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3 years ago

The triangles are similar. What is the value of x? Enter your answer in the boX.

Mathematics

2 answers:

Andreyy893 years ago

7 0

Answer:

Step-by-step explanation:

Sorry if this is a bad explanation but basically...

7 * 4 = 28 and 96 / 4 = 24, so 25 * 4 = 100

100 - 28 = 72

72 / 6 = 12

matrenka [14]3 years ago

6 0

6x+28=25

or,x=-1/2

Step-by-step explanation:

corresponding sides i think so

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Find the length of the curve x=e^t e^{-t},\;\;y=5-2t,\;\;0 \le t \le 3.

Oksana_A [137]

$\begin{cases}x(t)=e^t+e^{-t}\\y(t)=5-2t\end{cases}\implies\begin{cases}x'(t)=e^t-e^{-t}\\y'(t)=-2\end{cases}$

The length of the curve is given by the integral

$\displaystyle\int_0^3\sqrt{(e^t-e^{-t})^2+(-2)^2}\,\mathrm dt$

Expand and rewrite the integrand:

$(e^t-e^{-t})^2+(-2)^2=e^{2t}+2+e^{-2t}$
$=e^{-2t}(e^{4t}+2e^{2t}+1)$
$=e^{-2t}(e^{2t}+1)^2$
$\implies\sqrt{(e^t-e^{-t})^2+(-2)^2}=\dfrac{e^{2t}+1}{e^t}$

Now the integral is

$\displaystyle\int_0^3\dfrac{e^{2t}+1}{e^t}\,\mathrm dt=\int_0^3(e^t+e^{-t})\,\mathrm dt$
$=2\displaystyle\int_0^3\cosh t\,\mathrm dt$
$=2\sinh t\bigg|_{t=0}^{t=3}$
$=2\sinh 3$

7 0

3 years ago

James says 5/5 is greater than 9/10 is james correct explain

kirill [66]

Answer:

James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.

8 0

3 years ago

Read 2 more answers

Consider the following number line:

mrs_skeptik [129]

Answer:

here is your answer

Step-by-step explanation:

a answer

7 0

3 years ago

The length of a new rectangular playing field is 6 yard longer than the triple the width. If the perimeter of the rectangular pl

Katarina [22]

Answer:width = 53 yards

Length = 165 yards

Step-by-step explanation:

3 0

4 years ago

Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the i minus 1 power from 1 to infinit

Paraphin [41]

Answer:

This is a convergent geometric series. The sum is 30.

Step-by-step explanation:

In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...

S = a1/(1 -r)

where a1 is the first term (12) and r is the common ratio (3/5). This gives ...

S = 12/(1 -3/5) = 12·5/2 = 30

The series is convergent and has a sum of 30.

7 0

4 years ago