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Katarina [22]
3 years ago
9

Help pleaseeeeeeeeee​

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Answer: Area of Δ DUO = 12.0 square units.

Step-by-step explanation:

From the diagram, Δ DPA is a right angled triangle and right angled at P.

Therefore ∠D will be

Tan ∅° = PA/DP ie, opposite side all over the adjacent.

            = 4.5/3.75

Tan∅°   = 1.2

to calculate ∅°, we know find the inverse of Tan 1.2

∅ = Tan^-1 1 .2 from your log tables or calculator

         ∅° = 50.20°.

               = 50°

Since line DR is ⊥ to line OP

∠ADR = 90° - 50°

            = 40°.

From the diagram,

     ∠ADR = ∠UDR = 40°

Therefore,

    ∠ODU = 180 - ( 40 + 40 + 90 )  { Angle on a straight line }

                 = 180 - 170

                 = 10°

From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.

Now find the height MU

            Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.

             MU = Tan10.0 x 10.0

                    =  0.1763 x 10.0

                    =  1.763

Therefore to calculate the area of Δ DUO

                    =   1/2 x base x height

                    = 1/2 x line OD x line MU

                    = 1/2 x 14.0 x 1.763

                    = 7 x 1.763

                    = 12.341

                    = 12.0 square units.

         

           =  

                   

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Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
notka56 [123]

Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

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4 0
3 years ago
Please help as soon as possible
scZoUnD [109]

Answer:

26.28

Step-by-step explanation:

First, add the side lengths of what you know. 6 + 6 + 8 = 20.

Then, find the circumference of the circle, BUT make sure you divide it by 2 because it is a semicircle in the figure.

The formula is 2\pir, so plug in the radius = 2

So the circumference is 4\pi, then divide by 2 to get 2

20 + 2\pi = 26.28

6 0
3 years ago
Read 2 more answers
Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by multiplying the one before it by 4. Find th
Anika [276]
A₁ = 1 = 4⁰

a₂ = 4 =4¹

a₃ =4 x 4=4²

a₄ =4 x 4² =4³
...................
...................

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5 0
3 years ago
Read 2 more answers
Please help me with this questions and please shoe your work. Thank you very much
Katena32 [7]
D
E
F


Work
So the answer to the original problem:
6-4.5 +(-8) equals -1.5
D,E,and F all yeild this answer.

Another way to do it is to simply rearrange the equation 

D:
6-4.5 +(-8)
6-4.5-8
your just removing the parenthesis and swapping the sign

E:
6+(-4.5) -8
is the exact same as
6-4.5 +(-8)
you're just moving the parenthesis

F:
This one you're just adding a parenthesis and flipping the of
6-4.5 +(-8)
which turns it into
6+(-4.5)+(-8)

Hope this helps!

6 0
3 years ago
PLEASE SOMEBODY HELP!!!!!!!!!!
elena-s [515]

Answer:

The answer should be letter A.

Step-by-step explanation:


8 0
3 years ago
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