Expression of a variable from the formula - math word problems - page 101 of 132
Number of problems found: 2638
- Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm. - Unknown variable
Find the number x, which if it increases by 2, then its square increases by 21 percent. - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2: 3: 6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid.
- Simple equations
Solve the system of equations: 5x+3y=5 5x+7y=25 - Red balls
The bag has three red, 12 blue, and eight green balls. How many red balls must we add to the bag if we want the probability of pulling out the red balls to be 20%? - Circumscribed 5465
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - Free fall
How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss? - Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c.
- Chord
It is given to a circle k(r=6 cm), and the points A and B such that |AB| = 8 cm lie on k. Calculate the distance of the center of circle S to the midpoint C of segment AB. - Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Guppies
Audrey has some guppies in a fish tank. The ratio of the oranges guppies to silver guppies is 3:5. She has 12y oranges guppies. Write the number of silver guppies she has in terms of y - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder. - triangle 5420
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangl
- Double-digit 5411
Anička and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number fr - Boys and girls
There are 28 girls in the hall. 5/7 of all children are boys. How many children and how many boys are there? - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - The ladder
The ladder is 10 m long. The ladder is 8 m high. How many meters is the distant heel from the wall? - Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
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