Numerade

Kunal g.

Viewed Questions

$If the lengths of two adjacent sides of a parallelogram are $a$ and $b,$ and if the acute angle formed by these two sides is $\theta,$ show that the product of the lengths of the two diagonals is given by the expression $$ \sqrt{\left(a^{2}+b^{2}\right)^{2}-4 a^{2} b^{2} \cos ^{2} \theta} $$$

If the lengths of two adjacent sides of a parallelogram are $a$ and $b,$ and if the acute angle formed by these two sides is $\theta,$ show that the product of the lengths of the two diagonals is given by the expression $$ \sqrt{\left(a^{2}+b^{2}\right)^{2}-4 a^{2} b^{2} \cos ^{2} \theta} $$

Additional Topics in Trigonometry

The Law of Sines and the Law of Cosines

List three angles (in radian measure) that have a sine of $-1 / 2$

The Trigonometric Functions

Evaluating the Trigonometric Functions

List three angles (in radian measure) that have a cosine of $-1 / 2$

The Trigonometric Functions

Evaluating the Trigonometric Functions

Use the formula derived in Exercise 48 to estimate the age of each sample. Note: Some technical complications arise in interpreting such results. Studies have shown that the ratio of carbon- 12 to carbon- 14 in the air (and therefore in living matter) has not in fact been constant over time. For instance, air pollution from factory smokestacks tends to increase the level of carbon- $12 .$ In the other direction, nuclear bomb testing increases the level of carbon- 14 Before radiocarbon dating was used, historians estimated that the tomb of Vizier Hemaka, in Egypt, was constructed about 4900 years ago. After radiocarbon dating became available, wood samples from the tomb were analyzed, and it was determined that the radioactivity level was 510 disintegrations per hour per gram. Estimate the age of the tomb on the basis of this reading and compare your answer to the figure already mentioned.

Exponential and Logarithmic Functions

Exponential Growth and Decay

Questions asked

INSTANT ANSWER

Before radiocarbon dating was used, historians estimated that the tomb of Vizier Hemaka, in Egypt, was constructed about 4900 years ago. After radiocarbon dating became available, wood samples from the tomb were analyzed, and it was determined that the radioactivity level was 510 disintegration per hour per gram. Estimate the age of the tomb on the basis of this reading and compare your answer to the figure already mentioned.

INSTANT ANSWER

a laser beam is fired from point A in the u shaped room at right. It reflects from each wall as from a perfect mirror. What is the minimum distrance the beam travels before hitting a target at point B? A and B are the4 midpoints of their respective sides

ANSWERED

Nick Johnson

Numerade educator

what figure is formed by connecting the centers of the faces of a regular icosahedron

ANSWERED

Nick Johnson

Numerade educator

what figure is formed by connecting the centers of the faces of a regular dodecahedron

INSTANT ANSWER

A1, A2, A3......An is a regular n-gon. Prove that A1, A2, A3, A4 is a trapezoid

ANSWERED

Nick Johnson

Numerade educator

(1/[l3-4xl]) =2

ANSWERED

Keondre Parker

Numerade educator

(1[3-4x]) =2

ANSWERED

Kathleen Carty

Numerade educator

solve the following inequality. Write the answer in intervals {[x(x-3)]/[x^2-1x-72]}<=0

ANSWERED

Nick Johnson

Numerade educator

five coins are tossed 80 times. what is the probability of getting three heads and two tails

ANSWERED

Aishwarya Krishnakumar

Numerade educator

find a formula for the general term an of the geometric sequence(starting with a1): {-3,6,-12,24,....}