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Alenkinab [10]
2 years ago
10

Lexi is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide and the field is that see strong is 30

cm wide how long should the field be in drawing
Mathematics
1 answer:
vekshin12 years ago
5 0

Answer:

45 cm

Step-by-step explanation:

l = Length of football field is 120 yards

w = Width of football field is 80 yards

The ratio of the sides is \dfrac{l}{w}=\dfrac{120}{80}=\dfrac{3}{2}

Now the width of the field is 30 cm = w'

\dfrac{l'}{w'}=\dfrac{l}{w}\\\Rightarrow l'=\dfrac{l}{w}\times w'\\\Rightarrow l'=\dfrac{3}{2}\times 30\\\Rightarrow l'=45\ \text{cm}

The length of the field in the drawing is 45 cm.

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AysviL [449]

Answer:

43.4

Step-by-step explanation:

You will need to use the phythagoream therom, which is a² + b² = c².  Plug the values in for the variables to get 7² + b² = 44², (c would equal the hypothenuse because the hypothenuse is the longest side of the triangle.)  Square the values to get 49 + b² = 1936.  Subtract 49 from both sides to get b² = 1887, then take the square root of both sides to get b = 43.4 (rounded to the nearest tenth.)  

I am really sorry if I'm wrong, but have a good day/night!  :)

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3 years ago
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Step-by-step explanation:

8 0
2 years ago
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Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
mr Goodwill [35]

Answer:

D

Step-by-step explanation:

The factor theorem states if (x - h) is a factor of a polynomial p(x) then

p(h) = 0

However, p(h) ≠ 0 then the value obtained is the remainder.

Thus

p(3) = - 2

When p(x) is divided by (x - 3) then the remainder is - 2

8 0
3 years ago
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Lera25 [3.4K]

Answer:

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Step-by-step explanation:

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This means that 8 is the factor by which the diagram and the actual ramp vary

so then you multiply 8 times the height on the diagram to find the true height

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6 0
2 years ago
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