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2 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement of 6 inch side

1 answer:

6 0

$\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=6 \end{cases}\implies A=\cfrac{6^2\sqrt{3}}{4}\implies A=9\sqrt{3}$

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Find the distance, c, between (–3, –4) and (1, 2) on the coordinate plane. Round to the nearest tenth.

Anon25 [30]

Answer
7.21
Step-by-step explanation:
Data :
(-3,-4) , (1,2)
Where
x₁ = -3 , x₂ = 1
y₁ = -4 , y₂ = 2
Formula for distance
D = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(l--3)² + (2--4)²} = √(16+36) =√52 =7.21

5 0

2 years ago

A linear function models the height of a burning candle. Candle A comes out of the mold at 211 mm and is expected to be at 187

DerKrebs [107]

Answer:

(11.4 - 22.8) / (26 - 7)

-11.4 / 19 this is the rate at which it burns - the slope

h = (-11.4/19)t + b

22.8 = (-11.4/19)7 + b

22.8 = (-79.8/19) + b

22.8 = -4.2 + b

27 = b

h = (-11.4/19)t + 27

Substitute 15 for t to determine the height of the candle.

6 0

2 years ago

4. Bobbie scores m marks in a test. <br> Georgia scores three times as many marks as Bobbie.

xxTIMURxx [149]

Marks of Bobbie = x

Then, marks of Georgia

= 3 times marks of Bobbie

= 3 times m

= 3 × m

= 3m

6 0

2 years ago

Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that

timama [110]

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

$H-0: x bar = 24\\H_a: x bar \neq 24$

(two tailed test at 5% level of significance)

mean 25

sd 3.142857143

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.

4 0

3 years ago

The owner of a music store received a shipment of 1,532 CDs. The CDS came in 37 boxes. The same number of CDS were in 36 of the

aleksandr82 [10.1K]

1532 ÷ 36 = 42 and remain 20.
So there were 20 CDS in the remains box

8 0

2 years ago