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kumpel [21]
1 year ago
11

In ΔSTU, the measure of ∠U=90°, TU = 6.6 feet, and US = 2.3 feet. Find the measure of ∠S to the nearest tenth of a degree.

Mathematics
2 answers:
zimovet [89]1 year ago
8 0

Answer:

  70.8°

Step-by-step explanation:

The sides and angles are related in a right triangle such that ...

  Tan = Opposite/Adjacent

  tan(S) = UT/US = 6.6/2.3

The inverse tangent function is used to find the angle from its value:

  ∠S = arctan(6.6/23)

  ∠S ≈ 70.8°

LiRa [457]1 year ago
8 0

Answer:

70.8

Step-by-step explanation:

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B

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

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The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents th
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Step-by-step explanation:

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now, lets use computer:

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7 0
2 years ago
Point Z is equidistant from the vertices of ΔTUV.
nadya68 [22]

Answer:

option C. Angle BTZ Is-congruent-to Angle BUZ

Step-by-step explanation:

Point Z is equidistant from the vertices of triangle T U V

So, ZT = ZU = ZV

When ZT = ZU  ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ

When ZT = ZV  ∴  ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT

When ZU = ZV  ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU

From the figure ∠BTZ is the same as ∠UTZ

And ∠BUZ is the same as ∠TUZ

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What is 13/56 + 5/7=
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7 0
2 years ago
Mr. Johnson currently has a square garden. It is in his garden and into a range of 5 feet shorter than three times shorter than
Vlad [161]

Answer:

The Dimension of new garden is 25 \ feet\ \times 10\ feet.

Step-by-step explanation:

Given:

Perimeter of new garden = 70 feet.

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Also Let the width of the new garden be 'w'.

We need to find the dimension of new garden.

Now Given:

Length is 5 feet shorter than three times it width.

framing the equation we get;

l =3w-5 \ \ \ \ equation\ 1

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framing in equation form we get;

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Now Diving both side by 2 using Division property of equality we get;

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Now Substituting equation 1 in above equation we get;

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Adding both side by 5 Using Addition Property of equality we get'

4w-5+5=35+5\\\\4w=40

Now Diving both side by 4 using Division property of equality we get;

\frac{4w}{4}=\frac{40}{4}\\\\w=10\ ft

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l =3w-5\\\\l =3\times10-5\\\\l = 30-5\\\\l= 25\ ft

Hence The Dimension of new garden is 25 \ feet\ \times 10\ feet.

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