Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
Answer:
without doing the math, we can affirm that the percent in decrease in the price of the gloves is <u>not</u> the same as the percent increase of the goggles. decreasing $2 from $10 will have a lower decrease than an increase of $2 from $8 since $2 represents a higher portion of $8 compared to $10
Step-by-step explanation:
(please give brainliest, much appreciated)
Answer:
- 1 and 16
- 0 and 20
- 3 and 8
- 5 and 0
Step-by-step explanation:
Answer:
$20.63 if you tip on the pre-tax amount
Step-by-step explanation:
You pay $12.99 for the pizza, plus the 8% tax on the pizza, plus the 20% tip of the cost of the pizza, so if you tip on the pre-tax amount, you pay
$12.99(0.08) = $1.04 in sales tax
$12.99(0.2) = $2.60 for the tip
and $4 delivery charge,
so you pay a total of
$12.99 + $1.04 + $2.60 + $4 = $20.63
Answer:
66.6%
Step-by-step explanation:
40/60=4/6=2/3
2/3=66.6
