Determine the shape around each central atom in each molecule, and explain any deviation from ideal bond angles:
(b) $\mathrm{N}_2 \mathrm{O}_3\left(\mathrm{ONNO}_2\right)$

How would you explain the progression of ideas in Dunbar's "Sympathy"? Think about · the situation described in each stanza · what central ideas the speaker builds on · the first and last line of each stanza

A wheel of cheese in the shape of a right circular cylinder is 18 cm in diameter and 5 cm thick. If a wedge of cheese with a central angle of 15° is cut from the wheel, find the volume of the cheese wedge.

Point P sweeps out central angle $\theta$ as it rotates on a circle of radius r as given below. In each case, find the angular velocity of point $P$.

$$\theta=8 \pi, t=3 \pi \sec$$

Use to given information to find the length of a circular arc. Round to two decimal places.

Find the length of the arc of a circle of radius $12$ inches subtended by a central angle of $\frac{\pi}{4}$ radians.

Solve each problem. Show your work. The diameter of a circle is 12 inches. Find the area of a sector of the circle with a central angle that measures $110^{\circ}.$ Use 3.14 for $\pi.$ Round to the nearest hundredth.

A story's conflict, or struggle, occurs when a character is motivated to fulfill a desire but is prevented from doing so. Identify the central conflict in "Two Kinds." Is it internal or external? What, or who, causes it, and why?

An engineer is designing a curve on a highway. The curve will be an arc of a circle with a radius of 1260 ft. The central angle that intercepts the curve will measure

$$\frac{\pi}{6}$$

radians. To the nearest foot, what will be the length of the curve?

White light shone through a certain diffraction grating produces just two full spectral orders on either side of the central maximum. Calculate the maximum possible number of lines per centimetre for this grating.

If the central oxygen in the water molecule did not use $s p^3$ hybridized orbitals (or orbitals of any other kind of hybridization), what would be the expected bond angle in $\mathrm{H}_2 \mathrm{O}$ ?

For the following exercise,

Use to given information to find the length of a circular arc. Round to two decimal places.

Find the length of the arc of a circle of radius $10$ centimeters subtended by the central angle of $50^{\circ}$.

There is a $45^{\circ}$ central angle in a circle with radius $4$ units. To find the coordinates of point $P$ on the circle, work the following exercises in order.

Which sides of the right triangle give the coordinates of point $P$? What are the coordinates of $P$?

Determine the shape around each central atom in each molecule, and explain any deviation from ideal bond angles
(a) $\mathrm{H}_3 \mathrm{PO}_4$ (no $\mathrm{H}-\mathrm{P}$ bond)

Use to given information to find the length of a circular arc. Round to two decimal places.

Find the length of the arc of a circle of diameter $14$ meters subtended by the central angle of $\frac{5 \pi}{6}$.