Answer:
∠A ≈ 66°
∠B ≈ 24°
AC ≈ 1.2
Step-by-step explanation:
SOH CAH TOA and the Pythagorean theorem are useful tools for solving right triangles. The first tells you ...
Sin = Opposite/Hypotenuse
For ∠A, that means ...
sin(A) = BC/AB = 2.7/2.95
The inverse sine function (sin⁻¹ or arcsin) is used to find the angle from its sine value, so ...
A = arcsin(2.7/2.95) ≈ 66°
Likewise, the ratio for angle B involves the adjacent side:
Cos = Adjacent/Hypotenuse
cos(B) = BC/AB = 2.7/2.95
B = arccos(2.7/2.95) ≈ 24°
Of course, angles A and B are complementary, so once you know angle A, you know that angle B is ...
∠B = 90° -∠A = 90° -66° = 24°
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The Pythagorean theorem can be used to find the unknown side. It tells you ...
AB² = AC² + BC²
2.95² = AC² + 2.7²
AC = √(2.95² -2.7²) ≈ 1.2
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These calculations are shown in the attachment using a TI-84 graphing calculator set to degrees mode. Any scientific or graphing calculator will do.
I believe the correct answer is D.
Answer:
<h2>$99.84</h2>
Step-by-step explanation:
Step one:
given data
we are told that before tax the bill is pretax= $78
the tax is 8%
and he left 20% of the pretax for the attendant.
Step two:
let us find the amount he paid for eating with tax
=8/100*78
=0.08*78
=$6.24
with tax the meal cost is
= 78+6.24
=$84.24
let us solve for the tip he left (note: it is 20% of the pretax)
=20/100*78
=0.2*100
=$15.6
the tip is $15.6
Step three:
<u>the total amount he paid after eating plus tax and tip is </u>
78+6.24+15.6
=$99.84
Answer:
They traveling at 
in backward direction.
Step-by-step explanation:
Given mass of Ammy 
and velocity is forward at 
Also, mass of Jenny 
Who is travelling in opposite direction 
Let velocity in forward direction is positive and velocity in backward direction is negative.
Also, velocity after crash is 
As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.
Conservation of momentum says momentum before collision should equal to momentum after collision.
So, velocity after collision ≅
is in opposite direction. That is the direction of Jenny.
Answer:
b= -8/5
Step-by-step explanation:
-5-3=7b-3b
-8=5b
b= -8/5
