MATHEMATICS HIGH SCHOOL

Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer 1
Answer:

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = (sinA)/(cosA) , cot A = (cosA)/(sinA)

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - (cos^2A)/(sinA) + (sin^2A)/(cosA) - sinA ( collect like terms )

= (sin^2A)/(cosA) - (cos^2A)/(sinA)

= ( sinA × (sinA)/(cosA) ) - ((cosA)/(sinA) × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

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Question 4 cjenfjejcjebxjdb

What is 5 7/10 times -5/9

Answers

\tt{Hey~there!

\tt{5(7)/(10)*(-5)/(9)

\tt{Multiply:

\tt{5(7)/(10)*(-5)/(9)=(-19)/(6)

\tt{Now~simplify~-19/6:

\tt{(-19)/(6) =-3(1)/(6)

\boxed{\tt{-3(1)/(6)}}

\tt{Hope~this~helps!

\boxed{\tt{-TestedHyperr}}

Answer:

57/18 or 3 1/6

Step-by-step explanation:

Step 1:

5 7/10 × - 5/9       Equation

Step 2:

57/10 × - 5/9    Change to Improper Fraction

Answer:

57/18 or 3 1/6

Hope This Helps :)

Julián invito a sus amigos a comer una pizza. Él comió 2/8 del total. Juan comió el doble que Julián y mica comió la mitad de lo que comió juan. a- ¿Cuántas porciones tenía la pizza? b- ¿Cuántas comió Julián? c- ¿Cuántas comió juan? d- ¿y Mica? e- ¿Cuántas porciones sobraron? f- Demuestra con un gráfico tus respuestas.

Answers

Answer:

a) La pizza tenía 8 porciones.

b) Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones.

f) Véase la imagen adjunta para mayor detalle.

Step-by-step explanation:

Sean x, y, z las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:

x+y+z=1(1)

(i)Julián comió 2/8 del total:

x = (2)/(8)(2)

(ii)Juan comió el doble que Julián:

z = 2\cdot x(3)

(iii)Mica comió la mitad de lo que comió Juan:

y = (1)/(2)\cdot z(4)

Al aplicar (2) en (3), tenemos que Juan comió:

z = (4)/(8)

Y ahora se aplica el resultado anterior a (4):

y = (1)/(2)\cdot (4)/(8)

y = (2)/(8)

a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.

b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.

f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.

Which of these is an example of discrete data?A)Temperature
B) Pages in a Book
C)Area of a room
D)Distance

Help ASAP! ): <3

Answers

do you still need help

Pls help dew in 5 and pls no links or trolling.

Answers

Answer:

She has to get a 5

Step-by-step explanation:

So basically you have the numbers 4, 4, and 3.

To get a mean is the average, so we need to balance out the 3.

To balance it out, we add a 5.

We would have to get 16 points for it to be a mean of 4, 4 + 4 + 3 + 5 = 16.

Hi friends!!who gives the answer is the best!!!!

A car covers a distance 50km in 2.2 hrs what is the average distance cover it in 1 hour?
​

Answers

Answer:

22.73 km.

Step-by-step explanation:

To find the average distance covered by the car in 1 hour, we can use the concept of speed or velocity.

Speed is defined as the distance traveled divided by the time taken. In this case, the car covers a distance of 50 km in 2.2 hours.

To find the average speed of the car, we divide the total distance by the total time:

Average speed = Total distance / Total time

Average speed = 50 km / 2.2 hours

Simplifying this calculation, we find that the average speed of the car is approximately 22.73 km/h.

Since speed is defined as the distance covered per unit of time, we can conclude that the car covers an average distance of 22.73 km in 1 hour.

Therefore, the average distance covered by the car in 1 hour is approximately 22.73 km.

What is the fraction 18/24 reduced to its lowest terms? A. 9/12
B. 3/4
C. 24/18
D. 18/24

Answers

First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 3, 6
GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

Set these as your new numerator and denominator.

(3)/(4)

The answer is (b).
\boxed{ (18^(/6))/(24^(/6)) ~\to~ (3)/(4) }
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