(2)のように表せるのはなぜですか？

△ABCにおいて, ∠A, ∠B ∠Cの大きさをそ れぞれ A, B, C, また. その対辺の長さをそれぞれ a,b,c とする. ∠Cが直角の直角三角形ABC において,∠Aすなわち, A に注 目するとき, Aと直角を結ぶ辺 AC を底辺という. ABを斜辺, A 底辺 BC を対辺 (高さ)という. Sit offi サイン 正弦 (sine) : sin A= ∠Aに関する辺の長さの比の値を∠Aの正弦, 余弦, 正接といい, まとめて三角比という. 対辺 BC_a 斜辺 AB C 底辺 AC b —— 斜辺 AB C BC a AC b コサイン 余弦 (cosine) :cos A = (2) (1) の三角比は, タンジェント 正接 (tangent): tanA= 80%a=csinA b=ccos A a=btan A のように も使う。 SST C ccos A HAVERSTIMET 対辺 底辺 B 斜辺 csin A A || B || B 102 B B btan A 直角三角形では,直角 の対辺を斜辺という. C 直角三角形の2つの辺 の長さの比の値が三角 比 比minの比の値と は、Ⅲのこと. n a sin A A 三角比は,次のように 覚えられる. A Din COS A C z OS 注 4 ミ DE LO 注

中3　数学です 青マーカーの答え合ってますか?

かっこをはずして単項式の和の形に表すことを の式を展開するという。 (1)(x+3)(y+5) 2xy+14x+y+7 (3x+2)(x-4) 32²-12x+2x-8 3x-10x-8 問2) (8-1)(4+0) (2) =xy+5x+3y+15 問1~ (1)(x+6)(y+2) (2)(a-3)(b+2) (3)(a-b)(c-d) .xy+2x+by+12 =ab+2a-3b-6 = ac-ad-bc+bd (2x+1)(y+7) -ab-2a+7b-14 -12% -8x+3x-2 12x²-5x-2 Un. (x+2)(x+4) (2)(x-2)(x-3) (3)(x+5)(x-5) x2+4x+2x+8 =x²-3x-2x+6 x²-5x45x-25 x2+bx+8 =x2-5x+6 14x+1)13:0-2) (5)/2a+b)(a+36) 20²+60btab-4b =20+706146 はじ =x²-25

どうやって解けばいいのかがわかりません。 答えは（a＋b＋c）（ab＋bc＋ca）になります。 どこが間違えているのかを教えてください。お願いします。

@tab (a+b) tbc (b+c) + ca (cta) Babc =@b+ab² tbc the + catcat sabe a ²(b + c) + a(6²³ +²²³²+ 3 bc) tbc (btc) = a (b + c)+ a {(6+cl + bc} tbc (b²c = (b + c) {a²³²+ a (btc) tabe + bc} = (b + c) (a² + abtac + abctbel = (b+c) (abc+ a² + ab + bctca 2 t

英検一級のライティングの添削をお願いしたいです。 Should the Japanese government encourage more immigration? というトピックで書きました。よろしくお願いします。

The Japanese government should encourage more immigration Problems such as lack of diversity, Japanese companies retreating from the world declining birth rate 39 there is a because market, and aging population with a can be solved by increasing immigration. Japan, although it is one of the advanced countries, lack of diversity. Except of big cities like Tokyo, there are only few foreigners. I think this is a set back to Japan while other countries are stepping foward by changing its own system, Japan is refusing to make a change to its old style, and I believe this is because Japan doesn't have abundant. perspectives. foreign countries to. By encouraging more immigration, they can provide many different views and stimulate Jahanese people. as of what does other countries. a image Japanese companies are retreating from the world market. Many Companies in Japan are producing overeng ineered expensive products that only targets Japanese customers and it is losing its power in other countries : If Japan accepts more immigrants Japanese companies. will be able to get detailed regire to their product and stay in the world market. Aging population and a declining birth rate is a huge problem in Japan right now. Because of it, companies are losing workers and young people will have to saffer with a lot of taxes in the future. Encouraging immigration can increase population and solve. these problems more By encouraging more immigrations, many problems that Japan is facing can be solved.

