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Norma-Jean [14]
3 years ago
5

Are the Trianfle similar?

Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

It is yes the similarity ratio is 3:4.

Step-by-step explanation:


neonofarm [45]3 years ago
4 0

Answer:

Option 2 is correct that is NO ; The triangles are not similar.

Step-by-step explanation:

Given: Measurements of the sides of triangle.

Say sides of triangle 1 = 3 , 5 , 6

Sides of triangle 2 = 4 , 6 , 8

We have to find if triangles are similar or not and if they are similar then to find their ratio.

Since, We are given with only sides of the triangle.

Then if they are similar then they will be by Side-Side-Side similarity criteria.

Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.

But clearly from given values , all ratios are not equal.

\frac{3}{4}=\frac{6}{8}\neq\frac{5}{6}

Or

\frac{3}{6}\neq\frac{5}{8}\neq\frac{6}{4}

No possible pair give equal ratio.

Therefore, Option 2 is correct that is NO ; The triangles are not similar.

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Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
Paladinen [302]

Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

y(x)=-3a+e^{C_1} sin(x)

e^{C_1} =constant

So:

y(x)=C_1*sin(x)-3a

Finally, let's evaluate the initial condition in order to find C1:

y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

3 0
4 years ago
Solve the system using elimination.
Leona [35]

Answer:

the answer is A

Step-by-step explanation:

6 0
4 years ago
What is the distance between –5 and 2?<br> units
Deffense [45]

Answer:

it would be a distance of 7 units

Step-by-step explanation:

5 0
3 years ago
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Sarah has a solid wooden cube with a length of 4/5 centimeter. From each of its 8 corners, she cuts out a smaller cube with a le
kobusy [5.1K]
The answer would be the first one and the fourth one.
5 1
3 years ago
if you buy 3.18 lb of grapes for $0.99 per pound and 1.25 lb of peaches for $1.09 per pound and 2.75 pounds of pears for $1 and
Flura [38]

<u>Answer:</u>

$7.78

<u>Step-by-step explanation:</u>

3.18 lb (grapes) x $0.99 = $3.15 (Real answer: 3.1482. Rounded to the nearest cent)

1.25 lb (peaches) x $1.09 = $1.36 (Real answer: 1.3625. Rounded to the nearest cent)

2.75 lb (pears) x $1.19 = $3.27 (Real answer: 3.2725. Rounded to the nearest cent)

$3.15 (grapes total) + $1.36 (peaches total) + $3.27 (pears total) = $7.78 (total bill)

<u>Final Answer:</u>

$7.78

<em>Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!</em>

-Bee

6 0
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