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2 years ago

Which proportion satisfies the geometric mean (altitude) theorem for the triangle?

Mathematics

2 answers:

Snezhnost [94]2 years ago

8 0

Answer:

D. $\frac{2}{h}=\frac{h}{3}$

Step-by-step explanation:

We have been given an image of a triangle. We are asked to choose the proportion that satisfies the geometric mean (altitude) theorem for the triangle.

The geometric mean (altitude) theorem states that altitude drawn from the right angle to hypotenuse divides the hypotenuse into two segments such that their product is equal to the altitude times altitude.

$\frac{2}{h}=\frac{h}{3}$

Therefore, option D is the correct choice.

Degger [83]2 years ago

3 0

D is the correct answer

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Greatest common factor of 88 and 48

kupik [55]

GFC is 8. Use a tree of 88 and 48. 88= 2^3 x 11 or 2 x 2 x 2 x 11

48=2^4 x 3 or 2 x 2 x 2 x 2 x 3 see how many groups count as the number once and multiply and bam GFC. Hope I helped! (:

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2 years ago

Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando

MariettaO [177]

Answer:

1. $14.88

2. $12.40

Step-by-step explanation:

An english translation:

A company transports office cabinets to a location 425km away. Its cost is R $ 2.10 per km traveled. When the cabinets are assembled, the vehicle's capacity is 60 units. When they are disassembled the capacity increases 6 times. We ask: 1- What is the cost per assembled cabinet? 2- What is the savings per cabinet, when these are taken apart.

Solution:

425 km with 2.10 per km means:

425 * 2.10 = $892.50 total cost

Now, when assembled, there goes 60 cabinets, so cost per assembled cabinet is:

Cost per assembled cabinet = 892.5/60 = $14.875 = $14.88

The capacity of 60 after disembling, it becomes:

60 * 6 = 360

So, cost per cabinet becomes:

892.5/360 = $2.48

The savings is how much you save up if they were assembled:

14.88 - 2.48 = $12.40

Savings = $12.40

8 0

2 years ago

A circular backyard pool has a diameter of 26 feet and is 4 feet deep. One cubic foot of water has a capacity of approximately 7

klasskru [66]

Find the water volume of the pool. The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.

Now convert this 676 cu. ft. to gallons:

Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):

676*pi cu ft 7.48 gal
--------------- * ------------- = 5056*pi gallons (rounded down from 5056.48 pi)
1 1 cu ft

The cost of filling the pool will be

5056.48*pi gallons $3
--------------------------- * ------------- = $48 (to the nearest dollar)
1 1000 gal

7 0

2 years ago

Bob has 40 cents in his pocket. If Bob has no pennies, how many different combinations of quarters, dimes, and/or nickles does h

Anton [14]

Answer:

He could have 4 dimes, or 8 nickles, or 1 quater and 3 nickels, or 1 quater with one dime and 1 nickel, or 3 dimes and 2 nickles, or 1 quater with obe nickel and one dime.

Step-by-step explanation:

hope this helps.

3 0

2 years ago

A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of $0.20/min beyond that time.

Anika [276]

Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.

Step-by-step explanation:

C(x) = 20 + 0.20(x − 60)

C(x) ≤ 60

20 + 0.20(x − 60) ≤ 60

0.20(x − 60) ≤ 60 - 20

0.20x - 12 ≤ 40

0.20x ≤ 40 + 12

0.20x ≤ 52

x ≤ 52/0.2

x ≤ 260

This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.

7 0

2 years ago