Basic operations and concepts - math word problems - page 318 of 320

Number of problems found: 6396

Perimeter - ASA theorem
Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees.
Triangle area and angle
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the vertex A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 .
Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c
Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi
Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
Eight blocks
Dana had the task of saving the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be fo
Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures.
Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went?
Road drop
A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane?
Climb of the road
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes.
Observation angle
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end?
Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC.
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)
Straight road
The straight road has a rise of 19%. How big is the pitch angle?
Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m?
Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution?
Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area.
Triangle angles
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c.

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