1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VashaNatasha [74]
4 years ago
8

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin

e tree is 2121 meters. The height of 44 fir trees stacked on top of each other is 2424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered? Each fir tree is meters tall and each pine tree is meters tall.
Mathematics
1 answer:
Maru [420]4 years ago
5 0

Answer:

Fir trees are 9 meters and the pine trees are 12 meters tall.

Step-by-step explanation:

Let the height of the fir tree = x and the height of the pine tree = y (in meters).

It is given that the combined height of both the trees is 21 meters.

That is, x+y=21

Also, the height of 4 fir trees is 24 meters more than that of the pine tree.

That is, 4x=y+24 i.e. 4x-y=24

So, we get the system of equations,

x+y=21

4x-y=24

Adding both the equations, gives us,

5x = 45 i.e. x=  9.

So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.

Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.

You might be interested in
What is the base of -(-2^2)?
Inessa05 [86]

the base is -2 i think that is the answer

4 0
2 years ago
A Subway sandwich costs $5.56. The same sand which has 453 calories. a.
Elodia [21]
$5.56/ 453 calories= $0.01227/calorie.

Rounded to the nearest thousandth, the final answer is $0.012/calorie~
3 0
3 years ago
PLEASE HELP ASAP ! WILL GIVE BRAINLIEST Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of a
finlep [7]

Answer:

The measure of angle P is 43°

Step-by-step explanation:

If a quadrilateral is inscribed inside a circle, the sum of opposite angles are always equal to 180 degrees.

The angle POR is opposite to the angle PQR, and the angle OPQ is opposite to the angle ORQ.

So we have that:

mOPQ + mORQ = 180°

y + 3y + 8 = 180

4y = 172

y = 43°

So the measure of angle P is 43°.

6 0
3 years ago
Let $f(x)$ be a quadratic polynomial such that $f(-4) = -22,$ $f(-1)=2$, and $f(2)=-1.$ Let $g(x) = f(x)^{16}.$ Find the sum of
Murrr4er [49]

Answer:

The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is  -4273411167.501

Step-by-step explanation:

The parameters given are;

f(-4) = -22

f(-1) = 2

f(2) = -1

g(x) = f(x)¹⁶

The function f(x) is presented as follows;

f(x) = a·x² + b·x +c

We have;

-22 = a·(-4)² + b·(-4) +c

-22 = a·16 - 4·b +c ..............(1)

2 = a·(-1)² + b·(-1) +c

2 = a - b +c...........................(2)

-1 = a·(2)² + b·(2) +c

-1 = 4·a + 2·b +c...................(3)

Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;

a = -1.5, b = 0.5, c = 4

Therefore, f(x) = -1.5·x² + 0.5·x + 4

f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;

656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.

3 0
3 years ago
What cross section results when you cut a cylinder perpendicular to its base?
wariber [46]

The cross section that results, is a triangle.

Step-by-step explanation:

Cross section is a shape that forms when a slice or a cut  is made through a solid.

A solid can have multiple cross sections depending on where you slice the solid.

Cross section perpendicular to the base of a solid will result in triangles.Cross sections parallel to the base of the solid will result in hexagons and so on.

Cross section help in representing three dimension objects in a two dimension way.

3 0
3 years ago
Other questions:
  • Complete the square on the following quadratic x^2+18x+7=0 what value is added to both sides of the equation.
    5·1 answer
  • What is the solution for (x −2)(x + 5) = 18
    12·1 answer
  • Explain how multiplying with 6 is like multiplying with 3.
    15·2 answers
  • What is 60% of 500??
    12·1 answer
  • 7⋅(−4)⋅(−6)<br> a. −168<br> b. −3<br> c. 17<br> d. 168
    10·1 answer
  • Raina purchased a prepaid phone card for $25. Long distance calls cost 7 cents a minute using this card. Raina used her card onl
    7·1 answer
  • 1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in
    15·1 answer
  • Javed is building a birdhouse in the shape of a triangular pyramid. He drew the net for his birdhouse and labeled the dimensions
    9·1 answer
  • Slope=1;y-intercept=-4<br> step by step help?
    11·1 answer
  • What is greater-3/5 or -0.35
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!