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3 years ago

What is thicker 1.75 or 1.950

Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

1.950 because the first number after the decimal is bigger

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What's the 7th term in the geometric sequence

Marta_Voda [28]

$a_{7} = 2 \times 5^{7 -1} = 2 \times 5^{6} = 2 \times 15,625 = 31,250$

4 0

3 years ago

A fish tank in the shape of a rectangular prism holds 30 cubic feet of water .the tank has a length of 5 feet and width of 3 fee

Flura [38]

Answer:

A - 2 feet

Step-by-step explanation:

We know that the tank is a rectangular prism which means the volume is equal to length*width*depth

since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth

30/5 = 6

6/3 = 2

therefore, the depth of the tank has to be 2 feet (A)

5 0

3 years ago

Find the area of the isosceles triangle. please help thanks

fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2 Substitute for b^2 = h^2

24^2 + h^2 = 51^2 Expand 24^2 and 51^2

576 + h^2 = 2601 Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025 Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

5 0

3 years ago

Proof that 1^√2 = 1 is true

Reika [66]

Answer:

1^sqrt(2) = 1 is always true

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Alice and her friend Emma leave on different flights from the same airport. Alice's flight flies 100 miles due south, then turns

DaniilM [7]

9514 1404 393

Answer:

Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

d² = 100² +50² -2·100·50·cos(180° -T)

d² = 12500 +10000·cos(T) . . . . . . . using cos(180°-T) = -cos(T)

d = 100√(1.25+cos(T))

For Alice's 70° turn, the distance is ...

d = 100√(1.25+0.342) ≈ 126.18 mi

For Emma's 50° turn, the distance is ...

d = 100√(1.25 +0.643) ≈ 137.58 mi

Emma's flight is farther from the airport.

_____

The law of cosines formula is ...

c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

3 0

3 years ago