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iogann1982 [59]
3 years ago
7

Find the distance between the points (4, 7) and (2, 2)

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

5.38516

Step-by-step explanation:

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About 36,100,000 households in the U.S. have cats and about 43,300,000 households have dogs. About how may more households dogs
Svetllana [295]
Theres about a 7,200,000 difference between household dogs vs household cats 
5 0
3 years ago
Lowering powers write in terms of first power of cosine. Cos^6
yaroslaw [1]

The main identity you need is the double angle one for cosine:

\cos^2x=\dfrac{1+\cos2x}2

We get

\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8

Expand the numerator to apply the identity again:

\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8

\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8

\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x

Finally, make use of the product identity for cosine:

\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2

so that ultimately,

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x

\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x

4 0
4 years ago
Right Thangles & Pythagorean Theorem
weqwewe [10]

The ship Y traveled 240 miles which is option C).

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

It is instructed to use Right Triangles & Pythagorean Theorem  in order to find the solution.

So, the right angle has three sides namely, the base, the height and the hypotenuse.

The given data are,

Two ships leave port at the same time.

  • Ship X is heading due north ⇒ Take it as "height" of the right triangle.
  • Ship Y is heading due east ⇒ Take it as "base" of the right triangle.

They were 400  miles apart after 8 hours which forms the "hypotenuse" of the right triangle.

  • Hypotenuse = 400 miles.

Ship X had traveled 320 miles from the port in 8 hours. Therefore,

  • Height = 320 miles.

<u>To find the miles ship Y traveled in 8 hours :</u>

You can easily find the base of triangle which gives the number of miles traveled by ship Y in 8 hours.

<u>Using Pythagorean Theorem, you can find the base : </u>

The Pythagorean triplets is (3,4,5).

We know that, in a right triangle, hypotenuse is the largest side of all the three sides.

The hypotenuse is 400 miles ⇒ 5×(80) = 400

The height is 320 miles ⇒ 4×(80) = 320

Then, the base will be 3×(80) = 240 miles.

Therefore, the ship Y traveled 240 miles in 8 hours.

6 0
3 years ago
The function h(x) is given below.
viva [34]

The inverse function will be h⁻¹(x) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

<h3>What is function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given function is:-

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

The inverse function is given as:-

h(x,y) = h⁻¹( y,x )

So the inverse function will be:-

h⁻¹( x, y ) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

Therefore  inverse function will be h⁻¹(x) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

To know more about function follow

brainly.com/question/2833285

#SPJ1

3 0
2 years ago
Can someone help me with this?
yulyashka [42]

Answer:

Step-by-step explanation:

We need to find the error first.

We can do this by subtracting, to find the difference

2.4-1.9 = 0.5

the difference, or error, is 0.5

Now we find a percentage that describes how much more 2.4 is than 1.9

We can create an equation to solve this

2.4 = 1.9 Times x

Now we need to find the value of x

x= 1.2632

now we double check

1.9 Times 1.2632 = 2.4

Now we round to a whole number

1.2632 = 1

To convert a number to a percentage, you need to bring the number over a decimal point.

so 1 becomes .1, or 10 percent

4 0
2 years ago
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