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enot [183]
3 years ago
14

4m+5+5m+40=180 Help!!!

Mathematics
2 answers:
juin [17]3 years ago
8 0
4m+5m+40+5=180
9M+45=180
9m=180-45
9m=135
M= 135/9
M= 15
OLEGan [10]3 years ago
4 0

First, let's put all of the variables together.

4m + 5m + 5 + 40 = 180.

Add them.

M is the same multiplier, so we can add 4 and 5 together to make 9m.

Add 5 and 40.

9m + 45 = 180.

From here, we can go two ways. I will show the first way, which is my personal  preference.

We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.

9m/9 = 1m

45/9 = 5

180/9 = 20

Plug it in--

m + 5 = 20.

Subtract the 5 from both sides to isolate m.

m = 15.

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Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t
Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

(AO)^2=(AD)^2-(DO)^2

x^{2}=5^2-3^2

x^{2}=25-9

x^{2}=16

Upon taking square root of both sides of our equation we will get,

x=\sqrt{16}

x=\pm 4

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

(OC)^2=(DC)^2-(DO)^2

Upon substituting our given values we will get,

y^2=10^2-3^2

y^2=100-9

y^2=91

Upon taking square root of both sides of our equation we will get,

y=\sqrt{91}

y\pm 9.539392

y\pm\approx 9.54

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

\text{The length of the longer diagonal}=x+y

\text{The length of the longer diagonal}=4+9.54

\text{The length of the longer diagonal}=13.54

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0
3 years ago
Pat wants to create s rectangular playpen for her dogs in her backyard. And estimates the dogs will need 600 square feet. She al
Ira Lisetskai [31]
I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:
x^{2} +30x-600=0
solving this quadratic equation you get a negative solution and a positive one that gives your result.

8 0
3 years ago
A scale on a map shows that 2 inches equals 25 miles how many inches on the map represents 60 miles?? I NEED HELP ASAP
irakobra [83]

Answer:

60 miles is equal to 4.8 inches.

Step-by-step explanation:

To find the answer to this question, we need divide 60 by 25 to find out how much to multiply 2 by so its equal.

60/25=2.4

2*2.4=4.8

60 miles is equal to 4.8 inches.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Abdullah expands (x - 3)2 and gets the answer x2 - 9. Describe what he has<br> done wrong.
solniwko [45]

Answer:

He squared the numbers inside without following the appropriate rule

Step-by-step explanation:

<u>what he should have done </u>

<u />(x-3)^2\\= x^2 - 2 *x*3+3^2\\= x^2-6x+9

4 0
2 years ago
The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
docker41 [41]
2,5 would be the answer
7 0
3 years ago
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