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Lerok [7]
3 years ago
10

Rachel uses 75 inches of ribbon to make 4 bows. She uses the same amount of ribbon to make each bow. 1 foot = 12 inches 1 yard =

3 feet How many yards of ribbon will Rachel use to make 12 bows? Enter the answer in the box. yards​
Mathematics
1 answer:
olasank [31]3 years ago
5 0

Answer: 6.25 yards

Step-by-step explanation:

75 inches = 4 bows

To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.

75*3 is 225.

225 inches = 12 bows

225 inches is 6.25 yards. Hope this helps :)

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Answer:

200 sheets

Step-by-step explanation:

Divide 5,000 by 25 to get 200 sheets of paper per box.

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3 years ago
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What will be the new position of the given point (-2, -3) after reflection across
Anna007 [38]

Answer:

Step-by-step explanation: ads

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Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is the angle?
tatyana61 [14]

Answer:

Angle = Ф = cos^{-1}(0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

Step-by-step explanation:

Given vector r(t) = e^{t}cost i + e^{t}sint j

As we know that,

velocity vector = v = \frac{dr}{dt}

Implies that

velocity vector = (e^{t} cost - e^{t} sint)i + (e^{t} sint - e^{t}cost )j

As acceleration is velocity over time so:

acceleration vector = a = \frac{dv}{dt}

Implies that

vector a =

(e^{t}cost - e^{t}sint - e^{t}sint - e^{t}cost )i + ( e^{t}sint + e^{t}cost + e^{t}cost - e^{t}sint )j

vector a = (-2e^{t}sint) i + ( 2e^{t}cost)j

Now scalar product of position vector r and acceleration vector a:

r. a = . \\

r.a = -2e^{2t}sintcost + 2e^{2t}sintcost

r.a = 0

Now, for angle between position vector r and acceleration vector a is given by:

cosФ = \frac{r.a}{|r|.|a|} = \frac{0}{|r|.|a|} = 0

Ф = cos^{-1}(0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

4 0
3 years ago
What does -40x-7y=-5 equal to find Y
pickupchik [31]
The values x and y are determined when we use the substitution method.

y = x + 5

Apply eh value of y into the equation to solve for x. 

3x + y = 25

3x + x + 5 = 25

Combine like terms

3x + x = 4x

4x + 5 = 25
      -5     -5                               4x = 20

                                                 4x/4 = 20/4
                                                 x = 20/4 
                                                  x= 5

Now we know the value of x, and we need to solve for y.

y = x + 5
y = 5 + 5
y = 10
10 = 10

Now we know both of these values.

Answer:

x = 5
<span>y = 10</span>
8 0
3 years ago
Question 12 please, i cannot find the central angle. ​
8090 [49]

Answer:

Below.

Step-by-step explanation:

12.  That is a semicircle

The central angle is 180 degrees.

5 0
2 years ago
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