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3 years ago

I need help with these two questions please !

Mathematics

2 answers:

Lapatulllka [165]3 years ago

5 0

For the first question the answer is B. multiply 357.43 by 12 you'll get the answer $4,289.

son4ous [18]3 years ago

3 0

Answer:

the first own is C $392.20 no B

Step-by-step explanation:

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Best explained and correct answer gets brainliest!

Norma-Jean [14]

It would be C, because a straight line equals to 180 degrees, and since 3 is 86, and lines m and n are parallel, 180-86 = C.94. Hope this helps!

6 0

3 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:

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

4 0

3 years ago

Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for $12.65. Mary Ann bought 6 of each for $12.30.

sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65.
Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you $p=\frac{12.65-7d}{5}$ . Then, you can substitute that into Mary Ann's equation. This looks like $6\cdot \frac{12.65-7d}{5}+6d=12.3$ . Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.

3 0

2 years ago

If you invest $823 at an interest rate of 3 percent,how much money will you have in total afer nine years?

valentinak56 [21]

Answer:

$1,045.21

Step-by-step explanation:

7 0

3 years ago

If at least one of these two numbers is divisible by 6, then the product of these two numbers is divisible by 6. Neither of thes

lubasha [3.4K]

Answer:

(a)then the product of these two numbers is divisible by 6.

Step-by-step explanation:

If a and b are two integers where at least one of a or b is divisible by 6, the product ab will also be divisible by 6.

If, a is divisible by 6, a/6 = c (an integer).

Product of a and b, (ab)/6 = (a/6) X b =cb.

Likewise if b is divisible by 6, same rule applies.

We only need a term in the product to be divisible by an integer for the product to be divisible by the integer.

4 0

3 years ago