Answer:
hcf=(1,605; 600) = 3 × 5
Step-by-step explanation:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
1,605 = 3 × 5 × 107;
1,605 is not a prime, is a composite number;
600 = 23 × 3 × 52;
600 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Multiply all the common prime factors, by the lowest exponents (if any).
gcf, hcf, gcd (1,605; 600) = 3 × 5
gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;
The numbers have common prime factors.
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AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.
C ====> 49 degrees
For letter a, to solve for AC:
AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.
use sine :
sin A ===> opposite/hypotenuse
Solve:
sin 49 ====> 3/AC
AC ====> 3 / sin 49
AC ====> 3.96 ft.
For letter b, to solve for BC:
We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:
a^2 + b^2 = c^2
Let:
a ===> AB
b ===> BC
c ===> AC
(AB)^2 + (BC)^2 ===> (AC)^2
3^2 + (BC)^2 ===> (3.96)^2
(BC)^2 ===> (3.96)^2 - 3^2
(BC)^2 ===> 6.6816
sqrt (BC)^2 ===> sqrt 6.6816
Answer: BC ===> 2.58 ft.
Hope that helps!!!! : )
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
Answer: length is 10 feet, width is 6.5 feet
Step-by-step explanation:
Answer: 5040
Step-by-step explanation:
