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2 years ago

10

Evaluate mathematical problem for one by two

itle=" 1000 \times 10" alt=" 1000 \times 10" align="absmiddle" class="latex-formula">

2 answers:

svp [43]2 years ago

7 0

1000*10

Multiply values together

10000

serious [3.7K]2 years ago

7 0

1000*10=10000. Just add 1 zero to the back because 10 has 1 zero.

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3 years ago

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Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?

Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

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3 years ago

One side of a triangle is 2 times the second side. The third side is 5 ft longer than the second side. The perimeter of a triang

TiliK225 [7]

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle = Length of first side + length of second side + Length of third side.

$2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft$

Length of Second Side = 19 ft.

Length of First side = $2x= 2\times19 = 38 ft$

Length of Third side = $5+x= 5+19=24ft$

Hence the Length of triangles are 19 ft,38 ft,24 ft.

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3 years ago

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Multply both equations by 2 leaving

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3 years ago

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