Solve all that
Created on: May 9, 2025
Created on: May 9, 2025
pythonfrom PIL import Image import matplotlib.pyplot as plt img = Image.open('/mnt/data/IMG_5295.jpeg') plt.imshow(img); plt.axis('off') (-0.5, 1169.5, 1463.5, -0.5)
pythonplt.figure(figsize=(4,8)) plt.imshow(img.crop((580,100,720,350))); plt.axis('off') (-0.5, 139.5, 249.5, -0.5)
pythonplt.imshow(img.crop((480,80,730,380))); plt.axis('off') (-0.5, 249.5, 299.5, -0.5)
pythonplt.imshow(img.crop((350,0,760,450))); plt.axis('off') (-0.5, 409.5, 449.5, -0.5)
pythonplt.imshow(img.crop((40,320,340,580))); plt.axis('off') (-0.5, 299.5, 259.5, -0.5)
pythonplt.imshow(img.crop((120,400,500,780))); plt.axis('off') (-0.5, 379.5, 379.5, -0.5)
pythonimg2 = Image.open('/mnt/data/IMG_5294.png') plt.imshow(img2); plt.axis('off') (-0.5, 1169.5, 2531.5, -0.5)
pythonplt.imshow(img2.crop((0,0,460,780))); plt.axis('off') (-0.5, 459.5, 779.5, -0.5)
pythonplt.imshow(img2.crop((0,0,640,1000))); plt.axis('off') (-0.5, 639.5, 999.5, -0.5)
pythonplt.imshow(img2.crop((0,900,640,1700))); plt.axis('off') (-0.5, 639.5, 799.5, -0.5)
pythonplt.imshow(img2.crop((0,850,640,1200))); plt.axis('off') (-0.5, 639.5, 349.5, -0.5)
pythonplt.imshow(img2.crop((0,1150,640,2000))); plt.axis('off') (-0.5, 639.5, 849.5, -0.5)
pythonplt.imshow(img2.crop((0,1700,640,2600))); plt.axis('off') (-0.5, 639.5, 899.5, -0.5)
pythonimg3 = Image.open('/mnt/data/IMG_5293.jpeg') plt.imshow(img3); plt.axis('off') (-0.5, 1169.5, 1579.5, -0.5)
pythonimg4 = Image.open('/mnt/data/IMG_5292.jpeg') plt.imshow(img4); plt.axis('off') (-0.5, 1169.5, 2410.5, -0.5)
pythonplt.imshow(img2.crop((360,60,620,380))); plt.axis('off') (-0.5, 259.5, 319.5, -0.5)
pythonplt.imshow(img2.crop((340,80,480,340))); plt.axis('off') (-0.5, 139.5, 259.5, -0.5)
pythonplt.imshow(img2.crop((440,60,680,380))); plt.axis('off') (-0.5, 239.5, 319.5, -0.5)
pythonplt.imshow(img2.crop((450,50,720,530))); plt.axis('off') (-0.5, 269.5, 479.5, -0.5)
pythonplt.figure(figsize=(2,4)) plt.imshow(img2.crop((620,0,1000,780))); plt.axis('off') (-0.5, 379.5, 779.5, -0.5)
pythonimport math, pprint, json, os, sys 105.29957264870546
pythonplt.imshow(img3.crop((80,410,240,700))); plt.axis('off') (-0.5, 159.5, 289.5, -0.5)
pythonplt.imshow(img3.crop((450,700,700,1000))); plt.axis('off') (-0.5, 249.5, 299.5, -0.5)
pythonplt.imshow(img3.crop((450,830,730,1250))); plt.axis('off') (-0.5, 279.5, 419.5, -0.5)
pythonplt.imshow(img3.crop((450,850,1000,1400))); plt.axis('off') (-0.5, 549.5, 549.5, -0.5)
pythonplt.imshow(img3.crop((190,950,440,1400))); plt.axis('off') (-0.5, 249.5, 449.5, -0.5)
