Joyce has 41 feet of chicken wire. There is 5 times that length of chicken wire in the

aev [14]

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial $x^{2}-10x+13$ . We can now use the quadratic formula to solve.

Remember that the quadratic formula is

$\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

Substitute the numbers from the equation into the formula.

$\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}$

Simplify:

$\frac{10+/-\sqrt{100-52} }{2}$

$\frac{10+/-\sqrt{48} }{2}$

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with $5+/-\sqrt{48}$ .

Hope this helps!

6 0

2 years ago

True or false: the value of 3pi/2 is a solution for the equation 2sin^2 x-sin x-1 =0

Ede4ka [16]

The answer would be true, because the 2 on the bottom of the fraction would cancel out the 2 in the equation.

6 0

3 years ago

If i raked 5/12 of grass and someone else raked 4/9 how much more needs to be raked

pashok25 [27]

To solve this problem, you can subtract the sum of 5/12 and 4/9 from 1. To find the sum of 5/12 and 4/9, you need to make them have common denominators.
5/12*3/3=15/36
4/9*4/4=16/36

Now add the two fractions.
15/36+16/36=31/36

Lastly, subtract the sum from 1.
1-31/36=5/36.

5 0

3 years ago

A skateboard ramp is 40 feet long and rises from the ground at an angle of 33 degrees. How tall is the ramp?

olga_2 [115]

Answer:

The ramp is 21.8 ft tall.

Step-by-step explanation:

If you convert this into a triangle, 40 ft is the hypotenuse, 33° is the angle next to the right angle (on the horizontal line) and we need to find how tall the ramp is, which will be x. It is very helpful to draw a picture.

We will use the sine ratio because, starting from the given degree of 33, we have the hypotenuse value and need to find the value opposite the degree:

$sine=\frac{opposite}{hypotenuse}$

Insert values:

$sin33=\frac{x}{40}$

Multiply 40 to both sides to isolate the variable:

$40(sin33)=40(\frac{x}{40})\\\\40*sin33=x\\\\x=40*sin33$

Insert the value of x into a calculator:

$x=21.7855614$

Round if necessary:

$x=21.8 ft$

Done.

6 0

3 years ago

María regala a su padre un best seller por su cumpleaños. Elige la encuadernación de tapas duras que tiene forma de prisma recta

iris [78.8K]

Answer:

<h2>María used only 792 square centimeters to cover the best seller.</h2>

Step-by-step explanation:

The volume of the best seller is about a rectangular prism, which is

$V= w \times l \times h$

Where $w$ is width, $l$ is length and $h$ is height.

In this case, we have

$w=12 \ cm\\l= 18 \ cm\\h= 6 \ cm$

Replacing values in the formula, we have

$V=12cm \times 18cm \times 6cm=1,296cm^{3}$

Now, according to the problem, 10% of paper covers the book, that means we need to find the suface area and then find the 90% of the paper missing. The formula for surface area is

$S=2wl+2lh+2hw$

Replacing values, we have

$S=2(12)(18)+2(18)(6)+2(6)(12)=432+216+144=792cm^{2}$

If 792 square centimeters is 10% of the total paper, then

$x=100\%\frac{792cm^{2} }{10\%} =7,920cm^{2}$

Therefore, there is 7,920 square centimeters of papers, but María used only 792 square centimeters to cover the best seller.

4 0

3 years ago