Answer:
See attachment for plot
Step-by-step explanation:
Given

--- increment in the rate
First, we need to model the new rate
A linear equation is:

Where

Compare
and
. we have:

The above represents the previous rate.
The new rate:

Rewrite as:



So, the model is:


<u>The plot at 1 and 2 minutes</u>
When 

When 

So, we have:


<em>Whether she moves backwards or forward, the distance covered remains the same</em>
<em>See attachment for plot</em>
Let's assume
length of rectangle =L
width of rectangle =W
You enclose 3 sides of the garden with 40 feet of fencing
so, we get

now, we can solve for L

we know that
area of rectangle is


now, we can plug

now, we can solve for W

we can use quadratic formula


we can take anyone value ..because both are giving positive value
first dimensions:

now, we can find L


so, length is 34.142feet
width is 2.929 feet
Second dimensions:

now, we can find L


so, length is 5.858feet
width is 17.071 feet
Answer:
m∠1 = 52°
m∠3 = 52°
Step-by-step explanation:
Step 1:
Since b is a straight line and is transversed by line m and we are given m∠6 = 128°, we can find m∠5, which is 180 - m∠6, giving us 52° for ∠5.
Step 2:
Because a and b are parallel, m∠5 and the m∠1 are the same, so we have m∠1 = 52° as one of our answers needed
Step 3: Because ∠3 is vertical to ∠1, we can use the vertical angles theory and say that m∠1 is equal to m∠3. Therefore, m∠3 = 52°
Answer:
8820
Step-by-step explanation:
Prime factorization of 294,
→ 2 × 3 × 7 × 7
Prime factorization of 1260,
→ 2 × 2 × 3 × 3 × 5 × 7
LCM of 294 and 1260,
→ 2 × 2 × 3 × 3 × 5 × 7 × 7
→ 8820
Hence, the LCM is 8820.