The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.
<h3>What is the calculation backing the above solution?</h3>
Notice that the Angles of a Triangle add up to 180° That is
∠A + ∠B + ∠C = 180°
Thus,
∠C = 180° - 32° - 109°
= 39°
Recall the Sine Theorem which indicates;
a/SinA = b/SinB = c/SinC
thus given that
AC = 1,523m
We have
AC/SinB = BC/SinA
BC = AC/SinB * SinA
= 1523/Sin109° * Sin32°
BC =854m
Therefore
AC/SinB = AB/SinC
Thus,
AB = AC/SinB * SinC
= 1523/Sin109° * Sin39°
AB ≈ 1,014m
Learn more about the Sine Theorem at;
brainly.com/question/27174058
#SPJ1
Answer:
5.x^8.y^3
Step-by-step explanation:
15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2
= 15/3. x^(10-2). y^(5-2). z^(2-2)
= 5.x^8.y^3.z^0
= 5.x^8.y^3
Hi there!
The answer would be 120 so D.
Add all the measurements: 20 + 60 + 40 and you get 120.
Hope this helps ;)
It should be -3x but i could be wrong
Volume is legnth times width times height so 3 dimentions
thee teacher probabl y wants you to factor the trinomial into 3 factors so
x^3+5x^2-24x
first factor out x
x(x^2+5x-24)
then factor
find what 2 numbers multiply to get -24 and add to get 5
the numbers are -3 and 8
x^2+5x-24 factors to
(x-3)(x+8)
the factored form is
(x)(x-3)(x+8)=volume
no dimention can be ≤0 so therefor
x≤0
x-3≤0
add 3
x≤3
x+8≤0
subtract 8
x≤-8
so the values for x is x<3
so if you had the volume, let's say 42 then
x^3+5x^2-24x=42
subtract 42 from both sides
x^3+5x^2-24x-42=0
factor and set each to zero to find the dimentions
