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Margarita [4]
3 years ago
6

You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

to construct a valid triangle? A. 8 centimeters B. 6 centimeters C. 4 centimeters D. 10 centimeters E. 2 centimeters Select all answersCorrect answers plezz
Mathematics
1 answer:
igomit [66]3 years ago
5 0

Answer: To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2.  First answer, 3^2+5^2=c^2.  Solve for c.  c=5.83.  The second answer, 3^2+b^2=5^2.  Solve for b.  b=4.

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Dan opened up his piggy bank and found a total of thirty-five coins, made up of nickels, dimes, and quarters. if he has five mor
Pani-rosa [81]
N + d + q = 35
0.05n + 0.10d + 0.25q = 6
n = d + 5

n + d + q = 35
0.05n + 0.10d + 0.25q = 6.....multiply by -4
----------------
n + d + q = 35
-0.20n - 0.40d - q = - 24 (result of multiplying by -4)
----------------add
0.80n + 0.60d = 11

0.80(d + 5) + 0.60d = 11
0.80d + 4 + 0.60d = 11
1.40d = 11 - 4
1.40d = 7
d = 7 / 1.40
d = 5 <==== there are 5 dimes

n = d + 5
n = 5 + 5
n = 10 <==== there are 10 nickels

n + d + q = 35
10 + 5 + q = 35
15 + q = 35
q = 35 - 15
q = 20 <=== there are 20 quarters


7 0
3 years ago
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle
aev [14]
Let the smaller number be x.
Let the bigger number be y.

\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y- 7 = 2x \tex{ ----- (2) } \end{cases}

Rearrange equation (2):
\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y = 2x + 7 \tex{ ----- (2) } \end{cases}&#10;


Sub (2) into (1):

4x + 3(2x + 7 ) = 31
4x + 6x + 21 = 31
10x + 21 = 31
10x = 10
x = 1

Sub x = 1 into (2):

y = 2x + 7
y = 2(1) + 7
y= 9

Answer: The two numbers are 1 and 9.

5 0
3 years ago
Read 2 more answers
Solve the proportion<br> 16/50 = x/156.25
yuradex [85]
The answer for this proportion is 50.
156.25 times 16 =2,500
2,500 divided by 50=50
X=50
4 0
4 years ago
Read 2 more answers
Please help me with both thank you
Zigmanuir [339]

Answer:

place of 9 is hundreds value of 9 is 900 place of 2 is hundred thousands and value is 200,000

Step-by-step explanation:

7 0
3 years ago
What would 2 to the exponent of 3 simplify to ?
mixas84 [53]

Answer:

8

Step-by-step explanation:

2*2=4

2*2=4

=8

8 0
3 years ago
Read 2 more answers
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