幾何
三角形、円、座標幾何、証明問題。
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a cylinder and a cone have the same base and height. the cylinder can h…
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds \(\frac{4712}{3}\approx1571\mathrm{cm}^{3}\) of sand.
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jalen says that the height, radius, and diameter of a cone lie entirely…
The height does not lie on the base because it is perpendicular to the base.
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the volume of a cone is 30π cm³. what is the exact volume of a cylinder…
\(90\pi\)
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a cone has a height of 12 mm and a diameter of 8 mm. what is the volume…
\(64\)
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leslie found the volume of a cone having both a height and diameter of …
No, she forgot to take one - third of the base area times height.
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give each rule for counterclockwise rotations about the origin: 90°: (x…
### Part 1: Rotation Rules #### 90° counterclockwise: ## Step1: Recall rotation rule For a 90° counterclockwise rotation about the origin, the rule is \((x, y) \to (-y, x)\). ####…
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what is the volume of the cone? cone $v = \\frac{1}{3}bh$ $\\frac{490}{…
\(\frac{490}{3}\pi\mathrm{cm}^{3}\)
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3 in quadrilateral abcd on the right, given ab = dc and ad = bc, prove …
For question 3: - First blank: $CDA$ - Second blank: $DC$ - Third blank: $AD$ - Fourth blank: $AC$ - Fifth blank: $sides$ - Sixth blank: $ABC$ - Seventh blank: $CDA$ - Eighth blan…
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which statements about the cone are true? choose four correct answers. …
- The volume is one - third the volume of a cylinder with the same height and diameter. - The radius is 9 mm. - The base area is calculated using the radius. - The volume of the c…
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what is the volume of a cone with a height of 10.5 inches and a radius …
$224$
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what is the relationship between the volume of a cone and the volume of…
The volume of the cone will be one - third that of the cylinder.
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2 in the following quadrilateral abcd, write o if the conditions make q…
(1) \(×\) (2) \(○\) (3) \(×\) (4) \(○\)
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consider the cylinder with a volume of 132π cm³. what is the volume of …
\(44\pi\ cm^{3}\)
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hw 7: relationships in triangles list the angles of \\( \\triangle a b …
\( \angle B \), \( \angle C \), \( \angle A \)
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which cone has a volume of 24π cm³?
The first cone has a volume of \( 24\pi\mathrm{cm}^{3}\).
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hw 7: relationships in triangles list the sides of \\( \\triangle f g h…
GH, FG, FH
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examine the cone. answer the questions about the cone. what is the base…
The base area is \(16\pi\) in² and the volume is \(\frac{88}{3}\pi\) in³.
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hw 7: relationships in triangles if the sides of the triangle have the …
\( 9 < x < 25 \)
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hw 7: relationships in triangles if the sides of the triangle have the …
\( 1 < x < 21 \)
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what can be concluded about a cylinder and a cone with the same height …
- The cone and cylinder have the same base area. - The cone and cylinder have the same diameter. - The volume of the cone is \(\frac{1}{3}\) the volume of the cylinder.
