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2 years ago

What is the sum of 1/2 + 1/4? A. 2/8 B. 2/6 C. 4/8 D. 6/8

Mathematics

1 answer:

Pie2 years ago

6 0

3/4 is the total.

See attached image for explanation.

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erik [133]

$2.=c.\\\\2\sin4x\cos4x=2\sin(2\cdot4x)=2\sin8x\\\\Used:\\\sin2\alpha=2\sin\alpha\cos\alpha$

$1.=b.\\\\\csc x-\sin x=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{\cos^2x}{\sin x}\\\\=\dfrac{\cos x\cos x}{\sin x}=\cos x\cdot\dfrac{\cos x}{\sin x}=\cos x\cot x\\\\Used:\\\csc x=\dfrac{1}{\sin x}\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\\cot x=\dfrac{\cos x}{\sin x}$

$3.=a.\\\\\dfrac{\sin x-1}{\sin x+1}=\dfrac{\sin x-1}{\sin x+1}\cdot\dfrac{\sin x+1}{\sin x+1}=\dfrac{\sin^2x-1^2}{(\sin x+1)^2}=\dfrac{\sin^2x-1}{(\sin x+1)^2}\\\\=\dfrac{-(1-\sin^2x)}{(\sin x+1)^2}=\dfrac{-\cos^2x}{(\sin x+1)^2}\\\\Used:\\(a-b)(a+b)=a^2-b^2\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x$

8 0

2 years ago

– 6 (2x – 3) – 11

jekas [21]

Answer:

12x + 7 is the answer

Step-by-step explanation:

3 0

2 years ago

Anthony patella earns 300 a week working part time at his uncles restaurant how much does he make in a year

Orlov [11]

500 is the answer checked and for sure write your welcome

5 0

2 years ago

Read 2 more answers

the 6:00 a.m. temperatures for four consecutive days in the town of Lincoln were -12.1 C, -7.8 C, -14.3 C and -7.2 C what was th

Marrrta [24]

Answer:

-10.4

Step-by-step explanation:

You add all of the temperatures together and then divide the total by 4 (because there are four temperatures) and you get 10.35. You round that up to 10.4

3 0

2 years ago

Uma secretária possui 6 camisas, 4 saias, e 3 pares de sapatos. Qual o número de maneiras distintas com que a secretária poderá

juin [17]

Answer:

72 maneiras

Step-by-step explanation:

O que acontecerá aqui é que um de cada tipo de roupa será selecionado.

Das 6 camisas, 1 será selecionada O número de maneiras pelas quais podemos fazer isso é 6C1 = 6

Das saias também, ela estará selecionando uma O número de maneiras que isso pode ser feito é 4C1 = 4

O terceiro é selecionar um par de sapatos de 3 e isso seria 3C1 = 3

assim o número de maneiras pelas quais ela pode fazer as seleções é 6 * 4 * 3 = 72 maneiras

6 0

2 years ago