kylie worked 40 hours this week. She worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?

Which ratios approximate pi ()?

kramer

9514 1404 393

Answer:

A: 66/21

E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

A: 66/21 = 22/7 = 3 1/7

B: 60/20 = 3

C: 21/7 = 3

D: 45/15 = 3

E: 22/7 = 3 1/7

___

Comment on pi approximations

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

5 0

3 years ago

I can’t figure out how to use the zeros in the polynomial. Please explain

Temka [501]

Answer:

a) $P (x) = (x + 3) (x-1) (x-4)$

b) $P (x) = (2x + 5) (5x - 4) (x-6)$

c) $P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

Step-by-step explanation:

For the question a * you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

$P (x) = (x + 3) (x-1) (x-4)$

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

For question b, do the same procedure.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

$x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0$

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

$x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0$

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

$x = 6\\\\(x-6) = 0$

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

$P (x) = (2x + 5) (5x - 4) (x-6)$

Finally for the question c we have

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

$x = -3\\\\(x-3) = 0$

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

$x = 1\\\\(x-1) = 0$

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

$x = 4\\\\(x-4) = 0$

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

$x = -1\\\\(x + 1) = 0$

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

$P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

8 0

3 years ago

Eloise's rabbit cage is shape like a rectangular prism. The cage has a height of 28 inches and a volume of 8,680 cubic inches. E

Tems11 [23]

Answer:

310 inches²

Step-by-step explanation:

Given: A rectangular prism cage has a height of 28 inches.

Volume of prism is 8680 cubic inches.

We know the area of base of rectangular prism is equal to the area of rectangle.

∴ Lets find out the lenght and width of rectangular prism.

Volume of rectangular prism= $w\times l\times h$

Where, w is width

l is length

h is height.

Now, putting the value in the formula of volume.

⇒ $8,680= w\times l\times 28$

cross multiplying

⇒ $wl= \frac{8680}{28}$

∴ wl= 310 inches²

As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.

Area of rectangle= $wl$

∴ Area of rectangle= 310 inches²

Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.

4 0

4 years ago

Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet

V125BC [204]

Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.

4 0

3 years ago

Find the GCF of 39 and 52.

natka813 [3]

First factor each number

39=3*13

52=4*13

Now find the greatest common factor, which in our case is 13.

Answer: 13

4 0

3 years ago

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