name stringlengths 14 16 | image imagewidth (px) 73 2.03k | annotation imagewidth (px) 73 2.03k | question stringlengths 6 942 | bbox stringlengths 14 20 |
|---|---|---|---|---|
math_diagram_455 | If x = 32 and r = 18, what is the length of the arc shown in the figure above? | [40, 0, 550, 329] | ||
math_diagram_752 | 如图，PA是⊙O的切线，切点为A，OP＝4，∠APO＝30°，则⊙O的半径长为（） | [0, 0, 121, 86] | ||
math_diagram_694 | 如图，在菱形ABCD中，M、N分别是BC和CD的中点，NP⊥AB于点P，连接MP．若∠DAB＝40°，则∠MPB＝（） | [3, 3, 155, 82] | ||
math_diagram_721 | How many odd functions are in the graph? | [0, 0, 440, 296] | ||
math_diagram_58 | Does Firebrick have the maximum area under the curve? | [7, 11, 756, 397] | ||
math_diagram_446 | 如图，在△ABC中，点D是△ABC的内心，连接DB，DC，过点D作EF∥BC分别交AB、AC于点E、F，若BE+CF＝8，则EF的长度为（） | [0, 0, 141, 102] | ||
math_diagram_617 | The magnitude of the acceleration vector a is $10 \mathrm{~cm} / \mathrm{s}^2$. Use the figure to estimate the normal components of $\mathbf{a}$.
| [38, 62, 424, 449] | ||
math_diagram_453 | Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. | [0, 1, 341, 115] | ||
math_diagram_999 | The magnitude of the acceleration vector a is $10 \mathrm{~cm} / \mathrm{s}^2$. Use the figure to estimate the tangential components of $\mathbf{a}$.
| [38, 62, 424, 449] | ||
math_diagram_566 | 如图，已知△ABC≌△DEF，CD平分∠BCA，若∠A＝22°，∠CGF＝88°，则∠E的度数是（） | [0, 0, 88, 88] | ||
math_diagram_489 | For trapezoid ABCD shown above, AB = 24, AD = 23, and BC = 16. What is the length of segment CD? | [5, 27, 407, 233] | ||
math_diagram_304 | In the figure above, two line segments meet at a point on line l. If the value of y is equal to the square of the value of x, what is the value of y? | [1, 13, 403, 191] | ||
math_diagram_55 | 如图，一块直角三角板60°的角的顶点A与直角顶点C分别在两平行线FG，DE上，斜边AB平分∠CAG，交直线DE于点H，则∠BCH的大小为（） | [3, 3, 171, 122] | ||
math_diagram_426 | 如图，若DE是△ABC的中位线，△ADE的周长为1，则△ABC的周长为（） | [0, 0, 153, 110] | ||
math_diagram_684 | $\overline{CH} \cong \overline{KJ}$. Find $x$. | [48, 0, 564, 397] | ||
math_diagram_823 | You can see how organisms are interconnected from the diagram given. What will be the effect if all the Killer whales are removed? | [5, 6, 1145, 1071] | ||
math_diagram_622 | 如图，在△ABC中，D是BC上的点，且BD＝2，DC＝1，S△ACD＝12，那么S△ABC等于（） | [3, 3, 143, 89] | ||
math_diagram_235 | Is the epigraph of a function f an infinite set? | [0, 0, 411, 265] | ||
math_diagram_826 | Which is the largest part of the lung? | [116, 44, 505, 462] | ||
math_diagram_192 | As shown in the figure, the diameter CD of ⊙O crosses the midpoint G of chord EF, ∠DCF = 20.0, then ∠EOD is equal to () | [0, 0, 100, 126] | ||
math_diagram_32 | 如图，在ABCD中，AB＝AC，∠CAB＝40°，则∠D的度数是（） | [3, 3, 165, 97] | ||
math_diagram_687 | What could happen that would increase the number of krill? | [0, 0, 575, 394] | ||
math_diagram_697 | As shown in the figure, in the parallelogram ABCD, it is known that AB = 6.0, BC = 9.0, ∠B = 30.0, then the area of the parallelogram ABCD is () | [0, 0, 202, 65] | ||
math_diagram_166 | Which Shape is missing? | [11, 0, 2010, 792] | ||
math_diagram_421 | An elevator cab of mass $m=500 \mathrm{~kg}$ is descending with speed $v_i=4.0 \mathrm{~m} / \mathrm{s}$ when its supporting cable begins to slip, allowing it to fall with constant acceleration $\vec{a}=\vec{g} / 5$.
