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frez [133]
3 years ago
9

The Smiths want to replace the stairway that leads from their porch to their sidewalk with a ramp. The porch is 3 feet off the g

round. They decide to start the ramp 12 feet away from the base of the porch to make it convenient to walk up.
Mathematics
2 answers:
DaniilM [7]3 years ago
4 0
Normally  you need   1  foot   run per 1 inch rise  so to rise   36"  you need a   36  foot ramp.   If you  want to start the  ramp  12 feet from the   porch you will  need to  do a switch back  -- that is,  zig  zag the ramp so as to get 36 feet in  length.
maks197457 [2]3 years ago
4 0

a²+b²=c²

3²+12²=c²

3²=9

12²=144

√153

12.36931688 or 12.4

hope this helps

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(?,7) is on the line y=2x+5 y = 2 x + 5 . Find the other half of the coordinate.
Feliz [49]
7 = 2x + 5
7 - 5 = 2x
2 = 2x 
x = 1   ← <span>the other half of the coordinate</span>

5 0
3 years ago
When the​ women's soccer team won the state​ championship, the parent boosters welcomed the team back to school with a balloon b
slega [8]

Answer:

3 foil, 6 latex

Step-by-step explanation:

First, you can put all of these words words into equations. We know there are 162 ballons (18 players)(9 bouquets). So we can put it in the equation

x + y = 162

Since each foil balloon costs $1.92 and each Latex balloon costs $.19 and they all cost $124.20. We can put it in an equation:

.19x + 1.92y = 124.20

You then get the systems of equations:

x + y = 162

.19x + 1.92y = 124.20

solving for the equation, you get x = 54 and y = 108. BUT, you have to be careful. The problem said "How many of each type of balloon did each <em>bouquet</em>​ include?" So we need to divide both by 18 for the player because each player recieved on bouquet.

4 0
3 years ago
What is the answer for this question?
Len [333]
The correct answer is D
4 0
4 years ago
Read 2 more answers
ich expressions are equivalent? Select Equivalent or Not equivalent for each pair of expressions. Equivalent Not equivalent 3(a+
kodGreya [7K]

3(a + b) and 3a + b - NOT EQUIVALENT because

3(a + b) = 3a + 3b

<em>used distributive property a(b + c) = ab + ac</em>

4(x + 2y) and 8y + 4x - EQUIVALENT because

4(x + 2y) = (4)(x) + (4)(2y) = 4x + 8y = 8y + 4x

<em>used distributive property a(b + c) = ab + ac</em>

<em>and commutative property a + b = b + a</em>

8 0
3 years ago
Read 2 more answers
Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^2)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0
3 years ago
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