写真のペンを引いている部分の意味が分かりません。 特に "free from" が"free A from B"の形で使われてないので、分からない状態になっています。 解説お願いします<(_ _)>

っで ways to keep the ar clean inside spaceships. Spaceships, of course, cannot get air from outside because there is no air in space. In order to study Ways to keep the air mm spaceships free from poisons released 、 、by modem maferials Wolverton created fhe BioHlome, a completely closed building made entirely-of artifcial materials. When people RTきアビ ーー EC 2

答え→4、3、2で合ってると思いますか⁇ 違うと思ったらどこが違うか教えて欲しいです‼︎ 問3:自信ないです💦お願いします🤲

dents touring Tiversitie、 r tour guide was 1eR of international gtu o frorn YOU 刀 Youre joining 8 grOuP etOW OS Ao in and around Plac in your hotel rooni. ms ToOu tovwn Area Camnp age incl jpuffet before We 1eave! This Place Welcome to Placetown notel、 Dont forget to enjoy the mi 0 ee unique universitieS. udes breakfast at the nm! Your tour pack orning tour includes thre Wilji College 1 Wilington CoPe8セ ide the city with_selective A medium-sized private 8C admission standards. Eounded in 1 perhaps the most respected physicS depart hool just out8 801, 索 has many famous graduates ment in the US. and State University Placetown A newer public university with campuse8s in several locations throughout downtown Placetown. tt has moderately selective admmission standards, a good curriculum and an excellent business and econornics department. Orenshaw Institute of Technology A small modern private school in the countryside that attractS ta】ented youth from around the world. It has top professorS and highly selective admissions standards. C.TT. is most famous for it computer science DrOgTam. August 8 7:30 a.m. Leave hotel 8:45 a.m. Willington tour 1:00 p.m. Explore downtown / lunch 2:00 p.m. S.U, Placetown tour 5:00 p.m. Cultural Q-and-A session 7:00 p.m. Return August 9 7:30 a.m. Leave hotel _8:45 a.m. CTT. tour 12:00 p.m. Lunch in CIT. cafeteria 00 p.m. College admissions seminar _9:00pm. Return / tour concludes

1枚目の下の方にあるオレンジマーカーの部分について質問です。 2枚目のように展開図を書いたのですがこの図からは2θかなと思いました。なぜ答えがθなのですか？

の〇つの〇24 gimfeoyrgeeif OA =ニOB =OC=ニ4 AB=BCニCA ニ2/2 である四面体 OA (!) 頂点O〇から底面 ABC に下ろした垂線を OH とすると AH ニ 5 OHニ pal であるから、四面体 OABCの体前は 加>記 ニン@^ーデ9 > シコ ある。 ニンBoOG呈 さらに, 4点0, AB cid する ノAoBテク (@ 点Aから辺 OB に下ろした垂線を AD,点 D から辺OC に Fろした生線 | ロコ ビビコ とおくとcos2ー 戸光二 であるか5 6p=ビタコ エコ したがって, 四面体 OADE の体積 は ッ-ュの 5の3 でぁり, AH は外 6 272 接円の半径であるから, 正弦定理により 2AHニ=-jm60' (1) 04=ニOB=OC より, 古は正三角形ABC の外心 放 | ゆえに, 直角三角形OAH において OH = /OAーAFTE を-(容) 0 1 (四面体の体積) 理(て軸因 したがって, 四面体 OABC の体積 は ロ 同人 2/30 4710 | エメ(旗面積)X(高る) レニ・AABC-OHニ= ュ・(す-272 272・sn60)-当ニゴー 3 また, 4 点 0, A, B, Cを通る球の中心をP とすると, 点Pは線分 OH 上にある。 2 2 直角三角形 PAH において Z?= (人縮- (内) 還 = これを解いて = ミキ (②⑫ AOAB において, 余融定理により 0A*+OB*ニABI ポキダー(272) 3 2・OA・OB 。 2・4・4 4 ゆえに, 直角三角形 OAD, ODE において OD = OAcosの= 3, OE = ODcos2 = 8 4 また, へOAE において, 余弦定理により AE" = 0A"すOE"一2・0A・OEcosの 900 9 121 でMg ーーク2・4・一・一 三 一一 ョはの95 1 AE>0 より 4B=イ 四面体 OADE の体積 必 は 2 cosの 三 三 ター攻略のカギ ! | 空間図形は平面で切り取って三角形に注目せよ | ) 耐を共有する 2つの四面体の体積比は, 辺の長さの比を利用せよ

