * -= +

-16+9

Secondly, Rearrange

9-16= -7

Hence the answer is -7

Answer:

÷3

Step-by-step explanation:

&$#*×&×$;$:$&;%%:#,¿×€$:%

Answer:

A

Step-by-step explanation:

when doing algebra like this, you need to isolate the variable using its reverse operation. For + its -.  For - its +. For * its /. For / its *.

Answer:

20

Step-by-step explanation:

To find the perimeter of a shape, you have to add all the sides together. Since this is a square, this means that all the sides are the same. If one side is 5, that means that all the other sides are 5 as well. So you will have to do 5+5+5+5 or 5 x 4.

Answer:

the awnser would be a I'm pretty sure

Step-by-step explanation:

make the other side the same ones so like take the bottom 8 and duplicate it to the top. do the same thing with the 6 but put it on the left side. and then combine 12 + 18 and there you go.

Answer:

C

Step-by-step explanation:

Answer:

6 times 10^3

Step-by-step explanation:

You multiply 3 and 2 together and 10^7 and 10^-4 together. 3x2 is equal to 6 and 10^7 times 10^-4 is the same as 10^7-4 which is equal to 10^3. Therefore, the answer is 6 times 10^3.

If this has helped please mark as brainliest

Answer:

the awnser i c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The meaning of the slope of the line of best fit for the graph of the data is that for each month the balance in the Saving account is increasing at a constant rate.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The meaning of the slope of the line of best fit for the graph of the data is that for each month the balance in the Saving account is increasing at a constant rate.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2

Answer:

22

Step-by-step explanation:

21.962962963

Estimated: 22

Hope it helps plz give brainliest! :D

Answer: -9

Step-by-step explanation:

Given

The sum of a number and two is equal to negative 7

Suppose x is that number

[tex]\therefore x+2=-7\\\text{add -2 both sides}\\\Rightarrow x+2-2=-7-2\\\Rightarrow x=-9[/tex]

So, the number is [tex]-9[/tex].

Answer:

17.6 laps

Step-by-step explanation:

Total distance to be covered = 2 miles

distance coved in each lap = 400 yards

We know that 1 mile = 1760 yards

therefore, 4 miles will make = 4×1760

= 7040 yards.

Number of laps to be taken

= Total distance to be covered ÷ distance coved in each lap

= 7040/400 = 17.6 laps

Therefore, it would take 17.6 laps to cover a distance of 4 miles if lap were 400 yards.