Answer:
The measure of side AB is 6√3 cm.
Step-by-step explanation:
The question is:
In the right triangle shown, ∠A = 30° and BC = 6. What is AB?
Solution:
Consider the right-angled triangle ABC below.
In the triangle:
∠A = 30°
∠B = 90°
BC = 6 cm
According to the trigonometric identities for a right-angled triangle the tangent of an angle is the ratio of the length of perpendicular side to the length of the base.
That is for angle θ° the value of tan θ° is:
In the triangle ABC, the perpendicular side is side BC and the base is AB.
Compute the length of side AB as follows:
The value of tan 30° is,
The value of side AB is:
Thus, the measure of side AB is 6√3 cm.
$14.06, we can find the total cost by multiplying that by 30, to giveus $421.80 if there were no discount. We can find the discount price in two equivalent ways, either by finding 30% of 421.80 and subtracting that,or by finding 100% - 30% = 70%. That is, the new price will be 70% of the old price. Since they wantthe new price, and not the discounted amount, it is simpler to use 70% 70% = 70/100 or 0.7. 0.7 x 421.80 = $295.26
Answer:
-15625
Step-by-step explanation:
Hope this helps!
Remember that multiplication is <em>commutative</em>, which means the order in which we multiply things doesn't matter.
The order of u × q × v × p (which we can abbreviate uqvp) isn't as important as the fact that <em>we're multiplying all four values together</em>. We could just as easily rewrite the expression as pquv, and it'd represent the same value.
To find this value then, we can simply multiply pq and uv - the values we already know - together.
If we start with the expression pq = 23, we can multiply either side by uv (taking advantage of the <em>multiplication property of equality) </em>to get
pquv = 23uv
And since we know that uv = 1/23, we can use the <em>substitution property of equality</em> to replace the uv on the right side with 1/23:
pquv = 23(1/23)
The <em>inverse property of multiplication </em>states that any number multiplied by its inverse (its reciprocal) gives us 1. 23 and 1/23 are reciprocals of each other, so 23(1/23) = 1, which means
pquv = 1
Finally, going back to the second paragraph, we can use the <em>commutative property of multiplication </em>to rearrange the left side of the equation, giving us the solution
uqvp = 1
Its greater than -3. 2 - 5/7 = 1 2/7.
