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3 years ago

52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

9514 1404 393

Answer:

32.5 ft

Step-by-step explanation:

The length of the side opposite the given angle is found using the sine relation:

Sin = Opposite/Hypotenuse

height on building = (33 ft)·sin(80°) ≈ 32.5 ft

The ladder reaches about 32.5 feet up the side of the building.

_____

<em>Additional comment</em>

The maximum angle compliant with OSHA safety rules is 75.5°.

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Is this right or wrong ?

Otrada [13]

Answer:

$(3x - 2)(4x + 6) = 12 {x}^{2} + 18x - 8x + - 12 \\ = 12 {x}^{2} + 10x - 12$

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3 years ago

The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re

PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic clarithromycin is eliminated from the body according to the formula:

$A(t) = 500e^{-0.1386t}$ ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

$100= 500e^{-0.1386t}$

Divide both sides by 500 we get;

$\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}$

Simplify:

$\frac{1}{5} = e^{-0.1386t}$

Taking logarithm both sides with base e, then we have;

$\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})$

$\log_e (\frac{1}{5})=-0.1386t$ [ Using $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[using value of $\log_e (0.2) = -1.6094379124341$ ]

then;

$t = \frac{-1.6094379124341}{-0.1386}$

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams

6 0

2 years ago

PLEASE HELP

qaws [65]

NUMBER ONE IS THE RIGHT ANGLE AND THE SECIND INE IS SUPPLEMENTARY

8 0

2 years ago

Jina had 7/8 of a spool of yarn.she used 3/4 of it for her project.What fraction of the spool was used for her project

Sophie [7]

7/8 * 3/4 = 21/32

She used 21/32 of a spool

7 0

3 years ago

The hundreds digit and the ones digit of a three digit number are the same. The sum of its tree digits are 16. If the tens digit

tensa zangetsu [6.8K]

Step-by-step explanation:

Let us denote the three digit number by $abc$ , where $a$ is the hundreds digit, $b$ is the tens digit and $c$ is the ones digit.

Hundreds digit = $a$ = Ones digit = $c$

Sum of digits = $a+b+c=16$

So, $2c+b=16$

On exchanging tens and ones digit, value increases by 45. So $acb$ is 45 greater than $abc$ .

$acb-abc=45$

$100a+10c+b-100a-10b-c=45\\9c-9b=45\\c-b=5$

$2c+b=16,c-b=5\\3c=21\\c=7=a\\b=2$

∴ Required number is 727

7 0

3 years ago