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3 years ago

Find the area of the figure to the nearest thousandth. Use 3.14 for π.

Mathematics

1 answer:

RoseWind [281]3 years ago

4 0

Answer:

The area of the figure is $236.625\ ft^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of rectangle plus the area of semicircle

The area of the figure is equal to the area of a circle plus the area of rectangle

$A=\pi r^{2}+bD$

we have

$r=15/2=7.5\ ft$ ----> the radius is half the diameter

$D=15\ ft$

$b=4\ ft$

substitute the values

$A=(3.14)(7.5^{2})+4*(15)=236.625\ ft^{2}$

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Which quadratic function has Vertex (-1,4) and passes through (4,19) HELP

hichkok12 [17]

Answer:

$f(x)=\frac{3}{5}(x+1)^2+4$

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

$f(x)=a(x-h)^2+k$

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

$f(x)=a(x+1)^2+4$

The parabola also passes through (4,19) hence it must satisfy its equation.

$19=a(4+1)^2+4$

$19-4=a(5)^2$

$15=25a$

We divide both sides by 25 to get:

$a=\frac{15}{25}= \frac{3}{5}$

Hence the quadratic function is:

$f(x)=\frac{3}{5}(x+1)^2+4$

6 0

3 years ago

Given the below sequence:

kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a) the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

$t_{n} = a+(n-1)d$

First term is a = -1 and difference is d = -2

finding fifth term is

$t_{5} = -1 +(5-1)(-2)$

$t_{5} = -1-8 =-9$

finding sixth term is

$t_{6} = -1 +(6-1)(-2)$

$t_{6} = -1-10 =-11$

finding seventh term is

$t_{7} = -1 + (7-1)(-2)$

$t_{7} = -1 -12 =-13$

The next three terms are -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

$t_{n} = a+(n-1)d$

a= -1 and d =-2

find 27 t h term :-

$t_{27} = -1 + (27-1)(-2) = -1-52=-53$

6 0

3 years ago

The golden ratio is a solution to a quadratic equation.

Crank

Answer:

Below.

Step-by-step explanation:

a. Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25) (We only take the positive root).

Φ = 0.5 + √(1.25)

b. I used Completing the square.

c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

6 0

3 years ago

What is the domain of the function shown in the graph below?

Maksim231197 [3]

Answer:

Domain: (+∞, -∞)

Step-by-step explanation:

Domain = x value

hope it helps

6 0

3 years ago

tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the

zaharov [31]

Answer: d

Step-by-step explanation:

y is the price of the ticket x is the number sold

3 0

3 years ago

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