All categories

2 years ago

The perimeter of the triangle shown is 412 meters. Find the length of each side.

Mathematics

1 answer:

Fudgin [204]2 years ago

7 0

Answer:

x meters= 35

5x meters= 175

6x - 8 = 202

Step-by-step explanation:

x + 5x + (6x - 8)= 412

12x - 8= 412

12x = 412 + 8

12x = 420

x= 35

5x = 35× 5

= 175

6x - 8= 6(35) - 8

= 210 - 8

= 202

You might be interested in

What is the probability of the complement of rolling a number less than 5 by using a six-sided die?

elena-14-01-66 [18.8K]

If 5 and less then D but if just less than 5 then B

6 0

3 years ago

Answer two questions about Systems A and B:

jeka57 [31]

Answer:

-Swap the order of the equations

-Yes

Step-by-step explanation: I just guessed

3 0

2 years ago

Ancient paintings were found on cave walls in South America. The Carbon-14 in the paintings was measured and was found to be 19%

balu736 [363]

Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)

Step-by-step explanation:

The exponential decay model for Carbon- 14 is given by the followig formula:

$A=A_{o}e^{-0.0001211.t}$ (1)

Where:

$A$ is the final amount of Carbon- 14

$A_{o}=$ is the initial amount of Carbon- 14

$t$ is the time elapsed (the value we want to find)

On the other hand, we are told the current amount of Carbon-14 $A$ is $19\%=0.19$ , assuming the initial amount of Carbon-14 $A_{o}=$ is $100\%$ :

$A=0.19A_{o}$ (2)

This means: $\frac{A}{A_{o}}=0.19$ (2)

Now,finding $t$ from (1):

$\frac{A}{A_{o}}=e^{-0.0001211.t}$ (3)

Applying natural logarithm on both sides:

$ln(\frac{A}{A_{o}})=ln(e^{-0.0001211.t})$ (4)

$ln(0.19)=-0.0001211.t$ (5)

$t=\frac{ln(0.19)}{-0.0001211}$ (6)

Finally:

$t=13713.717years$ This is the age of the paintings and the option that is nearest to this value is C. 13839 years

6 0

2 years ago

Please help. timed test.

Setler [38]

Answer:

18.75 ( Maybe , I am not sure )

Step-by-step explanation:

4 0

2 years ago

Indicate the equation of the line meeting the given conditions. Put the equation in standard form.

xxMikexx [17]

Answer:

x + y = 7

Explanation:

<u>slope formula</u>:

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

Find slope: given points: E(4, 3), F(6, 1)

$\sf slope \ (m) : \dfrac{1-3}{6-4} = -1$

Find Equation: $y - y_1 = m(x -x_1)$

$\sf y - 3 = -1(x - 4)$

$\sf y = -x + 4 + 3$

$\sf y = -x + 7$

$\sf x + y = 7 \quad (in \ standard \ form \ \rightarrow Ax + By = C)$

6 0

1 year ago

Read 2 more answers