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2 years ago

Find the area of the shape above

Mathematics

1 answer:

kirill115 [55]2 years ago

6 0

Answer:

625 cm^2

Step-by-step explanation:

Break it into a rectangle on the bottom and a triangle on top

rectangle area = 50 x 8 = 400 cm^2

triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2

added together = 625 cm^2

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Find the LCM of n^3 t^2 and nt^4. A) n 4t^6 B) n 3t^6 C) n 3t^4 D) nt^2

patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are $n^3t^2$ and $nt^4$ .

The factored form of each term is

$n^3t^2=n\times n\times n\times t\times t$

$nt^4=n\times t\times t\times t\times t$

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

$LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t$

$LCM(n^3t^2,nt^4)=n^3t^4$

The LCM of given terms is $n^3t^4$ . Therefore the correct option is C.

8 0

3 years ago

Read 2 more answers

Which term best describes the definition below?

Amiraneli [1.4K]

When a set of objects are chosen from a larger set in which the order of the object doesn't matter, we call this combination. Otherwise if the order of selection would matter this would be called a permutation.
Probability is the likelihood of selecting a particular specified object in from a specified group of objects.
Therefore our answer is B.

4 0

3 years ago

The sum of 4 times the number x and 26 is 130.

Lesechka [4]

Answer:

A. Correct choice is C

B. Correct choice is B

Step-by-step explanation:

4 times the number x is 4x.

The sum of 4 times the number x and 26 is 4x+26.

The sum of 4 times the number x and 26 is 130, then

4x+26=130.

Correct option is option C.

Solve this equation:

4x=130-26,

4x=104,

x=26.

6 0

3 years ago

Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the

notka56 [123]

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

$Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km$

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

5 0

3 years ago

Read 2 more answers

What is the value of x in the equation 2x + 3y = 6 ?

erastovalidia [21]

Answer:

x = -3/2y + 3

Step-by-step explanation:

2x + 3y = 6

2x = -3y + 6

x = -3/2y + 3

3 0

3 years ago