We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse
x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x
x^2+36=100 Square each individual term
x^2+=100+36 Subtract 36 from both sides
x^2=64 Combine like terms
sqrt(2)=sqrt(64) Take the square root of both sides
x = 8 Simplify the square root
So our answer is x = 8
The ladder touches the 8 feet mark on the wall.
Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3 4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3
w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
2.4g / 12 minutes
0.2g/minutes
Answer is 0.2 gallons per minute
35
Area of rectangle
21m^2
Area of one triangle
divide length of 7 by 2 (3.5)
gives you length b (unknown side that is not hypotenuse)
then multiply by width of triangle (4)
3.5 * 4 = 14
and in this situation there is no need to divide by two, because you essentially have one full square from both the triangles. this only works when both triangles are the same.
add the area of the rectangle
14+21= 35
35m^2
Answer:
1/4
Step-by-step explanation:
The sample space of an event is the list of all possible outcomes.
Let F represent moving forward and B represent moving backward. This makes the sample space for the game
F1, F2, F3, F4, F5, F6
B1, B2, B3, B4, B5, B6
There are 6 ways to move backward; only 3 of these are even numbers.
This is 3 ways out of 12 possible moves; this makes the probability
3/12 = 1/4
