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ICE Princess25 [194]
3 years ago
15

What angles are angles with measures that add to equal 180

Mathematics
2 answers:
aniked [119]3 years ago
6 0

Supplementary angles

Ket [755]3 years ago
4 0

Answer:

90+90

135+45

105+75

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A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454
Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

The area of a square is the square of the side, so the side of a square is the square root of the area.

side = sqrt(9 ft)^2 = 3 ft

The volume of a cube is the cube of the side.

volume = (3 ft)^3

volume = 27 ft^3

4 0
3 years ago
Complete the pattern. Blank 8,570 , blank, 85.7, 8.57, blank
tekilochka [14]
85700
8570
85.7
8.57
0.857

Each time, you divide by 10 (move the decimal place 1 place value to the left).
7 0
3 years ago
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What is the equation for 87÷75.69
vova2212 [387]

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
Could you please help me for this question?
Olin [163]

Answer:

  See attached for graphs

  g(x) -- domain: -∞ < x < ∞; range: 0 < y < ∞

  g^-1(x) -- domain: 0 < x < ∞; range: -∞ < y < ∞

Step-by-step explanation:

g(x) is an exponential decay function. Its base is 1/3, so each increase of 1 unit in x will multiply the y-value by a factor of 1/3. The graph will rapidly approach its horizontal asymptote of y=0 as x gets large. The y-intercept is (0, 1). Just as y gets smaller as x increases, so it gets larger as x decreases. Each decrease of x by 1 unit causes the y-value to be multiplied by 3.

__

The graph of g^-1(x) is the graph of g(x) reflected across the line y=x. That is, each coordinate pair (x, y) on the graph of g(x) becomes a point (y, x) on the graph of the inverse function. In order to graph g^-1(x), you don't need to write down the function, you only need to know the relationship between the graphs.

Just as x- and y- are interchanged on the graph, so the domain, range, and intercepts are interchanged. g^-1(x) will have a vertical asymptote of x=0, and an x-intercept of (1, 0). The domain of g^-1(x) is the range of g(x): 0 < x < ∞; and the range of g^-1(x) is the domain of g(x): -∞ < y < ∞.

__

The attached graph shows g(x) in red and g^-1(x) in blue. As you can see, we created the graph simply by interchanging x and y. The line y=x is shown for reference, so you can see that each curve is a reflection of the other across that line.

_____

<em>Additional comment</em>

The explicit expression for g^-1(x) can be found by solving for y:

  x = g(y)

  x=\left(\dfrac{1}{3}\right)^y=\dfrac{1}{3^y}=3^{-y}\\\\ \log(x)=-y\cdot\log(3)\qquad\text{take logarithms}\\\\y=-\dfrac{\log{x}}{\log{3}}=-\log_3{x}\qquad\text{use the change of base relation}\\\\\boxed{g^{-1}(x)=-\log_3{x}}

If you're familiar with the log function, you know it has an x-intercept of 1 and a vertical asymptote at x=0. The base of the log function is simply a vertical scale factor. The minus sign reflects it across the x-axis.

6 0
2 years ago
There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I
Nina [5.8K]

Answer:

There are 28 dolls, 32 balls,  20 cars   for 80 total toys

Step-by-step explanation:

dolls : balls: cars: total

7           8          5    (7+8+5)

7           8           5        20

We have a total of  80  

80/20 = 4

We need to multiply each number by 4

dolls : balls: cars: total

7*4     8*4     5*4      20*4

28       32      20       80


There are 28 dolls, 32 balls,  20 cars   for 80 total toys

4 0
3 years ago
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