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3 years ago

Sally has Christmas lights the roof is 16 feet high the ladder is 20 ft long how far away is letter from wall

1 answer:

4 0

It should be 12 ft away from the wall. Not 4 ft. You do not just subtract the difference because as you pull it away from the wall, the ladder is mostly moving horizontally with only a small vertical change.

You can use Pythagorean Theorem to find the answer. Think of the ladder as the hypotenuse of a right triangle with the wall and the ground as the legs.

a^2 + b^2 = c^2

16^2 + b^2 = 20^2

b^2 = 20^2 - 16^2

b^2 = 144

b = 12 ft

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The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up

Norma-Jean [14]

Answer:

7000

Step-by-step explanation:

divide 600 and 30 then multiply that answer by 350

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3 years ago

Given two parallel lines cut by a transversal same side interior angles are congruent

lozanna [386]

False. The postulate states: If two <span> parallel</span> lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.

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3 years ago

Ethan writes 2/3 of a page in 5/12 of a minute. How much time does it take him to write one page

Nataliya [291]

2/3 of a page in 5/12 of a minute

Multiply both fractions by 3/2

$\frac{2}{3} \times \frac{3}{2} = 1$

$\frac{5}{12} \times \frac{3}{2} = \frac{5}{4} \times \frac{1}{2}=\frac{5}{8}$

So, Ethan can read 1 page in 5/8 of a minute.

8 0

3 years ago

At a fundraiser, students sold chocolate bars with almonds and chocolate bars with walnuts. The number of chocolate bars with al

BabaBlast [244]

Answer:

Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.

Step-by-step explanation:

Let number chocolate bars with almonds be x

Also let number chocolate bars with walnuts be y

Given:

Number of chocolate bars with almonds that were sold one weekend was 3 less than 2 times the number of chocolate bars with walnuts.

Framing the above sentence in equation form we get;

$x=2y -3$

Also given:

The number of chocolate bars with walnuts plus 4 times the number of chocolate bars with almonds was 300.

Framing the above sentence in equation form we get;

$4x+y=300$

Now Substituting the value of x in above equation we get;

$4x+y=300\\4(2y-3)+y=300\\8y-12+y=300\\9y=300+12\\9y=312\\\\y=\frac{312}{9} \approx 34.67$

Now we will substitute the value of y in equation $x=2y -3$ we get;

$x=2y-3 = 2\times34.67 -3 = 69.34-3\approx66.34$

Hence, Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.

6 0

3 years ago

If a triangle has sides 4, 6 and 10 and a 2nd similar triangle has a perimeter of 60, find the 2nd largest side of the 2nd trian

algol13

The first triangle has a perimeter of 4+6+10 = 20.

The 2nd longest side is 6/20 = 3/10 of the perimeter. In the larger triangle, the 2nd longest side will have length (3/10)*60 = 18.

_____
These side lengths mean the "triangle" is a line segment. That is, it has zero area.

8 0

3 years ago