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irina1246
2 months ago
10

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measu

res correspond to the length to the laddder? Round to the nearest hundredth

Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
6 0
20.40 ft^{2}

Depicted is a right triangle formed by the ladder, the wall, and the ground (see image). The provided measurements correspond to the two legs of this triangle, while the missing length is the hypotenuse. The Pythagorean theorem is used to find this missing side: a^{2} +  b^{2} =  c^{2}

Given values:
A = 20
B = 4
C = ?

The calculation is illustrated in the attached image. The length of the ladder (the missing side), rounded to two decimal places, is 20.40ft^{2}

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Write a difference quotient that best approximates the instantaneous rate of change of g at x=0
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Step-by-step explanation:

The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).

m = (2.001 − 1.999) / (0.001 − (-0.001))

m = 1

7 0
2 months ago
A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can
PIT_PIT [12445]

Part a) When a page is scaled down to 80%, how much enlargement is necessary to bring it back to its original size?

Let

x---------> the percent enlargement

Given the original size is 100%

This means:

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

Thus,

The answer to Part a) is

The percent enlargement required is 125%

Part b) Estimate how many successive copies of a page are needed to make the final copy less than 15% of its original size.

Since the photocopy machine reduces sizes to 80% of the original

Therefore:

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

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Copy N 6

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Copy N 7

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Copy N 8

0.80*20.97%=16.78%

Copy N 9

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The necessary number of copies to achieve this is 9


6 0
1 month ago
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
tester [12383]

Respuesta:

Leslie determinó que el siguiente sistema de ecuaciones tiene infinitas soluciones. ¿Está en lo correcto?

x=4y-4

2x-8y=-24

A. Sí, Leslie está en lo correcto.

B. No, la solución es (-8,-24)

C. No, la solución es (0,-16)

D. No, el sistema de ecuaciones no tiene solución.

Explicación paso a paso:

debes resolverlo como un par de ecuaciones simultáneas y no hay soluciones

si necesitas una explicación más detallada, vuelve a publicar la pregunta y lo haré con gusto

por favor márcalo como el más útil


6 0
1 month ago
Read 2 more answers
Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to
Leona [12618]

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

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Thus, the geometric growth rate is 3.5486725664.

The area they will occupy in hectares after one more year = Current area × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

Approximately equal to 14.2

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Let’s tackle the problem. We know the formula for <span>the height of the ball is as follows:

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26 days ago
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