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amid [387]
3 years ago
5

$0.78 less than the normal price Right now it you buy 7 of them it Cookies are on sate! Today each cookie costs will only cost y

ou $2.80 Write an equation to determine the normal price of each cookie (c)
Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
Let p = the normal price.
Then 7(p - .75)= 2.80
Divide by 7: p - .75 = .40 and p = 1.15
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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
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
matrenka [14]

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

6 0
2 years ago
Please help me solve these!!!
Marat540 [252]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
A circle is inscribed in a square. A point in the figure is selected at random. Find the probability that the point will be in t
hram777 [196]
P of selecting point on the shaded region   = shaded area/whole area 
<span>P( selecting point on the shaded ) = ( the four shaded circles ) / the whole square </span>
<span>P of  selecting point on the shaded  = ( 4 * ( π * r^2 ) )/ x^2 </span>
<span>P of selecting point on the shaded = ( 4 * ( π * (x/4)^2 ) )/ x^2 </span>
<span>P of  selecting point on the shaded  = ( 4 * ( π * x^2/16 ) )/ x^2 </span>
<span>P of  selecting point on the shaded = ( π * x^2/4 )/ x^2 </span>
<span>P of  selecting point on the shaded = x^2( π/4 )/ x^2 </span>
<span>P( selecting point on the shaded ) = π/4 ≈ 0.7854 ≈ 79%
 =80% 
D is right option hope this helps</span>
4 0
3 years ago
Estimate the area of the irregular shape. Explain your method and show your work
shepuryov [24]

Answer:

20 cm2 is the answer brooooooooooo

8 0
3 years ago
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