9514 1404 393
Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
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When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
Answer:
Check Internet
Step-by-step explanation:
Switch on your laptop, Open the Internet and then type your question there.
Hope this Helped You :D
Answer:
24
Step-by-step explanation:
Use Pythagorean theorem,
base² + altitude² = hypotenuse²
7² + altitude² = 25²
altitude² = 25² - 7²
= 625 - 49
= 576
altitude = √576
altitude = 24
The correct answer is B.
In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. <u>Only the correct function rule will yield the corresponding x-value. </u>
<u>Let's prove that option B is the correct one</u>
FUNCTION B y= 5x - 14
- If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 <u>CORRECT</u>
- If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 <u>CORRECT</u>
- If x= 2 --> 5(2) - 14= 10-14= -4, therefore y= -4 C<u>ORRECT</u>
- If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6<u> CORRECT</u>
- If x= 7 --> 5(7) -14= 35-14= 21, therefore y=21 <u>CORRECT</u>
