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2 years ago

What is the answer to this question out of the options given

Mathematics

1 answer:

Aleksandr [31]2 years ago

7 0

Answer:

Step-by-step explanation:

Side ratios of "special triangles" are used to solve this problem.

30-60-90° triangle — 1 : √3 : 2

45-45-90° triangle — 1 : 1 : √2

<h3>Application</h3>

We need to apply these ratios a few times:

CD : CE = √3 : 2 ⇒ CE = (7√3)(2/√3) = 14

CE : BE = 1 : √2 ⇒ BE = 14(√2) = 14√2

BE : AE = √3 : 2 ⇒ AE = (14√2)(2/√3) = (28√2)/√3

The fraction can be simplified by multiplying by (√3)/(√3):

((28√2)/√3)×(√3)/(√3) = (28√6)/3

AE = (28/3)√6

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A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height

Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

$y(t)=43t-23t^{2}$

B) Instantaneous Velocity at t = 1

$y(1) = 43(1)-23(1)^2 = 20$

A) Formula:

Average velocity =

$\displaystyle\frac{\text{Displacement}}{\text{Time}}$

1) 0.01

$y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}$

2) 0.005 s

$y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}$

3) 0.002 s

$y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}$

4) 0.001 s

$y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}$

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3 years ago

Based on the picture below. find the angle measure for lmn.

trasher [3.6K]

Answer:

Step-by-step explanation:

4x + 2x = 90

6x = 90

x = 15

4(15)= 60 for <LMN

2(15)= 30

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3 years ago

Find the area for a trapezoid 9.85 m 15 m 11 m 9 m

igor_vitrenko [27]

Answer:

total area = 99m² + 39.4m²

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2 years ago

Learning Task 1: Read and analyze each problem carefully. Write your final answer in your notebook based on the given questions

solmaris [256]

Solving the given problems using the appropriate arithmetic operation such as multiplication, divison and addition, the answers are :

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2.)

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3.)

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Hence,

$\frac{1}{2} \times m = 980$

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$m = 980 \times 2 = 1960$

Therefore, Joel's monthly salary is $1960

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2 years ago

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Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 5 or a queen?

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A 5 or a queen

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each card repeats 4 times

a 5 or a queen
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4+4=8

probablity=desiredoutcomes/totalpossible
probablity=8/52
probablity=4/26
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