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for the figure below, do a dilation centered at the origin with a scale…
Endpoints of original figure: Left: \((4,2)\) Right: \((8,8)\) Endpoints of final figure: Left: \((2,1)\) Right: \((4,4)\)
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directions: compare the sides and angles by filling in the blank with a…
\( QR < RS \) ### Problem 22: Compare \( AB \) and \( CD \)
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directions: order the sides from least to greatest for 17 - 18, then gr…
s: 17. \( AB < AC < BC \) 18. \( LM < MN < LN \) 19. \( ST > RT > RS \) 20. \( HJ > JK > HK \)
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chapter 4 visual summary directions: complete the graphic organizers be…
- Top Circle: Immigration - Left Circle: Urban Challenges (Government & Urban Growth) - Right Circle (Urbanization): growth of cities (population shift to cities) - Challenges Cir…
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directions: given two sides of a triangle, find a range of possible len…
\(13\) cm \(<\) third side \(< 21\) cm ### Problem 8: 24 ft, 52 ft
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9. the diagram illustrates a birds - eye view of two cell towers and a …
Approximately \( 10.4\space m \) (or \( 10\space m \) depending on the required precision)
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find the area of the triangle. (triangle area $=\\frac{1}{2}\\cdot$ bas…
\(20x^{2}-15x\) square inches
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find the area of the rectangle. (3x + 2) yards (3x - 2) yards the area …
\(9x^{2}-4\) square yards
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name: unit 5: relationships in triangles date: bell: homework 6: triang…
The side lengths \(16\) m, \(21\) m, \(39\) m **cannot** form a triangle. ### Problem 2: 18 in, 6 in, 13 in
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the community center has a lawn for playing games. a scale drawing of t…
Actual length \( = 100\) ft, Actual width \(=60\) ft
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5. which of the following geometric shapes have the same volume? select…
C. A hemisphere with a radius of 5 cm; D. A cone with a radius of 5 cm and a height of 10 cm.
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5. which of the following geometric shapes have the same volume? select…
For question 6: \(3617.28\) cubic feet. For question 7: \(3052.08\) cubic feet.
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4. a cone has a height of 11 meters and a radius of 4 meters. what is t…
\( 184.31\)
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1. a shipping container in the form of a cylinder has a radius of 6 fee…
1. \(6107.3\) cubic feet 2. \(268.08\) cubic feet
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1 a shipping container in the form of a cylinder has a radius of 6 feet…
C. $\frac{7}{3}\pi$
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question 10 1 pts an aboveground swimming pool is 2.75 meters high. the…
48.4 sq m
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a 0.460 - meter diameter concrete pillar is 4.200 meters high. compute …
\( 6.07\space sq\space m \) (the last option, assuming the typo in the option is a formatting error and it should be \( 6.07\space sq\space m \))
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assessment: 25 - 26_hisd_cadfa_g7_mth_e_11.21 5. the measures of the an…
D. 26
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question 8 1 pts a rectangular carton is designed to have a volume of 1…
0.88 m (the option with "0.88 m")
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quiz #8 - geometric figures started: nov 21 at 1:05pm quiz instructions…
\boxed{0.588\ \text{m}} (assuming the correct option is 0.588 m, likely due to rounding in the calculation)
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a solid right circular cylinder is 15.5 centimeters high and contains 1…
\( 7.10\space cm^{2} \) (corresponding to the option "7.10 sq cm")
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unit 3 study guide: coordinate geometry and systems of linear equations…
\(x=\frac{13}{3},y =-\frac{7}{4}\) ### b.
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figure 28 - 17 the bronze bushing is a cylinder measuring 2.750 inches …
# Explanation: ## Step1: Find outer radius Inner diameter \(d_{inner}=1.000\) in, so inner radius \(r_{inner}=\frac{1.000}{2}=0.500\) in. Wall thickness \(t = 0.350\) in, so outer…
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5. finish the sentence with the appropriate word. cada año me ______ co…
C. vacuno (Wait, no—the options are labeled with circles: the first is vacunar (selected), second vacunas, third vacuno. So the correct answer is the third option: vacuno. So the …
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read the excerpt from hidden figures. massaging the monroe calculator a…
the idea that Katherine Goble was assigned new duties
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read the excerpt from hidden figures. building an airplane was nothing …
She misrepresents the author’s ideas.
