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2 years ago

13

A model is made for a sports car. The car measures 12 ft in length. The model is 10 inches in length. Write the ratio of car to

model in simplest form.

1 answer:

Tanya [424]2 years ago

3 0

6:5

basically 12/10
which then reduces. hope this helps :)

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How do I do this. I don’t understand how to move place values

Drupady [299]

For this case we must indicate the value of the following expression, expressed in scientific notation:

$(1.2 * 10^{-3}) * (1.1 * 10^{8}) =$

We have that for multiplication properties of powers of the same base, the same base is placed and the exponents are added:

$a ^ n * a ^ m = a ^ {n + m}$

Then, rewriting the expression we have:

$(1.2 * 1.1) * 10 ^{- 3 + 8} =\\1.32 * 10 ^ 5$

Answer:

$1.32 * 10 ^ 5$

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2 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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2 years ago

PLS HELP ME ASAP FOR 42!! (MUST SHOW WORK!!) + LOTS OF POINTS!! *no calculator* *best if show work on picture*

Tpy6a [65]

It's 2.5 bc it goes up by 2.5 everytime

4 0

2 years ago

Can someone help me with this?

Westkost [7]

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

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2 years ago

12-5x-4kx=y solve for x

Lana71 [14]

Hi there!

$12 - 5x - 4kx = y

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Factor out variable x 

x(-4k-5)=y-12

x = (y+12)/(4k+5)$

3 0

2 years ago