In Exercises $24-29$ find the measure of each angle. The ratio of the measures of two supplementary angles is $11 : 4$

In Exercises $24-29$ find the measure of each angle. The measures of the angles of a triangle are in the ratio $3 : 4 : 5$

In Exercises $24-29$ find the measure of each angle. The measures of the acute angles of a right triangle are in the ratio $5 : 7$ .

In Exercises $24-29$ find the measure of each angle. The measures of the angles of an isosceles triangle are in the ratio $3 : 3 : 2$

In Exercises $24-29$ find the measure of each angle. The measures of the angles of a hexagon are in the ratio $4 : 5 : 5 : 8 : 9 : 9 .$

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In Exercises $24-29$ find the measure of each angle. The ratio of the measures of two complementary angles is $4 : 5 .$

$\angle 1=40^{\circ} ; \angle 2=50^{\circ}$

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Mass Find the mass of the solid region bounded by the parabolic surfaces $z=16-2 x^{2}-2 y^{2}$ and $z=2 x^{2}+2 y^{2}$ if the density of the solid is $\delta(x, y, z)=\sqrt{x^{2}+y^{2}}$

For the following exercises, graph the parabola, labeling the focus and the directrix.$$3 x^{2}+30 x-4 y+95=0$$

For the following exercises, graph the parabola, labeling the focus and the directrix.$$x^{2}+4 x+2 y+2=0$$

Convert each angle in degrees to radians. Write the answer as a multiple of $\pi$.$$15^{\circ}$$

A wedge like the one in Exercise 22 has dimensions $a=2$ , $b=6,$ and $c=3 .$ The density is $\delta(x, y, z)=x+1 .$ Notice that if the density is constant, the center of mass will be $(0,0,0)$ .

Can you neutralize a strong acid solution by adding an equal volume of a weak base having the same molarity as the acid? Support your position.

PolarizationIn Fig. 33-40, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of $\theta_{1}=\theta_{2}=\theta_{3}=50^{\circ}$ with the direction of the $y$ axis. What percentage of the initial intensity is transmitted by the system? (Hint: Be careful with the angles.)

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## Recommended Questions

In Exercises $24-29$ find the measure of each angle.

The ratio of the measures of two supplementary angles is $11 : 4$

In Exercises $24-29$ find the measure of each angle.

The measures of the angles of a hexagon are in the ratio $4 : 5 : 5 : 8 : 9 : 9 .$

In Exercises $24-29$ find the measure of each angle.

The measures of the acute angles of a right triangle are in the ratio $5 : 7$ .

Mass Find the mass of the solid region bounded by the parabolic surfaces $z=16-2 x^{2}-2 y^{2}$ and $z=2 x^{2}+2 y^{2}$ if the density of the solid is $\delta(x, y, z)=\sqrt{x^{2}+y^{2}}$

For the following exercises, graph the parabola, labeling the focus and the directrix.

$$3 x^{2}+30 x-4 y+95=0$$

For the following exercises, graph the parabola, labeling the focus and the directrix.

$$x^{2}+4 x+2 y+2=0$$

Convert each angle in degrees to radians. Write the answer as a multiple of $\pi$.

$$15^{\circ}$$

A wedge like the one in Exercise 22 has dimensions $a=2$ , $b=6,$ and $c=3 .$ The density is $\delta(x, y, z)=x+1 .$ Notice that if the density is constant, the center of mass will be $(0,0,0)$ .

Can you neutralize a strong acid solution by adding an equal volume of a weak base having the same molarity as the acid? Support your position.

Polarization

In Fig. 33-40, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of $\theta_{1}=\theta_{2}=\theta_{3}=50^{\circ}$ with the direction of the $y$ axis. What percentage of the initial intensity is transmitted by the system? (Hint: Be careful with the angles.)