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4. what is the ratio of the sides for triangle xyc? 1:2:√3 1:1:√3 1:1:√…
\( 1:1:\sqrt{2} \) (the option with this ratio)
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name: amelia b period: 1 date: unit 3 study guide: coordinate geometry …
a. \((\frac{13}{3},-\frac{7}{4})\) b. \((16,-15)\) c. \((-8,-3)\) d. \((3,1)\)
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compute the volume of a right circular cylinder with an altitude of 0.4…
0.12 cu m (corresponding to the option "0.12 cu m")
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3. what is the length of segment su? 16 cm 8 cm 16√2cm 16cm 8cm 8√2cm
\( 8\space cm \) (corresponding to the option with \( 8\space cm \))
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2. what is the length of segment ab? 20cm 10cm 20\\sqrt{3}cm 10\\sqrt{3…
20 cm
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use the formula for radian measure to calculate the measure of a centra…
\( 1.75 \) (or \( \frac{7}{4} \))
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1. what is the measure of angle x? 60° 90° 45° 30°
\( 30^\circ \) (the option with \( 30^\circ \))
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1. parallelogram ( uvwx ) is a dilation of the parallelogram ( uvwx ). …
The scale factor of the dilation is \(\frac{3}{2}\)
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read the excerpt from hidden figures. shetterly describes what happened…
He includes a minor detail.
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similarity in right triangles quiz cp geometry a o / trigonometric rati…
A. \(\triangle LNM\sim\triangle PNO\)
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in a proof of the pythagorean theorem using similarity, what allows you…
the right triangle altitude theorem
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4. write a similarity statement comparing the two triangles.
A. $\triangle LNM \sim \triangle PNO$
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justifying steps in the proof of the pythagorean theorem in a proof of …
the geometric mean (altitude) theorem
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finding a leg length what is the length of side ts? 2√6 units 6√6 units…
\(6\sqrt{6}\text{ units}\)
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5. which of the following $overline{gj}$ is an altitude of $\\triangle …
$\boldsymbol{\overline{GJ}}$ is an altitude of $\boldsymbol{\triangle GJH}$ (the option corresponding to $\overline{GJ}$ is an altitude of $\triangle GJH$)
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finding the length of an altitude the sides of an equilateral triangle …
\(4\sqrt{3}\) units
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2. \\(overline{fg}\\) is the geometric mean of which two segments? \\(o…
D. \( \overline{EG} \) and \( \overline{GH} \) (assuming the last option is labeled D; if the original options have labels, use the correct label with the segments \( \overline{EG…
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applying the geometric mean (altitude) theorem what is the value of ( k…
\(k = 2\)
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what was the original concept of vitruvian man, according to roman engi…
B. For a man to be perfect, his hands and feet would touch the circumference of a circle when extended.
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angle t has a measure between 0° and 360° and is coterminal with a -710…
\(10^\circ\) (corresponding to the option: 10°)
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an angle measuring (525n)° is in standard position. for which value of …
\(n = 6\) (the option is: \(n = 6\))
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applying the geometric mean (altitude) theorem what is the value of k? …
\(4\)
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which expression finds the measure of an angle that is coterminal with …
\(45^\circ + 360^\circ\) (the option with \(45^\circ + 360^\circ\))
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what symbolism does da vinci use in his representation of the last supp…
D. all of the above
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angle x is coterminal with angle y. if the measure of angle x is greate…
C. \( x = y+360n \), for any positive integer \( n \) (assuming the third option in the original problem is labeled as C, with the text "x = y + 360n, for any positive integer n")
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an angle whose measure is - 102° is in standard position. in which quad…
Quadrant III
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what are two possible measures of the angle below? -120° and 90° -120° …
\(-270^{\circ}\) and \(90^{\circ}\) (the second option in the given choices, i.e., the option with \(-270^{\circ}\) and \(90^{\circ}\))
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finding side lengths in a right triangle what is the value of s? units
