Isolating a variable in the formula - math word problems - page 14 of 49
Number of problems found: 967
- Sidewalk 63134
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy?
- Grandfather 63074
My only son was born when I was 37 years old. That was exactly 32 years after the death of my grandfather, and he died at the age of 64. Dedecek was 12 years older than Grandma; they got married in 1947, just when Grandma was 18 years old. What year was m
- Environment 62874
Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total n
- Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two
- Highest 62464
The iron pipes are placed in 10 rows, one above the other so that in the highest upper row, there are 15 pipes, and in each other, there is one tube more. How many pipes are there?
- Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w
- Salary increase 2
Each year, Francesca earns a salary 2 percent higher than her previous year's salary. In her first five years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?
- Two companies
The two companies did work together for 100 days. The first company would do it in 150 days. How many days would the work take the second company?
- Geometric 61524
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3
- Arithmetic 61123
In the arithmetic sequence (an), determine a1, d if: a6 = -3, a15 = -8
- Block-shaped 60983
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built?
- Cosine
Cosine and sine theorem: Calculate all unknown values (side lengths or angles) from triangle ABC. c = 2.9 cm; β = 28°; γ = 14° α =? °; a =? cm; b =? cm
- Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? °
- Otrokovice 60903
From Strážnice, a motor boat left the Baťa canal at a speed of 12 km/h towards the anchorage near Otrokovice. Two hours later, a second boat followed her at a speed of 20 km/h. Both ships arrived in Otrokovice at the same time. How many kilometers is it f
- The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°?
- The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm.
- GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =?
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =?
- Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter.
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