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katen-ka-za [31]
3 years ago
5

Lines that appear tangent are tangent. What is the value of x?

Mathematics
1 answer:
mash [69]3 years ago
4 0

Answer:

x = 68°

Step-by-step explanation:

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Suppose y varies directly with x. Write a direct variation equation that relates x and y. y=7 1/2 when x=3
kolbaska11 [484]

Answer:

y/x = 2.5

Step-by-step explanation:

y ∝ x

change ∝ to = by adding constant k or c

y = kx

Divide both sides by x

y/x = k, also k = y/x

Input the values

k = (7 1/2)/3.  Change 7 1/2 to improper fraction to give 15/2

k = (15/2)/3

k = \frac{15}{2} ÷ 3  

Change the division sign to multiplication which will change 3 to its inverse(1/3)

k = \frac{15}{2} × \frac{1}{3}

k = \frac{15}{6}

Divide the numerator and denominator by 3 to get 5/2

k = 5/2

From y/x = k,input k into the eqn

y/x = 5/2

y/x = 2.5

8 0
3 years ago
What’s the correct answer for this ?<br> The traffic light is approximately _____ feet tall
wlad13 [49]

Answer:

Height = 21.78 ft

Step-by-step explanation:

Tan θ = opposite / Adjacent

tan 40 = opposite / 20

where opposite is the part of the traffic light

0.839 × 20 = opposite

opposite = 16.78 ft

Now the total height of traffic light = 16.78 ft +5 ft

Total Height = 21.78 ft

8 0
3 years ago
1) At a diner, the cost for a specialty waffle and a hashbrown is $9.50. The cost for 2 specialty
klemol [59]

9514 1404 393

Answer:

  • waffle $8
  • hashbrowns $1.50

Step-by-step explanation:

Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...

  w + h = 9.50

  2w + 3h = 20.50

Subtracting twice the first equation from the second gives ...

  (2w +3h) -2(w +h) = (20.50) -2(9.50)

  h = 1.50 . . . . . . simplify

  w = 9.50 -h = 8.00 . . . . . find w using the first equation

The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.

4 0
3 years ago
Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor
worty [1.4K]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

3 0
3 years ago
Find the area please help
crimeas [40]
8x^2*3xy

24x^3y I believe. Sorry if I’m a little rusty
6 0
2 years ago
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