All categories

2 years ago

On a map, the distance between the cities of Maryville and LalaLand is 6 and 2/3 inches.

Mathematics

1 answer:

DanielleElmas [232]2 years ago

7 0

400 miles ! just multiply 6 and 2/3 inches by 60 and you’ll get ur answer !!

You might be interested in

The base of a circular fence with radius 10 m is given by x = 10 cost, y = 10 sin t. the height of the fence at position (x, y)

antiseptic1488 [7]

The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...

... C = 2πr

... C = 2π·(10 m) = 20π m

The height as a function of angle (t) is found by substituting for x and y.

... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)

The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.

Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be

... (20π m)·(4 m) = 80π m²

The amount of paint required to cover both sides of the fence is

... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L

_____

You can work out the integral for area as a function of t. When you do, you will find it gives this same result.

5 0

2 years ago

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

3 years ago

A newspaper reported that in one year the United States imported goods from China worth a total of 385 billion dollars. What is

8_murik_8 [283]

Answer:

I dont known this one is hard

4 0

3 years ago

The sum of two integers with different signs is 8. Give two possible intergers that fit this description

choli [55]

10+ (-2)= 8 9+(-1)=8

5 0

2 years ago

Read 2 more answers

Show that sinxtanx=1-cos^2x/cosx

yawa3891 [41]

LHS: = $\sin x \tan x = \frac{\sin x \sin x }{\cos x} = \frac{\sin^2 x}{\cos x}$ (using $\tan x = \frac{\sin x}{\cos x}$ )

We know $\sin^2x + \cos^2x = 1 \Rightarrow \sin^2x=1-\cos^2x$ so we can replace the sin²x in the LHS expression as follows

$\frac{\sin^2x}{\cos x} = \frac{1-\cos^2x}{\cos x}$ which is the RHS.

7 0

2 years ago