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3 years ago

Write -7.5 as a common fraction.

Mathematics

1 answer:

Alina [70]3 years ago

4 0

Answer:

-15/2 (or -7 1/2)

Step-by-step explanation:

-7.5 is equal to -75/10.

When you simplify it, you get:

-15/2 which simplifies to -7 1/2

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The measure of the base of a triangle is represented by 4x+3 and the height is 6x represent the area of the triangle as a polyno

Juliette [100K]

Answer:

$12x^2+9x$

Step-by-step explanation:

The formula of the area of a triangle is $\frac{bh}{2}$ . Plugging in the given base and height values, you get $\frac{(4x+3)(6x)}{2}=\frac{24x^2+18x}{2}=12x^2+9x$ . Hope this helps!

7 0

3 years ago

Evaluate the integral by changing to polar coordinatesye^x dA, where R is in the first quadrant enclosed by the circle x^2+y^2=2

34kurt

$\displaystyle\iint_Rye^x\,\mathrm dA=\int_{\theta=0}^{\theta=\pi/2}\int_{r=0}^{r=5}r^2\sin\theta e^{r\cos\theta}\,\mathrm dr\,\mathrm d\theta$

which follows from the usual change of coordinates via

$\begin{cases}\mathbf x(r,\theta)=r\cos\theta\\\mathbf y(r,\theta)=r\sin\theta\end{cases}$

and Jacobian determinant

$|\det J|=\left|\begin{vmatrix}\mathbf x_r&\mathbf x_\theta\\\mathbf y_r&\mathbf y_\theta\end{vmatrix}\right|=|r|$

Swap the order, so that the integral is

$\displaystyle\int_{r=0}^{r=5}\int_{\theta=0}^{\theta=\pi/2}r^2\sin\theta e^{r\cos\theta}\,\mathrm d\theta\,\mathrm dr$

and now let $\sigma=r\cos\theta$ , so that $\mathrm d\sigma=-r\sin\theta$ . Now, you have

$\displaystyle\int_{r=0}^{r=5}\int_{\sigma=0}^{\sigma=r}re^\sigma\,\mathrm d\sigma\,\mathrm dr=\int_{r=0}^{r=5}r(e^r-1)\,\mathrm dr=4e^5-\dfrac{23}2$

7 0

3 years ago

Round 129.392 to the nearest ten,one,tenth,and hundredth. I need help plz

Soloha48 [4]

Nearest ten=130
nearest one=129
nearest tenth= 129.4
nearest hundredth= 129.39

8 0

3 years ago

find the hypotenuse of each isosceles right triangle when the legs are of the given measure. given= 8 inches

Greeley [361]

You would get a decimal that could be rounded down to 11

6 0

3 years ago

Read 2 more answers

What is the value of 6(2b-4) when b=5?

s2008m [1.1K]

Replace b with 5:

6(2(5)-4)

Simplify:

6(10-4)

Subtract:

6(6)

Multiply to get the answer: 36

The answer is 36

8 0

3 years ago