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Anon25 [30]
2 years ago
9

A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the

flagpole from the end of the piece of string? Round your answer to the nearest tenth ( decimal places). (Hint: Draw a picture on your own paper to visualize the problem)
Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

9514 1404 393

Answer:

  34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

  a = √(c² -b²)

  base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

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St 2
Lubov Fominskaja [6]

Answer:

$5.5

Step-by-step explanation:

6 * N (notebook) + 3 * P (pen) = 27

n = 1.5 +P

6 * (1.5 + P) + 3 * P = 27

9 +6p +3p = 27

9p = 18

p (pen): $2

N (notebook): $3.5

combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5

3 0
3 years ago
Describe at least two similarities between constructing a perpendicular line through a point on a line and constructing a perpen
Sophie [7]

Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;

  • 1. Arcs are drawn to cross the given line twice on either side relative to the point
  • 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line

Description:

1. One of the first steps is to place the compass on the point and from

point, draw arcs to intersect or cross the given line at two points.

2. The compass is placed at each of the intersection point in step 1 and

(opened a little wider when constructing from a point on the line) arcs are

drawn on one (the other side of the point off the line) side of the line with

the same opening (radius) of the compass to intersect each other.

3. From the point of intersection of the arcs in step 2, a line is drawn with a

straight edge passing through the given point.

Learn more about perpendicular lines here:

brainly.com/question/11505244

8 0
2 years ago
End of year assessment
tensa zangetsu [6.8K]

Answer:

Don't fail

Step-by-step explanation:

4 0
3 years ago
Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
Snowcat [4.5K]
Let f be the height of the fir trees
Let p be the height of the pine trees

We know from the problem that
f + p = 21  and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation

so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree

substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree
8 0
3 years ago
Quadrilateral missing angles
alukav5142 [94]

Answer:

idk

Step-by-step explanation:

sorry i needed the points sorry

3 0
3 years ago
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