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Pachacha [2.7K]
3 years ago
6

A map scales designates 1"=50 miles. If the distance between two towns on the map 2.75 inches, how many miles must you drive to

go from the first town to the second
Mathematics
2 answers:
RSB [31]3 years ago
6 0
You would multiply 2.75 by 50, which is 137.5 miles
nadya68 [22]3 years ago
3 0
137.5 miles between the two

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Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P ( A ∪ B ) ? (Express
Aneli [31]

Let A = {1, 2, 8} and B = {2, 7}.

P ( A ∪ B ) = {1, 2, 7, 8}

= 4/10

= 0.4

Answer: 0.4

5 0
3 years ago
How do I find the missing side of this triangle
larisa86 [58]

Answer:

40

Step-by-step explanation:

by using similar triangles;

27/24=45/x

x=45x24/27=40

7 0
3 years ago
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Which equation can be simplified to find the inverse of y = 5x² + 10?
notsponge [240]

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

6 0
2 years ago
Solve the system of linear equations by elimination.<br><br> −x+3y=0<br><br> x+3y=12
Natali5045456 [20]

Answer:

(6,2)

Step by Step explanation:

1- Add the two equations so the Xs cancel out

2- find y by dividing 6 from both sides

3- plug in the y value in the place of the y in one of the equations

4- solve the equation to find X

5 - put answer in correct format (x,y)

5 0
3 years ago
Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022
miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)

f(x, y, z) = x^2+y^2+z^2

Since we have three variables,

L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)

f(4, 4, 7) = 4^2+4^2+7^2=81

f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14

Therefore:

L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of  4.02^2 + 3.99^2 + 6.97^2 is 80.66000.

3 0
3 years ago
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