幾何
三角形、圓、解析幾何與證明題。
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question 5 0 / 5 points a line segment, pq, is given in the figure. fin…
D) \(\overline{AB}\)
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which equation can be used to find the surface area of the cylinder? $s…
\(S = 2\pi(3)^{2}+2\pi(3)(14)\) (the fourth option in the original problem layout)
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two angles in a triangle measure 33° and 112°. what is the measure of t…
\(35^{\circ}\)
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graham joined two congruent square pyramids to form the composite solid…
\(147.2\space cm^{2}\)
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14. why should you take notes when doing research? to record and rememb…
to record and remember information accurately
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a kite was broken into two triangles. what is the height, h, of one of …
\(7\) ft
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the solid glass award that jillian was given has a total height of 15 i…
\(152\ in^{3}\)
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triangles jgh and klm are shown. gj = 8.1, jh = 6.6, lk = 8.1 and km = …
Sarah is correct because two sides and the included angle of \(\triangle GJH\) are equal to two sides and the included angle of \(\triangle LKM\) (by the SAS triangle congruence t…
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24 fill in the blank 1 point select the angle that correctly completes …
# Explanation: ## Step1: Recall Law of Cosines The Law of Cosines is \( c^2 = a^2 + b^2 - 2ab\cos(C) \), where \( C \) is the angle opposite side \( c \). ## Step2: Identify Sides…
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pre-algebra ic sem 2 fall 2025 two - and three - dimensional geometry w…
\(41\)
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pre-algebra ic sem 2 fall 2025 two - and three - dimensional geometry n…
\(79^{\circ}\)
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two isosceles triangular prisms were joined at their bases to form the …
# Explanation: ## Step1: Calculate the area of the two parallelograms with sides 5 and 10 The area of a parallelogram is \(base\times height\). Here, the two parallelograms have t…
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pre-algebra ic sem 2 fall 2025 two - and three - dimensional geometry w…
\(V = 7(8)(12)+\frac{1}{3}(2)(8)(12)\)
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pre-algebra ic sem 2 fall 2025 two - and three - dimensional geometry w…
# Explanation: ## Step1: Recall the formula for the area of a triangle The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). ## Step2: Identify the …
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in the diagram, point c represents the center of the sphere. diego says…
Gregoire is correct; the diameter is a chord that passes through the center of the sphere.
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an advertisement for the state fair will be painted on one of four silo…
Silo D
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which expression can be used to find the area of the rectangle shown on…
\(8\times7\)
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soon-yis house has a hexagonal window made up of six identical equilate…
\(\frac{1}{2}\times7\times8\)
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a sphere and a cylinder have the same radius and height. the volume of …
\(14m^{3}\)
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which equation can be used to find the volume of the cylinder? $v=pi(12…
\( V=\pi(6)^{2}(8) \)
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jeremy constructed this solid by combining two rectangular prisms and a…
322 square meters
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a sphere has a radius of 16 in. which statements about the sphere are t…
The sphere has a diameter of 32 in, The radius's length is one - half the length of the diameter, The volume of the sphere is \(\frac{16384}{3}\pi\) \(in^{3}\)
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2 multiple choice 1 point what is another way to represent an angle in …
\(170^{\circ}\) (the second option)
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1. a box of golf balls is shown below. the diameter of one golf ball is…
### Question 2: # Explanation: ## Step1: Recall the volume formula for a cone The volume \( V \) of a cone is given by the formula \( V = \frac{1}{3}\pi r^2 h \), where \( r \) is…
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a sphere has a diameter of 8 cm. which statements about the sphere are …
- The volume of the sphere is \(\frac{256}{3}\pi\space\text{cm}^{3}\). - The sphere has a radius of \(4\) cm. - The diameter's length is twice the length of the radius.
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matching 1 point match each angle measure in degrees in the left column…
I. F. \(\frac{\pi}{3}\) II. B. \(-\frac{\pi}{12}\) III. D. \(-\frac{10\pi}{9}\) IV. E. \(-\frac{3\pi}{5}\) V. A. \(\frac{\pi}{8}\) VI. C. \(\frac{4\pi}{3}\)
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learning target: i can apply the properties of triangles to solve angle…
The sum of the interior angles is \( 2520^{\circ} \). ### 10b)
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the rectangle to the right has width 7x^4 feet and length 9x^3 feet. fi…
\( 63x^{7} \) square feet
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lianne drew a sphere with a radius of 7 in. she calculated its volume a…
\(1372\)
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a sphere has a radius of 4 in. which equation finds the volume of the s…
\(V=\frac{4}{3}\pi(4)^{3}\)
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a sphere has a diameter of 10 in. what is the volume of the sphere? $v …
\(V=\frac{500}{3}\pi\text{ in}^3\) (the first option)
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which statement about a sphere is true? the great circle of a sphere is…
The length of the diameter of a sphere is two times the length of the radius of the sphere.
