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Illusion [34]
3 years ago
8

The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of

the rectangle in terms of w?
Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0
Answer:
perimeter = 6w + 5 units

Explanation:
Perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)

We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2

Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5

Hope this helps :)
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How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?​
Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0
3 years ago
Logan jarred 6 liters of jam after 3 days. How many days does Logan need if he wants to jar 8 liters of jam?
REY [17]

Answer:

4 days

Step-by-step explanation:

6 divided by 3= 2 liters per day

2,4,6,8

I hope it is right

5 0
3 years ago
Is 1/3 bigger than 1/2
daser333 [38]
No, 1/2 is bigger than 1/3 because:-

1/2 = 3/6
1/3 = 2/6

Compare

3/6 is larger, which means 1/2 is larger since they both equal each other. 

Answer: 1/2 is greater than 1/3
4 0
2 years ago
Read 2 more answers
Find the length of MN.<br> A) 7 <br> B) 25 <br> C) 32 <br> D) 39
MrRissso [65]

Step-by-step explanation:

Answer C)

Explanation:

MN + NP = MP

MP = 39

Therefore, 4(x + 5) + 2x + 1= MP

So, 4(x + 5) + 2x + 1= 39

(4x + 20) + 2x +1 = 39

So, (4x + 2x) + (20 + 1) = 39

6x + 21 = 39

Addition changes to Subtraction

So, 6x = 39 - 21

6x = 18

Multiplication changes to Division

x= 18/6

x=3

Therefore MN = 4(x + 5)

So, 4(3 + 5) = 4(8)

4(8) = 32

Therefore, MN = 32

Hope this helps!

3 0
3 years ago
I dont understand the problem
Roman55 [17]

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{ - 4 - ( - 4)}{ - 10 - 1}

m = 0

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

6 0
3 years ago
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