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d1i1m1o1n [39]
2 years ago
9

Cameron had a balance of $450.00 in his account, and then he made a purchase for $517.50. What is the

Mathematics
1 answer:
alisha [4.7K]2 years ago
6 0

Answer:

-$67.50

450 - 517.5 = -67.5

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Answer:

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Step-by-step explanation:

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Which equation can be used to solve for x in the triangle below?
belka [17]

Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.

<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>

The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))

Given the following:

  • c = x = ?
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Plug in the values:

x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))

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Learn more about the cosine rule on:

brainly.com/question/23720007

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1 year ago
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What is the distance between the points (5,1) and (-3,-5)?<br>​
Charra [1.4K]

Answer

\boxed{10 \: \:  units}

Step by step explanation

Let the points be A and B

A ( 5 , 1 ) ⇒ ( x₁ , y₁ )

B ( -3 , -5 )⇒ ( x₂ , y₂ )

Now, let's find the distance between theses two points:

Distance = \mathsf{ \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2}  } }

Plug the values

\mathsf{ \sqrt{ {( - 3 - 5)}^{2} +  {( - 5 - 1)}^{2}  } }

Calculate

\mathsf{ \sqrt{ { ( - 8)}^{2}  +  {( - 6)}^{2} } }

Evaluate the power

\mathsf{ \sqrt{64 + 36} }

Add the numbers

\mathsf{ \sqrt{100} }

Write the number in exponential form with a base of 10

\mathsf  {\sqrt{ {10}^{2} } }

Reduce the index of the radical and exponent with 2

\mathsf{10 \: units}

-------------------------------------------------------------------------------

The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.

Hope I helped!

Best regards!

6 0
3 years ago
Max used a base ten blocks to solve the division problem 9.15 divided by 3.
Angelina_Jolie [31]

Answer:

D 3 ones, 0 tenths, 5 hundredths

Step-by-step explanation:

9.15 divided by 3.

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Then, moving the decimal point two units to the left, we have 3.05.

The last number before the decimal point is called ones, which means that we have 3 ones.

The first number after the decimal point is called tenths, which means that we have 0 tenths.

The second number after the decimal point is called hundredths, which means that we have 5 hundredths.

The correct answer is given by option D.

6 0
3 years ago
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