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4 years ago

Calculate x, if AB = BP

Mathematics

1 answer:

lianna [129]4 years ago

7 0

BPC is an isosceles triangle so the base angles are equal.

x is 30

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Given the following information, find the PERIMETER of the right triangle.

klasskru [66]

Use Pythagorean theorem
A^2 + B^2 = C^2
12^2 + B^2 = 15^2
Solves for b

3 0

3 years ago

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It takes 28 minutes to play 8 songs on a radio.Every song is played for the same length of time.How does it take to play 1 song?

zvonat [6]

Answer:

you would divide 28 by 8 and get 3.5. so around 3:30 per song

Step-by-step explanation:

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4 years ago

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Finding an Equation of a Tangent Line In Exercise, find an equation of the tangent line to the graph of the function at the give

Aloiza [94]

Answer:

$y = 4e^2x - 3e^2$

Step-by-step explanation:

$f(x) = e^{2x^2}$

lets calculate the derivate of f using the chain rule:

$f'(x) = e^{2x^2}* (2x^2)' = e^{2x^2}*4x = 4e^{2x^2}x$

we have that f'(1) = 4e^2, hence the equation is

$y = f(1) + f'(1) (x-1) = e^2 + 4e^2(x-1)$

or, equivalently,

$y = 4e^2x - 3e^2$

4 0

3 years ago

Need some help with indefinite integrals pleasee

goldenfox [79]

Observe that $(x^2+2x+2)'=2x+2$ .

You have that $\int \frac{2x}{x^2+2x+2}\; dx=\int \frac{2x+2-2}{x^2+2x+2}\; dx=\int \frac{2x+2}{x^2+2x+2}\; dx+\int \frac{1}{x^2+2x+2}\; dx=I_1+2I_2$ .

To compute $I_1$ you set $y=x^2+2x+2$ , so $dy=2x+2\; dx$ . Therefore, $I_1=\int \frac{1}{y}\; dy=\ln |y|=\ln |x^2+2x+2|=\ln (x^2+2x+2)$ .

For $I_2$ observe that $x^2+2x+2=(x+1)^2+1$ . Let $y=x+1$ . Then $dy=dx$ and $I_2=\int \frac{1}{y^2+1}=\arctan y=\arctan (x+1)$ .

So, $\int \frac{2x}{x^2+2x+2}=\ln (x^2+2x+2)+2\arctan (x+1)+c$ .

8 0

4 years ago

A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars

lukranit [14]

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

$\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs$

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

$\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200$

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

Learn more about Units conversion:

brainly.com/question/4736731

8 0

3 years ago