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PtichkaEL [24]
3 years ago
14

Jake draws a drinking glass with a scale of 2 units on his graph paper represents 2.5 cm. The glass is 8 units tall in the drawi

ng. What is the height, in cm, of the actual glass?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

Answer:

Ratio 2= 2.5

         8= 10


10cm

Step-by-step explanation:

Ratios and multiply each side by 4 to get the ratio 2:2.5 to 8:10

You might be interested in
a tour bus cost $75 plus $6 for each passenger. write and evaluate an expression to find the total cost for 25 passengers. then.
miskamm [114]
To make an expression for any amount of passengers, you need to use x for each passenger. Fill in x with the amount of passengers. Your equation is: 
75 + 6x. Now using this expression, we can find the answer to all of the amounts of passengers.

75 + 6(25) = 225; 75 + 6(26) = 231; and so on. Hope that I helped! Good luck!
8 0
3 years ago
Two sides of a triangle measure 25 cm and 35 cm. What is the meadure of the third side?
SpyIntel [72]

Answer:

43cm

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

25² + 35² = c²

625 + 1225 = c²

1850 = c²

√1850 = c

43 cm = c

your a, b and c values depend on where the values are on the triangle.

4 0
3 years ago
Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
The function f(x) = 4x + 5 has domain 0sxs 50. What is its range?<br> The range of the function is
MrMuchimi

9514 1404 393

Answer:

  range: 5 ≤ f(x) ≤ 205

Step-by-step explanation:

You can put the extreme values of x in this linear function to see its range:

  f(0) = 4·0 +5 = 5

  f(50) = 4·50 +5 = 205

The range is 5 ≤ f(x) ≤ 205.

7 0
2 years ago
Salem High School's winter sports teams WON 72% of their games last season. If the teams played 50 games, how many games did the
Dmitriy789 [7]

Answer

Find out the how many games did the teams lose .

To prove

Formula

Percentage = \frac{Part\ value\times 100}{Total\ values}

As given

Salem High School's winter sports teams WON 72% of their games last season.

If the teams played 50 games .

Percentage = 72%

Total value = 50

Put in the formula

72 = \frac{Number\ of\ games\ win\times 100}{50}

Number\ of\ games\ win = \frac{72\times 50}{100}

Number of games win = 36

Number of  games teams loses = Total number of games - number of games win

                                                          = 50 - 36

                                                          = 14

Therefore the number of games  team loses are 14 .



5 0
3 years ago
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