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4 years ago

What's 42/66 in simplest form

Mathematics

2 answers:

Deffense [45]4 years ago

7 0

42/66 divide both sides by 2, which = 21/33, then divide both sides by 3, which = 7/11

Finger [1]4 years ago

4 0

The answer is 7/11
First, cut 42/66 in half to get 21/33
Next, divide 21 and 33 by three to get 7/11

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What postulate or theorem can be used to justify that triangle CZB = triangle CXA? B.ASA C.SSA D.AAS

BaLLatris [955]

To justify that triangle CZB = triangle CXA, we have to use the AAS congruence theorem.

If two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent.

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3 years ago

Assume there is probability of 0.36 that a U.S. soldier who served in the last decade has served in Iraq. If a soldier served in

taurus [48]

Answer:

0.440559

Step-by-step explanation:

To find the probability of having a soldier from Iraq that had lung problems, we multiply the 2 probabilities, so 0.36*0.14 = 0.0504

The probability of a soldier serving not in Iraq and having lung problems is 0.64 (serving in Iraq is 0.36, so not serving in Iraq is 1 - 0.36 = 0.64) times 0.1 = 0.064.

If we sum up these two probabilities, we have the probability of a soldier having lung problems (0.0504+0.064 = 0.1144).

Now, to know the probability of a soldier with a lung problem having served on Iraq, we divide the probability of serving in Iraq and having lung problems (0.0504) by the probability of having lung problem (0.1144):

0.0504/0.1144 = 0.440559

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4 years ago

Use the fundamental theorem of calculus to evaluate the following definite integral. Integral from 3 to 4 (2 x squared plus 9 )d

oksian1 [2.3K]

Answer:

Theorem of calculus

Step-by-step explanation:

Take the integral

$\int\limits^3_4 (2x^2+9)dx$

Integrate the sum term by term and factor out constants

$= 2 \int\limits^4_3 x^2 dx + 9 \int\limits^4_3 1 dx$

Apply the fundamental theorem of calculus.

The antiderivative of x^2 is x^3/3, while for a constat is x

$= \frac{2x^3}{3} + 9x dx$

Evaluate the limits

$= (2*\frac{(4)^3}{3}+9*4)-(2*\frac{(3)^3}{3}+9*3)$

$=\frac{101}{3}$

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4 years ago

Read 2 more answers

ASAP HELP! Look how much im offering, congruent shapes.

dmitriy555 [2]

Answer:

D. 7.5 inches

Step-by-step explanation:

So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.

So, 18/6 = 3

Big:small = 3:1

So, using this we can make an equation to find AD.

Let's say ED=x.

AD is basically ED (x) + AE (5).

Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.

So, $\frac{x+5}{x}$ =3.

Multiply both sides by x, getting x+5 = 3x.

Subtract the x: -x -x

And you get 5=2x, giving you 2.5 = x.

However, we're not done yet, as 2.5 is the value of ED, but we need AD.

Remember, AD is = ED + AE.

So, AD = 2.5 + 5.

Finally, AD = 7.5

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3 years ago

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Mars2501 [29]

Answer:

A, B, C

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The top right corner is the positive side of the graph. If it goes below the X axis or to left of the Y axis, it is negative. (thus, the negative numbers)

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3 years ago