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sammy [17]
3 years ago
10

3) What is the SURFACE AREA of the solid with the given measurements? Square Pyramid base edge 4 cm, slant height 11 cm​

Mathematics
1 answer:
atroni [7]3 years ago
4 0

Answer:

Step-by-step explanation:

height h = 11 cm

slant height s = 11.180339887499 cm

side length a = 4 cm

lateral edge length e = 11.357816691601 cm

1/2 side length r = 2 cm

volume V = 58.666666666667 cm3

lateral surface area L = 89.442719099992 cm2

base surface area B = 16 cm2

total surface area A = 105.44271909999 cm2

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!!HURRY IM BEING TIMED 40PTS!!
Rudik [331]

The average rate of change in a function from a to b is

\frac{f(b)-f(a)}{b-a}.


For the left function, from x = 4 to x = 5, the rate of change is


\frac{100-64}{5-4} = \frac{36}{1} = 36.


For the right function, the rate of change is


\frac{1024-256}{5-4} = \frac{768}{1} = 768


Using a ratio to compare the right function's growth rate with that of the left function, you get 768 \div 36 \approx 21.3.


The right function is growing approximately 21 times faster than the left function (over the interval from 4 to 5).

3 0
3 years ago
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The two triangles are similar.<br><br> What is the value of x?
rusak2 [61]
Check the picture below.

8 0
3 years ago
1. For the function f(x) = 3x + 1, find f(-2). (substitute -2 in for x)
puteri [66]

Answer:

f(-2) = -5

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>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

f(-2) is x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(-2) = 3(-2) + 1
  2. Multiply:                               f(-2) = -6 + 1
  3. Add:                                     f(-2) = -5
4 0
2 years ago
7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4.
bagirrra123 [75]

The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4

Hence,

perpendicular lines follows the rule below:

m₁m₂ = -1

Hence,

5x - 3y = 4

5x - 4 = 3y

y = 5/ 3 x - 4 / 3

m₁ = 5 / 3

5/3 m₂ = -1

m₂ = - 3 / 5

Hence,

using (-4, 5)

5 = - 3 / 5 (-4) + b

5 = 12 / 5 + b

b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5

Therefore,

y = -3 / 5 x + 13 / 5

learn more on equation of a line here: brainly.com/question/10727767

#SPJ1

6 0
1 year ago
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Name a number that has the same absolute value as 23
IRINA_888 [86]

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

6 0
2 years ago
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