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Montano1993 [528]
2 years ago
9

At a convention for lawyers it was known that of the 100 present, at least one was honest, yet if you met any two of the lawyers

, you could guarantee that at least one of the two would be crooked. How many honest lawyers were present?
Mathematics
1 answer:
Bogdan [553]2 years ago
4 0
In my opinion there would be fifty one honest lawers
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Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

8 0
3 years ago
How many yards are in 3 times of 4 yards 2 foot
Len [333]
4 yards and 2 feet is equal 14 feet since each yard is made up of 3 feet.

1 yard = 3 feet.

So if we take 14 feet and multiply that by 3 we get 42 feet. 

42/3 is equal to about 14 yards in total 

So the answer is 14 yards. 
6 0
3 years ago
Help me assapppp!!! Pls
mafiozo [28]

Answer:

have you tries adding them together?

5 0
3 years ago
Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?
murzikaleks [220]

Answer:

cos(\theta)=-\frac{\sqrt{35} }{6}

Step-by-step explanation:

Recall the negative angle identity for the sine function:

sin(- \theta)=-sin(\theta)  

Then, we can find the value of  sin(\theta):

sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}

Now recall the definition of the tangent function:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Therefore, now that we know the value of sin(\theta), we can solve in this equation for cos(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}

5 0
2 years ago
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tresset_1 [31]

Answer:

2 flavors and 4 toppings

Step-by-step explanation:

For there to be 8 possible ways, you need to have inputs that can equal that. 4×2 is 8

3 0
2 years ago
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