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2 years ago

If ∆ABC congruent ∆DEF, which of the following can you NOT conclude as being true?

Mathematics

2 answers:

Olin [163]2 years ago

6 0

Answer:

Step-by-step explanation:

enyata [817]2 years ago

4 0

Answer:

I believe the answer would be C (sorry i messed uo the first time)

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Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago

If i were to divide 15.34 by 1.64 what would it be

vazorg [7]

Answer:

9.35975609756

Step-by-step explanation:

Its about this I just put it into a calculator

3 0

3 years ago

Read 2 more answers

If the ratio of circles to triangles you will only need to write ratios in one form of your choice

harina [27]

Answer:

Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle

Step-by-step explanation:

4 0

3 years ago

5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

hram777 [196]

X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice

4 0

3 years ago

Q # 4 anybody help me please

Marysya12 [62]

<u>Answer</u>

-5/3, -1, 0.7, √2, √5

<u>Explanation</u>

√5 = 2.236

-1 ⇒ this is less than 1.

-5/3 = -1.666667 this is less than 1. -5/3 < -1

0.7 > -1

√2 = 1.414 ⇒ √5 > √2

Arranging them from the least to the greatest;

-5/3, -1, 0.7, √2, √5

8 0

3 years ago