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3 years ago

A circle has an arc of length 24pi that is intercepted by a central angle of 80 degrees. what is the radius of the circle?

Mathematics

1 answer:

SashulF [63]3 years ago

8 0

Circumference = 2pi r

80/360 x 2pi x r = 24pi
r = 54

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How does or what does a organism gain from having a stem cell

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Their potential to regenerate and repair damaged tissue. Some current therapies, such as bone marrow transplantation, already make <span>use of </span>stem cells<span> and their potential for regeneration of damaged tissues.</span>

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3 years ago

X^3+8 divided by x+2

Klio2033 [76]

Answer: x^2+4

Step-by-step explanation:

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3 years ago

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

3 years ago

8x^2+5=22x Need help learning factoring please put work so I can understand

sp2606 [1]

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

5 0

3 years ago

Solve the following 2 + 8 ÷ 2 x 3

mafiozo [28]

Answer:

Step-by-step explanation:

Solution,

Use the BODMAS Rule:

B = Bracket

O = Of

D = Division

M= Multiplication

A = Addition

S = Subtraction

Now,

Let's solve,

$2 + 8 \div 2 \times 3$

First we have to divide 8 by 2

$= 2 + 4 \times 3$

Calculate the product

$= 2 + 12$

Calculate the sum

$= 14$

Hope this helps...

Good luck on your assignment..

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3 years ago

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