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Luda [366]
2 years ago
9

David works at Mc Donald’s, and he made 96.75 for 10 hours of work how much does David earn per hour

Mathematics
2 answers:
Digiron [165]2 years ago
7 0
9.675

Move the decimal back one spot


Mark brainliest please
Georgia [21]2 years ago
5 0

Answer:

David gets 9.675 every hour. Rounded = 9.70

Step-by-step explanation:

You wanna take 96.75 and divide it by the hours. Which is 10.

So, 96.75/10 =

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Always to do each to 1 sigfig 20-6=14
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Graham puts $20 in his piggy bank every week. At the end of 39 weeks, he adds $100 to the piggy bank money and decides to do the
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morpeh [17]

Answer:

distance island dock to Dock A = 4.99 km

distance island dock to Dock K = 6.35 km

Step-by-step explanation:

Always make a scetch to visualize the situation.

You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.

I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.

The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.

The distance between AK = 2.3 km.

I define the distance between K and point C as 2.3 + x, because the distance x is unknown.

KC = 2.3 + x

Further more, when you make a picture, you can see that the distance between A and point C = x.

From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.

Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .

If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).

So we know the distance KC = LC and we already defined KC = 2.3 + x.

Now we know enough to solve the problem.

AK = 2.3 km

angle of LKC = 45°

angle of LAC = 64°

AC = x

KC = 2.3 + x

LC = KC

LC = 2.3 + x

Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.

tan(LKC) = ( LC ) / ( KC )

tan(LKC) = ( x+2.3 ) / ( x+2.3 )

That is not helpful. Let's try the other triangle...

tan(LAC) = LC / AC

tan(LAC) = ( x+2.3 ) / x

tan(64) = ( x+2.3 ) / x

Solve the equation which means you try to find the value for x.

x * tan(64) = ( x+2.3 )

tan(64) * x -x = 2.3

tan(64) * x - 1* x = 2.3

Try to get x outside of the braquets...

x* ( tan(64) - 1 ) = 2.3

x* (2.0503038415793 - 1 ) = 2.3

1.0503038415793 * x = 2.3

x = 2.3 / 1.0503038415793

x = 2.19

Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.

LA² = AC² + LC²

AC = x = 2.19

LC = 2.3 + x = 4.39

LA² = 2.19² + 4.39²

LA = SQRT( 4.79 + 20.16 )

LA = SQRT( 24.95 )

LA = 4.99 km

Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.

LK² = KC² + LC²

KC = 2.3 + x = 4.39

LC = 2.3 + x = 4.39

LK² = 4.39² + 4.39²

LK = SQRT( 20.16 + 20.16 )

LK = SQRT( 40.32 )

LK = 6.35 km

7 0
3 years ago
Which of the following groups cannot represent the side lengths of a triangle.
Rom4ik [11]

Answer:

try B for an answer, hope it helps

7 0
2 years ago
three roommates Ava, Ben, and Cora went grocery shopping online. Ava spent three times as much Ben and half as much Cora. If tog
Mamont248 [21]

Answer:

Cora's spend will be = $ 16.66

Step-by-step explanation:

Let y be the amount Ben spent

As Ava spent three times Ben will be 3y and half as much Cora(2y)

so the equation becomes

y + 2y + 3y = 50

6y = 50

y = 50/6

y = 8.33

So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency

Note: if currency is in $

Then Cora's spend will be = $ 16.66

8 0
3 years ago
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