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3 years ago

Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot that

Mathematics

1 answer:

coldgirl [10]3 years ago

4 0

Answer:

431.775 ft

Step-by-step explanation:

So basically we should first find the area of the rectangles which is 28 ft * 15 ft, which you get 420. Next for the semicircle, the diameter is 15 but we need the radius so you divide that by 2 to get 7.5 as the radius. Then u multiply 7.5 * π, or 3.14 to get 23.55. But since its a semicircle, or half a circle we divide 23.55 by 2 which is 11.775. Then we just add the results which is 420 ft and 11.755 ft to get a total area of 431.775 ft.

-Hope this helped!

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A partir del término general, calcular los 4 primerostérminos. (Considere que debe asignar

Scorpion4ik [409]

Answer:

$4,7,12,19,...$

Step-by-step explanation:

The question in English is:

From the general term, calculate the first 4 terms.

(Consider that you must assign values to the variable n)

we have

$b_n=n^2+3$

step 1

Calculate the first term

For n=1

$b_1=(1)^2+3=4$

step 2

Calculate the second term

For n=2

$b_2=(2)^2+3=7$

step 3

Calculate the third term

For n=3

$b_3=(3)^2+3=12$

step 4

Calculate the fourth term

For n=4

$b_4=(4)^2+3=19$

therefore

the first 4 terms are

$4,7,12,19,...$

4 0

3 years ago

What is the vertex of the graph of the function below? y = x2 + 8x + 12

Vera_Pavlovna [14]

Hello,

$The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is: \\ V=( -\frac{b}{2a},f(-\frac{b}{2a}) )$

That means that we must first obtain x, then we replace x in the function to get y, so:

$x=- \frac{b}{2a} \\ \\ x=- \frac{8}{2*(1)} \\ \\ \boxed{x=-4} \\ \\ Reeplacing \,\,x: \\ y=(-4)^{2} +8*(-4)+12 \\ y=16-32+12 \\ \boxed{y=-4}$

Answer: V=(-4 , -4)

5 0

2 years ago

One card is selected at random from a deck of card. Determine the probability that the card selected is not a 4

Ganezh [65]

Answer:

12/13

Step-by-step explanation:

A probability is the number of desired outcomes over the total number of outcomes.

Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.

First, find the number of desired outcomes, and put it over the total number of outcomes.

Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:

52 - 4 = 48

So out of the 52 possible outcomes, 48 are desired. Set up the fraction and

simplify:

48/52

/4 /4

= 12/13

7 0

3 years ago

PLEASE HELP ASAP!! WORDED QUADRATIC QUESTIONS!!!

Roman55 [17]

Answer:

x² - 5x = 14

x = -2 or x = 7

Step-by-step explanation:

x² - 5x = 14

x² - 5x - 14 = 0

(x+2)(x-7) = 0

x = -2 or x = 7

4 0

2 years ago

The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the func

Hunter-Best [27]

Answer:

A) (-5,7)

Step-by-step explanation:

Functions and Relations

A set of values A can have a relation with another set B as long as at least one element of A has at least one image in B. Functions are special relations where each element of A (the domain of the function) has one and only one image on B (the range of the function).

By looking at the options, we can see that x=9, x=-8, and x=-1 already have defined values in Y, so if we define another value for any of them the relation will stop being a function. The only possible choice to preserve the function is the option

$\boxed{A)\ (-5,7)}$

8 0

3 years ago