We meet again
so first divide 60 by 5
this gives 12
then multiply 12 by 4
giving a final answer of 48
Answer:
Step-by-step explanation:
Notice that 
is a right triangle where its hypotenuse is 
. We can also see that 
. For this we must use the Pythagorean Theorem.
Recall:
The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.
We can see that 
and 
The product of the expression given above most likely yield a complex number since the expression as well is a complex number. A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:
a + bi
<span>( 9 + 5i)( 9 + 8i)
</span>81 + 72i + 45i -40
41 + 117i
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%
Answer:
see explanation
Step-by-step explanation:
Using the Sine rule in all 3 questions
(1)
= 
, substitute values , firstly calculating ∠ B
[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]
= 
( cross- multiply )
a sin53° = 18 sin78° ( divide both sides by sin53° )
a = 
≈ 22.0 ( to the nearest tenth )
(3)
= , substitute values
= 
( cross- multiply )
45 sinC = 35 sin134° ( divide both sides by 35 )
sinC = 
, then
∠ C = 
( ) ≈ 34.0° ( to the nearest tenth )
(5)
Calculate the measure of ∠ B
∠ B = 180° - (38 + 92)° = 180° - 130° = 50°
= , substitute values
= 
( cross- multiply )
BC sin50° = 10 sin38° ( divide both sides by sin50° )
BC = 
≈ 8.0 ( to the nearest tenth )
