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3 years ago

5

¿Cuál es el área lateral y el área de superficie del cono a la pulgada cuadrada más cercana?

1 answer:

Arte-miy333 [17]3 years ago

5 0

Do you have the question in English

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11 feet 8inches + 2 feet 9 inches

hjlf

the asnwer is 14 feet 5 inches because you add feet and then inches

8 0

3 years ago

Read 2 more answers

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

3 years ago

Given right triangle ABCABC with altitude \overline{BD}

Alex

Answer:

$x = 2\sqrt{11}$

Step-by-step explanation:

AD = 4

AC = 11

DC = 11 - 4 = 7

First, find BD using the right triangle altitude theorem:

$BD = \sqrt{AD*DC}$

Plug in the values

$BD = \sqrt{4*7}$

$BD = 2\sqrt{7}$

Use pythagorean theorem to find x:

x² = AD² + BD²

Plug in the values

$x^2 = 4^2 + (2\sqrt{7})^2$

$x^2 = 4^2 + (2\sqrt{7})^2$

$x^2 = 16 + (4*7)$

$x^2 = 16 + 28$

$x^2 = 44$

Take the square root of both sides

$\sqrt{x^2} = \sqrt{44}$

$x = \sqrt{44}$

$x = \sqrt{4 * 11}$

$x = 2\sqrt{11}$

6 0

3 years ago

Read 2 more answers

Which expression represents the area of the shaded sector

11111nata11111 [884]

the answer should be C.

4 0

3 years ago

Measure Math | Welcome, HAILEE KNOTT

grandymaker [24]

Answer: $15\times\frac{1}{2}$

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say $10\times \frac{1}{2} = 5$

The fraction 1/2 converts to the decimal form 0.5, which means $10 \times \frac{1}{2} = 10*0.5$

3 0

2 years ago