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3 years ago

The measures of the angles of a triangle are shown in the figure below. solve for x.

Mathematics

1 answer:

Lina20 [59]3 years ago

7 0

Answer:

Step-by-step explanation:

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Juliette [100K]

Answer: 5

Step-by-step explanation:

6 0

2 years ago

What's the ratio equivalent to 15 to 60.

Ilya [14]

Answer:

1:4

Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.

15/15=1

60/15=4

so 1:4

8 0

3 years ago

Read 2 more answers

A circular rug has a diameter of 6 feet. What is the area of the rug?

SVEN [57.7K]

B) 28.26 squared feet.

To fine area, you need the radius. radius is half of diameter. half of 6 is 3. A=πr2=π·32≈28.27433

3 0

3 years ago

Read 2 more answers

Please I need help with differential equation. Thank you

Inga [223]

1. I suppose the ODE is supposed to be

$\mathrm dt\dfrac{y+y^{1/2}}{1-t}=\mathrm dy(t+1)$

Solving for $\dfrac{\mathrm dy}{\mathrm dt}$ gives

$\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{y+y^{1/2}}{1-t^2}$

which is undefined when $t=\pm1$ . The interval of validity depends on what your initial value is. In this case, it's $t=-\dfrac12$ , so the largest interval on which a solution can exist is $-1\le t\le1$ .

2. Separating the variables gives

$\dfrac{\mathrm dy}{y+y^{1/2}}=\dfrac{\mathrm dt}{1-t^2}$

Integrate both sides. On the left, we have

$\displaystyle\int\frac{\mathrm dy}{y^{1/2}(y^{1/2}+1)}=2\int\frac{\mathrm dz}{z+1}$

where we substituted $z=y^{1/2}$ - or $z^2=y$ - and $2z\,\mathrm dz=\mathrm dy$ - or $\mathrm dz=\dfrac{\mathrm dy}{2y^{1/2}}$ .

$\displaystyle\int\frac{\mathrm dy}{y^{1/2}(y^{1/2}+1)}=2\ln|z+1|=2\ln(y^{1/2}+1)$

On the right, we have

$\dfrac1{1-t^2}=\dfrac12\left(\dfrac1{1-t}+\dfrac1{1+t}\right)$

$\displaystyle\int\frac{\mathrm dt}{1-t^2}=\dfrac12(\ln|1-t|+\ln|1+t|)+C=\ln(1-t^2)^{1/2}+C$

$2\ln(y^{1/2}+1)=\ln(1-t^2)^{1/2}+C$

$\ln(y^{1/2}+1)=\dfrac12\ln(1-t^2)^{1/2}+C$

$y^{1/2}+1=e^{\ln(1-t^2)^{1/4}+C}$

$y^{1/2}=C(1-t^2)^{1/4}-1$

I'll leave the solution in this form for now to make solving for $C$ easier. Given that $y\left(-\dfrac12\right)=1$ , we get

$1^{1/2}=C\left(1-\left(-\dfrac12\right)^2\right))^{1/4}-1$

$2=C\left(\dfrac54\right)^{1/4}$

$C=2\left(\dfrac45\right)^{1/4}$

and so our solution is

$\boxed{y(t)=\left(2\left(\dfrac45-\dfrac45t^2\right)^{1/4}-1\right)^2}$

3 0

3 years ago

the scale on a map is 0.5 centimeter = 3 kilometers. on the map, town B is 12.5 centimeters away from town A. what is the actual

Nitella [24]

Answer:

75 kilometers.

Step-by-step explanation:

It is 75 because 0.5 goes into 12.5 25 times. 25 x 3 = 75.

That is why the answer is 75. Have a gr8 day (:

(Can I have brainliest?)

8 0

3 years ago