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Aneli [31]
3 years ago
8

Determine whether 90.5m .92m is equivalent to each of the following expressions.

Mathematics
1 answer:
xenn [34]3 years ago
7 0
I’m not good at mall I wish I could help .
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Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th
Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

3 0
2 years ago
Solve this equation. 25) v - 6(4v + 6) = -82
grin007 [14]

Answer:

v = 2

Step-by-step explanation:

Hi there! I'm glad I was able to help you solve this equation!

Let's start by simplifying both sides of the equation. It's easier to solve it this way!

v - 6 (4v + 6) = -82

Distribute:

v + (-6) (4v) + (-6) (6) = -82

v + -24v + -36 = -82

Combine 'like' terms:

(v  -24v) + (-36) = -82

-23v - 36 = -82

Next, you'll want to add 36 to both sides of the equation.

-23v-36 + 36 = -82 + 36

-23v = -46

Finally, divide both sides by -23.

\frac{-23v}{-23} = \frac{-46}{-23}

v = 2

I hope this helped you! Leave a comment below if you have any further questions! :)

7 0
3 years ago
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to
Alex Ar [27]

Answer:

About 376.99 cubic inches

Step-by-step explanation:

Cylinder has a volume of:

V=\pi r^2h

Where

V is the volume

r is the radius

h is the height

We need to find the volume of the cylinder, then multiply that answer by 3/4 to get the solution to this problem. First, the full volume of the cylinder.

Given

r = 4

h = 10

So,

V=\pi r^2h\\V=\pi (4)^2 (10)\\V=502.65

Now, we multiply by 3/4:

502.65*\frac{3}{4}=376.99

Mary should be vase to 376.99 cubic inches

4 0
3 years ago
Which statements are true according to the order of operations? Choose exactly two answers that are correct.
LiRa [457]
<span>b. 4+12÷2=4+6=10
c. (20–5)•3=15•3=45</span>
6 0
3 years ago
A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5
Oxana [17]

Answer:

L(x) = 11 - 2x

W(x) = 8.5 - 2x

V(x) = 4x³ - 39x² + 93.5x

Step-by-step explanation:

If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.

FORMULA FOR LENGTH:

Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:

<u>L(x) = 11 - 2x</u>

FORMULA FOR WIDTH:

Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:

<u>W(x) = 8.5 - 2x </u>

FORMULA FOR VOLUME:

Volume is the product of length, width and time:

V(x) = L(x)*W(x)*H(x)

Height must be equal to the side folds which are equal to length of the side of square = x:

H(x) = x

Therefore,

V(x) = (11 - 2x)(8.5 - 2x)(x)

V(x) = (93.5 -22x -17x + 4x²)(x)

<u>V(x) = 4x³ - 39x² + 93.5x</u>

8 0
3 years ago
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