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この教科書の解説をお願いします。 和訳は平気です。

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真ん中の英文，私は名詞の前にtheをつけましたが答えには何も書いてありませんでした。 theをなぜつかないかおしえてほしいです。

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このふたつの日本語訳を誰か教えてください🙇‍♀️ お手数ですが、お願いします🙏

め EE IロRNNロ| 瑞 Reading = joyed mu Young people have always en]o Sic New they use Websites such 9 ten to their favorite songs. These music videos 因62 YouTube to watch videos when they jis intereSting historY. made by many DOD bands Me き on the 1960s, a 。全As called the Beatles Was VerY popular People al oe er the Beatles could ao Visit al 。 the Sba wanted to see a Beatles Ce HowWev ake 5 videos Which incl nd SW the Hes in the world, so they decided to m of 1 music。 Some people say that this W4S the start of music videos. These ers and on television, and fans of the Beatles coud 胃63 videos were shown in movie theat es. In fact, the Beatles stopped touring in 1966, so these viqeos enjoy their performanCt became the only Way to watch a Beatles perforrnance Tm the 1970s, many music television DrOgrarmS WerC made, and enjoyed by Young oO. These videos Were 10 L 【ア! fns. Often the programs showed a specially created music Vide carefully mnade, and often cost a ]ot of money. mm the 1980s。 24-hour music channels such as MTV started.、 Im 1983, the most fmous music video Was made. It was the video for Michael Jackson's song “Thriller'. It was 14 minutes 1ong, and cost about $500,000 to make. Today, music videos have 中 65 pbecome as important as the muSiC. (217 words) =ョトリレジ ooo でくくでoooeeeoeeeeeeooooeeeeeoeeeeeeoeeeeeeeeeeeoeeeeeeeeeee the Beatles : ビートルズ(イギリスのロックバンド) include : を含む Michael Jackson : マイケル・ジャクソン(米国の歌手) Thriller : スリラー (1983 年にマイケル・ジャクソンが発表したシングル曲)

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間誠蘭 ルルoomxe 1 分 56 秒を目標に読みなさい。 UDGI2NJTgGWGiGMI BrazihWithiaiBopttatodef18 milhen_asiof.20108 Back in the 1960S, it had various problems that are often seen in big cities throughout the world, such as busy town streets and a lack of green SDace. ての不足 mayor in 1971, succeeded in solving these problems. Lerner carried out a series of big reforme。 But Jaime Lerner, who became First, he changed the city's busiest town street into a pedestrian Zone. Next, he planted flowers and trees, and put benches in parts of the 0 It became a popular meeting place for people. Although local Shopkeepers thought these changes would hurt business, they soon found out that actually fe were able to make more profit. After thiS success、Lerner tried to solve the problem of public transportation. He connected some buses together so that they could hold more people at a tme. Thanks to tm there were no more traffic Jas during rush hour. _He ・ Je to make EEこ By changing a number of river areas into parks, he crwel Jot t more mee Space in the city. He also started to educate people on how to

All the actors we interviewed today had been trained in modern dance since childhood. 上の文で使われているinはどのような意味でしょうか？

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ーー ラナ、べし\ EE な語句を答えなさい< |3. 次の英文中の空所に入る最も適当 な語 g so much in front of your friend。. diamond rin 21 Dontshow ( ) 7our 9 ④ of @ on @ SE ④ over ⑥ with ld be fewer acci introduced ( ) there wou accidem trafc safety laWs Were intro 22 New tral | ④ sothat ② sas下 ⑨⑧ jpcase ④ just as SO tha 23 The catalog ( ) that this year's model is slightly cheaper than last year (センター ①④ says ② speaks ③ talks ④ tells 24 Mother congratulated us ( ) our victory (We ①⑦ among @ on ⑧ to ④ up 25 ( ),the worse 1 seem to feel. (5 @② The more medicine I take ①④ Taking the more medicine ④ When I take more medicine ⑨ More medicine taken ) not give up gambling, although her husband told her to a hundred 26 She ( iTiees (が上 ①④ must @ has ③⑧ should ④ would ⑤ ought 27 Isntitabouttimewe ( ) a brand new computers (BA ①④ hadbought @ bousht ③ have bought ④ wilbuy 28 0 sternly told the student *Read the Passage ( ) Ireferred 本 2 &?2う ①④ that ② tothat ⑨ towhich ④ which 29 Mrs. Smi MO RM has three sons, who are always fighting ( ) themselves 3229 い も Nong ⑨ for ④ between 30 ( り ① jsanyone II Tpthe shop an honr Earlier than usual tomorrow? gm ⑨ ksitcapable fr Aone ② fsitable for anyone ④ tsit Possible for anyone