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Lady bird [3.3K]
3 years ago
12

Find the missing side.

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

2 units

Step-by-step explanation:

x= 2×4/4 = 2 units

You might be interested in
Find two consecutive odd integers such that the sum of the first and three times the second is 98
Mrac [35]

Answer:

23 and 25

Step-by-step explanation:

x and x+2

x+3(x+2)=98

x+3x+6=98

4x=92

x=23

x+2=25

3 0
3 years ago
Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?
klio [65]
His mother would be 30.

Hope this helps :)
4 0
3 years ago
Read 2 more answers
1. Create a circle. Show and explain the difference between the following:
liberstina [14]
1. 
a.
A secant line is a line which intersects the circle at 2 different points. 

A tangent line is a line which has only one point in common with the circle.

Check picture 1: The orange line s is a secant line, the blue line t is a tangent line.


b.
An inscribed angle is an angle formed by using 3 points of a circle. 

The main property of an inscribed angle is that its measure is half of the measure of the arc it intercepts.

Check picture 2: If  m(\angle KML)=\beta, then the measure of arc KL is 2 \beta.

A central angle is an angle whose vertex is the center of the circle, and the 2 endpoints of the rays are points of the circle.

The main property is: the measure of the central angle is equal to the measure of the arc it intercepts. 

Check picture 2

2.
To construct the inscribed circle of a triangle, we first draw the 3 interior angle bisectors of the triangle.
They meet at a common point called the incenter, which is the center of the inscribed circle.
We open the compass, from the incenter, so that it touches one of the sides at only one point. We then draw the circle. (picture 3)

To draw the circumscribed circle, we first find the midpoints of each side. We then draw perpendicular segments through these (the midpoints.) They meet  at one common point, which is the circumcenter: the center of the circumscribed circle.
We open the compass from the circumcenter to one of the vertices of the triangle. We draw the circle, and see that it circumscribes the triangle.

(picture 4)

3.

Given an equation of a circle: x^2-2x+y^2+6y+6=0.

To determine the center and the radius of the equation we must write the above equation in the form :

                              (x-a)^2+(y-b)^2=r^2.

Then, (a, b) is the center, and r is the radius of this circle. We do this process by completing the square.

Note that x^2-2x becomes a perfect square by adding 1, and 
y^2+6y becomes a perfect square by adding 9. 

Thus we have:

x^2-2x+y^2+6y+6=0\\\\(x^2-2x+1)+(y^2+6y+9)-4=0\\\\(x-1)^2+(y+3)^2=2^2

Thus, the center is (1, -3), and the radius is 2.

4. Not complete


5.

The radius of the pizza is \displaystyle{ \frac{131}{2}ft=65.5ft.

The surface of a circle with radius r is given by the formula \displaystyle{  A=\pi r^2,
and the circumference is given by the formula C=2πr.

Thus, the area of the whole pizza is given by \displaystyle{  A=\pi r^2= \pi\cdot65.5^2=4290.25 \pi (square ft).

Each of the 50 slices, has an area of \displaystyle{ \frac{4290.25 \pi}{50} =85.805 \pi (square ft)

Notice that the perimeter (the crust) of a slice is made of 2 radii, and the arc-like part.
The arc is 1/50 of the circumference, so it is \displaystyle{\frac{2 \pi r}{50} = \frac{2\cdot65.5\cdot \pi }{50}= 2.62 \pi.

So the perimeter of one slice is 65.5+65.5+2.62π=131+2.62π

7 0
3 years ago
How do you do this? I am really confused
german

Answer:

Step-by-step explanation:

ok, so this is an infinitly repeating function, so you can write it as:

sqrt(12-x)

Although, x is also equal to sqrt(12-x), so

x = sqrt(12-x), and

x^2 = 12-x

x^2-12+x = 0

now just apply the quadratic formula and you're good

hope i helped :D

8 0
2 years ago
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
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