Answer:
32
Step-by-step explanation:
The three consecutive numbers are: 32, 33, 34
They add up to 99
Answer:
<u>Area = 34.2 cm²</u>
Step-by-step explanation:
The general formula of the area of the triangle is half the product of two sides multiplied by the sine the angle between them.
So, for the given triangle ABC
AC = 9 cm, AB = 8 cm, CB = 10 cm
Area = 0.5 AC * AB * sin A or 0.5 BC * BA * sin B or = 0.5 CA * CB * sin C
Using the first form, so we need the measure of angle A
Using cosine low: cos A = (b² + c² - a²)/(2bc)
Where: a = BC = 10 , b = AC = 9 and c = AB = 8
So. cos A = (9² + 8² - 10²)/(2 * 9 * 8 ) = 0.3125
∠A = cos⁻¹0.3125 = 71.79°
So, Area = 0.5 AC * AB * sin A = 0.5 * 9 * 8 * sin 71.79° = 34.2 cm²
<u>So, Area = 34.2 cm²</u> to the nearest one decimal place
Answer:
Center:(-6,-4)
Circumference:45.31
Area:163.4
Step-by-step explanation:
The given circle has diameter with endpoints P(-12,-8) and Q(0,0).
The center is the midpoint of P(-12,-8) and Q(0,0).
We use the midpoint rule to find the center.
Use the distance formula to find radius using the center (-6,-4) and the point on the circle (0,0) or (-12,-8).
The circumference is
The area is given by:
Answer:
18.6 units
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. A diagonal can be drawn between opposite corners that splits the triangle into two equal right triangles. The distance of this diagonal is found using the Pythagorean Theorem a² + b² = c². In the rectangle a = 11 and b = 15. Substitute these values and simplify using a square root operation.
11² + 15² = c²
121 + 225 = c²
346 = c²
√346 = c
18.6= c
B. The data set is skewed to the left.