(a) Calculate the ratio of $\mathrm{K}_{\alpha}$ wavelengths for uranium and carbon. (b) Calculate the ratio of $\mathrm{L}_{\alpha}$ wavelengths for platinum and calcium.

Write each ratio as a fraction In simplest form. A class has 10 boys and 15 girls. What is the ratio of boys to girls?

Tell whether the ratio is in simplest form. If not, write it in simplest form. Then, write the ratio in two other ways.

$$\frac { 48 } { 28 }$$

If the lengths of the sides of two similar triangles are in the ratio 4 : 3, what is the ratio of the lengths of a pair of corresponding altitudes, in the order given?

Tell whether the ratio is in simplest form. If not, write it in simplest form. Then, write the ratio in two other ways.

$$\frac { 39 } { 13 }$$

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

$$\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 5 } } { 5 ^ { n } }$$

Two similar triangles have areas of 9 and 25. a. What is the ratio of a pair of corresponding sides? b. What is the ratio of the triangles' perimeters?

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

$$\sum _ { n = 1 } ^ { \infty } \frac { n } { n ^ { 2 } + 1 }$$

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

$$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { ( 2 n ) ! }$$

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

$$\sum _ { n = 2 } ^ { \infty } \frac { 1 } { \ln n }$$

If two polyhedrons are similar, will the ratio of the lengths of two corresponding edges be the same as the ratio of the areas of two corresponding faces? Why or why not?

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

$$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 5 ^ { n } }$$

Use a ratio box to solve this problem. If 240 of the 420 students in the auditorium were girls, what was the ratio of boys to girls in the auditorium?

Find the measures of all interior angles of a triangle, using the given ratio between them. Angles' ratio: 1:2:3