\(5\sqrt{10}\)
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1. fill in the missing parts of the rectangle. then write an equation s…
The missing part is \(72x\). The equation \(24x(0.5y + 3)=12xy + 72x\)
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which expression finds the measure of an angle that is coterminal with …
\(126^\circ + (720n)^\circ\), for any integer \(n\) (the fourth option, assuming the options are labeled as 1 to 4, with the fourth being \(126^\circ + (720n)^\circ\), for any int…
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applying the geometric mean (leg) theorem what is the value of q? $64\\…
\(4\sqrt{5}\)
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an angle whose measure is - 302° is in standard position. in which quad…
Quadrant I
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applying the geometric mean (leg) theorem what is the value of q? 64√5 …
\(2\sqrt{14}\)
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find the values of x and y. x = 31 (simplify your answer.) y = 2 (simpl…
\(x = 31\), \(y = 2\)
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applying the geometric mean (altitude) theorem what is the value of a? …
\(6\sqrt{2}\)
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finding a segment length what is the value of x and the length of segme…
\(x = 6.6\), Length of \(\overline{DE}=16.2\) units
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which similarity statements are true? check all that apply. △jmk - △kml…
\(\triangle JMK\sim\triangle JKL\), \(\triangle JKM\sim\triangle KML\)
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how many cubic feet of air are heated in a room 286 long, 220 wide, and…
5300 cu ft (assuming one of the options with 5300 cu ft is the correct one, probably the first or second option with 5300 cu ft as the value)
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select all that are measures of angles that are coterminal with a $-50^…
The angles coterminal with \(-50^\circ\) are: - \(-770^\circ\) - \(-410^\circ\) - \(310^\circ\) - \(670^\circ\) (Note: Upon rechecking, \(410^\circ\) was initially miscalculated; …
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given: right triangle abc with altitude cd prove: ( a^{2}+b^{2}=c^{2} )…
The blanks are filled as follows: - First blank: \(\frac{a}{c}=\frac{f}{a}\), cross - multiply to get \(a^{2}=cf\) - Second blank: \(\frac{b}{c}=\frac{e}{b}\), cross - multiply to…
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the graph on the right shows two angles that share the same terminal si…
First blank: \( 360^\circ \) Second blank: \( -360^\circ \)
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compute the volume of a prism with a height of 26.500 centimeters and a…
Assuming a decimal placement error in the problem's given base area (treating 610.00 as 6.10), the volume is \( 16.165 \, \text{cu cm} \). So the correct option (assuming the firs…
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use the geometric mean (leg) theorem. what is the value of a? 7√2 2√70 …
\(2\sqrt{70}\)
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identify which quadrant contains the terminal side of an angle in stand…
- \(75^\circ\): Quadrant I - \(120^\circ\): Quadrant II - \(-30^\circ\): Quadrant IV - \(-200^\circ\): Quadrant II (Note: There was a confusion earlier, but using the coterminal a…
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the triangle def is a dilation of the triangle def. what is the scale f…
\(\frac{1}{3}\)
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1. what are the measures of \\( \\angle 1 \\) and \\( \\angle 2 \\)? a.…
D. \(m\angle1 = 75^{\circ};m\angle2 = 51^{\circ}\)
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17. geometry connection show your work: 1. substitute in row 1 2. simpl…
\(16\mathrm{cm}\)
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16. geometry connection show your work: 1. substitute in row 1 2. simpl…
\(16m^{2}\)
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use the geometric mean (altitude) theorem. what is the value of m? writ…
\(4\sqrt{10}\)
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use the geometric mean (altitude) theorem. what is the value of m? 4 2√…
\(4\)
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identifying a proportion which proportion satisfies the geometric mean …
\(\frac{2}{h}=\frac{h}{3}\)
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which similarity statement is true? △srq ~ △qrt △srq ~ △rts △srq ~ △rtq…
\(\triangle SRQ\sim\triangle TRS\)
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4. triangles acd and bcd are isosceles. angle bac has a measure of 33 d…
# Explanation: ## Step1: Analyze $\triangle BCD$ (isosceles) In isosceles $\triangle BCD$, $BC = BD$ (from markings), so $\angle BCD=\angle BDC = 35^\circ$. Sum of angles in a tri…
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15. geometry connection - surface area include units in answer. use the…
\(504\) square inches