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3 years ago

Help w/ Geometry!!

Mathematics

1 answer:

BaLLatris [955]3 years ago

7 0

Answer:

If the shape is a square,then it is a rectangle.

Step-by-step explanation:

The hypothesis of the statement is the one which follows after if,

If the shape is a square.

The conclusion of the statement is the sentence that follows after then,

Then it is a rectangle.

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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t

konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

$B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8$

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

$L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4$

The new height (H+x) is

$H'=H+x=6+4=10$

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0

3 years ago

What are all the shapes my quadrilateral Must be and could be if it has a pair of equal sides and a pair of parallel sides

masha68 [24]

If the parallel sides are the same length, then the figure must be a parallelogram. You can prove this by dividing the parallelogram into two triangles, and then using SAS (side angle side) to prove the triangles congruent, which leads to you showing the corresponding angles are the same measure, therefore the other set of sides must be parallel as well.

If the non parallel sides are the same length, then you have an isosceles trapezoid. A trapezoid is any figure with exactly one pair of parallel sides. An isosceles trapezoid is one where the non-parallel sides are the same length. The non-parallel sides are sometimes considered the legs of the trapezoid (and the parallel sides are the bases).

If you have two adjacent sides that are same length, and you have one set of parallel sides, then you could have a trapezoid (not isosceles but just a more generalized trapezoid)

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4 years ago

What is the value of the expression below? -8 + 19 + 8 0 11 19 35

Inga [223]

Answer:

Step-by-step explanation:

-8+8=0

0+19=19

Hope it helps.

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3 years ago

45 basketball players participate in a tournament. Write and solve a multiplication equation to find the number of 3-person team

madam [21]

Permutation

45 choices for first slot
44 for 2nd
43 for 3rd

answer is 45*44*43=85140 number of 3 person teams

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3 years ago

What is the Probability A high school band has 8 freshmen, 12 sophomores, 16 juniors, and 14 seniors? If a student is selected a

pentagon [3]

.28 or 28% chance the randomly selected student is a senior. There are 50 total students in the band, and 14 seniors, so the probability that a senior is randomly selected is 14/50 or .28

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3 years ago