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3 years ago

10

Find the area of this triangle

1 answer:

uysha [10]3 years ago

3 0

Answer:

i think the answer is 67.5

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Jean is 11 years old. She lives in a building with 8 children who are older than 11 and 6 children that are under 11 years old H

Vladimir79 [104]

Answer:

Step-by-step explanation:8

3 0

4 years ago

How many 5 - digit numbers have the second digit odd and the fifth digit at least four times the second digit?

andrezito [222]

53

Why :

this is type of casework

- B can only be 1

so E = 4

9 x 1 x 10 x 10 x 1 = 900

and so, theres only one possible.

8 0

2 years ago

Read 2 more answers

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t),[0, π/2].

castortr0y [4]

Answer:

The absolute maximum is $\frac{3\sqrt 3}2$ and the absolute minimum value is $0.$

Step-by-step explanation:

Differentiate of $f$ both sides w.r.t. $t$ ,

$f(t)=2 \cos t+\sin 2t$

$\Rightarrow f'(t)=-2\sin t+2\cos 2t$

Now take $f'(t)=0$

$\Rightarrow -2\sin t+2\cos 2t=0$

$\Rightarrow 2\cos 2t=2\sin t$

$\Rightarrow \cos 2t=\sin t$

$\Rightarrow 1-2\sin ^2t =\sin t \quad \quad [\because \cos 2t = 1-2\sin ^2t]$

$\Rightarrow 2\sin ^2t+\sin t-1=0$

$\Rightarrow 2\sin ^2t+2\sin t-\sin t-1=0$

$\Rightarrow 2\sin t(\sin t+1)-1(\sin t+1)=0$

$\Rightarrow (\sin t+1)(2\sin t-1)=0$

$\Rightarrow \sin t+1=0 \;\text{and}\; 2\sin t-1=0$

$\Rightarrow \sin t =-1 \;\text{and}\; \sin t =\frac 12$

In the interval $0\leq t\leq \frac {\pi}2$ , the answer to this problem is $\frac {\pi}6$

Now find the second derivative of $f(t)$ w.r.t. $t$ ,

$f''(t)=-2\cos t-4\sin 2t$

$\Rightarrow \left[f''(t)\right]_{t=\frac {\pi}6}=-2\times \frac {\sqrt 3}2-4\times \frac{\sqrt 3}2=-3\sqrt 3$

Thus, $f(t)$ is maximum at $t=\frac {\pi}6$ and minimum at $t=0$

$\left[f(t)\right]_{t=\frac {\pi}6}=2\times \frac {\sqrt 3}2+\frac{\sqrt 3}2=\frac{3\sqrt 3}2\;\text{and}\;\left[f(t)\right]_{t=\frac{\pi}2}= 2\times 0+0=0$

Hence, the absolute maximum is $\frac{3\sqrt 3}2$ and the absolute minimum value is $0$ .

7 0

3 years ago

How do you factor out the coefficient of 1/8x-49/8

vodka [1.7K]

Simplify 1/8x

x/8 - 49/8

6 0

4 years ago

What is the measure of one exterior angle in a regular hexagon

Ede4ka [16]

Answer:

Step-by-step explanation:

360/n. n=6(no of sides of hexagon)

=360/6=60^o

8 0

3 years ago