Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Hi;

I think the problem is ambiguous. Regretted. I have posted a fresh problem.

560 a. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer.

(4,5), (7,6), (4,3), and (1,2).

Hi;

The solution 559 is correct. Excellent, bobbym!

560. A cylindrical jar of radius 6 cm contains oil. Iron sphere each of radius 1.5 cm are immersed in oil. How many spheres are necessary to raise the level of the oil in centimeters?

Hi;

The solution #3672 is correct. Neat work, bobbym!

#3673. A manufacturer of television sets produced 600 sets in the third year and 700 sets in the seventh year. Find the production in first year.

Hi;

The solution #6054 is correct. Excellent, bobbym!

#6055. The medians of a triangle meet at (0,-3) and two vertices of triangle are at (-1,4) and (5,2). Find the third vertex.

Hi;

The Answer #6393 is correct. Neat work, bobbym!

#6395. What does the abbreviation APCTP signify? (an international research institute for physical sciences. It is located in the Campus of the Pohang University of Science and Technology (POSTECH), in Pohang, South Korea. The centre was founded in 1996 by Nobel Laureate Chen-Ning Yang.)

#6396. What does the abbreviation APEC signify? (APEC Peru 2016 (Spanish: APEC Perú 2016) was the XXVIII year-long hosting of APEC meetings in Peru, which was culminate with the XXIV APEC Economic Leaders' Meeting in 19–20 November 2016 in Lima. It marked the second time Peru played host to the APEC, previously hosting in 2008.)

Hi;

The solution set in #6053 is correct. Good work, bobbym!

#6054. The coordinates of the point dividing internally the line joining the points (4,-2) and (8,6) in the ratio 7:5 will be ___________.

Hi;

The solution #3671 is correct. Neat work, bobbym!

#3672. If

then find .Hi;

The solution 558 is correct. Excellent, bobbym!

559. If

divides exactly, find a and b.Hi;

The Answer #6392 is correct. Splendid, bobbym!

#6393. What is 'Palme d'Or'?

#6394. Name the Canadian poet, novelist, literary critic, essayist, and environmental activist. She is a winner of the Arthur C. Clarke Award and Prince of Asturias Award for Literature, has been shortlisted for the Booker Prize five times, winning once, and has been a finalist for the Governor General's Award several times, winning twice. In 2001, she was inducted into Canada's Walk of Fame. She is also a founder of the Writers' Trust of Canada, a non-profit literary organization that seeks to encourage Canada's writing community. Among innumerable contributions to Canadian literature, she was a founding trustee of the Griffin Poetry Prize.

Hi;

The solution 557 (five parts) is correct. Excellent, bobbym!

558. A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many such cones are obtained.

Hi;

The solution #3670 is correct. Good work, bobbym!

#3671. If tanA = 5/12, find the value of (sinA + cosA).secA

Hi;

The solution #6052 is correct. Neat work, bobbym!

#6053. Solve for x and y:

ax + by - a + b = 0,

bx - ay - a - b = 0.

Hi;

The Answer #6389 is correct. Neat work, bobbym!

#6391. Name the nation which is located on the west of the African continent. It lies between latitudes 12° and 17°N, and longitudes 11° and 18°W. It is externally bounded by the Atlantic Ocean to the west, Mauritania to the north, Mali to the east, and Guinea and Guinea-Bissau to the south; internally it almost completely surrounds The Gambia, namely on the north, east and south, except for Gambia's short Atlantic coastline. The name comes from the Wolof "Sunuu Gaal," which means "Our Boat." It covers a land area of almost 197,000 square kilometres (76,000 sq mi) and has an estimated population of about 13 million.

#6392. Name the country located in the Horn of Africa. It is bordered by Ethiopia to the west, Djibouti to the northwest, the Gulf of Aden to the north, the Indian Ocean to the east, and Kenya to the southwest. Total area : 637,657 square km (246,201 sq mi), Population - 2014 estimate - 12,316,895.

Hi;

The solution set in #3669 is correct. Excellent, bobbym!

#3670. The distance of the point

from origin isa) 2b units

b) b units

c) (1/2)b units

d) 4b units.

Hi;

The solution #3668 is correct. Excellent, bobbym!

#3669. Solve the following equation for x:

Hi;

The solution #6051 is correct. Neat work, bobbym!

#6052. The number of solid spherical beads each of radius 5 mm can be made out of a solid rectangular block whose dimensions are 15 cm x 11 cm x 8 cm are _________.

a) 2500

b) 2510

c) 2520

d) 2550

Hi;

The solution 556 (four parts) is correct. Excellent, bobbym!

557. Three unbiased coins are thrown simultaneously. Find the probability of getting

a) 3 tails

b) 2 tails

c) no tails

d) 2 heads and 1 tail

e) at least 1 head.

Hi;

#6389. This scientist (30 August 1871 – 19 October 1937) was a New Zealand physicist who came to be known as the father of nuclear physics. Encyclopædia Britannica considers him to be the greatest experimentalist since Michael Faraday (1791–1867). Name him.

#6390. Name the major 19th-century Norwegian playwright, theatre director, and poet (20 March 1828 – 23 May 1906). He is often referred to as "the father of realism" and is one of the founders of Modernism in theatre. His major works include *Brand, Peer Gynt, An Enemy of the People, Emperor and Galilean, A Doll's House, Hedda Gabler, Ghosts, The Wild Duck, When We Dead Awaken, Pillars of Society, The Lady from the Sea, Rosmersholm, The Master Builder* and *John Gabriel Borkman*. Name him.

Hi;

The solution 555 is correct. Excellent, bobbym!

556. (a) If sin (A - B) = 1/2 and cos (A + B) = 1/2, then find A and B.

556. (b) If cos (A + B) = 0 and sin (A - B) = 1/2, then find A and B.

Hi;

The solution #6050 is correct. Neat work, bobbym!

#6051. One card is drawn from a pack of 52 playing cards. What is the probability of drawn card to be neither a king nor a queen?

Hi;

The solution #3667 is correct. Good work, bobbym!

#3668. If the coordinates of the midpoints of the sides of a triangle are (1,2), (0,-1), and (2,-1). Find the coordinates of its vertices.

Hi;

The Answer #6387 is correct. Excellent, bobbym!

#6389. Name the American mechanical engineer who sought to improve industrial efficiency (March 20, 1856 – March 21, 1915). He was one of the first management consultants. He was one of the intellectual leaders of the Efficiency Movement and his ideas, broadly conceived, were highly influential in the Progressive Era (1890s-1920s). He summed up his efficiency techniques in his 1911 book 'The Principles of Scientific Management'.

#6390. Who was 'Ichiro Kato'?

Hi;

The solution #6049 is correct. Neat work, bobbym!

#6050. In a family of 3 children, find the probability of getting at least one boy.

Hi;

The solution #3666 is correct. Neat work, bobbym!

#3667. Solve:

4x + 5y = 7,

3x + 4y = 5.

Hi;

The solution 554 is correct. Magnificent, bobbym!

555. Solve: