Solution: ?After you work on each problem, record your answer on the answer sheet

If \(c\) is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. \(a=8\), \(b=14\), \(c=\) ? Equation Transcription: Text Transcription: c a = 8 b = 14 c =

If \(c\) is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. \(a=\) ?, \(b=18\), \(c=26\) Equation Transcription: Text Transcription: c a = b = 18 c = 26

If \(c\) is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. \(a=18\), \(b=18\), \(c=\) ? Equation Transcription: Text Transcription: c a = 18 b = 18 c =

If \(c\) is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. \(a=6\), \(b=\) ?, \(c=12\) Equation Transcription: Text Transcription: c a = 6 b = c = 12

If \(c\) is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. \(a=\) ?, \(b=22\), \(c=28\) Equation Transcription: Text Transcription: c a = b = 22 c = 28

If \(c\) is the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. \(a=31\), \(b=33\), \(c=\)? Equation Transcription: Text Transcription: c a = 31 b = 33 c =

Find the value of each variable.

Find the value of each variable.

Find the value of each variable.

Solve each equation. Check your solution. \(x=\frac{18}{24}\) Equation Transcription: Text Transcription: x = 18/24

Solve each equation. Check your solution. \(y=\frac{36}{24}\) Equation Transcription: Text Transcription: y=36/24

Solve each equation. Check your solution. \(n=\frac{36}{8}\) Equation Transcription: Text Transcription: n=36/8

Solve each equation. Check your solution. \(0.5=\frac{x}{5}\) Equation Transcription: Text Transcription: 0.5 = x/5

Solve each equation. Check your solution. \(0.75=\frac{y}{24}\) Equation Transcription: Text Transcription: 0.75 = y/24

Solve each equation. Check your solution. \(0.62=\frac{n}{12}\) Equation Transcription: Text Transcription: 0.62 = n/12

Solve each equation. Check your solution. \(0.25=\frac{x}{5}\) Equation Transcription: Text Transcription: 0.25 = x/5

Solve each equation. Check your solution. \(0.44=\frac{v}{28}\) Equation Transcription: Text Transcription: 0.44 = y/28

Solve each equation. Check your solution. \(0.16=\frac{n}{44}\) Equation Transcription: Text Transcription: 0.16 = n/44

Simplify each expression. \(\sqrt{12}\) Equation Transcription: Text Transcription: sqrt 12

Simplify each expression. \(\sqrt{6} \cdot \sqrt{3}\) Equation Transcription: Text Transcription: sqrt 6 cdot sqrt 3

Simplify each expression. \(\frac{6}{\sqrt{2}}\) Equation Transcription: Text Transcription: 6/ sqrt 2

The measure of a leg of an isosceles right triangle is \(15\). Find the measure of the hypotenuse in simplest form. Equation Transcription: Text Transcription: 15

The length of a diagonal of a square is \(4 \sqrt{2}\) inches. a. Find the length of a side of the square. b. Find the perimeter of the square. Equation Transcription: Text Transcription: 4 sqrt 2

Find each missing measure. Write radicals in simplest form. Round decimals to the nearest tenth.

Find each missing measure. Write radicals in simplest form. Round decimals to the nearest tenth.

Find each missing measure. Write radicals in simplest form. Round decimals to the nearest tenth.

Find each missing measure. Write radicals in simplest form. Round decimals to the nearest tenth.

The steepest grade of any standard railway system in the world is in France between Chedde and Servoz. The track rises \(1\) foot for every \(11\) feet of run. Find the measure of the angle formed by the track and the run. Equation Transcription: Text Transcription: 1 11

Make a hypsometer by following these steps. a. Tape a protractor on an index card so that both zero points align with the edge of the card. Mark the center of the protractor on the card and label it \(C\). Then mark and label every \(10^{\circ}\) on the card like the one shown below. b. Tie a piece of string to a large paper clip. Attach the other end of the string to the index card at \(C\). c. Tape a straw to the edge of the index card that contains \(C\). Equation Transcription: Text Transcription: C 10 degrees

To use the hypsometer, look through the straw at an object like the top of your classroom door. Ask another student to read the angle from the scale. This is the angle of elevation.

