Chapter 9

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$7$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. A(-1,3), B(8,-6)

Find each square root. $$ \sqrt{25} $$

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$0.5555 \ldots$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$M(4,-2), N(-6,-7)$$

Find each square root. $$-\sqrt{64}$$

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$-\frac{3}{4}$$

GEOMETRY Triangle \(E F G\) has vertices \(E(1,4), F(-3,0),\) and \(G(4,-1) .\) Find the perimeter of \(\triangle E F G\) to the nearest tenth.

If \(c\) is the measure of the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. $$a=8, b=?, c=17$$

Find each square root \(\pm \sqrt{81}\)

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$\sqrt{12}$$

ARCHAEOLOGY An archaeologist creates a coordinate system to record where artifacts were discovered. A unit on the grid represents 5 feet. Find the distance between two artifacts if one artifact was found at \((-3,1)\) and the other was found at \((-6,-5)\) on the grid. Round to the nearest tenth.

If \(c\) is the measure of the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. $$a=?, b=24, c=25$$

SHADOWS At the same time a 10 -foot flagpole casts an 8 -foot shadow, a nearby tree casts a 40 -foot shadow. How tall is the tree?

Find each square root. \(\sqrt{25}\)

Triangle \(E F G\) has angles whose measures are in the ratio 1: 5: 9. What are the measures of the angles?

Replace each \(\odot\) with \(<,>,\) or \(=\) to make a true statement. $$6 \frac{4}{5} \odot \sqrt{48}$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$J(5,-4), K(-1,3)$$

Kendra is flying a kite. The length of the kite string is 55 feet, and she is positioned 40 feet away from the point directly beneath the kite. About how high is the kite in feet?

Use a calculator to find each square root to the nearest tenth. \(-\sqrt{32}\)

Classify each angle as acute, obtuse, right, or straight. $$55^{\circ}$$

Replace each \(\odot\) with \(<,>,\) or \(=\) to make a true statement. $$-\sqrt{74} \odot-8 . \overline{4}$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$C(-7,2), D(6,-4)$$

The lengths of three sides of a triangle are given. Determine whether each triangle is a right triangle. $$5 \mathrm{cm}, 7 \mathrm{cm}, 8 \mathrm{cm}$$

Estimate each square root to the nearest integer. Do not use a calculator. $$\sqrt{66}$$

Classify each angle as acute, obtuse, right, or straight. $$140^{\circ}$$

Order each set of numbers from least to greatest. $$3 . \overline{7}, 3 \frac{3}{5}, \sqrt{13}, \frac{10}{3}$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$E(-1,-2), F(9,-4)$$

The lengths of three sides of a triangle are given. Determine whether each triangle is a right triangle. $$20 \mathrm{ft}, 48 \mathrm{ft}, 52 \mathrm{ft}$$

Order each set of numbers from least to greatest. $$\sqrt{110}, 10 \frac{1}{5}, 10 . \overline{5}, 10.15$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$V(8,-5), W(-3,-5)$$

A baseball diamond is actually a square with an area of 8100 square feet. The Cincinnati Reds cover their diamond with a tarp to protect it from the rain. The sides are all the same length. How long is the tarp on each side?

Solve each equation. Round to the nearest tenth, if necessary. $$y^{2}=25$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$S(-9,0), T(6,-7)$$

Find each square root. $$\sqrt{16}$$

Solve each equation. Round to the nearest tenth, if necessary. $$3 m^{2}=222$$

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$M(0,0), N(-7,-8)$$

Find each square root. $$\sqrt{49}$$

LANDSCAPING A sprinkler waters a circular area of the lawn as shown. The formula \(A=3.14 r^{2}\) measures the distance \(r\) the sprinkler shoots water within a circular area \(A .\) How far is the sprinkler shooting water if it waters an area of 572.6 square feet? Round to the nearest tenth. (figure can't copy)

Write a proportion. Then determine the missing measure. RIDES Suppose a roller coaster casts a shadow of 31.5 feet. At the same time, a nearby Ferris wheel casts a 19 -foot shadow. A sign says the roller coaster is 126 feet tall. How tall is the Ferris wheel?

Find each square root. $$-\sqrt{1}$$

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$8$$

Write a proportion. Then determine the missing measure. ANIMALS At the same time a baby giraffe casts a 3.2 -foot shadow, a 15 -foot adult giraffe casts an 8 -foot shadow. How tall is the baby giraffe?

Find each square root. $$-\sqrt{25}$$

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$\frac{1}{2}$$

LANDSCAPING Len set up a coordinate system with units of feet to locate the positions of his flowers. He planted hostas at \((1,5)\) and a rose bush at \((-6,3) .\) How far apart are the two plants? Round to the nearest tenth of -a foot.

Find each square root. $$\pm \sqrt{100}$$

Name all of the sets of numbers to which each real number belongs. Let \(\mathbf{N}=\) natural numbers, \(\mathbf{W}=\) whole numbers, \(\mathbf{Z}=\) integers, \(\mathbf{Q}=\) rational numbers, and I = irrational numbers. $$\frac{2}{5}$$

ZOO Beth is looking at a map of the zoo that is laid out on a coordinate system. Beth is at \((1,-1) .\) The gorilla house is at \((-2,-4)\) and the reptile exhibit is at \((3,2) .\) Is Beth closer to the gorilla house or the reptile exhibit?

If \(c\) is the measure of the hypotenuse, find each missing measure. Round to the nearest tenth, if necessary. $$a=30, b=?, c=50$$