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2 years ago

11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)

Mathematics

1 answer:

Brut [27]2 years ago

7 0

3 inside angles need to = 180, since it is a right triangle, the bottom left angle = 80 so the other 2 angles need to equal 90 degrees

so you have:

(8x+2) + (9x+3) = 90

combine like terms to get:

17x+5 = 90

subtract 5 from both sides:

17x = 85

divide both sides by 17

x = 85/17 = 5

x = 5

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In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t an

Alenkasestr [34]

Answer: 693 years

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

$A(t) =A_0e^{kt}$

k = rate constant

t = time taken for decomposition = 1

$A_0$ = Initial amount of the reactant

$A_t$ = amount of the reactant left = $A_0-\frac{0.1}{100}\times A_0=0.999A_0$

$0.999A_0=A_0e^{k\times 1}$

$0.999=e^k$

$k=-0.001year^{-1}$

for half life : $t=t_\frac{1}{2}$

$A_t=\frac{1}{2}A_o$

Putting in the values , we get

$\frac{1}{2}A_0=A_0e^{-0.001\times t_\frac{1}{2}$

$t_\frac{1}{2}=693 years$

Thus half life of this isotope, to the nearest year is 693.

8 0

3 years ago

The ratio of trucks to cars in a parking lot was 5 to 2. How many trucks were in the lot if there where 18 cars?

Elena L [17]

90 trucks- for every 2 cars there are 5 trucks

6 0

2 years ago

Solve.

Serhud [2]

Answer:

Step-by-step explanation:

12.9 + 10.2x = 35.1

10.2x = 35.1 - 12.9

10.2x = 22.2

x = 22.2/10.2

x= 222/102 = 111/51

$x= 2\dfrac{9}{51}$

6 0

2 years ago

Read 2 more answers

What expression is equivalent to 4/2 times 4/3

In-s [12.5K]

Answer:

8/3

Step-by-step explanation:

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2 years ago

In the right triangle ABC shown, c=17ft and angle A=30 degrees Determine side a

jekas [21]

Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: $a = 8.5\sqrt{3}$

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

From the information given, we can build the following relation:

cos(A) = a/c.

$\frac{\sqrt{3}}{2} = \frac{a}{17}$

$a = \frac{17\sqrt{3}}{2}$

$a = 8.5\sqrt{3}$

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0

1 year ago