Answer:
A is correct, 7 units. Hope this helps! :)
Answer: 1,509.52 meters
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression from one mountain to another, the opposite side is the difference between heights, and the adjacent side (x) is the horizontal distance between the two summits.
Replacing with the values given:
Tan 15.9 = 430/x
Solving for x:
x = 430/ (tan 15.9)
x= 1,509.52 meters
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
We are to find the product of the given expression. Given the expression
(3xy - 1) (4xy + 2), th product is derives by simply opening up the bracket as shown below;
The expression 2(6x²y²+xy-1) gives the required product.
Answer:
The answer is option A
Step-by-step explanation:
Reflection in the y axis is
(x , y) → ( - x , y)
The coordinates of A are ( 2, -5)
When it's reflected in the y axis it becomes
( - 2 , - 5)
Hope this helps you
Answer:
3. 294 m²
4. 185,856 mm²
Step-by-step explanation:
To find the surface area of any figure, you can simply find the sum of the areas of all the sides. In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides. The measurements for the triangles are b = 9m and h = 6m. The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m². The measurements for the other three rectangles are given:
7(10) + 8(10) + 9(10) = 240 m² + 54 m² = 294 m²
The surface area of a cube is much easier since all sides are equal and can be found using the formula:
SA = 6s², where 's' represents the measure of a side.
SA = 6(176)² = 185,856 mm²