pythonplt.imshow(img3.crop((190,1150,440,1550))); plt.axis('off') (-0.5, 249.5, 399.5, -0.5)
pythonplt.imshow(img3.crop((80,880,450,1240))); plt.axis('off') (-0.5, 369.5, 359.5, -0.5)
pythonplt.imshow(img3.crop((80,650,450,880))); plt.axis('off') (-0.5, 369.5, 229.5, -0.5)
pythonplt.imshow(img3.crop((350,700,730,1100))); plt.axis('off') (-0.5, 379.5, 399.5, -0.5)
pythonvol3 = (1/3)*3.14*(3.1**2)*5.9 vol3 59.34495333333334
pythonvol4 = (1/3)*3.14*(12**2)*9 vol4 1356.48
pythonplt.imshow(img4.crop((0,300,640,600))); plt.axis('off') (-0.5, 639.5, 299.5, -0.5)
pythonplt.imshow(img4.crop((300,60,700,350))); plt.axis('off') (-0.5, 399.5, 289.5, -0.5)
pythonplt.imshow(img4.crop((40,810,480,1400))); plt.axis('off') (-0.5, 439.5, 589.5, -0.5)
pythonplt.imshow(img4.crop((40,1200,480,1700))); plt.axis('off') (-0.5, 439.5, 499.5, -0.5)
pythonplt.imshow(img4.crop((40,1600,480,2200))); plt.axis('off') (-0.5, 439.5, 599.5, -0.5)
pythonplt.imshow(img4.crop((40,2200,480,3000))); plt.axis('off') (-0.5, 439.5, 799.5, -0.5)
pythonplt.imshow(img4.crop((40,1100,440,1600))); plt.axis('off') (-0.5, 399.5, 499.5, -0.5)
pythonplt.imshow(img4.crop((40,1400,440,2200))); plt.axis('off') (-0.5, 399.5, 799.5, -0.5)
pythonx,y=sp.symbols('x y') sol=sp.solve([-3*x+5*y-21,2*x-3*y+13],[x,y]) sol {x: -2, y: 3}
pythonvol13=3.14*(3.4**2)*1.2 vol13 43.55808
pythonplt.imshow(img4.crop((380,1150,900,1600))); plt.axis('off') (-0.5, 519.5, 449.5, -0.5)
pythonplt.imshow(img4.crop((600,1150,1000,1600))); plt.axis('off') (-0.5, 399.5, 449.5, -0.5)
pythonvol8 = (1/3)*3.14*(16.4**2)*12.9 vol8 3631.49792
pythonvol5=(1/3)*3.14*(9**2)*15 vol5 1271.7
python3.14*1215 3815.1000000000004
pythonstraight = math.sqrt(78**2 + 13**2) straight 79.07591289387686
pythonplt.imshow(img4.crop((150,1600,440,2000))); plt.axis('off') (-0.5, 289.5, 399.5, -0.5)
Here are complete step-by-step solutions (rounded as the book asks) for every numbered exercise that appears in the four photos you shared.
# | Work | Answer |
---|---|---|
11 A | Height of a right-circular cone is found from .<br>• Cone A: <br>• Cone B: | Cone A is taller. |
11 B | 0.33 cm | |
12 | In the triangular gate brace, | 29.5 in. |
13 | Space diagonal of a cube | 3.5 m |
# | Work | Answer |
---|---|---|
3 A | Sidewalk: ; grass shortcut: | Sidewalk route |
3 B | 11.9 m | |
4 | Space diagonal | 105.3 in. |
5 | Slant height | 10.77 m |
6 | Need any with . Two convenient pairs:<br>• (exact 3-4-5 triple)<br>• (rounded) | Any two correct pairs; sample shown. |
7 | Face diagonal of rectangle: | 28.8 in. |
8 | In the cone, | 80.6 mm |
9 | Space diagonal | 68.3 cm |
Use with where asked.
