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2 years ago

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The number of square units in the base area of a prism is greater than the number of cubic units in the volume of the prism. Is

the height of the prism less than 1 unit, equal to 1 unit, or greater than 1 unit?

1 answer:

Triss [41]2 years ago

7 0

Answer:

3

Step-by-step explanation:

1+1+1=3

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The measure of b is..

sladkih [1.3K]

Answer:

b =21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

20^2 + b^2 = 29^1

400 + b^2 =841

Subtract 400 from each side

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b =21

7 0

2 years ago

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maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she,

hammer [34]

Answer:

132 feet

Step-by-step explanation:

22+60+70

7 0

3 years ago

Two cars start out together from the same place. they travel in opposite directions, with one of them traveling 5 miles per hou

Mashutka [201]

<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.

One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
$\boxed{\boxed{ v_{1}=68mph} }$
$\boxed{\boxed{ v_{2}=63mph} }$

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3 years ago

Most ATM’s require a 4-digit code using the digits 0-9 how many 4-digit codes can you use

Zolol [24]

10000 digits can be used for 4 digit A.T.M code.

<u>Solution:</u>

Given that A.T.M required 4 digit codes using the digits 0 to 9.

Need to determine how many four digit code can be used.

We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.

Now we have four places to be filled by 0 to 9 that is 10 numbers

Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .

First digit can be selected in 10 ways that is from 0 to 9.

After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.

So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways

Hence 10000 digits can be used for 4 digit A.T.M code.

7 0

2 years ago

Draco Malfoy or the Weasley twins?

tekilochka [14]

Answer:

DRACO MALFOY FOR SURE

Step-by-step explanation:

7 0

2 years ago

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