3〜6番と18番の答えお願いします。答えがないので教えて欲しいです。早めにお願いしたいです。

英単語/句動詞 (26点) 1. She decided to her career goals. A) turn down B) turn up C) turn around D) turn out the job offer because it wasn't the right fit for 2. When baking the cake, she accidentally an important ingredient. A) leave off B) leave for C) leave up to D) leave out 3. His strong leadership skills will A) make for B) make out C) make up for D) make up his mind 4 the success of the project. 4. While exploring the old library, she dusty shelf. A) come up with B) come around C) come across D) come about a rare book hidden behind a the bad weather, the team continued to play their best. 5. A) Due to B) Because of C) Despite D) Owing to the difficulties they faced, they still managed to finish the project 6. on time. A) Nonetheless B) However C) Though D) Therefore 7. Before making a decision, it is important to A) disregard B) consider C) neglect D) overlook 8. She decided to A) buy B) sell C) trade D) return the dress she had been eyeing for weeks. all the available options. 9. The company experienced a high rate of due to the stressful environment. in their workforce

この文章で使われているbyは、どのように訳すのが正解ですか？

various reasons, such as tracking the sun's movement. The oldest such circle known to scientists can be found at Nabta Playa in Egypt. At around 7,000 years old, this circle predates England's Stonehenge probably the world's best-known prehistoric stone circle by more than 1,000 years. Nabta Playa's climate is extremely dry today, but this was not always the case. ( 26 ), heavy

英語です。 (b)の訳と(c)の並び替えが分かる方いらっしゃいますか？

But the 1,600 cases of deaths for which the agency obtained information. The document also failed to offer sufficient analyses of these cases from the viewpoint of how they (b) could have been prevented. No similar report has been compiled with regard to other disasters since then. In a written opinion published in August last year, the Japan Federation of Bar Associations pointed out that individual cases of disaster-related deaths offer many valuable lessons. The organization called on the government to establish an organ devoted to investigations into such cases, classify and publish specific cases, and build a database for local governments to obtain necessary information. The ministries and agencies (consideration / should serious concerned / give) to the association's proposals. (c) Many disaster-related deaths can be prevented if an appropriate environment

組み分けの問題　重複順列 ⑶ なぜ2の4乗通りで引いてるかわかりません。

328 TAGST 基本例題22 組分けの問題 (1) …. 重複順列 6枚のカード1,2,3, 4,5,6がある。 (1) 6枚のカードを組Aと組Bに分ける方法は何通りあるか。 少なくとも1枚は入るものとする。 (2) 6枚のカードを2組に分ける方法は何通りあるか。 (3) 6枚のカードを同じ大きさの3個の箱に分けるとき, カード 1, 指針▷ (1) 6枚のカードおのおのの分け方は, A,Bの2通り。 26通り ・重複順列で ただし、どちらの組にも1枚は入れるから, 全部を A またはBに入れる場合を除くために -2 (2) (1) で, A, B の区別をなくすために ÷2 (3) 3個の箱をA, B, C とし, 問題の条件を表に示す と右のようになる。 よって,次のように計算する。 ( 3 4 5 6 を A, B, C に分ける) -(3,4,5,6をCに入れない=AとBのみに入れる) 入れる方法は何通りあるか。 ただし, 空の箱はないものとする。 解答 (1) 6枚のカードを, A,B2つの組のどちらかに入れる方法は BYGG 2°=64 (通り) このうち, A,B の一方だけに入れる方法は ゆえに,組Aと組Bに分ける方法は (VB) 08-1 2通り CHART 組分けの問題 0個の組と組の区別の有無に注意 は64-262 (通り) (2) (1) で A,B の区別をなくして 62÷2=31 (通り) (3) カード 1, カード2が入る箱を, それぞれ A, B とし 残り の箱をCとする。 TIRAG A,B,Cの3個の箱のどれかにカード3, 4 5 6 を入れる 方法は 34通り このうち,Cには1枚も入れない方法は したがって 19 34-24=81-16=65 (通り) ② カード1.2を別の 2通り 2 238 ただし、各組に ITA CB or B 「箱」 BTACOB カード LTAUB A 3,4,5,6から少なくとも1枚 TAOB 1 「B 2 TSTAHA A,Bの2個から6個取る 重複順列の総数。 (2組の分け方) ×2! = (A,B2組の分け方) (3) A,B,Cの3個から4 個取る重複順列の総数。 3個の箱には区別がある。 Cが空となる入れ方は, A., Bの2個から4個取る重複 順列の総数と考えて 24通り 前

4の解き方がわかりません。 例えば(a)で、続く文であくびを謝っていることも全て把握した上で、挨拶なのでpolitelyかと考えたのですが、なぜ誤りなのか教えていただきたいです。

