a shark dove under water.First he dove 8 5/6 yards below sea level. Then he came up 5 1/2 yards. Finally, he dove 6 1/4 yards deeper. What was the sharks depth then?

A:8 1/2 yards
B:15 1/24 yards
C:8 17/24 yards
D:8 7/12 yards

Answer:

2 feet

Step-by-step explanation:

By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.

Remember that the area of a rectangle of length L and width W is:

A = L*W

In this case, we know that the dimensions are:

Now, if we add a walkway of width x all around the garden, the new dimensions of the garden are:

Now with these dimensions, the area is 192 ft^2, then we can write:

192 ft^2  = (8ft + 2x)*(12ft + 2x)

Now we need to solve that for x:

192 ft^2 = 96ft^2 + 4x^2 + 40ft*x

0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x

0 = 4x^2 + 40ft*x - 96ft^2

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]

Notice that we have two solutions, but we only care for the positive one, so we take:

x = (-40ft + 56ft)/8 = 2ft

So the width of the walkway must be 2ft.

If you want to learn more about quadratic equations, you can read:

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Answer:

The formula for finding the surface area of a cube is SA = 6s2. If s = 4 cm, which THREE statements are correct

Step-by-step explanation:

Answer:

2^(5/2)

Step-by-step explanation:

2^0 = 1, so the given expression immediately becomes

 2^3

------------ = 2^(5/2)     (we subtract 1/2 from 3, obtaining 5/2)

 2^(1/2)

Answer:

That's alot of words, kinda hard to understand

Answer:

I think you can just write down something like: 1+1=2(to the power of 3)= 8+1= 9. And then you graph that!

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

no it's not.....

........

Answer:

no

Step-by-step explanation:

there should always be even number of 0 if it wants to be a perfect square.

3 * 3 =9

30 * 30 =900. .......(2 0's)

300 * 300 = 9000...(4 0's and so on)

9000 does not meet this criteria so it isn't a perfect square.

Answer:

See below for answers and explanations

Step-by-step explanation:

A) The midline would be the average of the high and low temperatures, therefore d=(44+26)/2=70/2=35. The amplitude would be the distance from the high and low temperatures to the midline. Since 44-35=9 and 35-26=9, then the amplitude is a=9.

B) The equation would be [tex]T=9sin(\frac{\pi}{12}x)+35[/tex]

Answer

you have to use distance formula witch is square root of y1,y2 and x1,x2 squared. after you use the formula you should get 6.4 as your answer

d=6.4

Step-by-step explanation:

Answer:

5 m

Step-by-step explanation:

Use the volume formula, V = lwh

Plug in the volume, width, and height, then solve for l (the length)

V = lwh

70 = (l)(2)(7)

70 = 14l

5 = l

So, the length of the rectangular prism is 5 m

Answer:

We have

Volume = 70 m³

Width = 2 m

Height = 7 m

Length = Volume/Width × Height

Length = 70/2 × 7

Length = 70/14

Length = 5 m

[tex] \\ [/tex]

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

To learn more about: volume of rectangular prism

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Answer:

80 per week

Step-by-step explanation:

1000-520= 480

480/6=80

Answer:

u have Isolate the variable by dividing each side by factors that don't contain the variable. and the correct answer is x=2.7442371

Step-by-step explanation:

Brainliest plz

Answer:

50

Step-by-step explanation:

replace the variable, 4(-3.75)+12-8(-3.75)+23=50

Answer:

5 first round questions

5 second round questions

Answer:

55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

your trying to make it equal, in order to do that you must do to the top what you did the bottom

11 = ?

20=100

to get from 20 to 100 you multiply by 5 so we multiply the top by 5 to make it equal

11/20x5/5=55/100

Given:

Last month sales = $900

Rate of commission = 20%

To find:

How much commission (in dollars) did she earn last month?

Solution:

We have, 20% rate of commission. So, the commission for the last month is equal to 20% of last month sales $900.

[tex]\text{Commission}=\dfrac{20}{100}\times 900[/tex]

[tex]\text{Commission}=20\times 9[/tex]

[tex]\text{Commission}=180[/tex]

Therefore, the commission for the last month is $180.

Answer:

$60

Step-by-step explanation:

Answer:

D let me know if you need explanation

Step-by-step explanation:

D

Step-by-step explanation:

the slope for the main equation is 2

to get the perpendicular equation

slope=-1/m

so slope=-1/2

when you break the slope at equation D

you will get -1/2

Answer:

I think your answer will be 21 cause you timeing the 3 by 7

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

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Answer:

Yellow

Step-by-step explanation:

Answer:

905in²

Step-by-step explanation:

Answer:

look it up because found the correct answer there

Step-by-step explanation:

Answer:

its 44

Step-by-step explanation:

because IRS 444 j utf d funk nhc ddh

Answer:

a B and c because there the shape of the big triangles

Answer:

Step-by-step explanation:

No they are not similar triangles.

In similar triangles, corresponding side will be in same ratio.

[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]

Corresponding sides are not in same ratio. So these are not similar triangles

Answer:

6053.28618448

no is the power of 6

Answer:

4784 to the power of 7

Step-by-step explanation:

i'm not sure if i interpreted what you wrote correctly, but if its ((4600*1.04)to the power of 7), then my answer would be correct.

if it was 4600*1.04 (where 1.04 would be to the power of 7), then the answer would be about 6053.28618, or 4600*26 to the power of 7/ 25 to the power of 7