Answer:
It is not a right triangle. The hypotenuse is the biggest side so if you apply the Pythagorean Theorem formula it does not work.
Step-by-step explanation:
A² + B² = C² -------> 10² + 12²=20² --------> 100 + 144 = 400 ---> 244 = 400
The answer would be $10.31 us dollars
14/9
You would get this by first getting the fraction out of the denominator by multiplying the inverse by the numerator. Then you can cross multiply and solve.
Answer:
Step-by-step explanation:
To do these the main think to consider is the boundaries of the functions. In other words, check when the boundary is true and use that function. And so,
If we look at 1a.) f(-3) this means that x=-3. Now check the boundary condition of both equations first. For 6x-1 use it only if x<0 well is -3<0? Yes, so we will use this function. But let's check why we won't use 7x+3 this is because the boundary is x≥0 and since x=-3, -3≥0 is false so we dont use that function. Therefore:
f(x)=6x-1
f(-3)= 6(-3) - 1 = -18 - 1 = -19
1b.) Same idea so we will use 7x+3 because 0≥0 is true and so:
f(x)= 7x + 3
f(0) = 7(0) + 3 = 0 + 3 = 3
1c.) We will use the second equation since 4≥0 is true and so:
f(x) = 7x + 3
f(4) = 7(4) + 3 = 28 + 3 = 31
You will use the same logic to solve 2 and 3. Good luck! Hope this helps!
Answer: Angle A is 115 degrees
Step-by-step explanation:
In triangle ABC, the measure of angle A is seven more than four times measure of angle B. This means that
Angle A = 4(Angle B) + 7
The measure of angle C is eleven more than measure of angle B. This means that
Angle C = Angle B + 11.
The equations are
A = 4B + 7 - - - - - - - - 1
C = B + 11 - - - - - - - - - - 2
Recall that the sum of the angles in a triangle is 180 degrees. This means that
A + B + C = 180 degrees
Substituting equation 1 and equation 2 into A + B + C = 180, it becomes
4B + 7 + B + B + 11 = 180
6B + 18 = 180
6B = 180 - 18 = 162
B = 162/6 = 27 degrees
Substituting B = 27 into equation 1, it becomes
A = 4×27 + 7 = 108 +7
A = 115 degrees
Substituting B = 27 into equation 2, it becomes
C = 27 + 11
C = 38 degrees
Sum of the angles is 115 + 27 + 38 = 180
