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3 years ago

Which of the following is the solution of One-fourth x + 5 = 7?

Mathematics

1 answer:

True [87]3 years ago

8 0

Answer:

x/4 + 5 = 7

-5 -5

x/4 = 2

*4 *4

x=8

Step-by-step explanation:

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How do you simplify the following trigonometric expression:

Veronika [31]

$\bf \cfrac{sec(x)sin(x)+cos(\pi -x)}{1+sec(x)}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{1}{cos(\theta)}\qquad \qquad cos(\pi )=-1\qquad sin(\pi )=0
\\\\
cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})\\\\
-----------------------------\\\\
\cfrac{\frac{1}{cos(x)}sin(x)+[cos(\pi )cos(x)+sin(\pi )sin(x)]}{1+\frac{1}{cos(x)}}
\\\\\\
\cfrac{\frac{sin(x)}{cos(x)}+[-1\cdot cos(x)+0\cdot sin(x)]}{\frac{cos(x)+1}{cos(x)}}$

$\bf \cfrac{\frac{sin(x)}{cos(x)}+[-cos(x)]}{\frac{cos(x)+1}{cos(x)}}\implies \cfrac{\frac{sin(x)-cos^2(x)}{cos(x)}}{\frac{cos(x)+1}{cos(x)}}
\\\\\\
\cfrac{sin(x)-cos^2(x)}{cos(x)}\cdot \cfrac{cos(x)}{cos(x)+1}\implies \cfrac{sin(x)-cos^2(x)}{cos(x)+1}$

5 0

3 years ago

<br />

Georgia [21]

A) 16, 17, 18, 19
B) 66, 77, 88, 99
C) 61, 71, 81, 91
D) 60, 70, 80, 90

4 0

3 years ago

To win at LOTTO in one state, one must correctly select numbers from a collection of numbers (1 through ). The order in which

allsm [11]

Answer: If order does not matter then we can use following formula to find different combinations of 6 numbers out of 46 numbers

Step-by-step explanation: Use following Combination formula

nCr = n! / r!(n-r)!

n=46

r=6

=46!/6!(46-6)!

=46!/[6!(40)!]

=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)

Cancel out 40!

=46*45*44*43*42*41/(6*5*4*3*2*1)

=6744109680/720

=9366819

6 0

3 years ago

The height of a building is 1417 ft. How long would it take an object to fall to the ground from the top? Use the formula s = 16

Lemur [1.5K]

Given :

The height of a building is 1417 ft.

To Find :

How long would it take an object to fall to the ground from the top.

( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )

Solution :

Putting value of height in given equation, we get :

$16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds$

Therefore, time taken by object to reach the ground is 9.41 seconds.

8 0

3 years ago

Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card,

pantera1 [17]

Answer:

268

Step-by-step explanation:

11/37=credit card

11/37=x/900

900 divided by 37=24.3

24.3 times 11=267.56

round it to 268

7 0

2 years ago