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vovangra [49]
3 years ago
7

Find the value of the "?"

Mathematics
1 answer:
Andru [333]3 years ago
3 0

Answer:

45

Step-by-step explanation:

Set up ratios for 2 similar triangles:

20/28=x/x+18

Cross multiply

28x=20x+360

8x=360

x=45

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4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
s2008m [1.1K]

Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = 2a

where a is called the semi-major axis.

In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

Minor axis = 2b

where b  is called the semi-minor axis.

Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

5 0
3 years ago
Are 6:5 And 17:5 equivalent
Andrews [41]

Answer:

no

Step-by-step explanation:

5 0
2 years ago
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A classroom board is 23 inches wide and 17 inches tall. Juan
natima [27]

Answer:

80 inches

Step-by-step explanation:

12 x 7=34

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34+46=80 inches

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3 years ago
By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?
lbvjy [14]

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18miles per day

Step-by-step explanation:

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