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BlackZzzverrR [31]
3 years ago
6

The heights of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20 cm and 20 cm was cut off the top of

the cherry tree, the ratio of their heights would be 3:1. How much taller is the maple tree than the cherry tree?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0
Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know: 
</span>\frac{x}{y} = \frac{5}{2}
<span>The new ratio is obtained like this:
</span>\frac{x+20}{y-20} = \frac{3}{1}.
From the above equation we get x= (y-20)\frac{3}{1} -20.
then \frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}
Solving the above equation for y we get: y=160
So x=400
So the first tree is (400-160=240) more taller than cherry tree. 
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What is the surface area of cone below Diameter AB=21 and distance from B to C =36
Vesnalui [34]

Answer:

1533.88261311522

Step-by-step explanation:

<em>Let r be the radius of the (base/circle)</em>

<em>and  L be the slant height of the cone</em>

<em>Formula ………………………………………………………………………………………………………</em>

The surface area of a cone = the (curved/lateral) surface area +  the base

                                             =\pi r^{2}\ \ \ +\ \ \ \pi Lr

=========================================

r=\frac{21}{2} =10.5

L = BC = 36

\text{surface area} =\pi \left( 10.5\right)^{2}  +\pi \times 36\times \left( 10.5\right)

                   =346.360590058275 + 1187.52202305694

                   =1533.88261311522

6 0
2 years ago
Determine the rate of change between the points (-1,-1) and (1,-1).
AVprozaik [17]

Answer:

\displaystyle m = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

*Note:

Rate of change is slope.

<u />

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-1, -1)

Point (1, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-1 + 1}{1 + 1}
  2. [Order of Operations] Simplify:                                                                        \displaystyle m = \frac{0}{2}
  3. Simplify:                                                                                                             \displaystyle m = 0
4 0
3 years ago
Two trucks leave a warehouse at the same time. One travels due east at an average speed of 50 miles per hour, and the other trav
Keith_Richards [23]

Answer:Since the vehicles are travelling in the exact opposite direction, the sum of their rates is the rate at which they are separating. 48 + 64 = 112 miles per hour of separation.

728 miles ÷ 112 miles/hour = 6.5 hours

Step-by-step explanation:

8 0
3 years ago
At the library, Newton borrows 8 books and Descartes borrows 4 books. 7 of their books are nonfiction. The rest are fiction. How
pogonyaev

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First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Total books borrowed = 8+4 = 12

No. of non - fiction books = 7

No. of fiction books = 12 -7

                                    = 5

To learn more about linear equation , refer to brainly.com/question/26310043

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Which of the following is closest 27.8×9.6
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266.8 that’s the answer hope it helps

8 0
3 years ago
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