Use your hypsometer to find the angle of elevation to the top of a tree or flagpole on your school property. Also, measure the distance from the hypsometer to the ground and from your foot to the base of the tree.

Make a sketch that you can use to find the height of the tree. Use your measurements from Exercise 3.

Explain how you can use trigonometry to find the height of the tree. Then find the height of the tree.

Choose the correct term to complete each sentence. A (perfect square, trigonometric ratio) is a ratio of the measures of two sides of a right triangle.

Choose the correct term to complete each sentence. The symbol used to indicate a square root is called a (radical sign, tangent).

Choose the correct term to complete each sentence. (Square roots, Trigonometry) can be used to find the measures of unknown angles as well as unknown sides of a right triangle.

Choose the correct term to complete each sentence. The number 25 is an example of a (perfect square, radical expression).

Choose the correct term to complete each sentence. The opposite of squaring is finding a(n) (angle of elevation, square root).

Choose the correct term to complete each sentence. Sine, tangent, and (radical sign, cosine) are three common trigonometric ratios.

Choose the correct term to complete each sentence. Parallel lines and alternate interior angles can be used to show that the angle of elevation and the (tangent, angle of depression) are congruent.

Choose the correct term to complete each sentence. A simplified definition of (tangent, sine) is opposite over adjacent.

Choose the correct term to complete each sentence. The (angle of depression, angle of elevation) is below the line of sight.

Choose the correct term to complete each sentence. Cosine and (sine, tangent) are both trigonometric ratios that use the hypotenuse.

Simplify each expression. \(\sqrt{36}\) Equation Transcription: Text Transcription: sqrt36

Simplify each expression. \(\sqrt{56}\) Equation Transcription: Text Transcription: sqrt56

Simplify each expression. \(\frac{\sqrt{25}}{\sqrt{10}}\) Equation Transcription: Text Transcription: sqrt25 /sqrt10

Simplify each expression. \(\frac{2}{\sqrt{6}}\) Equation Transcription: Text Transcription: 2/sqrt6

Simplify each expression. \(\sqrt{6} \cdot \sqrt{8}\) Equation Transcription: Text Transcription: sqrt6 cdot sqrt8

Simplify each expression. \(\sqrt{3} \cdot \sqrt{18}\) Equation Transcription: Text Transcription: sqrt3 cdot sqrt18

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find each tangent. Round to four decimal places, if necessary. tan W

Find each tangent. Round to four decimal places, if necessary. tan Z

Find the missing measure. Round to the nearest tenth.

Find each sine or cosine. Round to four decimal places, if necessary. sin A

Find each sine or cosine. Round to four decimal places, if necessary. cos B

Find each sine or cosine. Round to four decimal places, if necessary. cos A

Find each missing measure. Round to the nearest tenth.

Find each missing measure. Round to the nearest tenth.

Alyssa has a square piece of construction paper with a perimeter of 68 inches. Suppose she cuts the paper diagonally to form two congruent triangles. To the nearest inch, what is the sum of the perimeters of the two triangles?

A forest ranger sights a tree through a surveying instrument. The angle of elevation to the top of the tree is 27°. The instrument is 4 feet above the ground. The surveyor is 100 feet from the base of the tree. To the nearest foot, how tall is the tree? (Lesson 13–4)

Mr. Boone is building a wooden ramp to allow people who use wheelchairs easier access to the public library. The ramp must be 2 feet tall. Find the angle of elevation if the ramp begins 24 feet away from the library. Round to the nearest tenth. (Lesson 13–4)

Define the term perfect square and list all perfect squares less than 100.

Compare and contrast angles of elevation and angles of depression.

Simplify each expression. \(\frac{\sqrt{3}}{\sqrt{7}}\) Equation Transcription: Text Transcription: sqrt3 /sqrt7

Simplify each expression. \(\sqrt{44}\) Equation Transcription: Text Transcription: sqrt44

Simplify each expression. \(\sqrt{6} \cdot \sqrt{3}\) Equation Transcription: Text Transcription: sqrt6 cdot sqrt3

Simplify each expression. \(\sqrt{\frac{16}{3}}\) Equation Transcription: Text Transcription: sqrt16/3

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find the missing measures. Write all radicals in simplest form.

