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3 years ago

The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

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A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop

lesantik [10]

Answer:

The number of distinct arrangements is 12600.

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

n₁, n₂, n₃ ... is the number of arrangements for each object
n is the number of objects
nₓ is the number of arrangements for the last object

In this case

n₁ is the identical copies of Hamlet
n₂ is the identical copies of Macbeth
n₃ is the identical copies of Romeo and Juliet
nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)

= 12600 ways

Thus, the number of distinct arrangements is 12600.

4 0

3 years ago

My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

To have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?

Mariulka [41]

The answer is B
Because if you use your calculation right you would end up with 16,463

7 0

3 years ago

Read 2 more answers

I just need the answer

kumpel [21]

Answer:

it's B ;)

Step-by-step explanation:

A line segment has two endpoints; that is, it has a starting point and an ending point, much like a dead-end street. Bisector means to divide, not just in two, but in halves, or two equal parts. Therefore, a segment bisector is a point, a line, a ray, or a line segment that bisects another line segment.

6 0

3 years ago

Find the value of (+328.62) – (+98.6). A. 230.02 B. 427.22 C. –427.22 D. –230.02

Jet001 [13]

Answer:

Option A - $(+328.62)-(+98.6)=230.02$