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Zarrin [17]
3 years ago
6

Acellus

Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Answer:

d = 14

Step-by-step explanation:

\sin \: 45 \degree =  \frac{a}{7 \sqrt{2} }  \\  \\a = 7 \sqrt{2}  \sin \: 45 \degree  \\  \\ a =  7\sqrt{2}   \times  \frac{1}{ \sqrt{2} }  \\  \\ a = 7 \\  \\  \sin \: 30 \degree =  \frac{a}{d}  \\  \\  \frac{1}{2}  =  \frac{7}{d}  \\  \\ d = 2 \times 7 \\  \\ d = 14

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A first number plus twice a second number is 14. Twice the first number plus the second totals 10. Find the numbers.
Nookie1986 [14]

Answer:

first number(x) = 2 second number(y)= 6

Step-by-step explanation:

This is an example of a simultaneous equation.

First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".

x + 2y = 14  (equation 1)

2x + y = 10  (equation 2)

This is solved using the elimination method.

We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.

2x + y = 10 MULTIPLY BY 2

4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)

Now subtract equation 1 from equation 2.

4x - x + 2y - 2y = 20 - 14  (2y cancels out here)

3x = 6

x = 2

Now we substitute our x value into equation 1 to find the value of y.

2 + 2y = 14

2y = 12

y = 6

Hope this has answered your question.

6 0
3 years ago
Read 2 more answers
Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equa
-Dominant- [34]

Answer:

  - The diagram bar is attached.

  - Addition equation:  7+7+7=21

  - Multiplication equation: (3)(7)=21

  -  How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

 Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of  beads Jan buys. This is:

7+7+7=21

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

(3)(7)=21

The equations are related. Each one shows 3 groups of 7.

6 0
3 years ago
Drag and drop each number to its correct position on the number line.
Stels [109]

Answer:

-⅜ is between -1 and 0

⅞ is between 0 and 1

-2½ is between -3 and -2 ( in the mid )

2½ is between 2 and 3 ( in the mid )

4 0
3 years ago
3 times a Numbers plus 12 is more than 15?
Darya [45]

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

4 0
3 years ago
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Ursula picks carrots and radishes from her garden. She picks
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2 1/2 more pounds of carrots.
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