Please help !!!! will mark brainliest

The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units, w

lesya [120]

The length of side can be calculated as
<span>s = √40
= √4x10
= 2√10</span>

5 0

3 years ago

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cameron is 3 years old older than karlee. karlee is two years older than denise. the sum of cameron,karlee,and denise age is 49.

Mrac [35]

Subtract 5 (Cameron) and 2 (Karlee) from 49.

Why: Denise's age is basically the basic number. Karlee would be 2 years older, so subtract 2 from 49. You get 47. Cameron is 5 years older than Denise, so subtract 5. You get 42 and divide that by 3 since there are 3 people.

49 - 7 = 42

42 divide by 3 = 14

Check:

14 + 5 = 19

14 + 2 = 16

14 + 0 = 14

19 + 16 + 14 = 49

19 (Cameron) - 16 (Karlee) = 3 years older

16 (Karlee) - 14 (Denise) = 2 years older

19 (Cameron) - 14 (Denise) = 5 years older

Hopes this helps!

7 0

3 years ago

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at

netineya [11]

Answer:

f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

8 0

3 years ago

A line joins the point

Harrizon [31]

Intersection of the first two lines:

$\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}$

Multiply the first equation by 4 and the second by 5:

$\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}$

Subtract the two equations:

$(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1$

Plug this value for y in one of the equation, for example the first:

$5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1$

So, the first point of intersection is $(-1,-1)$

We can find the intersection of the other two lines in the same way: we start with

$\begin{cases}x=y\\x=3y+4\end{cases}$

Use the fact that x and y are the same to rewrite the second equation as

$x=3x+4 \iff 2x=-4 \iff x=-2$

And since x and y are the same, the second point is $(-2, -2)$

So, we're looking for a line passing through $(-1,-1)$ and $(-2, -2)$ . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be $y=x$