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shepuryov [24]
3 years ago
8

What is mŁA? 85° A 145°

Mathematics
2 answers:
katrin2010 [14]3 years ago
7 0
50 degrees is the answer
Kobotan [32]3 years ago
4 0

Answer:

Ans: 50 degrees.

Step-by-step explanation:

We know, a straight angle is 180 degrees. Also, the sum of the three angles of any triangle is equal to 180 degrees.

So,

(180-85) = 95,

(180-145) = 35,

A = (180-95-35) = 50.

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

6 0
3 years ago
Help please. Find the missing length indicated. Leave your answer in simplest radical form.
kkurt [141]

Answer:

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Step-by-step explanation:

6 0
3 years ago
what key feature(s) can be easily identified from standard form? Explain how each key feature is related to the rollercoaster. U
raketka [301]

Answer:

Step-by-step explanation:

Key features

when t = 0

the initial height is 143/3  = 47⅔ ft

initial velocity is -310/3 = -103⅓ ft/s (downward)

initial acceleration is 2(64) = 128 ft/s² (upward)

I would not like to ride this roller coaster!

that's about four times the acceleration of gravity, and it only increases as the car gets to the bottom of the curve at t = 1 s

For part 3

I'm not sure what they mean by "not realistic"

while the initial acceleration is high. the acceleration at t = 1 is zero except that in 'reality' the car would have to be going through a curve to change direction from down to up. That would create very high centripetal acceleration and therefore centripetal forces.

5 0
2 years ago
Is the expression -a always negative if you replace a with any real number
tensa zangetsu [6.8K]
Yes, unless you are solving an equation with two negatives.
8 0
3 years ago
Read 2 more answers
The general form of a circle is given as x^2+y^2+4x-10y-7=0.
mylen [45]

Answer:

  • center: (-2, 5)
  • radius: 6

Step-by-step explanation:

We can complete the squares of the x- and y-terms by adding the square of half the linear term coefficient.

  (x^2 +4x) +(y^2 -10y) = 7

  (x^2 +4x +4) +(y^2 -10x +25) = 7 + 4 + 25

  (x +2)^2 +(y -5)^2 = 6^2

Compare to ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . standard form equation of a circle

We see that the center is ...

  (h, k) = (-2, 5)

and the radius is ...

  r = 6

8 0
4 years ago
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