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2 years ago

A reaction takes 4 min 28 sec to complete. Which of the following is a correct representation of that time period?

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

7 0

Using proportions, the correct representation of that time period is of 4.47 minutes.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

We have that one minute has 60 seconds, hence the proportion that the 28 seconds correspond of a minute is:

28/60 = 0.47 min.

Hence the correct representation of that time period is of 4.47 minutes.

More can be learned about proportions at brainly.com/question/24372153

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

<u>Given</u>:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

<u>Length of AD:</u>

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

<u>Slant height:</u>

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

<u>Surface area of the square pyramid:</u>

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

7 0

3 years ago

Read 2 more answers

Keiko started a race at 6:44 PM and finished it at 7:13 PM.

KiRa [710]

Answer

29 minutes

Step-by-step explanation:

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3 years ago

25 lb greater or less than 384 oz

NeTakaya

25 lbs would be greater than 384 oz because 384 divided by 16 (because 16 oz per lb) =24lbs
so 25lbs > 384 oz

7 0

3 years ago

A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.

Sonja [21]

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

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2 years ago

Find the area of a square park whose perimeter is 400m

PIT_PIT [208]

Answer: 1600m^2

Its a square so all sides are equal. So...

400m * 400m

= 1600m^2

8 0

2 years ago