Rotate an equilateral triangle inscribed in a circle 40 degrees clockwise and counterclockwise, as shown in the figure below. How many triangles are there in the figure?
How many triangles are there in the figure below? *
6
1
4
8
- Trans: Tìm diện tích tam giác đều nội tiếp đường tròn bán kính 6cm.
Giả sử ta có \(ΔABC \) nội tiếp \(O;6cm)\) và \(AB=AC=BC=x(cm)\)
Xét \(ΔABC\) đều có: \(O\) là trọng tâm tam giác
\(\Rightarrow \dfrac{AO}{AH}=\dfrac{2}{3}\) (H là hình chiếu của A trên BC)
Mà \(AO=R=6cm \Rightarrow AH=9(cm)\)
Áp dụng định lý Pytago vào \(ΔACH\) có:
\(AC^2 =AH^2+CH^2 \\ \Leftrightarrow x^2 = 9^2 + (\dfrac{x}{2})^2 \\ \Leftrightarrow x=6\sqrt{3}\)
\(\Rightarrow S_{ΔABC}=\dfrac{1}{2} AH.BC=\dfrac{1}{2} . 9.6\sqrt3 = 27\sqrt3 (cm^2)\)
Vậy \(S=27\sqrt{3}cm^2\)
How many rectangle(s) with “*” is / are there in the figure below?
Question 1:In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is____
Q2:Find the highest common factor of 147x and 98y if HCF(x;y)=1
Q3: A pattern of triangles is made from matches shown as follows
if there are 207 matches used, how many triangles has been formed
How many circles are there in the figure? *
4
2
5
3
Question 1: Find the highest common factor of 147x and 98y if HCF(x;y)=1.
Question 2: In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is______
Question 3: A pattern of triangle is made from matches shown as follows:
If there 2017 matches used, how many triangles has been formed?
P/s: Please help me! If possible, write the detail answer! Thanks for your help!!!
After two decades of growing student enrollments and economic prosperity, business schools in the United States have started to face harder times. Only Harvard’s MBA School has shown a substantial increase in enrollment in recent years. Both Princeton and Stanford have seen decreases in their enrollments. Since 1990, the number of people receiving Masters in Business Administration (MBA) degrees, has dropped about 3 percent to 75,000, and the trend of lower enrollment rates is expected to continue.
There are two factors causing this decrease in students seeking an MBA degree. The first one is that many graduates of four-year colleges are finding that an MBA degree does not guarantee a plush job on Wall Street, or in other financial districts of major American cities. Many of the entry-level management jobs are going to students graduating with Master of Arts degrees in English and the humanities as well as those holding MBA degrees. Students have asked the question, “Is an MBA degree really what I need to be best prepared for getting a good job?” The second major factor has been the cutting of American payrolls and the lower number of entry-level jobs being offered. Business needs are changing, and MBA schools are struggling to meet the new demands.
Which of the following business schools has NOT shown a decrease in enrollment?
A. Princeton
B. Harvard
C. Stanford
D. Yale
Đáp án B.
Key word: business schools, NOT shown a decrease in enrollment.
Clue: Only Harvard’s MBA School has shown a substantial increase in enrollment in recent years: Chỉ có duy nhất trường thạc sỹ quản trị kinh doanh (MBA) của Harvard đã cho thấy một sự gia tăng đáng kể trong tuyển sinh trong những năm gần đây.
Dựa vào clue ta thấy đáp án chính xác là B. Harvard.
Circle O has diameters AB and CD perpendicular to each other. AM is any chord intersecting CB at N.I is the center of the circle inscribed in triangle AMB. Prove that M, I, D are collinear points
Reading the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the questions
After two decades of growing student enrollments and economic prosperity, business schools in the United States have started to face harder times. Only Harvard's MBA School has shown a substantial increase in enrollment in recent years. Both Princeton and Stanford have seen decreases in their enrollments. Since 1990, the number of people receiving Masters in Business Administration (MBA) degrees, has dropped about 3 percent to 75,000, and the trend of lower enrollment rates is expected to continue
There are two factors causing this decrease in students seeking an MBA degree. The first one is that many graduates of four-year colleges are finding that an MBA degree does not guarantee a plush job on Wall Street, or in other financial districts of major American cities. Many of the entry-level management jobs are going to students graduating with Master of Arts degrees in English and the humanities as well as those holding MBA degrees. Students have asked the question, "Is an MBA degree really what I need to be best prepared for getting a good job?" The second major factor has been the cutting of American payrolls and the lower number of entry-level jobs being offered. Business needs are changing, and MBA schools are struggling to meet the new demands
How many reasons causing the decrease in students learning in MBA?
A. one
B. two
C. three
D. four
B
Câu đầu đoạn 2 “There are two factors causing this decrease in students seeking an MBS degree” -> có 2 nhân tố.