Answer:
it is 6x²+ 9x- 15
Step-by-step explanation:
Given that Dan borrowed $1,250.00 from his brother who is charging him 5% simple interest. Now we have to find the total payment that he needs to payback including interest. Hence we can use simple interest formula
I=PRT
Where P= 1250
R=5% =0.05
T=18 months = 18/12 = 1.5 years
Now plug these values into above formula
I=PRT=1250*0.05*1.5=93.75
So total payment including interest = 1250+93.75=1343.75
Hence final answer is $1343.75.
The area is 14 because the triangles area is 6 and the rectangles area is 8
Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;

Where
represents the central angle and r represents the radius
By substituting
and r = 3
becomes



square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for 
So,
becomes

square units
Hence, the area of the sector in the attached figure is
or 9.42 square units
Answer:
El ángulo formado entre las dos direcciones es aproximadamente 115º.
Step-by-step explanation:
Las direcciones dadas en el enunciado significan lo siguiente:
S32ºE - <em>32º al este del sur.</em>
E57ºN - <em>57º al norte del este.</em>
Vectorialmente hablando, cada dirección es la siguiente:
S32ºE


E57ºN


El ángulo formado entre los dos vectores unitarios (
), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

Donde:
- Norma de
.
- Norma de
.
Si sabemos que
,
,
y
, entonces el ángulo formado entre los dos vectores es:


El ángulo formado entre las dos direcciones es aproximadamente 115º.