Answer:
<em>The height of the monument is 124.8 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:
The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.
Taking the angle of 68° as a reference:
Solving for h:
Calculating:
h = 118.8 ft
The height of the monument is 118.8 ft + 6 ft = 124.8 ft
C. -3n=27. that should be the answer
So 2 real solutions
just write 2 factors and expand
(x-3)(x-4)=0
x^2-7x+12=0
discriminant is when you have b^2-4ac
so subsitute
ax^2+bx+c=0
a=1
b=-7
c=12
-7^2-4(1)(12)
49-48=1
discriminant=1
one real solution would be
(x-1)(x-1)=0
x^2-2x+1=0
discriminant=-2^2-4(1)(1)=4-4=0
discriminant=0
no real solutions has the discriminant less than zero
let's say that b=1 and c=20 and a=1
basically, we need a set of numbers where b^2 is less than 4acso
1^2-4(1)(20)=1-80=-79
then we subsitute
x^2+x+20=0
Answer:
$85,837.41
Step-by-step explanation:
The future value will be ...
P(1 +r)^t
$20,000(1 +.06)^25 ≈ $85,837.41
Answer:
Norma should be offered the job.
Step-by-step explanation:
For Norma;
Population mean; μ = 67.5
Sample mean; x¯ = 84.5
standard deviation; σ = 10
Formula for the test statistic is;
z = (x¯ - μ)/σ
z = (84.5 - 67.5)/10
z = 1.7
For Rebecca;
Population mean; μ = 293
Sample mean; x¯ = 306.5
standard deviation; σ = 27
Formula for the test statistic is;
z = (x¯ - μ)/σ
z = (306.5 - 293)/27
z = 0.5
For Morgan;
Population mean; μ = 7.1
Sample mean; x¯ = 8.38
standard deviation; σ = 0.8
Formula for the test statistic is;
z = (x¯ - μ)/σ
z = (8.38 - 7.1)/0.8
z = 1.6
The person with highest z-score is Norma and as such he should get the job.