Basic operations and concepts - math word problems - page 330 of 332

Number of problems found: 6634

Road
A gradient of 1:19 represents the average climb of the road. By what angle does the road moderate climb?
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.
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.
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?
CuSO4 mixture
How many grams of solid CuSO₄ must be added to 450 g of a 15% CuSO₄ solution to produce a 25% solution?
Climb of the road
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes.
Triangle angles
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c.
Maximum area of rhombus
At what interior angles does a rhombus have the maximum area?
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.
Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a
Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
Rhombus
Internal angles of a rhombus are in the ratio 2:5. How many times is the shorter diagonal longer than the side of the rhombus?
Sine theorem 2
From the sine theorem, find the ratio of the sides of a triangle whose angles are 30°, 60°, and 90°.
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)
Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.
Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1.
Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
Isosceles triangle
What are the angles of an isosceles triangle ABC if its base is long a=7 m and has an arm b=9 m?
Descent of road
A road sign shows a gradient of 10.9%. Calculate the angle of inclination of the slope.
Periodic function
Simplify by using periodicity cos 1125°

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