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3 years ago

IM DUMB.Someone smart helppppp ill give brainlest

Mathematics

1 answer:

Montano1993 [528]3 years ago

3 0

Answer:

x=45

Step-by-step explanation:

Each triangle had 180 degrees in all and the picture shows it has a right angle. 180-90=90

90/2=45

Because there are two angles left without measurement.

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Carly has 2 more nickles than dimes in her pocket She has 40 cents How many nickels does carly have ? how many dimes does carly

Elina [12.6K]

Maybe if i add 10 + 30 is = 40 this is my answer

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3 years ago

Rewrite the following integral in spherical coordinates.

lora16 [44]

In cylindrical coordinates, we have $r^2=x^2+y^2$ , so that

$z = \pm \sqrt{2-r^2} = \pm \sqrt{2-x^2-y^2}$

correspond to the upper and lower halves of a sphere with radius $\sqrt2$ . In spherical coordinates, this sphere is $\rho=\sqrt2$ .

$1 \le r \le \sqrt2$ means our region is between two cylinders with radius 1 and $\sqrt2$ . In spherical coordinates, the inner cylinder has equation

$x^2+y^2 = 1 \implies \rho^2\cos^2(\theta) \sin^2(\phi) + \rho^2\sin^2(\theta) \sin^2(\phi) = \rho^2 \sin^2(\phi) = 1 \\\\ \implies \rho^2 = \csc^2(\phi) \\\\ \implies \rho = \csc(\phi)$

This cylinder meets the sphere when

$x^2 + y^2 + z^2 = 1 + z^2 = 2 \implies z^2 = 1 \\\\ \implies \rho^2 \cos^2(\phi) = 1 \\\\ \implies \rho^2 = \sec^2(\phi) \\\\ \implies \rho = \sec(\phi)$

which occurs at

$\csc(\phi) = \sec(\phi) \implies \tan(\phi) = 1 \implies \phi = \dfrac\pi4+n\pi$

where $n\in\Bbb Z$ . Then $\frac\pi4\le\phi\le\frac{3\pi}4$ .

The volume element transforms to

$dx\,dy\,dz = r\,dr\,d\theta\,dz = \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi$

Putting everything together, we have

$\displaystyle \int_0^{2\pi} \int_1^{\sqrt2} \int_{-\sqrt{2-r^2}}^{\sqrt{2-r^2}} r \, dz \, dr \, d\theta = \boxed{\int_0^{2\pi} \int_{\pi/4}^{3\pi/4} \int_{\csc(\phi)}^{\sqrt2} \rho^2 \sin(\phi) \, d\rho \, d\phi \, d\theta} = \frac{4\pi}3$

4 0

2 years ago

What is the equation of a line that has a slope of 0 and passes through (5, −2)?

kumpel [21]

y=-2

Step-by-step explanation:

if line has zero slope (b) it means that b is undefined.

if x=0 y=-2 because line has no slope. so b=-2

y=-2

4 0

2 years ago

By what percent will the fraction increase if its numerator is increased by 60% and denominator is decreased by 20% ?

seropon [69]

Answer:

100%

Step-by-step explanation:

Start with x.

x = x/1

Increase the numerator by 60% to 1.6x.

Decrease the numerator by 20% to 0.8.

The new fraction is

1.6x/0.8

Do the division.

1.6x/0.8 = 2x

The fraction increased from x to 2x. It became double of what it was. From x to 2x, the increase is x. Since x was the original number x is 100%.

The increase is 100%.

8 0

3 years ago

Read 2 more answers

Multiply. Write the answer in lowest terms. <br> 5/7 x 11/7 x 5/6

marusya05 [52]

Hi

5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294

5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)

Answer: 275/294

6 0

3 years ago

Read 2 more answers

IM DUMB.Someone smart helppppp ill give brainlest​

IM DUMB.Someone smart helppppp ill give brainlest