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10. you are scooping popcorn from a gigantic bag and pouring it into a …
\(3\)
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a sphere has a diameter of 12 ft. what is the volume of the sphere? giv…
\(288\)
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what is the exact volume of a sphere with diameter 12 meters? do not ro…
\(288\pi\)
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a sphere has radius of 3 cm. what is the volume of the sphere? v = 288π…
\(V = 36\pi\space cm^{3}\)
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the diameter of a sphere is a fixed point equidistant from all points o…
a chord that passes through the center of the sphere.
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calculating the volume of a sphere given diameter this sphere has a dia…
\( V = \frac{125}{6}\pi\ m^{3} \)
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lara found the volume of a sphere with a diameter of 10. laras work $v …
No, she used the diameter instead of the radius measure.
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2. the estimated volume for a sphere is 904.32 ft³. what is the radius …
The radius of the sphere is \(6\space ft\).
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pre - algebra ic sem 2 fall 2025 introduction to the volume of a sphere…
The radius is half the diameter; The volume of the sphere is two - thirds the volume of a cylinder with the same radius and height.
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what is the volume of a sphere with a radius of 7 cm? sphere $v = \\fra…
\(\frac{1372}{3}\)
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calculating the volume of a sphere given diamete what is the volume of …
\(\frac{9}{2}\)
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which sphere has a volume of 0.288π in³?
The sphere with radius \(0.6\) in. (the bottom - right sphere) has a volume of \(0.288\pi\space in^{3}\)
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learning target: i can apply the properties of real numbers 1) for each…
Transitive Property of Equality (or more accurately, the Property of Equality stating that if two quantities are equal to the same quantity, they are equal to each other) ### 1b)
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consider the sphere. identify the parts of a sphere. represents the dia…
\(b\) and \(d\) represent the diameter; \(a\) represents the radius.
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identify the scale factor used to graph the image below. k =
\( \frac{1}{2} \)
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pablo folds a straw into a triangle with side lengths of (4x^{2}-3) inc…
A. \( 12x^2 - 6 \); 21 inches
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half of a cylinder is attached to a triangular prism as shown in the di…
\(V = 480 + 96\pi\mathrm{in}^{3}\) (the third option)
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11. identify the scale factor used to graph the image below. k =
\( 3 \)
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consider the composite solid below. what solids are combined to create …
A pentagonal pyramid and a pentagonal prism.
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10. graph the image of the triangle below using a scale factor of ( k =…
\( X'(-6, 6) \) \( Y'(0, 3) \) \( Z'(-12, -3) \)
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an artist makes a sculpture by placing a clay sphere on a cylinder fill…
\(V=\frac{4}{3}\pi r^{3}+\pi - 1.4\) \(cm^{3}\) (the first option)
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a water tank, in the shape of a cone on top of a cylinder, is shown bel…
\(V = 432\pi m^{3}\) (the fourth option)
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a farmer is designing a rectangular area for his chickens. he has 240 f…
C. 60 ft, 120 ft, 60 ft
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what is the volume of a sphere with a radius of 6 mm? sphere $v = \\fra…
\(V = 288\pi\) mm³
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a sphere has a radius of 5 inches. what is its volume? sphere $v = \\fr…
\(\frac{500}{3}\)
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a sphere has a radius of 5 inches. what is its volume? sphere $v = \\fr…
\(\frac{500}{3}\)
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the area of the figure to the right is (x + 5)(x + 8). find another exp…
\( x^{2}+13x + 40 \)
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simplify the scale factor and write it as a proper fraction, improper f…
Translation: \((x,y)\to(x,y + 9)\) (because for point \(C(-6,-8)\) in original (purple) figure and \(C'(0,0)\) in the green figure, \(x\) changes from \(-6\) to \(0\) (a change of…
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what is the volume of a right cylinder with a height of 5 centimeters a…
\(80\pi\space cm^{3}\) (the third option)
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the area of the entire rectangle to the right is x(x + 4). find another…
\( x^2 + 4x \)
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7. graph the image of the triangle below using a scale factor of ( k = …
To solve these problems, we'll focus on problem 7 as an example (the process is similar for others). Let's assume the coordinates of the original triangle's vertices (from the gri…
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an oblique cone has a height that is 12 centimeters more than the radiu…
\(\frac{1}{3}\pi r^{3}+4\pi r^{2}\) (the first option)
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a pipe is cylindrical in shape. its length is 40 meters and it has a di…
\(100\pi\mathrm{L}\) (the second option)
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6. trapezoid defg with vertices d(-5,15), e(10,10), f(10,5), and g(-5,0…
\(D'(-1, 3)\) \(E'(2, 2)\) \(F'(2, 1)\) \(G'(-1, 0)\)
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what is the volume of a right cone with a height of 12 centimeters and …
A. \(64\pi cm^{3}\)
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1) you can transform △wxy to △wxy by translating it and then performing…
Translation: \((x,y)\to(x - 5,y + 6)\), Scale factor: \(4\)
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directions: graph and label each figure and its image under the given d…
\(A'(-12, 3)\) \(B'(-6, 9)\) \(C'(0, -6)\) \(D'(-15, -6)\) ### Problem 2: Triangle \(LMN\) with \(L(2,-8)\), \(M(12,8)\), \(N(14,-4)\), \(k=\frac{1}{2}\)
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3. rectangle pqrs with vertices p(5,15), q(15,15), r(15,10), and s(5,10…
\(P'(4, 12)\), \(Q'(12, 12)\), \(R'(12, 8)\), \(S'(4, 8)\)
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in the diagram below, \\( \\overline { a d } \\parallel \\overline { e …
\(m\angle FBC = 73^{\circ}\)
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2. triangle lmn with vertices ( l(2,-8) ), ( m(12,8) ), and ( n(14,-4) …
\(L'(1, -4)\) \(M'(6, 4)\) \(N'(7, -2)\)
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step statement reason 1 \\( \\angle a \\cong \\angle c \\) \\( \\overli…
5
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step statement reason 1 ∠dbc ≅ ∠dcb given ab ≅ ac 2 db ≅ dc in a triang…
The first unjustified step is step 2.