During the $12 \mathrm{~m}$ fall, what is the work $W_T$ done on the cab by the upward pull $\vec{T}$ ... | [14, 20, 532, 1177] | ||
math_diagram_944 | What is the perimeter of the shape? | [1, 1, 256, 239] | ||
math_diagram_633 | In the figure, $m∠1 = 123$. Find the measure of $\angle 14$. | [11, 9, 345, 325] | ||
math_diagram_15 | Which organism with be most affected if algae was eliminated? | [15, 13, 395, 219] | ||
math_diagram_576 | Which part of the human brain is the largest and most anterior part of each cerebral hemisphere? | [9, 10, 754, 614] | ||
math_diagram_141 | As shown in the figure, AB is a long ladder leaning on the wall, the foot of the ladder B is away from the wall 1.6, the point D on the ladder is away from the wall 1.4, the length of BD is 0.55, then the length of the ladder is () | [0, 1, 77, 127] | ||
math_diagram_195 | 如图，AB是⊙O的直径，C，D两点在⊙O上，∠BCD＝25°，则∠AOD的度数为（） | [3, 3, 107, 92] | ||
math_diagram_267 | What shape of a leaf is similar to Serrate, but has smaller, evenly-spaced teeth? | [1, 3, 523, 298] | ||
math_diagram_269 | As shown in the figure, the elevation angle of the top of a building is 30.0 when viewed from point A in the air by a hot air balloon, and the depression angle of this building is 60.0. The horizontal distance between the hot air balloon and the building is 120.0. The height of this building is () | [0, 0, 130, 156] | ||
math_diagram_726 | Find x. Assume that any segment that appears to be tangent is tangent. | [17, 13, 188, 166] | ||
math_diagram_242 | Find $m \angle A$ of quadrilateral ABCD | [36, 50, 498, 301] | ||
math_diagram_342 | In the figure above, which of the following is the greatest? | [23, 14, 380, 280] | ||
math_diagram_209 | What is the highest value in black line chart ? | [26, 30, 774, 526] | ||
math_diagram_375 | Find the length of $AC$ in the isosceles triangle ABC. | [34, 31, 658, 261] | ||
math_diagram_986 | 如图，在△ABC中，AD是角平分线，AE是高．若∠B＝40°，∠C＝70°，则∠EAD的度数为（） | [0, 0, 100, 67] | ||
math_diagram_643 | As shown in the figure, CD is the diameter of ⊙O, chord DE ∥ OA, if the degree of ∠D is 50.0, then the degree of ∠C is () | [0, 0, 110, 124] | ||
math_diagram_84 | ABCD is a square. Inscribed Circle center is O. Find the the angle of ∠AMK. Return the numeric value. | [36, 30, 1133, 1173] | ||
math_diagram_816 | Find x. Round to the nearest tenth, if necessary. | [11, 32, 314, 250] | ||
math_diagram_791 | Given $V_s$ = 5V, $R_1$ = 1kΩ, $R_2$ = 2.2kΩ, $R_3$ = 2.2kΩ, $R_4$ = 1.5kΩ, and $R_L$ = 4.7kΩ. Determine the voltage and current across $R_L$. Answer in unit of V (3 sig.fig.). | [31, 18, 431, 390] | ||
math_diagram_434 | In the figure above, side AC of triangle ABC is on line l. What is x in terms of k? | [16, 12, 196, 146] | ||
math_diagram_542 | How many models in the figure achieve an Acc score greater than 60? | [5, 18, 1678, 1336] | ||
math_diagram_514 | If you wanted the leaf with the least main veins, which would you choose? | [5, 6, 552, 228] | ||
math_diagram_786 | Find $m \angle K$ | [3, 13, 286, 210] | ||
math_diagram_700 | 如图，⊙O是△ABC的外接圆，AB＝BC＝4，把弧AB沿弦AB向下折叠交BC于点D，若点D为BC中点，则AC长为（） | [0, 0, 141, 129] | ||
math_diagram_333 | Find tan X | [23, 21, 271, 131] | ||
math_diagram_969 | Does Yellow Green have the maximum area under the curve? | [7, 11, 586, 399] | ||
math_diagram_370 | In the diagram of the food web shown, if the number of ferns decrease, the supply of salmon will most likely? | [45, 69, 833, 593] | ||
math_diagram_293 | From the above food web diagram, grasshopper population increase if | [0, 0, 455, 155] | ||