# | Work | Volume (nearest 0.1) |
---|---|---|
1 | A cylinder with same and as a cone has 3 × the cone’s volume.<br>Given cone fountain ⇒ cylinder . | 7.8 m^3 |
2 | <br> | |
3 | 59.3 cm^3 | |
4 | 1 356.5 in^3 | |
5 | 1 271.7 ft^3 | |
6 | 78.5 m^3 | |
7 | With diameter (so ):<br> |
# | Solution |
---|---|
8 | Substitute into : (≈ 3 631.5 cm^3). The four boxes should contain 1, 3, 16.4, 12.9 in that order. |
9 | For :<br>• Cone volume <br>• Cylinder volume <br>True statements are the ones saying: volume of the cone is ; volume of the cylinder is ; the cylinder’s volume is 3 times that of the cone; the ratio (V_{\text{cone}}:V_{\text{cyl}}=1:3. |
10 | Smallest comes from the smallest . Computing each choice shows radius 1 m, height 15 m gives the least volume. |
# | Work | Answer |
---|---|---|
11 | Slope . | The line rises about 2.5 quarts of iced coffee for every 1 °F increase in temperature. |
12 | Solve ⇒ . | |
13 | Cylinder: . | 43.6 m^3 |
Feel free to let me know if you’d like any extra explanation or alternative methods for any of these problems!
Below is a clear, study-guide-style set of notes that answers every question that appears in the six photographed pages. I’ve kept each response short, focused on the key facts an 8-grade U.S.-History teacher is likely to expect on a test. Feel free to ask for deeper detail on any point!
Topic / Question | Essential Answer |
---|---|
Impact of Europeans on Native Americans | Massive population loss from disease, warfare, and displacement; introduction of horses, guns, Christianity, and trade goods; loss of land and traditional ways of life. |
Goals of European exploration | Find new trade routes and riches (gold, spices), spread Christianity (God), and gain glory/power for their nations (“Gold, God, Glory”). |
Roanoke (1580s) | England’s first attempt at a permanent colony; governor John White returned to find settlers mysteriously gone—“Lost Colony.” |
“Starving Time” at Jamestown (1609-10) | Winter famine after poor planning and Powhatan conflict; only about 60 of 500 colonists survived. |
Northern vs. Southern colonial economies | North: small farms, ship-building, fishing, lumber, trade; South: plantation agriculture (tobacco, rice, indigo) using enslaved labor. |
Salem Witch Trials (1692) | Puritan mass hysteria in Salem, MA; ≈ 200 accused—mostly women; 19 hanged, 1 pressed to death. |
Pilgrims | English Separatists who founded Plymouth (1620) in present-day Massachusetts; signed the Mayflower Compact; had early cooperation and a 1621 harvest feast with Wampanoag (1st Thanksgiving). |
Topic / Question | Essential Answer |
---|---|
Cause & result of the French and Indian War (1754-63) | Britain & colonies vs. France & Native allies over Ohio Valley; Britain won, gained French Canada; war debt led Britain to tax colonies, sowing unrest. |
Proclamation of 1763 | Banned settlement west of Appalachians to calm Native tensions; angered land-hungry colonists. |
Sugar Act (1764) | Lowered but enforced molasses tax; cracked down on smugglers to raise revenue. |
Quartering Act (1765) | Required colonists to house/feed British troops. |
Stamp Act (1765) | 1st direct tax; required paid stamps on legal papers, newspapers. “No taxation without representation.” |
Boston Massacre (1770) | Clash led to 5 colonist deaths; used as anti-British propaganda. |
Boston Tea Party (1773) | Sons of Liberty dumped chests of tea to protest Tea Act. |
Coercive/Intolerable Acts (1774) | Punished Boston: port closed, self-government limited; united colonies in opposition. |
Grievances in Declaration (1776) | King abused power—taxation without consent, dissolving legislatures, quartering troops, denying jury trials, waging war on colonies, etc. |
Battle of Saratoga (1777) “turning point” | American victory convinced France to ally with U.S. |
Valley Forge winter (1777-78) | Harsh camp; shortages, disease; Washington’s leadership and von Steuben’s training produced stronger army. |
How the Revolution ended | 1781 Siege of Yorktown—Cornwallis surrendered; Treaty of Paris 1783 recognized U.S. independence. |
