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3 years ago

Use square ABCD for this problem IF AC=26,find BC.

Mathematics

2 answers:

katen-ka-za [31]3 years ago

8 0

Answer:

x= $\sqrt{338}$

Step-by-step explanation:

$a^2+b^2=c^2$

$x^2+x^2=$ $26^2$

$2x^2=26^2$

$2x^2=676$

/2 /2

$x^2=338$

$\sqrt{x^2} =\sqrt{338}$

x= $\sqrt{338}$

LuckyWell [14K]3 years ago

7 0

Answer:

Step-by-step explanation:

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Nataliya [291]

Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
$5y\sin t=\dfrac13\sin^3t+C$
$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
$C=\dfrac{134}{15}$

so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

6 0

3 years ago

-104=8x what is the answer?

Nezavi [6.7K]

Answer:

x=-12

Step-by-step explanation:

8x=-104

8x÷8=-104÷8

x=-104÷8

x=-13

7 0

3 years ago

Read 2 more answers

The base of a rectangular tank measures 50 cm by 40 cm. What will the height of the water level be when it contains 9 liters of

uranmaximum [27]

Answer:

height = 4.5 cm

Step-by-step explanation:

9 liters = 9000 cm^3

(50x40xH) = 9000

H = 4.5 cm

6 0

2 years ago

Prove algebraically what type of function this is (even, odd, or neither).<br>f(x) = x^6 – x^4

Savatey [412]

Let's see.

We have function $f(x)=x^6-x^4$ . We have to determine if the function is even or odd or neither.

We can find this out in many ways but the assignment specifically asks to prove this algebraically.

Function is even if $f(x)=f(-x)$ , so, $x^6-x^4=(-x)^6-(-x)^4$

Which is true since negative raised to an even power is positive to that same number.

Similarly, function is odd if $f(x)=-f(-x)$ , that is,

$x^6-x^4\neq-((-x)^6-(-x)^4)$ .

So we have prooved that function $f(x)$ is an even function not an odd function and therefore also not neither.

Hope this helps.

3 0

3 years ago

A factory makes 7000 flash drives each week. For testing purposes,

Anika [276]

Answer:

245 flash drives

Step-by-step explanation:

We can assume that the proportion of broken flash drives in the 200 drive sample is the same as the proportion of broken flash drives in the weekly output. Therefore, if we let $x$ be the number of broken flash drives produced that week, we can write the following equation:

$\frac{7}{200} =\frac{x}{7000}$

Solving for $x$ , we get:

$\frac{7}{200} =\frac{x}{7000}$

$7000 * \frac{7}{200} =x$ (Multiply both sides of the equation by $7000$ to isolate $x$ )

$\bf x=245$ flash drives (Multiply)

Hope this helps!

4 0

2 years ago