Triangle D
Because the Pythagorean Theorem is only used with a RIGHT triangle
The opposite of 41 is -41
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)
1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:
Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.
The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.
In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.
To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.
The term 5² = 25.
The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.
Taking the terms back to the expression, we get:
4(5² - 3 - 2x)²
= 4(25 - 3 - 10)²
= 4(12)²
= 4(144)
= 576.
Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.
Learn more about solving expressions at
brainly.com/question/723406
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