Answer:
Step-by-step explanation:
This a right triangle so we will use the Pythagorian theorem. x is the hypotenus.
■■■■■ Pythagorian theorem ■■■■■
● x^2 = √10^2 + √10^2
● x^2 = 10 + 10
● x^2 = 20
● x = √20 yd
The missing the side of the triangle is x = 2√5 yd
We can use Pythagoras' theorem to identify the missing side x because the triangle is right angled.
We have the Pythagorean theorem.
a² = b² - c²
where a represents the hypotenuse
The hypotenuse of the question is x.
Fill in the blanks with the values from the above formula.
We now have
x² = (√10)² + (√10)²
x² = 10 + 10
x²
Calculate the square root of both sides.
The final solution is as follows:
x = 2√5 yd
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Company A requires a greater monthly income since its ideal debt-to-income ratio (0.3) results in a higher portion of income allocated to the mortgage payment compared to Company B's ideal ratio of 0.28.
Company A's ideal metric for the debt-to-income ratio is 0.3, which means the monthly mortgage payment should be 30% of the total monthly income. Similarly, Company B's ideal metric is 0.28, which means the monthly mortgage payment should be 28% of the total monthly income.
Since the target mortgage payment is the same for both companies, the company with the smaller ideal metric (0.28 for Company B) requires a greater monthly income to meet that target. This is because a smaller ratio (0.28) of the mortgage payment to the total income implies that the mortgage payment is a larger portion of the income, requiring a higher income to maintain the same payment amount.
In other words, Company B's requirement of keeping the debt-to-income ratio lower means that the mortgage payment should be a smaller fraction of the total monthly income. As a result, to keep the mortgage payment constant, a higher income is needed to achieve the smaller debt-to-income ratio of 0.28 compared to Company A's debt-to-income ratio of 0.3.
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Answer:
the 0.28 company
Step-by-step explanation:
0.28 is smaller than 0.3 and 0.28 still costs the same amount of money as 0.3
B. x = 6 + 10; x = 16
C. x + 6 = 16; x = 10
D. x + 6 = 10; x = 4
Answer:
Step-by-step explanation:
to balance the beam, the weight on the left side must be equal to the right side.
x + 6 = 10 let x = box
x = 10 - 6
x = 4
therefore, the answer is D. x + 6 = 10; x = 4
x + 6 = 10; x = 4 is the linear equation and the solution that represents the model, where circles and a square are shown evenly balanced on a balance beam.
1. **Modeling the Balance**: In this problem, you are given a scenario where circles and a square are evenly balanced on a balance beam. To represent this balance mathematically, you need to ensure that the total weight (or the "value" of the shapes) on the left side of the balance is equal to the total weight on the right side.
2. **UnknownWeight**: You are asked to find the value of the square, represented by 'x.' This 'x' represents the weight or value of the square on one side of the balance.
3. **Equation Setup**: To set up the equation, you note that on the left side of the balance, you have 'x' (the square) plus 6 (the circles). On the right side, you have 10 (implying there's something with a weight or value of 10 units).
So, you set up the equation as:
x + 6 = 10
This equation says that the weight of the square plus the weight of the circles on one side equals the weight of whatever is on the other side.
4. **Solving for x**: To find the value of 'x' (the weight of the square), you isolate 'x' on one side of the equation. To do that, you subtract 6 from both sides of the equation:
x + 6 - 6 = 10 - 6
This simplifies to:
x = 4
So, 'x' represents a square with a weight or value of 4 units. This means that the square's weight on one side of the balance is balanced by 6 units of weight from the circles on the other side, resulting in a total of 10 units on both sides, ensuring the balance.
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