Answer: B. x=10
Step-by-step explanation:
<u>Concept</u>
- If it is an isosceles triangle, then the altitude would also be the median of the base, meaning that it divides the base evenly.
- We are going to use the Pythagorean theorem which is a²+b²=c², where [a] and [b] are legs, and [c] is the hypotenuse.
<u>Given</u>
Hypotenuse (relative) = √74
Altitude (one leg) = 7
The other leg (half of the base) = x/2
<u>Solve</u>
a² + b² = c²
(7)² + (x/2)² = (√74)²
49 + x²/4 = 74
x²/4 = 25
x² = 100
x = 10
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The answer:
the full question is as follow:
if A+B-C=3pi, then find sinA+sinB-sinC
first, the main formula of sine and cosine are:
sinC = 2sin(C/2)cos(C/2)
sinA +sinB = 2sin[(A+B)/2]cos[(A-B)/2]
therefore:
sinA+sinB-sinC = 2sin[(A+B)/2]cos[(A-B)/2] - 2sin(C/2)cos(C/2)
sin[(A+B)/2] = cos(C/2)
2sin(C/2)cos(C/2) = cos[(A+B)/2
and
A+B-C=3 pi implies A+B =3 pi + C, so
cos[(A+B)/2] = cos [3 pi/2 + C/2]
and with the equivalence cos (3Pi/2 + X) = sinX
sinA+sinB-sinC = cos(C/2)+ sin(C/2)
The inequality that describes this scenario is:
----------------------
- The entrance fee is of $18.
- Each paintball costs $0.08.
- Thus, the cost of buying B paintballs is given by:
----------------------
- For the promotion, the spending must be of at least $75, thus, the inequality that describes this scenario is:
A similar problem is given at brainly.com/question/22312773
1 is the model and 24 is the real car and it means the real car is 24 times bigger than the model toy car.
The factor of the trinomial is 
Explanation:
The given trinomial is 
We need to determine the factor of the trinomial.
The factor of the trinomial can be determined by finding the root of the trinomial.
Let us factorize the trinomial
Thus, the trinomial can be written as,
Grouping the terms, we have,
Simplifying the terms, we get,
Multiplying the terms, we have,
Thus, the factor of the trinomial is
