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kumpel [21]
3 years 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]3 years 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]3 years ago
8 0

Answer:

70.8

Step-by-step explanation:

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A fudge company makes 4 pounds of fudge. A worker separates the fudge into packages of ¼ of a pound of fudge each. How many pack
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Answer:

1/6

Step-by-step explanation:

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3 years ago
What is the axis of symmetry of the function f(x)= -(x+9)(x-21)
Vinil7 [7]

Answer:

The axis of symmetry is x = 6

Step-by-step explanation:

To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.

x + 9 = 0

x = -9

x - 21 = 0

x = 21

Now take the average of these two numbers.

(-9 + 21)/2

12/2

6

6 0
3 years ago
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con
tankabanditka [31]

Answer:

  • 273 mL of 5%
  • 117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

7 0
3 years ago
a keycode must contain 2 letters and 3 numbers. the letters may be any letter of the alphabet. the numbers should be any number
Rufina [12.5K]
THERE ARE AT LEAST TWO KEY CODES

4 0
3 years ago
Aubrey is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks avail
iren [92.7K]

Answer:

$51

Step-by-step explanation:

do 13*3 because of the 2 kids and the adult then add 12 because of the snacks

hope this helps

7 0
2 years ago
Read 2 more answers
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