Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
Since we know the values of all three side lengths, we solve the equation for x:
For the triangle ABC in the image, a=10, b=15, c=13, thus:
Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:
Solving for h:
h = 8.54 units
Answer:
Cross sections perpendicular to the base and through the vertex will be triangles. Below, you can see a plane cutting through the pyramid, part of the pyramid removed, and the cross section. You could also take a slice parallel to the base. Cross sections parallel to the base will be hexagons.
Step-by-step explanation:
Answer:
x= 16 and y = 9
Step-by-step explanation:
1 st equation ; x+y = 25
2 nd equation ; x- y = 7
from 1 st equation
x = 25 - y
now putting value of x in 2 nd equation
x- y = 7
25 - y-y = 7
25 -2y =7
25-7 = 2y
18 = 2y
18/2 = y
y = 9
again
putting value of y in 1 st equation
x = 25-y
x = 25-9
x= 16
Answer:
2n+13
Step-by-step explanation:
Let x the age of John
Amy's age = x + 9
from question, we get,
John's age + Amy's age = 23
x+(x+9)= 23
=> x + x + 9 = 23
=> 2x = 23 - 9
=> x = 14/2
=> x = 7
