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Firlakuza [10]
3 years ago
6

What ratio correctly compares the measurements 36 in. to 4 ft? Drag and drop the appropriate numbers into the boxes to show the

ratio in the simplest form.
Mathematics
1 answer:
denis23 [38]3 years ago
4 0
36:4 you simplify by dividing each number by 4 so you have 9:1
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An acrobat is on a platform that is 25 feet in the air. She jumps down in the initial velocity of 4 feet/seconds . Write the qua
Alenkasestr [34]

Answer:

a) h(t) = -16t²+ 4t + 25

b) Therefore it would take her 1.25 seconds to land safely in the net.

Step-by-step explanation:

The equation to be used is given as

h(t) = –gt²+ vt + S(t)

where g = force of gravity and because our question is in feet's = 16

V= Initial velocity

h = height

S = distance

a) The quadratic function for the above question

Using the formula

v = Initial velocity in the question = 4ft/s

S(t) = 25ft in the air

Hence the Quadratic function is

h(t) = –gt²+ vt + S(t)

h(t) = -16t²+ 4t + 25

b) If the safety net is placed 5 feet above the ground, how long will it take her to land safely in the net?

We are to find the time(t)

We can calculate this by using the quadratic function we derived in question (a)

The quadratic function is

h(t) = -16t²+ 4t + 25

Where, the height (h) = 5 feet above the ground

5= -16t² + 4t + 25

-16t² + 4t + 25 -5 = 0

-16t² + 4t + 20 = 0

Using the quadratic equation formula of

x = -b ± √b² -4ac /2a

where the quadratic equation =

ax² + bx + c = 0

a = -16 , b = 4 , c = 20

x = -16 ± √4² - 4×-16×20 / 2×-16

x = -1 or ,1.25

Therefore it would take her 1.25 seconds to land safely in the net

6 0
3 years ago
Pizza World has a specialty cheese pizza that can be cut into 10 slices, and they have a specialty pepperoni pizza that can be c
dedylja [7]
16/10=1.6 so the smallest number of combos would be 1.
3 0
3 years ago
The elements of Matrix C are shown below.
sergeinik [125]

The matrix that represents the matrix D is \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

<h3>How to determine the matrix d?</h3>

Given the elements of the matrix C.

The matrix c is represented by its rows and columns element, and the arrangements are:

C11 = 3    C12 = 1   C13=-9   C14 = 8

C21 = 2   C22=2   C23 =0   C24 = 5

C31 = 16   C32 = 1  C33=-3   C34=11

Remove the matrix name and position

3  1  9  8

2 2  0  5

16  1  -3  11

Represent properly as a matrix:

C = \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

Matrix C equals matrix D.

So, we have:

D = \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

Hence, the matrix that represents matrix D is \left[\begin{array}{cccc}3&1&-9&8\\2&2&0&5\\16&1&-3&11\end{array}\right]

Read more about matrix at:

brainly.com/question/2456804

#SPJ1

7 0
2 years ago
4/10 + 3/16 = what is the answer of the addition fraction
natka813 [3]

Answer:

4/10+3/16=47/80

Step-by-step explanation:

(4/10×8/8)+(3/16×5/5)=?

32/80+15/80=?

32+15/80=47/80

3 0
2 years ago
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented
IrinaVladis [17]

It is given to us that the velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table (which is not given to us). The acceleration due to gravity is the constant of variation. Now, we know, from basic physics that the value of the acceleration due to gravity in the SI unit is 9.8 m/s^2. Therefore, the second option is the correct option.

7 0
3 years ago
Read 2 more answers
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