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Vaselesa [24]
3 years ago
15

Complete the table for the given rule.

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

uh 52

Step-by-step explanation:

I say 52 cause like it sounds about reasonable

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If angle ABC measures 40 degrees what does angle ADC measure
hjlf

Answer:

options are provided below...i hope this helps!    :)

Step-by-step explanation:

well if the angles are vertical then ADC would be the same as ABC with 40 degrees

if the angles are corresponding, then they both are 40 degrees

if they are complementary angles, then they add up to 90 degrees

so the angle ADC would be 50 degrees

if they are supplementary angles, then they add up to 180 degrees. so ADC would be 140 degrees

3 0
3 years ago
If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y
Elis [28]

Answer:

  • log y = 0.576x + 0.139

Step-by-step explanation:

<u>Given data:</u>

  • <u>x  |  2   |   3   |  4    |   5      |  6     </u>
  • y  | 21   |  69 | 261  | 1029  |  4101​

<u>Logarithms of y-values:</u>

  • log 21 = 1.322
  • log 69 = 1.839
  • log 261 = 2.417
  • log 1029 = 3.012
  • log 4101 = 3.613

<u>The ordered pairs:</u>

  • (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)

<u>Using an online calculator found the equation of the regression line:</u>

  • y = 0.576x + 0.139

<u>In our case it is:</u>

  • log y = 0.576x + 0.139

7 0
3 years ago
A guy wire makes a 65° angle with the ground. walking out 37 feet further from the tower, the angle of elevation to the top of t
kicyunya [14]

Let's call the height of the tower h and the distance from the 65 degree angle to the base of the tower d.

We get two equations:

\tan 65^\circ = \dfrac h d

\tan 39^\circ = \dfrac{h}{d+37}

h = d \tan 65^\circ = (d+37) \tan 39^\circ

d(\tan 65 - \tan 39) = 37 \tan 39

d = \dfrac{37 \tan 39}{\tan 65 - \tan 39}

h = d \tan 65 = \dfrac{37 \tan 39 \tan 65}{\tan 65 - \tan 39}

h \approx 48.1 \textrm{ feet}

Answer: 48

3 0
4 years ago
A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect
AfilCa [17]

Let

x-------> the length side  of the original cube

we have

2x^{3} +8x=450\\2x^{3}=450-8x

Divide by 2 both sides

x^{3}=225-4x

The system of equations is equal to

y=x^{3} --------> equation 1

y=225-4x --------> equation 2

using a graphing tool

see the attached figure  

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

x=5.86\ in

therefore

<u>the answer is</u>

5.86\ inches


6 0
3 years ago
Read 2 more answers
A hyperbola centered at the origin has vertices at (± √33,0) and foci at (± √59,0).
oee [108]

Answer:

x^2/33 + y^2/26 = 1

Step-by-step explanation:

The formula for a hyperbola centered at the origin is:

x^2/a^2 - y^2/b^2 = 1

The vertices are located at (±a, 0), so we have that the value of a is √33

The foci are located at (±c, 0), where c^2 = a^2 + b^2

So if we have that c = √59, we can find the value of b:

59 = 33 + b^2

b^2 = 26

b = √26

So the formula for this hyperbole is:

x^2/33 + y^2/26 = 1

6 0
3 years ago
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