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fomenos
3 years ago
8

What is the measure of each angle

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0
Your answer is X=22
Step-by-step
5X - 31= 79
5x= 79+31
X=110/5
So x=22 same as on
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show that the lines x2-4xy+y2=0 and x+y=3 form an equilateral triangle also find area of the triangle
arlik [135]

Given pair of lines are x² + 4xy + y² = 0

⇒ (y/x) ² + 4 y/x + 1 = 0

⇒ y/x = -4±2√3/2 = -2±√3,

∴  The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle

Clearly the pair of lines x² + 4xy +y²  = 0  intersect at origin,

The perpendicular distance form origin to x - y = 4 is the height of the

h = 2 √ 2

∵ Area of triangle = h²/√3 = 8/√3

4 0
2 years ago
What's the opposite of-2 2/3
Citrus2011 [14]
The oppiste of -2 2/3 is 2 2/3
6 0
3 years ago
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet a
Brrunno [24]

Answer:

Step-by-step explanation:

The student needs to check all algebraic and mathmatical calculations for errors and typos.  I'm old and have been prone to making mistakes.

Cylinder A DIAMETER 12 ft and Height 13 ft

Cylinder B DIAMETER 10 ft and Height 16 ft

After pumping How much water remains in cylinder A

Volume of a cylinder  =  π(radius)²h is the normal form since they provided the diameter I will use     Volume of a cylinder  =  π(diameter/2)²h

Water remaining in A = Volume of A  - Volume of B   =  

VolA  - VolB  =  π(D for A/2)²H of A  -   π(D for B/2)²H of B

             writing if a little more condensed

VolA  - VolB  =  π(D for A/2)²H of A  -   π(D for B/2)²H of B

    Va - Vb    =   π(Da/2)²Ha  -   π(Db/2)²Hb

                     =  π [(Da²/2²)Ha - (Db²/2²)Hb]      factored out the π

                     =  π/4 [ Da²Ha  - Db²Hb]              factored out the (1/2)²

             I can't think of any other algebraic steps

Va - Vb = Water Remaining in Container A  =  π/4 [ Da²Ha  - Db²Hb]            

            =  π/4 [ (12²)(13)  - (10²)(16)]

            =  π/4 [ (144)(13)  - (100)(16)]

            =  π/4 [ 1872 - 1600 ]

            =  π/4 [272]

            =  π [ 272/4 ]  

            =  π [ 136 / 2]

            =  π [ 68 ]

            =  π (68)

            =  213.6  ft³             rounded to the nearest tenth

I checking my answer by using  V = πr²h         r = d/2

           Va - Vb = π [ra²ha - rb²hb]

                         = π [6²(13)  - 5²(16)]

                         = π [(36)(13) - (25)(16)]

                         = π [ 468 - 400]

                         = 68 π

                         = 213.6 ft³         I got the same answer

       

            =  π

test

   

8 0
2 years ago
One_Third of 1/2 cake=___________________ //plz help guys
Andreyy89
The answer is 1/6 because 1 /2 × 1/3 =1/6
6 0
3 years ago
Read 2 more answers
A package of 5 pairs of gloves costs $ 75.5 what is the cost of a single pair of gloves
zhenek [66]

5 pairs of gloves, two gloves per pair, so we have 10 gloves.

If the entire pack cost $29.45, we divide that by 10 to determine the cost of a single glove:

$29.45 ÷ 10 = $2.945 which rounds to $2.95 per glove.

6 0
2 years ago
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