Answer:
Length of an isosceles triangle is, 3.12 m
Step-by-step explanation:
Given: Perimeter of an isosceles triangle is 15.6 m.
Let a be the length of sides and b be the base of an isosceles triangle respectively.
To find the length of the sides(a);
Isosceles triangle is a triangle with two equal sides and two equal base angles.
Perimeter of the isosceles triangle is the sum of the three sides i,e
Perimeter(P) = a +b +a = 2a +b
also it is given that; the base is 3 m bigger than a leg.
⇒ b = 3 a
Substitute this in perimeter formula;
P = 2a +3a =5a
Substitute the value of perimeter = 15.6 m
we have;
Divide both sides by 5 we get;
Simplify;
a = 3.12 m
Therefore, the length of the sides of an isosceles triangle is, 3.12 m
Answer:
The legs are 4.2m long.
The base is 7.2m long.
Step-by-step explanation:
x=leg
y=base
We can write two equations with the information given.
y=x+3
2x+y=15.6
We can solve this as a system of equations.
y=x+3
-(2x+y=15.6) - make the bottom equation negative.
-2x=x-12.6 - add the bottom to the top, canceling out the y.
-2x+12.6=x - add 12.6 to both sides.
12.6=3x - add 2x to both sides.
4.2=x - divide both sides by 3.
x=4.2
Now we can solve for y.
y=x+3
y=(4.2)+3 - substitute in the x.
y=7.2
Answer:
Number of sandwiches per boy = s / 5
Step-by-step explanation:
To determine how many sandwiches each boy gets when they share s sandwiches among Bob, Joe, Pete, Tom, and Tim, you can divide the total number of sandwiches (s) by the number of boys (5):
Number of sandwiches per boy = Total number of sandwiches / Number of boys
Number of sandwiches per boy = s / 5
Each boy gets s/5 sandwiches. The result is a fraction, as it depends on the total number of sandwiches (s) divided equally among the 5 boys.
Answer:
Step-by-step explanation:
1
Answer:
(x -4)^2 = 13
Step-by-step explanation:
To solve this equation using the completing the square method;
x^2 - 8x + 3 = 0
The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.
The equation becomes;
x^2 - 8x = -3
The next step is to add square of half of the coefficient of x to both-side of the equation. That is; you will add (-4)^2 to both-side of the equation.
x^2 - 8x + (-4)^2= -3 + (-4)^2
Then, we factorize the left hand side of the equation and our equation
(x - 4)^2 = -3 + (-4)^2
The we simplify the right-hand side of the equation
(x - 4)^2 = -3 + 16
(x - 4)^2 = 13
a.v=2/3bh
b. v=1/4bh
c.v=2bh
d.v=1/6bh
Answer: D) V= 1/6 bh
Step-by-step explanation:
Since according to the given question, A pyramid is placed inside a prism.
And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.
Therefore, base area of the pyramid = b
Height of the pyramid = h/2
Since, The volume of the pyramid,
V = 1/3 × base ares × height
V= 1/3 × b × h/2
V= 1/6 bh
Thus the required volume = 1/6 bh cube unit.
Therefore Option D is correct.
Answer:
V = 1/6 BH
Im also taking this class on edmentum
Step-by-step explanation:
the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6
Can someone help with this?
Answer:
The first and 3rd are functions, but the second and fourth are not functions.
Step-by-step explanation:
To see if something is a function, use the vertical line test. If there are multiple y coordinates for a singular point for x, it is not a function.