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3 years ago

Two angles have the same measure. What are their measures if they are complementary angles? Supplementary angles?

Mathematics

2 answers:

Anni [7]3 years ago

5 0

Complementary is 90 degrees and supplementary 180 degrees

Rudik [331]3 years ago

5 0

I don't knowwww go to google

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What is the range of the function shown in the graph?

natali 33 [55]

Answer:

Step-by-step explanation:

-∞<y<5

3 0

3 years ago

A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the

zhenek [66]

Answer:

Used wire in circle x = 2.64 m

Used in square L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x and 6 - x

We are going to use the piece x to get the circle then

So Perimetr of a circle is 2π*r (r is the radius of the circle) then:

x = 2*π*r ⇒ r = x/2*π

And area would be A(c) = π* (x/2*π)² ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4 is the side of the square

And the area is A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t) = A(c) + A(s)

A(x) = x²/4π + [ ( 6 - x ) / 4 ]²

A(x) = x²/4π + (36 + x² - 12x) /16

A(x) = 1 / 16π [ 4x² + 36π + πx² - 12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0 ⇒ 1/ 16π [8x +2πx - 12π] = 0

[8x +2πx - 12π] = 0

8x + 6.28x - 37.68 = 0

14.28x - 37.68 = 0 ⇒ x = 37.68 /14.28

x = 2.64 m length of wire used in the circle

Then the length L for the side of the square is

(6 - x )/4 ⇒ ( 6 - 2.64 )/ 4 ⇒ 3.36 / 4

L = 0.84 m total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0

3 years ago

Who started the problem correctly? The problem form is (-5) - (-1 3/4).

Veronika [31]

Answer:

Shane started the problem correctly

Step-by-step explanation:

We are given problem (-5) - (-1 3/4).

Mariah started the problem as (-5) + 1 - 3/4

Shane started the problem as (-5) + 1 + 3/4

We need to find who started the problem correctly.

The problem should be started by converting the mixed fraction into improper fraction i,e

$-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})$

Now we will solve bracket by multiplying -1 with term inside the bracket i.e

$=-5+\frac{7}{4}$

$= \frac{-13}{4}$

Let's compare both the procedures now:

Mariah:

$(-5) + 1 - \frac{3}{4}$

$=(-5) - \frac{1}{4}$

$=\frac{-21}{4}$

Therefore, Mariah did not start the problem correctly.

Shane:

$(-5) + 1 + \frac{3}{4}$

$= -5 + \frac{7}{4}$

$= \frac{-13}{4}$

Therefore, Shane started the problem correctly.

6 0

3 years ago

Its add math. i really need help, solve the question. thanks♥️

dexar [7]

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = ax + b

x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )

Substitute these values into f(x) = ax + b, that is

2a + b = 1 → (1)

- a + b = - 5 → (2)

Subtract (2) from (1) term by term to eliminate b

3a = 6 ( divide both sides by 3 )

a = 2

Substitute a = 2 into (2) and evaluate for b

- 2 + b = - 5 ( add 2 to both sides )

b = - 3

(b)

When x maps onto itself then

ax + b = x, that is

2x - 3 = x ( subtract x from both sides )

x - 3 = 0 ( add 3 to both sides )

x = 3

Thus a = 2, b = - 3 and x = 3

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3 years ago

Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no

Triss [41]

2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution

8 0

3 years ago