Isolating a variable in the formula - math word problems - page 97 of 144
Number of problems found: 2864
- GP members
The geometric sequence has ten members. The last two members are 2 and -1. Which member is -1/16?
- Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid.
- Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
- Nonagon
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm.
- Isosceles triangle
The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.
- Square to rectangle
A square has a side, and a rectangle has a width of 2 x and a length of 3. What is the ratio of the area between a square and a rectangle?
- Trigonometric formula
Determine the value of the function tg x (tangent) when cotan x = -0.8 (cotg or cotangent); x holds in the second quadrant)
- SSA and geometry
The distance between the points P and Q was 356 m measured in the terrain. The viewer can see the PQ line at a 107°22' viewing angle. The observer's distance from P is 271 m. Find the viewing angle of P and the observer.
- The pond
We can see the pond at an angle of 65°37'. Its endpoints are 155 m and 177 m away from the observer. What is the width of the pond?
- Square root 2
If the square root of 3m² +22 and -x = 0, and x=7, what is m?
- A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
- Sale discount
The product was discounted so that eight products at a new price cost just as five products at an old price. How many percent is the new price lower than the old price?
- Expressions 3
If k(x+6)= 4x² + 20, what is k(10)=?
- Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0
- Population growth
How many people will be on Earth from two people for 5,000 years if every couple always has four children (2 boys and two girls) at the age of 25-35, and every man will live 75 years?
- Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?
- A clock
Mother set a clock right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution.
- Isosceles
Isosceles trapezium ABCD ABC = 12 angle ABC = 40 ° b=6. Calculate the circumference and area.
- Circular 6760
What circular track radius must a runner run six times to run 1.8km?
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