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TEA [102]
1 year ago
6

One leg of a triangle is 7 inches. another leg measures 5 inches. if the perimeter of the triangle is 19 inches, find the length

of the other side.

Mathematics
1 answer:
Setler79 [48]1 year ago
6 0

SOLUTION

A triangle has three sides. The sides of this triangle are 7 inches, 5inches and the unknown side.

Let the unknown side be x inches.

Perimeter is distance around a plane shape.

The perimeter of this triangle is 19,

\begin{gathered} \text{  That is the perimeter  1}9=7+5+x \\ 19\text{ = 12 }+x \\ x\text{ = 19 - 12 } \\ x\text{ = 7 inches } \end{gathered}

Therefore, the other side is 7 inches

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find the middle integer if the sum of the greatest and the least of the three consecutive integers is 82
allsm [11]
 <span>x= greatest 
x+2= least 

x + x + 2 = 82 

2x + 2 = 82 
-2 -2 

2x = 80 
---- ----- 
2 2 

x=40 

Check: 
x=40 
x+2=40+2=42 
x+1=40+1=41 
the middle integer is 41</span>
6 0
3 years ago
What is the third angle of a right triangle if one of the angles measures 42.6
Llana [10]

Answer:

112

Step-by-step explanation:

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5 0
3 years ago
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Anyone who knows this mathematic question.to help please. Am giving the brainliest.
Oksana_A [137]
Log of 2x cube - log x = log 16 +log x

Use the identities!

Log 2x square = log 16x
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According to logarithms x can’t be 0 so it’s 8
5 0
3 years ago
A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
An official NHL hockey puck is shaped like a cylinder with a diameter of 3 inches and a volume of 7.1 cubic inches. What is the
Dima020 [189]

H=1in

You would need to use the equation V= pie times radius squared times height. Since it gives you the diameter, you would need to divide 3 by 2 to get 1.5. So now you would plug in 7.1=pie×1.5(squared)×h

Now solve the equation to get 1in.

And you can check this answer by using this same equation to plug in pi×1.5 (squared)×1 and you will get 7.1 as your volume.

8 0
3 years ago
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