The length of the rope needed is 15 feet
Given the following parameters;
Height of the pole = 9 footThe distance from the rope away from the base of the pole is 12 feetRequired
Length of the rope.To get the length of the rope, you will use the pythagoras theorem expressed as:
c² = a² + b²Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
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what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12
Answer:
4(x+2) = 4x + 8
Step-by-step explanation:
because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal
Round 0.1 to the nearest whole number.
M is the midpoint of the segment. Find the length of CG
What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
NO LINKS!!!!! Plz
Round 0.864595 to the ten-thousandths place.
Answer:
0.8646
Step-by-step explanation:
The digit in the hundred-thousandths place is 9, so is greater than 4. That means the digit in the ten-thousandths place is increased by 1 when the number is rounded.
0.864595 rounds to 0.8646
Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1
Answer:
-3
Step-by-step explanation:
x
+
3
=
O
A
=
−
x
+
13
=
X
=
−
3
=
=
−
3
1
=
=
−
3
1
=
=
−
3
please help i dont understand
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission
Answer:
16$
Step-by-step explanation:
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
Answer:
$270 in all
Just multiply 9x20 and 9x10 and add them together
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?
Answer:
Step-by-step explanation:
Wind, friction and terrain (flat versus hilly) all oppose motion of the bike. Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).
Hi guys, I need some help with this. Look at the screenshot below.
Answer:
20%
Step-by-step explanation:
54-45 = 9
9/45 = 0.2
0.2*100 = 20
Production increased 20%
I need help plzzzzz!!!!!!!!
Answer:
100.73
Step-by-step explanation:
Area of Rectangle=140
Area of Semi-Circle=39.27
Area of Rectangle-Area of Semi-Cirlce=100.73
352 is 32% of what number?
Answer:
1100
Step-by-step explanation:
Which speed is the fastest? 4 miles in 1/3 hour 1/3 mile in 4 hours 1/2 mile in 3 hours
Answer: 4 miles in 1/3 hour
Step-by-step explanation:
which statement is true?
Answer:
The slope of function A is less than the slope of function B
Explanation:
The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.
Answer:
the slope on Function A is less than Function B
Step-by-step explanation:
By doing rise over run we can get 1/2 on Function B and the Y intercept is 5 so the equation is y=1/2x+5
What is the area of 2.4
can you please help me find X in this problem it is so confusing
Answer:
x = 25°
Step-by-step explanation:
There are different ways to get there.
1.The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.
That makes the angles along the line at the bottom be ...
50° +x° +105° = 180° . . . . . the measure of a linear angle
x° = 180° -155° = 25°
__
2.The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...
180° -105° = 75°
This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.
75° = 50° +x°
25° = x° . . . . . . . subtract 50°
__
3.The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...
x° +50° +105° = 180°
x = 180° -155° = 25° . . . . as we had with our first approach
-10 , -6 , -2 , 2 , _____ this sequence in an A.P.? why?
Please find the equation for this ASAP
Answer:
y=-2x-3
Step-by-step explanation:
the slope is 2/1 going down and the y intercept is -3
How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points.
The question is an illustration of system of equations
There are 14 problems worth 5 points and 15 problems worth 2 points
The system of equations is given as:
[tex]x + y = 29[/tex]
[tex]5x + 2y = 100[/tex]
Make x the subject in [tex]x + y = 29[/tex]
[tex]x = 29 - y[/tex]
Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]
[tex]5(29 - y) + 2y = 100[/tex]
Open brackets
[tex]145 - 5y + 2y = 100[/tex]
Evaluate like terms
[tex]145 - 3y = 100[/tex]
Collect like terms
[tex]- 3y = 100-145[/tex]
Evaluate like terms
[tex]- 3y = -45[/tex]
Divide both sides by -3
[tex]y = 15[/tex]
Substitute 15 for y in [tex]x = 29 - y[/tex]
[tex]x = 29 - 15[/tex]
[tex]x = 14[/tex]
This means that there are 14 problems worth 5 points and 15 problems worth 2 points
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PLEASE HELP!! :( I will mark brainliest!
Answer:
14 give me that badge :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
14 faces
Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =
Answer:
y = -5x - 4
Step-by-step explanation:
yeah-ya............ right?
24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)
Answer:
C
A. X-intercept (6,0) and y-intercept (0,-8) wrong
B. x-intercept (-8,0) and y-intercept (0,6)wrong
C. x-intercept (4,0) and y-intercept (0,-3) correct
D. x-intercept (-3,0) and y-intercept (0,4) wrong
Please help me with my math problem!! NO LINKS PLEASE!! IT IS DUE TONIGHT AT 11:59PM!! WILL GIVE BRAINLIEST!! :)
Step-by-step explanation:
Hi, i think this is how to do it. I'm sorry if I do it wrong!
Match the name of the individual to a description of his
accomplishment.
___________oil production
___________steel
manufacturing
___________mechanized
production of clothing
___________expanded
industrialization to
continental Europe
A. William
Cockerill
B. Andrew
Carnegie
C. John D.
Rockefeller
D. Francis Cabot
Lowell
Answer:
Answer:
oil production: John d Rockefeller
steel manufacturing: Andrew Carnegie
Clothing: william cockerill
industrializatuon expansion: Frances Cabot Lowell
Step-by-step explanation:
10. Find the range of possible values for the variable.
The range of possible values for the variable is x < 12
From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.
30 > 3x - 6
Swap sides
3x - 6 < 30
Add 6 to both sides
3x - 6 + 6 < 30 + 6
3x < 36
Divide both sides by 3
3x/3 < 36/3
x < 12
Hence the range of possible values for the variable is x < 12
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y=−x−4
y=3/5x+4
How do i get the solution?
Answer:
by getting the solution
Step-by-step explanation:
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.
The steps to construct a parallelogram using a ruler and a compass are;
1. Draw a starting line segment l linger than 8 cm.
2. Mark point K on the line segment.
3. Widen the compass to a radius of 8 cm using the ruler.
4. Place the compass at point K and with the 8 cm radius mark point L on the line l.
5. At point L construct a 45° angle as follows;
Draw arcs that intersect line l on both sides of point L.From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line l.From the intersection point in the previous step, draw a line to point L to get a perpendicular line to line l.Draw arcs to intersect the perpendicular line and line l on the other side of point L from K.From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point X to the right of the perpendicular line.The above steps bisects the 90° angle of the perpendicular lines.
Join point X to point L with a straight line to form ∠XLM = 135° (90° + 45° = 135°)6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.
7. At point M construct a line YM at 45° angle to the line l.
8. From point M draw an arc to intersect YM and label the point as point N.
9. Join point M and N to complete the construction of the parallelogram KLMN.
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