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2 years ago

Samuel is trying to construct the inscribed circle of a triangle.

Mathematics

1 answer:

Yuki888 [10]2 years ago

3 0

The next step to complete the construction will connect the in-center to one of the sides of the triangle.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

Samuel is trying to construct the inscribed circle of a triangle.

Using the angle bisectors to find the in-center.

Where two angles bisector meets, the point called in-center.

Next step will be: connect the in-center to one of the sides of the triangle.

Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

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A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of

anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25) = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0

3 years ago

An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many empl

omeli [17]

Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

0.267 * x = 23,200

0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees

6 0

3 years ago

Write the numbers 23,643 and 23,987 so they line up by place value. Explain how to line them up

weqwewe [10]

Consider the numbers 23,643 and 23,987.

Since both the given numbers have same digits at ten thousands and thousands place.

So, we can'not compare the numbers on the basis of ten thousands and thousands digit.

So, let us consider the number 23,643

Consider the place value of digit at the hundreds place. Since, the digit at hundreds place = 6.

The place value of 6 = 600

Now, let us consider the number 23,987

Consider the place value of digit at the hundreds place. Since, the digit at hundreds place = 9.

Te place value of 9 = 900

Since, 900 > 600

So, 23,643 > 23,987

Therefore, the number 23,987 is greater than the number 23,643.

4 0

3 years ago

Convert y=x^2+8x+7 to intercept form

jek_recluse [69]

Answer:

roots: (-7, 0) (-1,0)

Vertical Intercept: (0,7)

x^1=-7 , x^2= -1

if that's not the right information just let me know!!

4 0

2 years ago

If i have 2 snickers and my friend takes one what would I have left?

Sauron [17]

Answer:

Step-by-step explanation:

5 0

3 years ago