UNIDAD III 

RESOLUCION DE TRIANGULOS RECTANGULOS

APLICACIÓN DE LA TRIGONOMETRIA

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UNIDAD II

AREAS  Y PERIMETROS 

Área del triángulo

dibujo

fórmulas

Hallar el área y el perímetro del siguiente triángulo:

dibujo

P = 2 · 11 + 7.5 = 29.5 cm

fórmulas

 

Cuadrado

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un cuadrado de 5 cm de lado.

cuadrado

A = 52 = 25 cm2

Rectángulo

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un rectángulo de 10 cm de base y 6 cm de altura.

rectángulo

P = 2 · (10 + 6) = 32 cm

A = 10 · 6 = 60 cm2

Rombo

dibujo

fórmulas

fórmulas

Ejemplo

Calcular el área y el perímetro de un rombo cuyas diagonales miden 30 y 16 cm, y su lado mide 17 cm.

dibujo

P = 4 · 17 = 68 cm

fórmulas

Área del romboide

dibujo

P = 2 · (a + b)

A = b · h

Ejemplo

Calcular el área y el perímetro de un romboide de 4 y 4.5 cm de lados y 4 cm de altura.

dibujo

P = 2 · (4.5 + 4) = 17 cm

A = 4 · 4 = 16 cm2

Área del trapecio

dibujo

fórmulas

Ejemplo

Calcular el área y el perímetro del siguiente trapecio:

dibujo

fórmulas

Área de un polígono regular

dibujo

fórmulas

n es el número de lados

fórmulas

Ejemplos

Calcular el área y el perímetro de un pentágono regular de 6 cm de lado.

pentágono regular

solución

solución

P = 5 · 6 = 30 cm

solución

Calcular el área y el perímetro de un hexágono regular inscrito en una circunferencia de 4 cm de radio.

dibujo

solución

solución

P = 6 · 4 = 24 cm

 

Perímetro de un círculo

Una circunferencia es el perímetro de un círculo.

radio y diametro de la circunferencia

La longitud de una circunferencia es igual a por el radio.

fórmula

La longitud de una circunferencia es igual a π por el diámetro.

longitud de una circunferencia


 

Ejercicio

Calcular la longitud de una rueda de 90 cm de diámetro.

dibujo

1º A partir del diámetro

fórmula

2º A partir del radio

fórmula

fórmula

AREAS  Y VOLUMNENES   DE LOS CUERPOS SOLIDOS

 

 

Calcula el área lateral, total y el volumen de una pirámide cuadrangular de 10 cm de arista básica y 12 cm de altura.

pirámide cuadrangularapotema lateral de la pirámide

apotema lateral de la pirámide

perímetro

área lateral de la pirámide

área de la pirámide

volumen de la pirámide

Calcula la cantidad de hojalata que se necesitará para hacer 10 botes de forma cilíndrica de 10 cm de diámetro y 20 cm de altura.

dibujo


 

solución

solución


Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

radio de una esfera


radio de una esfera

radio de una esfera

 

Calcular el área del círculo resultante de cortar una esfera de 35 cm de radio mediante un plano cuya distancia al centro de la esfera es de 21 cm.

radio de una esfera


radio de una esfera

radio de una esfera

Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 40 dm de ancho y 2500 mm de alto.

dibujo


 

solución

solución

solución

solución

 

 

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COMENTARIOS FINALES

Терсенов Архимед Аристотелевич

У каждого человека свой путь, Терсенов Архимед Аристотелевич выбрал нелегкую стезю предпринимателя. В современном обществе работать, отвечая не только за себя, но и других, крайне сложно. Но он справляется, и при этом остается открытым, доступным для общения человеком, радушным хозяином, добрым советчиком и постоянным спонсором целого ряда программ. Все, кто лично знакомы с господином Терсеновым, отмечают его искренность, умение найти общий язык с каждым. Поэтому в его доме всегда много гостей!

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CAB 토토 사이트 홍보를 해 왔던 총판입니다.
작년12월부터 총판 수익금 526만원을 못받아서
이렇게 먹튀 사이트에 글을 올리게 됐습니다,
홍보를 꾸준히 해 오다가 홍보 방법이 막혀서 사전에 CAB운영진의 양해를 구해서
7-8개월동안 홍보방법을 찾기위해 홍보를 못했습니다,
그러다 올해 5월부터 홍보방법을 찾아서 홍보를 하다가
도메인이 유해 사이트로 떠서 새로운 도메인 셋팅을 해 달라고 부탁드렸더니
충분히 기다릴만큼 기다렸다고 도메인 셋팅을 안해주더군요,,
홍보 준비하는 기간동안에 수익금은 500만원이 넘어 있었고,나는 정산금보다
홍보를 계속하고 싶었는데,
갑자기 도메인 셋팅을 안해준다고 하니,,,황당하더군요
그래서 도메인 셋팅 안 해 줄거면 정산금을 정산해 달라고 햇더니
"6개월반이나 기다려 아무성과가 없어서 정산금을 못주겟다네요,,
그래도 5월에는 많지는 않지만 10여명정도 가입이 있었고,이제 어느정도 효과를 볼려고
하는데
정산금 주기 싫어서 같이 일을 못하겟다고 하니,,,이게 먹튀가 아니고 뭔가요?
내가 이렇게 글을 올리는것도 사전에 CAB운영진에 미리 얘기를 드렸고,마음대로 하라고 하면서
관리자 비번과 텔레그램까지 차단했고,CAB 사이트에 자세히 알아보니,일반 유저 먹튀도 여러건 발견되어
이대로 나두면 안되겠다는 생각이 들어 이렇게 글을 올립니다.
일단 저와 제가 아는 동생이 CAB에서 놀았던 입금 계좌를 경찰에 아는분한테 제출을 할겁니다.
지금 CAB을 이용하고 계신분이나 이용하실분들은 나중에 통장 계좌가 노출되어 경찰 조사를 받는일이
없도록 CAB토토사이트 이용을 자제해 주시기 바랍니다,
그리고 CAB토토 사이트도 상황이 복잡해지면 일반유저 먹튀도 예상되니까,
가능하면 다른 사이트 이용을 부탁드립니다!!

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Каждый сегмент бизнеса имеет свои нюансы, и особенно высокотехнологичный, связанный с криптовалютами. Терсенов Архимед Аристотелевич знает его отлично, досконально разбираясь во всех аспектах. Именно поэтому присутствие господина Терсенова на международных конференциях по приложению блокчейн-технологий для венчурного капитала выглядит логично. Доклады, семинары, организация, даже при колоссальной занятости, он всегда находит время. Делиться опытом – это неотъемлемая черта характера, правило жизни!

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