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Natalija [7]
3 years ago
5

a one way road passes under an overpass in the shape of half an ellipse, 15 ft. high at the center and 20 ft wide. assuming a tr

uck is 12 ft. wide what is the tallest truck that can pass under the overpass?
Mathematics
2 answers:
3241004551 [841]3 years ago
4 0
The tallest truck that can pass under the overpass would be 9 feet in height :)

kap26 [50]3 years ago
3 0

Answer:

The answer is 12 feet.

Step-by-step explanation:

Let the height of the truck be represented by y.

The ellipse has the equation \frac{x^{2} }{10^{2} } +\frac{y^{2} }{15^{2} } =1

We have to find the y-coordinates when x is equal to 6 (half the width of the road)  

So,  \frac{36}{100}+\frac{y^{2} }{225} =1

Multiplying throughout by 225 to get 81^{2}+y^{2}=225

Solving this we get, y^{2} =144

Hence, y = 12

So, the tallest truck that will fit under the pass will be 12 feet tall.

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Matrix multiplication was used to encode a message using the given encoding matrix: [i 47 A=1 |-1 -3] The original message was c
nadya68 [22]

Answer:

A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] message SHOW_ME_THE_MONEY_  

Step-by-step explanation:

The matrix

A=\left[\begin{array}{cc}1&4\\-1&-3\end{array}\right]\rightarrow |A|=(1 \times -3)-(-1\times 4)=1\\\rightarrow A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] \\

We can check that in fact A*A^⁻1=I_2 the identity matrix of size 2 x 2.

Now the message was divided in 1 x 2 matrices, then we have that the sequence given is the result of multiplying m by A, so to get m again we multiply now by A^⁻1. and we get the next table

Encoded message    Decoded message    message in letters by association

11 52        19 8    S H

-8 -9         15 23  O W

-13 -39        0 13   _ M

5 20         5 0   E _

12 56        20 8    T H

5 20         5 0    E _

-2 7           13 15  M O

9 41         14 5   N E

25 100       25 0    Y _

Then the message decoded is SHOW_ME_THE_MONEY_                                

3 0
3 years ago
Solve for y<br> -3y+4=-17
patriot [66]

Answer:

7

Step-by-step explanation:

-3y+4= -17

-3y= -21

y= 7

4 0
3 years ago
Read 2 more answers
I’ll give brainliest
Nat2105 [25]

Answer:

x = -22

Step-by-step explanation:

6(x+15) = -42

x+15 = -7

x = -22

6 0
3 years ago
The mass of Jupiter is 1.898 × 10(27) kilograms, and the mass of Saturn is 5.68 × 10(26) kilograms. How much greater is Jupiter'
grandymaker [24]
Just subtract but take care of the power or else you can come up with wrong results !

so first make the power same ;

for Jupiter = 1.898× 10(27) = 18.98 × 10(26)
for Saturn = 5.68×10(26)

so now subtract = (18.98-5.68) × 10(26)
= 13.3 × 10(26)

so the answer is 13.3 ×10(26)
or, 1.33× 10(27)
6 0
3 years ago
Are there any outliers in the data? What does the outlier mean?
Brrunno [24]

Answer:

<em>44, definition below</em>

Step-by-step explanation:

  1. An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.
  2. I would consider 44 to be an outlier in the number set.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

5 0
3 years ago
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