math_diagram_862 | One of the most dramatic videos on the web (but entirely fictitious) supposedly shows a man sliding along a long water slide and then being launched into the air to land in a water pool. Let's attach some reasonable numbers to such a flight to calculate the velocity with which the man would have hit the water. Figure i... | [60, 17, 1248, 599] | ||
math_diagram_540 | What fraction of the shape is blue? | [0, 0, 101, 102] | ||
math_diagram_237 | If the Red squirrel and deer mouse population were to decrease, what would happen to the deer tick population? | [0, 0, 399, 345] | ||
math_diagram_645 | 如图，AC，BD是菱形ABCD的对角线，BH⊥AD于点H，若AC＝4，BD＝3，则BH的长为（） | [3, 3, 136, 110] | ||
math_diagram_675 | As shown in the figure, the cross section of a small reservoir dam is a right trapezoid, the width of crest BC is 6.0, the height of dam is 14.0, and the slope of the slope CD is i = 1.0:2.0, then the length of the dam bottom AD is () | [0, 0, 182, 82] | ||
math_diagram_494 | Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. | [0, 1, 341, 96] | ||
math_diagram_924 | Does Periwinkle have the maximum area under the curve? | [7, 11, 583, 397] | ||
math_diagram_153 | What would be impacted by an increase in owls? | [7, 124, 584, 267] | ||
math_diagram_701 | Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. | [0, 1, 341, 108] | ||
math_diagram_987 | A cross-section of an airplane wing is shown. Measurements of the thickness of the wing, in centimeters, at 20-centimeter intervals are 5.8, 20.3, 26.7, 29.0, 27.6, 27.3, 23.8, 20.5, 15.1, 8.7, and 2.8. Use the Midpoint Rule to estimate the area of the wing's cross-section. | [61, 89, 912, 290] | ||
math_diagram_149 | 如图，直线l1∥l2，∠1＝50°，∠2＝75°，则∠3＝（） | [4, 3, 152, 90] | ||
math_diagram_804 | In $\odot B$, $CE=13.5$. Find $BD$. Round to the nearest hundredth. | [58, 43, 435, 481] | ||
math_diagram_247 | A spaceship of mass $m=4.50 \times 10^3 \mathrm{~kg}$ is in a circular Earth orbit of radius $r=8.00 \times 10^6 \mathrm{~m}$ and period $T_0=118.6 \mathrm{~min}=$ $7.119 \times 10^3 \mathrm{~s}$ when a thruster is fired in the forward direction to decrease the speed to $96.0 \%$ of the original speed. What is the peri... | [5, 55, 906, 865] | ||
math_diagram_77 | Which year showed the largest difference in the data points between the two lines | [25, 30, 773, 526] | ||
math_diagram_35 | 如图，AB是⊙O的直径，EF，EB是⊙O的弦，点E是FEB的中点，EF与AB交于点C，连接OF，若∠AOF＝40°，则∠F的度数是（） | [3, 3, 148, 138] | ||
math_diagram_586 | As shown in the figure, in Rt△ABC, ∠BAC = 90.0, rotate △ABC clockwise around point A by 90.0 to obtain △AB′C′ (the corresponding point of point B is point B′, and the corresponding point of point C is point C ′), connect CC′. If ∠CC′B′ = 32.0, then the size of ∠AC′B′ is () | [0, 0, 79, 74] | ||
math_diagram_286 | 如图，将一根长度为8cm，自然伸直的弹性皮筋AB两端固定在水平的桌面上，然后把皮筋中点C竖直向上拉升3cm到点D，则此时该弹性皮筋被拉长了（） | [1, 1, 247, 79] | ||
math_diagram_819 | Find the value of $t$ in the parallelogram. | [21, 20, 394, 358] | ||
math_diagram_325 | Does Web Purple have the maximum area under the curve? | [7, 11, 444, 388] | ||
math_diagram_397 | 如图，点A、B、C都在半径为2的⊙O上，∠C＝30°，则弦AB长为（） | [0, 0, 72, 69] | ||
math_diagram_977 | 如图，已知AB∥CD，AF与CD交于点E，BE⊥AF，∠B＝65°，则∠DEF的度数是（） | [3, 3, 247, 126] | ||
math_diagram_59 | As shown in the figure, AB is the diameter of ⊙O, CD is the chord of ⊙O, ∠ADC = 26.0, then the degree of ∠CAB is () | [3, 3, 154, 143] | ||
math_diagram_621 | The figure above is composed of 25 small triangles that are congruent and equilateral. If the area of triangle DFH is 10, what is the area of triangle AFK? | [22, 22, 377, 298] | ||
math_diagram_360 | If $\frac{I J}{X J}=\frac{HJ}{YJ}, m \angle W X J=130$
and $m \angle WZG=20,$ find $m \angle YIZ$ | [49, 20, 597, 310] | ||