13 Lucy is a British schoolgirl who lives in Oxford. She is talking to her father, Fred, in the kitchen of their home. Read the conversation below and answer the following questions. Lucy: (a) Good morning, Dad. Oh, sorry for yawning. What are you doing with that microwave oven? It looks heavy. Do you need a hand with moving it? Fred: I think I'll be OK, Lucy. I'm just going to put it in the car and take it to the city dump. Lucy: Couldn't you send it away to be repaired? Fred: It's ten years old and well out of warranty now, so I very much doubt that the manufacturer would do it. They probably don't even carry the spare parts anymore. Lucy: That's a shame. Oh, I know what! Why not take it to the Repair Café near my school? Fred: What's that? I've never heard of it. Lucy: It's brilliant! We visited it as part of our environmental science course recently. It's a meeting place where people can get together to mend broken items cooperatively. And have a chat and a cup of coffee! Fred: I'm all ears. Tell me more. Lucy: Well, the first Repair Café was started by a Dutch woman called Martine Postma in Amsterdam in 2009. (1) 彼女は,使い捨て文化で環境が破壊されて, ゴミの量が地球規模で増えることを心配してたん . She wanted to find a local solution to this global problem. Fred: That's what they call "thinking globally, acting locally," isn't it? Lucy: Exactly. She also wanted to address the decline in community spirit amongst urban dwellers and do something about people's loss of practical skills and ingenuity. Fred: And the idea (2) caught on? Lucy: Very much so. The concept has grown into a global movement. The one in Oxford started about four years ago. Fred: Impressive! What kind of things do they repair? Lucy: Oh, all sorts. Electrical appliances, clothes, furniture, crockery, bicycles, and even toys. Fred: How successful are they at repairing things? Lucy: Well, of course, they cannot guarantee to fix every item brought to them, but they have a fairly good success rate. One study found that on average 60 to 70 percent of items were repaired. The rate is higher for some items such as bicycles and clothes but lower for things like laptop computers. Fred: I can understand that. Just between you and me, I think some electronics manufacturers deliberately make products in such a way that you cannot disassemble them and repair them unless you have specialized tools and equipment. Lucy: Yes, and that's where Repair Cafés can help. But these cafés are not just about repairing things for people. They are places where we can meet others, share ideas, and be inspired. The volunteer repairers are very keen to involve the visitors in thinking about the repair and actually carrying out the repair themselves. They also encourage people to think about living together in more sustainable communities. Fred: I suppose you could say they are about repairing our minds, not just our things. Lucy: Quite so, although often the two are very closely related. Many people attach (3)sentimental value to old things that might, for example, be part of their family history. Fred: I see what you mean. It almost sounds too good to be true. (a)Is there a catch? For example, how much does it cost? Lucy: Advice and help from the repairers is free, but people who use the café are invited to make a donation. That money is used to cover the costs involved in running the café. If specific spare parts are needed, the repairers will advise you on how to obtain them. Fred: Well, that's marvelous! (e)Then I'll take this old microwave there. Are they open today? Lucy: Yes, and I'll come with you. I've got a pair of jeans that are badly in need of some attention. QUESTIONS 1. Translate the underlined part after (1) into English. 2. What does the underlined phrase after (2) mean? Select the most appropriate expression from the list below. (A) became popular (B) hit a dead end (C) occurred to you (D) played a significant role (E) worked in practice 3. The underlined phrase after (3) means the value of an object which is derived from personal or emotional association rather than its material worth. Give ONE object that has "sentimental value" for you and explain why it has such value. Your answer should be between 15 and 20 English words in length. (Indicate the number of words you have written at the end of your answer.)

至急、解説お願いします💦

4 「学校,本屋,駅,太郎さんの家が、この順で一直線に道沿いにあり、学校から本屋までは 1000m, 学校から駅までは1500m, 学校から家までは3000m離れている。 太郎さんは 16時に学校を出発し、この道路を家に向かって一定の速さで帰宅していた。 出発して 20 分後に駅に着いたとき, 雨が降り出してきたので雨宿りをした。 その後家まで急いで帰宅 したところ、駅を出発した15分後の16時45分に家に着いた。 下図は, 16時から x 分後 に太郎さんが学校からym離れているとするとき 16時から16時45分までのxとyの 関係をグラフに表わしたものである。 101 d3OH) 12=5501 +6+ bta+d+o+ (28+ d dy DECE) XE 3000----- 2 & 1 (DE A 1500円 1000 to ma O 又 20 a=150 もう (X, 1500))) 2.45 IC + DESE INSMOTA (45,3000) ➔y=ax+ s 太