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directions: graph and label each figure and its ima 1. quadrilateral ( …
\(A'(-12, 3)\) \(B'(-6, 9)\) \(C'(0, -6)\) \(D'(-15, -6)\)
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determine if the figure has line, point, and/or rotational symmetry. ch…
- Line Symmetry - Point Symmetry - Rotational Symmetry
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step statement reason 1 ( overline{ab} cong overline{cd} ) ( overline{b…
6
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hw 4: symmetry determine if the figure has line, point, and/or rotation…
None of the above
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consider this cylinder. use the formula for the volume of a cylinder to…
The area of the base is \( 25\pi\space cm^{2} \) and the volume of the cylinder is \( 312.5\pi\space cm^{3} \).
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determine if the figure has line, point, and/or rotational symmetry lin…
- Line Symmetry (checked) - Point Symmetry (checked) - Rotational Symmetry (checked) - None of the above (unchecked)
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determine if the figure has line, point, and/or rotational symmetry. ch…
Rotational Symmetry
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determine if the figure has line, point, and/or rotational symmetry. ch…
Line Symmetry
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determine if the figure has line, point, and/or rotational symmetry. ch…
- Line Symmetry - Point Symmetry - Rotational Symmetry
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determine if the figure has line, point, and/or rotational symmetry. ch…
Line Symmetry
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2 in parallelogram abcd on the right, given ae and cf are the perpendic…
For problem 2: - First blank: \(CFD\) - Second and third blanks: \(AB\), \(CD\) - Fourth and fifth blanks: \(\angle AEB\), \(\angle CFD\) - Sixth and seventh blanks: \(\angle ABE\…
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determine if the figure has line, point, and/or rotational symmetry. ch…
Line Symmetry
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determine if the figure has line, point, and/or rotational symmetry. ch…
- Line Symmetry (checked) - Rotational Symmetry (checked) - Point Symmetry (not checked) - None of the above (not checked) So the correct options are: - Line Symmetry - Rotational…
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step statement reason 1 2 3 note: is a segment.
Segment Addition Postulate.
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a cone has a height of 2.5 in. and a radius of 5 in. what is the volume…
\(65.42\ \text{in}^{3}\)
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hw 4: symmetry determine if the figure has line, point, and/or rotation…
- Line Symmetry (checked) - Point Symmetry (checked) - Rotational Symmetry (checked) - None of the above (unchecked)
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step statement reason 1 ae || df ae ≅ df ab ≅ cd given 2 ∠a ≅ ∠d parall…
\(BC\cong BC\)
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what is the volume of a cone with radius of 5 inches and height of 3 in…
\(V=\frac{1}{3}\pi\times5^{2}\times3\) in.\(^{3}=25\pi\) in.\(^{3}\)
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11. rhombus ghij with vertices g(-1, -3), h(3, -4), i(4, -8), and j(0, …
(Part a - Translation): \( G'(3, 7) \) \( H'(7, 6) \) \( I'(8, 2) \) \( J'(4, 3) \)
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the volume of a cone is $36\\pi\\text{ in}^3$. what is the volume of a …
\(108\pi\space in^{3}\)
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check again ●the five conditions of a parallelogram ① two pairs of oppo…
In $\triangle AEH$ and $\triangle CGF$. $AH = CF$. $AE = CG$. $\angle EAH=\angle FCG$. sides, angle. $\triangle AEH\cong\triangle CGF$. $EH = GF$. $\triangle GDH$, $EF = GH$. two,…
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an ice cream cone has a diameter of 6 inches and a height of 7 inches. …
\(21\)
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write a polynomial that describes the area of the shaded region the are…
\(x^{2}+12x + 32\)
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raj, amit, parul, and lara were asked to find the volume of the followi…
Parul
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7. what will be the coordinates of point n after a 270° counterclockwis…
\( N'(-2, 1) \)
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the volume of a cylinder is $40\\ ft^{3}$. which expression represents …
\(\frac{1}{3}(40)\text{ ft}^3\)