Answer:
The angle opposite to the side measuring 3.1 is x
The triangle shown in the attached figure
Step-by-step explanation:
It is established that
In a right triangle, the tangent of angle x is defined as the ratio of the length of the side opposite angle x to that of the adjacent side
In this case, we have
Thus
The side opposite to angle x has length 3.1 units
The side adjacent to angle x has a length of 5.2 units
The angle opposite the side measuring 3.1 is x
Please see the attached figure for additional clarity on the problem
The risk of down syndrome, in terms of the percentage of births per year, is changing at a rate given by the equation r(x) = 0.004641x² - 0.3012x + 4.9 for the range 20 ≤ x ≤ 45, where x signifies the maternal age at delivery. To derive the risk function as a percentage of births relative to maternal age x, we integrate r(x), leading to the function f(x) = 0.001547x³ - 0.1506x² + 4.9x + c. When x is 30, f evaluates to 0.14%. This means that 0.001547(30³) - 0.1506(30²) + 4.9(30) + c equals 0.14. Solving gives 41.769 - 135.54 + 147 + c = 0.14, which simplifies to c = -53.089. As a result, we establish that f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089 for 20 ≤ x ≤ 45. The graph corresponding to this function is illustrated below.
Answer:
55°
Step-by-step explanation:
The problem does not have a suitable diagram. Please check the attachment for the diagram.
Observing the diagram, it is evident that the triangle is isosceles, as it has two sides that are congruent (i.e., the same length). Since these sides are identical, the base angles are consequently also equal.
From the diagram, <EFG = <EGF
Since <EFG = 55°, it follows that <EGF = y = 55°
Thus, the value of y is established as 55°
Answer: Fourteen students are not enrolled in any foreign languages.
Step-by-step explanation: Begin with the total student count and subtract the number enrolled in each language class. This yields 19 for French, 12 for Spanish, and 7 for those taking both. Summing these numbers gives 38. Next, repeat this process, subtracting each category from 30 to find how many students are not participating in either language. You would end up with 11 for French, 18 for Spanish, and 23 for both. Adding these values results in 52. Finally, subtract 38 from 52 to arrive at the final result of 14.
Take 2.25 and multiply by each answer, then use 750 and record the total. Next, multiply 3.25 with each answer in ascending order, adjusting the figures until you reach the precise amount. For example, D indicates that for 760, 2.25 times 760 yields 2460, and multiplying by 3.25 gives you 2570. You save 10 dollars, enabling you to cover the costs for food and the band.