math_diagram_849 | The 4 8x8 images shown below are encoded with JPEG coding. Based on their expected DCT (Discrete Cosine Transform) coefficients, Which image has the most non-zero AC coefficients? (a): Image A, (b): Image B, (c): Image C, (d): Image D. | [25, 14, 923, 262] | ||
math_diagram_806 | As shown in the figure, AB is the diameter of ⊙O, and point C is on ⊙O. If ∠A = 40.0, then the degree of ∠B is () | [0, 0, 126, 106] | ||
math_diagram_257 | 以直角三角形的三边为边向外作正方形，其中两个正方形的面积如图所示，则正方形A的面积为（） | [0, 0, 105, 116] | ||
math_diagram_724 | Does Rebecca Purple have the minimum area under the curve? | [7, 11, 634, 397] | ||
math_diagram_902 | If the leaf base has an angle greater than 90 degrees, what is it called? | [53, 39, 1446, 1349] | ||
math_diagram_519 | How many Triangles do you see in the picture? | [0, 0, 947, 851] | ||
math_diagram_587 | At 9.0 in the morning, a ship departs from point A and sails in the direction due east at a speed of 40.0 nautical miles per hour, and arrives at point B at 9.0 and 30.0 minutes. As shown in the figure, the island M is measured from A and B. In the direction of 45.0 north by east and 15.0 north by east, then the distan... | [0, 1, 143, 123] | ||
math_diagram_717 | Is \int_1^{\infty} {1\over x^{0.99}} dx finite according to this graph ?
| [0, 0, 313, 349] | ||
math_diagram_105 | Does Dark Violet have the minimum area under the curve? | [7, 11, 726, 397] | ||
math_diagram_521 | As shown in the figure, AB is the diameter of ⊙O, point C is a point on ⊙O, ∠C = 20.0, then the degree of ∠BOC is () | [0, 0, 119, 99] | ||
math_diagram_44 | Chase wants to buy 4 kilograms of oval beads and 5 kilograms of star-shaped beads. How much will he spend? (Unit: $) | [0, 0, 304, 225] | ||
math_diagram_522 | Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. | [0, 1, 341, 85] | ||
math_diagram_952 | Base your answers on the food web below and on your knowledge of biology. A decrease in the Aquatic crustaceans population will most immediately decrease the available energy for the | [25, 24, 449, 250] | ||
math_diagram_628 | 如图，在ABCD中，∠ABC的平分线交AD于点E，∠BCD的平分线交AD于点F，若AB＝3，AD＝4，则EF的长是（） | [3, 3, 148, 108] | ||
math_diagram_17 | 如图，在Rt△ABC中，∠ACB＝90°，D是AB的中点，AB＝10，则CD的长为（） | [3, 3, 122, 169] | ||
math_diagram_246 | Assume that all gases are perfect and that data refer to 298 K unless otherwise stated. In 1995, the Intergovernmental Panel on Climate Change (IPCC) considered a global average temperature rise of $1.0-3.5^{\circ} \mathrm{C}$ likely by the year 2100 , with $2.0^{\circ} \mathrm{C}$ its best estimate. Because water vapo... | [15, 7, 1081, 210] | ||
math_diagram_771 | Base your answers on the diagram of a food chain below and on your knowledge of science. If the population of snakes increases, the population of frogs will most likely | [9, 13, 928, 656] | ||
math_diagram_234 | In the figure shown above, AC = 6. What is the length of segment AB? | [7, 34, 409, 353] | ||
math_diagram_310 | Find z | [23, 10, 329, 196] | ||
math_diagram_483 | As shown in the figure, AB is the diameter of ⊙O, point C is on ⊙O, AE is the tangent of ⊙O, A is the tangent point, connect BC and extend to intersect AE at point D. If ∠AOC = 80.0, then the degree of ∠ADB is () | [0, 0, 164, 128] | ||
math_diagram_339 | 如图，在⊙O中，AB=AC，∠BAC＝70°，则∠AEC的度数是（） | [3, 3, 112, 109] | ||
math_diagram_281 | Was this a square pizza? | [0, 0, 639, 426] | ||
math_diagram_256 | 如图，△ABC中，AD平分∠BAC，AD交BC于点D，DE⊥AB，垂足为E，若DE＝3，AC＝4，则△ADC的面积为（） | [0, 0, 145, 72] | ||
math_diagram_549 | As shown in the figure, PA and PB are tangent to ⊙O to A and B respectively. Point C and point D are the moving points on line segments PA and PB, and CD always remains tangent to circle O. If PA = 8.0, then perimeter of △PCD is () | [0, 0, 191, 110] |
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