Answer:
436 items
Step-by-step explanation:
When a quantity A is inversely proportional to another quantity B, we can write:
Where k is the proportionality constant [that we need to find]
For this problem, we can write the ratio as:
Now given N = 480 and C = 4.90, we first find k:
Now, as second step, we need this time to find N, when
C = 5.40
Note, we know know k = 2352, so we find N:
Rounding to next whole number, we have 436 items
<u>Corrected Question</u>
Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure of ∠QTS and
mRQT=mRST .
(a)Determine the measure of Angle QTS .
(b)What is the common measure of angles RQT and RST ?
Answer:
(a)48 degrees
(b)90 degrees
Step-by-step explanation:
Theorem: Opposite angles of a cyclic quadrilateral are supplementary.
(a)
Let the measure of ∠QTS=x
Therefore: m∠QRS=3x-12
∠QTS and ∠QRS are opposite angles of a cyclic quadrilateral. By the theorem above:
x+3x-12=180
4x=180+12
4x=192
x=48 degrees
The measure of angle QTS is 48 degrees.
(b)Since mRQT=mRST
mRQT and mRST are opposite angles of a cyclic quadrilateral
Therefore:
mRQT+mRST=180 degrees
2mRQT=180
mRQT=90 degrees
Therefore, the common measure of RQT and RST is 90 degrees.
