Answer:
I could really use some help on a question that I am struggling with. Can you help? Here it is...
Step-by-step explanation:
What is the interest on $3,500 borrowed for two years at 2.5% interest?
Step-by-step explanation:
is it addition I got 9.75
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds
</span>
Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)
Answer:
m∠b = 35°
m∠c = 145°
m∠ d = 35°
Step-by-step explanation:
To find m∠b, we use Definition of Supplementary Angles:
180 - (90 + 55) = 35°
To find m∠c, we also use Definition of Supplementary Angles:
180 - 35 = 145°
To find m∠d, we use Vertical Angles Theorem:
m∠b = m∠d = 35°