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hichkok12 [17]
3 years ago
15

In the figure, what is the value of x? a. 45 b. 60 c. 75 d. 90

Mathematics
1 answer:
Katarina [22]3 years ago
5 0
<h3>Answer:  x = 90</h3>

============================================

Explanation:

The arc measure is some unknown number x, so is the angle formed by the tangents that form based on this arc. The arc and angle add to 180, so,

x+x = 180

2x = 180

2x/2 = 180/2

x = 90

A right angle forms if we were to draw segments from the center of the circle to the points of tangency. We have a square forming if we do so. Recall that the points of tangency have the radius and tangent segments meet up at a 90 degree angle.

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HELP FASTT !
Fofino [41]

Answer:

The total number of carnations bought = 108c.

And the total number of roses bought = 96r.

6 0
3 years ago
Which of the following is true about how information is processed by the interviewer? a. Negative information is given a relativ
son4ous [18]

Answer:

A. Negative information is given a relatively larger weight than positive information.

Step-by-step explanation:

Among the options enlisted, the fact that negative information is given a relatively larger weight than positive information, signposts the manner in which information is processed by an interviewer.

During the recruitment and/or interview processes, the recruiter is presented with a pool of candidates with varying skills and competencies. The scenario here will be that the recruiter will come up with penciled skills and character to;

1. Streamline and reduce the large number of applicants

2. Ensures that applicants are properly matched with the right jobs

To achieve the foregoing therefore, and considering the large pool of candidates, the interviewer will be highly sensitive to negative information that could pose a threat to the underlying recruitment objective.

3 0
4 years ago
A car whose acceleration is constant reaches a speed of
Sergeu [11.5K]

Answer:

  12.5 s

Step-by-step explanation:

If acceleration is constant, speed is proportional to time. To increase the speed by 50 km/h, the car will need an additional time given by ...

  t/(50 km/h) = (20 s)/(80 km/h)

  t = (20 s)(50/80) . . . . . multiply by 50 km/h

  t = 12.5 s

It will take 12.5 more seconds for it to reach a speed of 130 km/h.

3 0
4 years ago
Read 2 more answers
Use Lagrange multipliers to find the maximum and minimum values of
marusya05 [52]

The Lagrangian is

L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)

It has critical points where the first order derivatives vanish:

L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}

L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y

L_\lambda=x^2+y^2-4=0

From the first two equations we get

-\dfrac1{2x}=-\dfrac4y\implies y=8x

Then

x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}

At these critical points, we have

f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125 (maximum)

f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125 (minimum)

5 0
3 years ago
Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
3 years ago
Read 2 more answers
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