Given that the isosceles triangle has sides √45, √45 and x.
The triangle has a height of 3 units.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the formula,

Where b is the base of the triangle, a is the sides of the isosceles triangle and h is the height of the triangle.
Substituting
,
and
in the above formula, we get;

Squaring the terms, we have;

Subtracting, we get;



Thus, the value of x is 12
Hence, Option B is the correct answer.
They gave you a set of numbers that you replace the variable x in the equation to see if it gives a correct answer so just do exactly that.
6 + 2x = 24
6 + 2(6) = 24
6 + 12 = 24
18 = 24 so incorrect. both sides are not equal to each other.
6 + 2x = 24
6 + 2(9) = 24
6 + 18 = 24
24 = 24 so correct. both sides are equal to each other.
6 + 2x = 24
6 + 2(15) = 24
6 + 30 = 24
36 = 24 so incorrect. both sides are not equal to each other.
6 + 2x = 24
6 + 2(16) = 24
6 + 32 = 24
38 = 24 so incorrect. both sides are not equal to each other.
so your answer is b) 9
Answer:
None of the equations are true for p = 3.4
Step-by-step explanation:
In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:
A. 3p < 10.2
3*3.4 < 10.2
10.2 < 10.2
Not true, since the left side is equal to the right side and not less.
B. 13.6 < 3.9p
13.6 < 3.9*3.4
13.6 < 13.26
Not true since 13.6 is greater than 13.26
C. 5p > 17.1
5*3.4 > 17.1
17 > 17.1
Not true since 17 is less than 17.1
D. 8.5 > 2.5p
8.5 > 2.5*3.4
8.5 > 8.5
Not true since the left side is equal to the right side.
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy.
<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>
<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>
<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>
<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
how many feet does Dustin cast and i can't draw a pic