All categories

3 years ago

Please I need someone to help my assignment

Mathematics

1 answer:

nadya68 [22]3 years ago

4 0

Answer:

Step-by-step explanation:

The altitude of ΔYES is the geometric mean between 'n' and 'm'

Proportion → $\frac{m}{a}=\frac{a}{n}$

The shorter leg 'a' is the geometric mean between 'h' and 'm'

Proportion → $\frac{h}{a}=\frac{a}{m}$

The longer leg 'b' is the geometric mean between 'h' and 'n'

Proportion → $\frac{h}{b}=\frac{b}{n}$

You might be interested in

Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volu

MAXImum [283]

Answer:

(A)The height of each pyramid is One-half h units.

Step-by-step explanation:

Height of the Cube = h units

Volume of the Cube $=h^3 $ cubic units$

If Base of the cube =Base of the square pyramid

Base of the square pyramid = h units

$\text{Volume of a Pyramid}=\dfrac{1}{3}*Base Area*Height$

$\text{Volume of One Pyramid}=\dfrac{1}{3}*h^2*Height$

$\text{Volume of Six Pyramids}=6*\dfrac{1}{3}*h^2*Height\\=(2h^2*Height)\:cubic\:units$

Since Volume of the Cube = Volume of Six Square Pyramids

Then:

$2h^2*Height=h^3\\Height=\dfrac{h^3}{2h^2} \\$Height of each pyramid =\dfrac{1}{2}h \:Units$

5 0

3 years ago

Read 2 more answers

Consider the following frequency distribution:

daser333 [38]

Answer:

Relative frequency

0.214

0.268

0.446

0.071

Total 1

Step-by-step explanation:

The relative frequency is computed by dividing the individual frequencies to the sum of frequencies.

sum of frequencies=12+15+25+4=56

Class Relative Frequency

10-20 12/56=0.214

20-30 15/56=0.268

30-40 25/56=0.446

40-50 4/56=0.071

Total 12/56+15/56+25/56+4/56=56/56=1

8 0

4 years ago

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

Iteru [2.4K]

The answer is really none of the above, because all of these have divisions by difference in x, and there are perfectly fine rectangles where those will mean dividing by zero.

To do the problem the way they want us to, we note segments with the same slope are parallel (or collinear); segments with slopes which multiply to -1 are perpendicular.

Let's figure out what each choice is trying to tell us by translating it into parallel and perpendicular. Remember A is point 1, ...

A. ((y_4-y_3)/(x_4-x_3)= (y_3-y_2)/(x_3-x_2)) and ((y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2))=-1

translated, that's CD║BC and CD⊥BC - contradictory; second half right

B. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and ((y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1))=-1

CD ║ AB and CD ⊥ AB - only the parallelogram half is right

C. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and (y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2)=-1

CD║AB and CD⊥BC - that's TRUE

D. (y_4-y_3)/(x_4-x_3)= (y_3-y_1)/(x_3-x_1) and (y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1)=-1

CD║AC and CD⊥AB - nope

Answer: C

The way I'd get the proper expression is with the dot product.

A parallelogram is a rectangle when adjacent sides are perpendicular. It only takes one right angle to make them all right.

Two sides are perpendicular when the dot product of their direction vectors is zero. All the answers have $y_4 - y_3$ so one side is CD. The other side must be BC or AD; AD would give $y_4 - y_1$ terms which don't appear among the answer, so let's go with BC.