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11 months ago

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a diver starts out at 288 feet below the surface.she the swims upward 152 feet.use a signed number to represent the divers curre

nt depth

1 answer:

olga55 [171]11 months ago

8 0

We will have the following:

$(-288ft+152ft)=-136ft$

So, the diver's current depth is of 136 ft bellow the surface.

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Find the side length of triangle.

Llana [10]

Answer:

x=4

Step-by-step explanation:

Let's solve the equation:

3x+12=4x+8

12=4x-3x+8

12=x+8

12-8=x

4=x

x=4

The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

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3 years ago

Simplify: sin^2xcos^2x-cos^2x

shtirl [24]

Answer:

-cos^4(x)

Step-by-step explanation:

Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)

1-sin^2(x) = cos^2(x)

-1+sin^2(x) = -cos^2(x)

cos^2(x) (-cos^2(x))

Step 2: Factor out common terms cos^2(x)

cos^2(x) (sin^2(x)-1)

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2 years ago

Sarah has a garden. The four sides of the garden are made out of wood. The garden has four rows. In each row, there are three se

kaheart [24]

12, because 4 rows and 3 sections in each

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3 years ago

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su

Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

$y=2-x^2$

the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

Let the vertices on x axis by (p,0) and (-p,0)

Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

Now width = $2-p^2$

Area = l*w = $2(2p-p^3)$

Use derivative test

I derivative = $2(2-3p^2)$

II derivative = $-12p$

Equate I derivative to 0 and consider positive value only since we want maximum

p = $\sqrt{\frac{2}{3} }$

Thus width= $\sqrt{\frac{2}{3} }$

Length = $2\sqrt{\frac{2}{3} }$

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3 0

3 years ago

as the schools sign language interpreter kiran gets paid 35.50 for every parent-teacher conference that he attends. He also gets

yKpoI14uk [10]

<u>The interpreter attended </u><u>22 parent-teacher conference</u><u> and </u><u>5 school related assembly</u>

To solve this problem, we would write out two set of linear equations.

The data given on this problem are

parent-teacher conference = $35.50
school related assembly = $42
The total number of engagements = 27

Let x represent the number of parent-teacher conference

let y represent the number of school related conference

<h3>Equations</h3><h3> $x+y = 27...equation (i)\\35.50(x)+42y=991...equation(ii)$ </h3>

From equation (i)

$x+y = 27\\x = 27-y...equation(iii)\\$

Put equation(iii) into equation (ii)

$35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5$

Put y = 5 into equation 1

$x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22$

From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.

Learn more on linear equations here;

brainly.com/question/4074386

8 0

2 years ago

Read 2 more answers