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Llana [10]
3 years ago
12

Find the length of X (IN THE PICUTRE GIVING BRAINLEST TO BEST answer)​

Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

Since they are similar triangles, we can use ratios to solve

x           3.5

----- = -------

6           7

Using cross products

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3

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3x+2y=-4<br> y= 4x-2<br> use substitution
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(X,Y) = (0,-2)
Substitute the given value of y and x into the equation and simplify
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3 years ago
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This question is worth 50 points, make sure to provide ALL calculations without using a calculator, though.
Fed [463]

Answer:

<h2>16 cm</h2>

Step-by-step explanation:

Use the formula for the volume of a cone:

V = (1/3)(area of base / round opening)(height of cone)

In this case we're interested in the following:

(1/3)(area of base / round opening)(height of cone) ≤ 535 cm³

First, mult. both sides by 3 to elim. the fraction 1/3:

(area of base)(height) ≤ 1605 cm³

Since the height is 8 cm, we now have:

(area of base) / (8 cm) = 1605 cm³, or

(area of base) = (1605 cm³) · (8 cm) = 200.625 cm²

The formula for the area of a circle is A = 3.14·r², where r is the radius.

If the area of the base is 200.625 cm², as found above, this equals 3.14r², and so

r² = (200.625 cm²) / (3.14) = 63.89 cm²

Then the radius must be +√63.89 cm, or 8 cm

and the diameter must be 2r = 2(8 cm) = 16 cm.  This would be the largest width of the container.

7 0
3 years ago
Match each function with the expression representing its inverse function.
Georgia [21]

Answer:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.

Step-by-step explanation:

To find the inverse of a function f(x), we let f(y)=x and then solve again for y.

For example, using g(x)=-0.5x, we will let g(y)=x, giving x=-0.5y. This means that y=-2x, and thus g^{-1}(x)=-2x.

Using similar logic, we see that:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.
5 0
1 year ago
Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fe
insens350 [35]

The equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

<h3>Equation</h3>

There are three basic types of equation in mathematics. Namely:

  • Linear equations
  • Quadratic equations
  • Simultaneous equations

  • Monthly fee = $50
  • One-time joining fee = $150
  • Total cost = C
  • Number of months = t

C = 150 + 50t

Therefore, the equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

Learn more about equations:

brainly.com/question/2972832

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5 0
1 year ago
Solve <br> | 2x + 6 | = x
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Answer:

1)<u> </u><u>soln</u>,

or,2x+6=x

or,2x-x= -6

or,x= -6

•°•x= -6 Ans#

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2 years ago
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