All categories

2 years ago

A square has a side of 400 feet. how many squares with a side length of 2 can compliantly cover this square

1 answer:

8 0

400*400=160,000 which is the area of the square

2*2=4 which is the area of the smaller square

160,000/4=40,000

40,000 of the smaller squares can fit inside the larger square

You might be interested in

the cost of renting a scooter is represented by 3j+5. Write and simplify an expression that represents the cost of renting 6 sco

wariber [46]

Simplified expression that represents the cost of renting 6 scooters is 18 j +30

<u>Step-by-step explanation:</u>

Given data:

The cost of renting of a scooter is represented by 3j +5

So, from that, we can say in general,

The cost of renting of n scooters is represented by

$n \times(3 j+5)$

But according to given, the value of n is 6. i.e. to find the cost for six number of scooters. We can calculate now as follows

So, the cost of renting of a scooter is represented by

$6 \times(3 j+5)=18 j+30$

3 0

2 years ago

Using the completing-the-square method, rewrite f(x) = x2 − 6x + 2 in vertex form.

Irina18 [472]

Answer:

f(x)=(x-3)^2-7

Step-by-step explanation:

Vertex form: f(x) = a(x-h)^2+k

x^2-6x+9+2=f(x)+9

(x-3)^2+2=f(x)+9

f(x)=(x-3)^2-7

8 0

3 years ago

Find all solutions of the equation in the interval [0, 2pi).

mina [271]

Answer:

x = 0 , π

Step-by-step explanation:

$-4 \sin x = 1 - cos^2 x$

Rewrite it by using the identity $\sin^2x + \cos^2x = 1$

$=> -4\sin x = \sin^2x$

Add 4sin x to both the sides.

$=> -4\sin x + 4\sin x = sin^2x + 4\sin x$

$=> \sin^2x + 4\sin x = 0$

Take sin x common from the expression in L.H.S.

$=> \sin x(\sin x + 4)=0$

Here , we can get two more equations to find x.

1) $\sin x(\sin x + 4)=0$

Divide both the sides by sin x

$=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}$

$=> \sin x + 4 = 0$

Substract 4 from both the sides.

$=> \sin x + 4 - 4 = 0 - 4$

$=> \sin x = -4$

$=> x = No \; Solution$

2) $\sin x(\sin x + 4)=0$

Divide both the sides by (sin x + 4)

$=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}$

$=> \sin x = 0$

$=> x = 0 \; , \pi$ over interval [0 , 2π).

5 0

2 years ago

What is the mean of the following data set?

worty [1.4K]

Answer:

Step-by-step explanation:

After adding them all together, we end up with 351. There are 12 numbers, so we do 351/12, getting 29.25.

6 0

2 years ago

Help this is urgent!!!

galina1969 [7]

c = pi times d so that would mean d divided by pi would be the diameter.

to find the radius you would then have to take the diameter and times it by 1/2 bc r = 1/2 times d

i hope this helps

3 0

2 years ago