| Articles of Confederation (1781-88) | First U.S. government; power in the states; weak central gov’t (no tax power, no executive). | | Shays’ Rebellion (1786-87) | Massachusetts farmers protested debts/taxes; showed need for stronger federal gov’t → Constitutional Convention. | | Constitutional structure | Legislative: Congress (House + Senate); makes laws, taxes, declares war, approves appointments.<br>Executive: President, VP, departments; enforces laws, commander-in-chief, treaties, veto.<br>Judicial: Supreme Court + lower courts; interprets laws, judicial review. | | Checks & balances | President vetoes laws, Congress overrides/vets appointments, courts rule acts unconstitutional, etc. |
| Louisiana Purchase (1803) | U.S. bought vast territory from France for $15 million, doubling size, giving control of Mississippi River & New Orleans. | | Lewis & Clark Expedition (1804-06) | Map land, find water route to Pacific, study plants/animals, establish relations with Natives. | | Sacagawea | Shoshone woman who served as interpreter and guide; her presence signaled peaceful intent. | | Manifest Destiny | Belief that U.S. was destined to expand “from sea to shining sea”; encouraged settlement, fueled Indian removal & Mexican War. | | War of 1812 causes/results | Causes: British impressment, interference with trade, arming Natives, desire for Canada; Result: stalemate → Treaty of Ghent, surge of nationalism. | | Andrew Jackson’s key actions | Battle of New Orleans hero, expanded suffrage for white men, used veto power, started Democratic Party, signed Indian Removal Act → Trail of Tears. | | Missouri Compromise (1820) | Missouri slave, Maine free, 36°30′ line banned slavery in future Louisiana Territory north of line—temporarily kept sectional balance. | | Nat Turner (1831) | Enslaved preacher led Virginia rebellion killing ≈ 55 whites; resulted in harsher slave laws. | | Underground Railroad | Secret network of routes/safe houses; “conductors” like Harriet Tubman guided enslaved people north/Canada. | | Compromise of 1850 | CA free state, stronger Fugitive Slave Act, popular sovereignty in Utah/NM, ended D.C. slave trade—delayed war but angered both sides. | | John Brown’s actions | Violent abolitionist—Pottawatomie (1856) & Harper’s Ferry raid (1859); martyr in North, terrorist in South, deepened mistrust. |
| South Carolina secession (1860) | Feared Lincoln would stop spread of slavery; cited states’ rights & election of “sectional” president. | | Union’s “Anaconda Plan” | Naval blockade, control Mississippi River, squeeze Confederacy economically & geographically. |
Battle | Why Important |
---|---|
Fort Sumter (Apr 1861) | First shots; galvanized Northern enlistment. |
First Bull Run / Manassas (Jul 1861) | First major land battle; showed war would be long & bloody. |
Antietam (Sep 1862) | Bloodiest single-day; Union strategic win → Lincoln issued Emancipation Proclamation. |
Vicksburg (May-Jul 1863) | Union gained control of Mississippi, split Confederacy. |
Chancellorsville (May 1863) | Lee’s brilliant victory but costly (Stonewall Jackson killed). |
Gettysburg (Jul 1863) | Turning point in East; Lee’s invasion repelled, heavy losses. |
Appomattox Court House (Apr 1865) | Lee surrendered to Grant; effectively ended the war. |
| Emancipation Proclamation (1863) | Declared slaves free in rebelling states; shifted war aim to emancipation, allowed Black enlistment, discouraged foreign aid to Confederacy. |
| 13th Amendment (1865) | Abolished slavery everywhere in U.S. | | 14th Amendment (1868) | Granted citizenship & equal protection to all born/naturalized in U.S.; limited state power. | | 15th Amendment (1870) | Prohibited denying vote based on race, color, or former servitude. |
| Lincoln’s Reconstruction plan (“10 Percent Plan”) | Quick reunification: 10 % of 1860 voters take loyalty oath, accept emancipation → state readmitted; offered pardons to most Confederates. | | Andrew Johnson’s plan | Similar leniency but excluded wealthy planters unless personally pardoned; required ratification of 13th, but allowed ex-Confederates to regain power; no protection for freedmen. | | Ku Klux Klan goals & methods | Restore white supremacy & Democratic control; used terror, violence, murders, intimidation of Black voters & white Republicans. | | Southern voter suppression of African Americans | Violence/intimidation, poll taxes, literacy tests, grandfather clauses, white-primary rules, gerrymandering. |
These concise notes should cover every bullet in the study-guide pages you shared. Let me know if you’d like a printable version, flash-card prompts, or more detail on anything!