Find each trigonometric ratio. Round to four decimal places, if necessary. sin Q

Find each trigonometric ratio. Round to four decimal places, if necessary. tan P

Find each trigonometric ratio. Round to four decimal places, if necessary. cos Q

Find each missing measure. Round to the nearest tenth.

Find each missing measure. Round to the nearest tenth.

Find each missing measure. Round to the nearest tenth.

Vincent’s rectangular hamster cage is 18 inches wide. He would like to divide the cage into two triangular areas to separate his two hamsters. How long must the divider be in order to completely separate the two areas?

A train travels 5000 meters along a track whose angle of elevation has a measurement of 3°. How much did the train rise during this distance? Round to the nearest tenth.

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. If you double the length and the width of a rectangle, how does its perimeter change? (Lesson 9–2) A. It increases by \(1 \frac{1}{2}\) B. It doubles. C. It quadruples. D. It does not change. Equation Transcription: Text Transcription: 1 1/2

After you work on each problem, record your answer on the answer sheet provided or on a sheet of paper. Bacteria are growing at a rate of 1.3 ? 105 per half hour. There are 5 ? 105 bacteria. How many are there after 2 hours? (Algebra Review) A. 2.26 ? 105 B. 5.2 ? 105 C. 6.3 ? 105 D. 1.02 ? 106

S is the set of all n such that 0 < n < 100 and \(\sqrt{n}\) is an integer. What is the median of the members of set S? (Statistics Review) A. 5 B. 5.5 C. 25 D. 50 E. 99 Equation Transcription: Text Transcription: sqrtn

For all integers n ? 1, let < n > = \(\frac{n+1}{n-1}\). Which is greatest? (Algebra Review) A. < 0 > B. < 2 > C. < 3 > D. < 4 > E. < 5 > Equation Transcription: Text Transcription: n+1/n-1

What is the value of \(\frac{2 \times 4}{36 \div 2-5 \times 2}\)? (Algebra Review) A. -9.9 B. 1 C. \(\frac{4}{11}\) D. \(-\frac{1}{3}\) Equation Transcription: Text Transcription: 2 times 4 /36 div 2 - 5 times 2 4/11 -1/3

If the perimeter of rectangle ABCD is p and \(x=\frac{2}{3} y\), what is y? (Lesson 9-2) Note: Figure not drawn to scale. A. \(\frac{p}{10}\) B. \(\frac{3 p}{10}\) C. \(\frac{p}{3}\) D. \(\frac{2 p}{5}\) E. \(\frac{3 p}{5}\) Equation Transcription: Text Transcription: x=2/3 y p/10 3p/10 p/3 2p/5 3p/5

In the figure, \(\overline{A C} \| \overline{E D}\). If BD = 3, what is BE? (Lesson 4-3) A. 3 B. 4 C. 5 D. \(3 \sqrt{3}\) E. It cannot be determined from the information given. Equation Transcription: Text Transcription: overline AC || overline ED 3 sqrt3

What is the difference between the mean of Set B and the median of Set A? (Statistics Review) Set A: {2, -1, 7, -4, 11, 3} Set B: {12, 5, -3, 4, 7, -7} A. -0.5 B. 0 C. 0.5 D. 1

For a July 4th celebration, members of the school band wrap red, white, and blue ribbons around a circular bandstand. Its radius is 25 feet. If each colored ribbon is used once around the bandstand, about how many feet of ribbon are needed to encircle it? (Lesson 11–5)

Mr. Huang has a rectangular garden that measures 15 meters by 20 meters. He wants to build a concrete walk of the same width around the garden. His budget for the project allows him to buy enough concrete to cover an area of 74 m2. (Lesson 1-6) Part A: Draw a diagram of the walk. Part B: How wide can he build the walk?