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2 years ago

7

If the scale on a map is 1 cm for every 117 km and Washington, D.C., and Baghdad, Iraq, are 85.26 cm apart on the map, then appr

oximately how far apart are they really?

1 answer:

belka [17]2 years ago

5 0

If 1 cm represents 117 Km.

Then, 85.26 cm represents 117×85.26=9975.42 Km

therefore, the given places are 9975.42 Km apart from eachother.

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What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0

kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0

3 years ago

A triangle with sides 11m , 13m and 18m is a right triangle.<br> <br> A<br> True<br> B<br> False

Julli [10]

$\bold{\huge{\pink{\underline{ Solution}}}}$

$\bold{\underline{ Given :-}}$

<u>A </u><u>triangle </u><u>with </u><u>sides </u><u>11m</u><u>, </u><u> </u><u>13m </u><u>and </u><u>18m</u>

$\bold{\underline{ To \: Find :-}}$

<u>We</u><u> </u><u>have </u><u>to </u><u>check </u><u>it </u><u>whether </u><u>it </u><u>is </u><u>right </u><u>angled </u><u>triangle </u><u>or </u><u>not</u><u>? </u>

$\bold{\underline{ Let's \: Begin :-}}$

$\sf{\red{ In \:right \:angled\ : triangle, }}$

According to the Pythagoras theorem, The sum of the squares of perpendicular height and the square of the base of the triangle is equal to the square of hypotenuse that is sum of the squares of two small sides equal to the square of longest side of the triangle.

<u>We </u><u>imply</u><u> </u><u>it </u><u>in </u><u>the </u><u>given </u><u>triangle </u><u>,</u>

$\sf{\red{ ( Perpendicular)² + (Base)² = (Hypotenuse)²}}$

$\sf{(AB)² + (BC)² = (AC)²}$

$\sf{ (11)² + (13)² = (18)² }$

$\sf{ 121 + 169 ≠ 324 }$

$\sf{ 290 ≠ 324 }$

<u>From </u><u>Above </u><u>we </u><u>can </u><u>conclude </u><u>that</u><u>, </u>

The sum of the squares of two small sides that is perpendicular height and base is not equal to the square of longest side that is Hypotenuse

$\sf{\blue{ Hence,\: Your\: answer \:is \:false }}$

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2 years ago

The temperature was 8℉. It dropped so that the temperature was 0℉. What integer represents the change in temperature?

antiseptic1488 [7]

Answer:

-8

Step-by-step explanation:

The temperature dropped 8 degree, resulting in a negative change. So the integer to represent it would be negative 8 degrees.

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3 years ago

6r-r + 8(15-r)+23-6 is it equivalent to 3r+137

natita [175]

Answer:

No, it's not equivalent

Step-by-step explanation:

Try and solve the one with the bracket first. Expand 8(15-r) : 8x15 and 8x-r = 120 - 8r

Therefore, the equation can now be written as:

6r-r + 120-8r + 23-6

Rearrange the like terms together and solve the equation:

6r-r-8r + 120+23-6 = -3r + 137

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3 years ago

Read 2 more answers

7(y – 8) + 24 = x(y – 6)

ICE Princess25 [194]

Answer:y = y = (32 - 6x)/(7 - x)

Step-by-step explanation:

1. Distribute -> 7y - 56 + 24 = xy - 6x

2. Add Like Terms -> 7y - 32 = xy - 6x

3. Collect Like Terms -> 7y - xy = 32 - 6x

4. Factor Out the "y" -> y(7 - x) = 32 - 6x

5. Divide Out the Left "x" -> y = (32 - 6x)/(7 - x)

8 0

2 years ago