Square root - math word problems - last page
Number of problems found: 1120
- Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle hAB to the side AB.
- Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible.
- Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x).
- Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
- Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m?
- Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm.
- Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base.
- Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long.
- Square and circles
Square with sides 68 km is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Cube diagonal
Determine the length of the cube diagonal with edge 23 km.
- Ladder
The ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall?
- Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 82 cm, |BC|=60 cm, |CD|=19 cm, |AD|=39 cm..
- Quadratic equation
Solve a quadratic equation: 2x²+28x-550=0
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55.
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL) if the track is 158 km long.
- Trolleybus
Trolleybus line No. 215 measured 30 km. If the trolley bus goes faster by 4 km/h, the way there and back would be shorter by 39 minutes. Calculate the trolley bus speed and time for a return trip.
- Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
- Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
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