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MAXImum [283]
3 years ago
12

The length of a rectangle is four time the width. if the area of the rectangle is 16 square inches, what is the length and the w

idth
Mathematics
1 answer:
netineya [11]3 years ago
4 0
\bf \textit{area of a rectangle}=l\cdot w\qquad 
\begin{cases}
l=length\implies 4\cdot w\implies 4w\\
w=width\\
--------------\\

area=16
\end{cases}
\\ \quad \\
16=(4w)w\impliedby \textit{solve for "w"}
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What is the midpoint of the segment of the segment that would be created between points L and N on a graph?
il63 [147K]

Option A:

Midpoint of LN = (2, 3)  

Solution:

In the given graph we can find the coordinates of L and N.  

Coordinates of L = (–2, 3)

Coordinates of N = (6, 3)

Here, x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3

Let us find the midpoint of the segment LN.

<u>Midpoint formula:</u>

$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

                \begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}

Midpoint of LN = (2, 3)  

Option A is the correct answer.  

Hence the coordinates of the midpoint of the line segment LN is (2, 3).

6 0
3 years ago
Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8
Rudiy27

Correct option is D) -0.6.

<u>Step-by-step explanation:</u>

We have sin\alpha  = -0.8 . Also, we know that cos\alpha  = \sqrt{1- (sin\alpha } )^{2} . Let's find out value of cos\alpha  using above formula:

cos\alpha  = \sqrt{1- (sin\alpha } )^{2}

⇒ cos\alpha  = \sqrt{1- (sin\alpha } )^{2}

⇒ cos\alpha  = \sqrt{1- (-0.8 } )^{2}

⇒ cos\alpha  = \sqrt{1- (0.64 } )^{}

⇒ cos\alpha  = \sqrt{0.36}

⇒ cos\alpha  = 0.6

But we know that cos\alpha is negative in third quadrant , Therefore cos\alpha  = -0.6.

Hence, correct option is D) -0.6.

3 0
3 years ago
Each day, a salesperson earns $25 plus 5% of their total sales for the day. The salesperson's goal is to earn more than $50 on T
Lera25 [3.4K]

The true statement about the inequality is that Total sales per day is greater than $250

<h3>How to write and solve inequality equation?</h3>

  • Total sales per day = x

  • Amount earned per day = 25 + 5% of x

= 25 + 0.05x

  • Thursday = 4th day of the week

The inequality:

4(25 + 0.05x) > 50

100 + 0.2x > 50

100 - 50 > 0.2x

50 > 0.2x

x > 50/0.2

x > $250

Learn more about inequality:

brainly.com/question/25275758

8 0
2 years ago
SOMEBODY HELP PLEASEEE it’s due at 11:59 and it’s 11:24 right now
Vaselesa [24]

Answer:

I think its A but I could be wrong, I say this because is the most logical. I think its a 70% chance im right.

Step-by-step explanation:

Hope you get an A!

5 0
3 years ago
Read 2 more answers
Y = x + 2<br> 2x - y = -4
mrs_skeptik [129]
1.) X=-2

2.) 2x-y+4=0


Hope this helps! :))
3 0
3 years ago
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