All categories

3 years ago

Pls help me with this solve 5 thro 6 and 4

Mathematics

2 answers:

iren2701 [21]3 years ago

5 0

Step-by-step explanation:

5. To find the area of any rectangle, multiply length and width

6. To find the area of any triangle, multiply base times height

i don't know about question 4 sorry :(

Lera25 [3.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by

Whitepunk [10]

$\displaystyle\iint_R\sin(384x^2+486y^2)\,\mathrm dA$

Notice that Given that $R$ is an ellipse, consider a conversion to polar coordinates:

$\begin{cases}x(r,\theta)=\frac r8\cos\theta\\y(r,\theta)=\frac r9\sin\theta\end{cases}$

The Jacobian for this transformation is

$J=\begin{bmatrix}\frac18\cos\theta&-\frac r8\sin\theta\\\frac19\sin\theta&\frac r9\cos t\end{bmatrix}$

with determinant $\det J=\frac r{72}$

Then the integral in polar coordinates is

$\displaystyle\frac1{72}\int_0^{\pi/2}\int_0^1\sin(6r^2\cos^2t+6r^2\sin^2t)r\,\mathrm dr\,\mathrm d\theta=\int_0^{\pi/2}\int_0^1r\sin(6r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{\pi\sin^23}{864}}$

where you can evaluate the remaining integral by substituting $s=6r^2$ and $\mathrm ds=12r\,\mathrm dr$ .

5 0

3 years ago

How to make a 70% into a fraction

Yuliya22 [10]

Answer:

$\frac{7}{10}$

Step-by-step explanation:

A percent is out of 100.

$70\% = \frac{70}{100}=\frac{70/10}{100/10} =\boxed{\frac{7}{10}}$

I hope this helps.

4 0

2 years ago

Find the population variance and standard deviation. 8â€‹, 17â€‹, 29â€‹, 35â€‹, 41 Choose the correct answer below. Fill in the

Nuetrik [128]

Answer:

(a) σ² = 144

(b) s² = 12

Step-by-step explanation:

(a) Population variance σ² = ∑(X - $\overline{X}$ )² / N

The arithmetic mean $\overline{X} = \frac{8 + 17 + 29 + 35 + 41}{5}$

$\overline{X} = \frac{130}{5}$

$\overline{X} = 26$

σ² = $\frac{(8 - 26)^{2} + (17 - 26)^{2} + (29 - 26)^{2} + (35 - 26)^{2} + (41 - 26)^{2}}{5}$

= $\frac{(- 18)^{2} + (- 9)^{2} + (3)^{2} + (9)^{2} + (15)^{2}}{5}$

= $\frac{324\ +\ 81\ +\ 9\ +\ 81\ +\ 225}{5}$

= $\frac{720}{4}$

σ² = 144

(b) $Standard\ deviation = \sqrt{Variance}$

$= \sqrt{144}$

= 12

7 0

3 years ago

HELP ME I AM BEING TIMED!!!

Fed [463]

Answer:

it should be 490 joules

Step-by-step explanation:

9.8m/s^2

10kg * 9.8 * 3m

10kg*9.8*5m

8 0

2 years ago

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. find the diameter of the base of the cylinder

White raven [17]

Answer:

2 cm

Step-by-step explanation:

h = 14 cm

Curved surface area of a right circular cylinder = 88 cm²

2πrh = 88

$2 * \frac{22}{7}*r*14=88\\\\r = \frac{88*7}{2*22*14}\\\\ r =1 \\\\r = 1 cm$

Diameter = 2 * r = 2 * 1 = 2 cm

6 0

3 years ago