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3 years ago

Pythagorean theorem

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Answer:

a=3√77=26.3 ( rounded to the nearest tenth)

Step-by-step explanation:

hyp.=37

base=26

a²+b²=c²

a²=c²-b²

a²=37²-26²

a²= 693

a=√693

a=3√77=26.3 ( rounded to the nearest tenth)

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Simplify and write the trig expression in terms of sin and cos

dsp73

We have:

$cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}$

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

$-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}$

We clear f(x):

$f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}$

we simply what we can:

$f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)$

Thus, the correct answer is;

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1 year ago

Is (-a + b)² = a² - 2ab + b² right or wrong, and why?

antiseptic1488 [7]

Answer:

$\huge\boxed{\sf Right.}$

Step-by-step explanation:

$(-a+b)^2$

Let's apply the formula (x+y)² = x² + 2xy + y²

Here, x = -a and y = b

So,

= (-a)² + 2(-a)(b) + (b)²

= a² - 2ab + b²

Hence, it has been proved that (-a + b)² = a² - 2ab + b².

$\rule[225]{225}{2}$

Hope this helped!

6 0

3 years ago

Given quadrilateral TUVX ~ quadrilateral MNOP and VX = 5, XT = 10, and OP = 7, what is PM?

Likurg_2 [28]

$\dfrac{\overline{PM}}{\overline{OP}}=\dfrac{\overline{XT}}{\overline{VX}}\\\\
\dfrac{\overline{PM}}{7}=\dfrac{10}{5}\\\\
\dfrac{\overline{PM}}{7}=2\\\\
\overline{PM}=14$

8 0

3 years ago

Which number represents the value of the quotient below?

IgorC [24]

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4 years ago

Will give brainliest <br> What is the output of y=6x−11 when the input is 5?

MrRissso [65]

Answer:

Step-by-step explanation:

y = 6x - 11 If x = 5

y = (6*5) - 11

y = 30 - 11

y = 19

5 0

3 years ago