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3 years ago

12

A semicircle and a quarter circle are attached to the sides of a rectangle as shown. What is the area of this figure? Use 3.14 f

or pi. PLEASE HELPPP!!

1 answer:

Serjik [45]3 years ago

5 0

Answer:

need picture but i was in same quiz 109

Step-by-step explanation:

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If P(n) and Q(n) are polynomials of degree j and k, respectively, then the series

Naya [18.7K]

Answer:

converges

Step-by-step explanation:

well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0 and k = 8. Since 0 < (8-1)

0 < 7 the series converges

6 0

1 year ago

What is the product? - 2 5 5 [42] 7 22 18 ( 22 18 1 18

AysviL [449]

Answer:

the answer is D.

Step-by-step explanation:

multiply each row in the first matrix by each column in the second matrix.

[4*-2+2*7 4*5+2*-1]

simplify each element of the matrix by multiplying out all the expressions.

[6 18]

this matrix is already in the most simplified form.

[6 18]

3 0

3 years ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

A square field has a perimeter of 44 meters.Find the length of one side of the field

riadik2000 [5.3K]

11 Meters because squares have 4 even sides. So you divide 44 by 4 and you get 11. This means every side is 11 meters long.

6 0

2 years ago

I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five studen

lianna [129]

Total student are 20

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3 years ago