All categories

2 years ago

What is the area of a circle with a radius of 5 inches?

Mathematics

1 answer:

Igoryamba2 years ago

4 0

Answer:

78.54in²

Step-by-step explanation:

i used the formula

You might be interested in

Braelyn Is writing including to officiate rectangle with a width equal to half the length she knows the perimeter is equal to 18

ziro4ka [17]

Length= 6 Width= 3

the formula to find the perimeter in a rectangle is 2(L+W)=perimeter
they gave us the perimeter so we substitute is into the equation:
2(L+W)=18
substitute the W by 1/2L
u will end up with 2(L+1/2L)=18
distribute the 2 and u will get:
2L+1L=18 which is 3L=18 and L=6
we know that the width is half the length so W=1/2(6) so W=3

4 0

3 years ago

Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ

Ahat [919]

Answer:

D. $f(x) = 2\cdot x^{2}-4\cdot x -16$

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

$4\cdot a -2\cdot b + c = 0$ (Eq. 1)

(4, 0)

$16\cdot a + 4\cdot b +c = 0$ (Eq. 2)

(0,-16)

$c = -16$ (Eq. 3)

Then,

$4\cdot a - 2\cdot b = 16$ (Eq. 4)

$16\cdot a + 4\cdot b = 16$ (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

$a - 0.5\cdot b = 4$ By Eq. 4 (Eq. 4b)

$a = 4 + 0.5\cdot b$

Then,

$16\cdot (4+0.5\cdot b) + 4\cdot b = 16$ (Eq. 4b in Eq. 5)

$64 + 12\cdot b = 16$

$12\cdot b = -48$

$b = -4$

The remaining coeffcient is:

$a = 4 + 0.5\cdot b$

$a = 4 + 0.5\cdot (-4)$

$a = 2$

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is $f(x) = 2\cdot x^{2}-4\cdot x -16$ . Thus, the right answer is D.

6 0

3 years ago

Check the answer that best describes the relationship between f(x) and x. (for example if f(x) is θ(x)θ(x) check that as your an

Anastasy [175]

Which course is this for? I feel like I may need a little more information, but the simplest explanation I can give given the question is:

f(x) is the value of a function f evaluated at the value x. The formal definition of a function is a particular set of rules that associates a particular value with another. For an analogy: you can think of f as a machine that takes in an input, transforms it according to a certain set of rules, and produces an output. In this analogy, x would be the input and f(x) would be the output.

5 0

3 years ago

Simplify -6√20+2√45+7√5 show Woking out to prove ans please

Dmitry_Shevchenko [17]

Answer:

$\sqrt{5}$