Divide the perimeter by 3 to find the side length.
Since the formula for the are of a triangle is
1/2 * b * h the height must be found.
If a perpendicular line is drawn from the apex of the triangle, a right triangle is formed with a base of 5 and a hypotenuse of 10. Also since it originally was equilateral the base angle is 60 degrees. The rules for finding lengths of sides of equal. Triangles is long leg = sqrt3 * short leg
the height is the long leg so the height is 5sqrt3.
A=(1/2)(10)(5sqrt3)= 25sqrt3
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
Answer:
5115
Step-by-step explanation:
We know:
a_1 = 5 the first term in the geometric sequence.
r = 2
We want Sum a_i for i = 1 to 10
a_n = 5* 2^(n-1)
Sum a_i for i = 1 to 10 = G
G = a_1* (2*2^(n-1) - 1) / (2 - 1)
G = 5 * (2^(n) - 1)/ (2 - 1), n = 10
G = 5* (2^(10) - 1)
G = 5*(1024 - 1) = 5*(1023) = 5115
Take a look at the attachment, but the correct answer is
12 feet.
9514 1404 393
Answer:
- horizontal: 390 N
- vertical: 590 N
- 707.2∠56.5° N
Step-by-step explanation:
The problem statement tells you the two horizontal forces are 185 N and 205 N. The total horizontal force is (185 +205) N = 390 N.
The vertical forces are said to be 300 N and 290 N. The total vertical force is (300 +290) N = 590 N.
The magnitude of the resultant is the root of the sum of the squares:
√(390² +590²) = √(152100 +348100) = √500200 ≈ 707.248
The angle of the resultant (relative to the horizontal) is ...
α = arctan(vertical/horizontal) = arctan(590/390) ≈56.53°
The resultant force is about 707.2 N at an angle of 56.5° above the horizontal.