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3 years ago

Can you please explain?

Mathematics

1 answer:

Elina [12.6K]3 years ago

5 0

Okay, so what you need to figure out is that how many years in between 21 1/4 and 37 there are based on the amount the tree grows a year. So, 1 3/4 times 9 is 15.75, and this added to 21 1/4 is 37. This means that it will take the tree 9 years to grow from 21 1/4 ft to 37 ft.

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How do you solve this?

DiKsa [7]

Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.

All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.

3 0

3 years ago

The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management

dexar [7]

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1= 13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12 in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2 ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

6 0

3 years ago

URGENT! PLEASE HELP.

Harrizon [31]

The distance BC from Tower 2 to the plane will be 14,065.5 ft and the height of the plane from the ground will be 5,720.9 ft.

<h3>What is a right-angle triangle?</h3>

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A plane is located at C on the diagram.

There are two towers located at A and B.

The distance between the towers is 7600 feet and angles of elevation are given.

Then in the right-angle triangle ΔADC, we have

$\rm \tan 16 = \dfrac{H}{7600 + X}\\\\\\H = 0.2867(7600 +X)\\\\\\H = 0.2756\ X + 2179.2649$ ...1

Then in the right-angle triangle ΔBDC, we have

$\rm \tan24 = \dfrac{H}{ X}\\\\\\H = 0.4452\ X$ ...2

From equations 1 and 2, we have

0.4452X = 0.2756 X + 2179.2649

0.1696X = 2179.2649

X = 12849.439 ≅ 12,849.4 ft

Then the distance BC from Tower 2 to the plane will be

$\rm BC = \dfrac{12849.4}{\cos 24}\\\\\\BC = 14065.5 \ ft$

Then the height of the plane from the ground will be

$\rm H = 12849.4 \times \tan 24 \\\\\\H = 5720.9 \ ft$

The figure is shown below.

More about the right-angle triangle link is given below.

brainly.com/question/3770177

#SPJ1

3 0

2 years ago

Find the equation for a parabola if the vertex is 6,9

devlian [24]

The equation for a parabola with vertex (h, k) and vertical scale factor "a" is
y = a(x -h)² + k

One parabola with vertex (6, 9) is
y = (x-6)² +9

6 0

4 years ago

- slope = 2/7 ; y-intercept = 0

Yuri [45]

Answer:

y=2/7x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept,

y=2/7x+0

y=2/7x

4 0

4 years ago