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3 years ago

AXY Zand AABCare similar triangles. Given the dimensions shown in the diagram, what is the

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

6 0

Answer:

3.528

Step-by-step explanation:

First, you need to determine the scale factor. Divide one side in the larger triangle by the corresponding side in the smaller triangle. For example, 8/2. This would give you a scale factor of 2. Then you can reverse the process with the dimensions you need to get the area. The height of the larger triangle is 3.36, so to find the height of the smaller one, you divide it by 2, or the scale factor, to get the height of the smaller triangle which is 1.68. Next, you can solve for area of triangle using a=bh/2, so 4.2*1.68/2=a = 3.528.

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4 years ago

Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

3 years ago

–3(x – 14) + 9x = 6x + 42

sesenic [268]

Answer:

All real numbers

0 = 0

Step-by-step explanation:

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Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.

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3 years ago

Read 2 more answers

Mina wore a pedometer on her foot for 3 hours. She recorded the number of steps she walked for each hour. The first hour she too

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Answer:

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Step-by-step explanation:

With the information provided, you know that Mina took a total of 9,245 steps in three hours and as you know the quantity of steps she took on the first and second hour, you can subtract the steps she took on the first and second hour from the total amount of steps to determine the steps she took on the third hour:

9,245-2,387-3,872=2,986

According to this, the answer is that Mina took 2,986 steps on the third hour.

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3 years ago

The Math Club bought 16 graphing calculators for $765. The TI-70 model costs $40 and

Afina-wow [57]

Answer:

They bought 5

Step-by-step explanation:

65x+40y=765

65(5)+40(11)=765

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3 years ago