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3 years ago

Solve for side AB. Show all your work Please help!

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

Given triangle is a right angle triangle so we are allowed to use trigonometric formulas.

We want to find Hypotenuse using angle A and base 7 cm

so right choice is to use cosine

$\cos(A)=\frac{AC}{AB}$

$\cos(25^{\circ})=\frac{7}{AB}$

$0.90631=\frac{7}{AB}$

$AB=\frac{7}{0.90631}$

$AB=7.72362657369$

Hence value of side AB is approx 7.72 cm.

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Solve the following logarithmic equations.<br> 5 log(x + 4) = 10

Ede4ka [16]

Answer:

$x=e^{2} -4$

Step-by-step explanation:

Divide both sides by 5:

$log(x+4)=\frac{10}{5} \\log(x+4)=2$

Cancel logarithms by taking exp of both sides:

$e^{log(x+4)}=e^{2} \\x+4=e^{2}$

Solve for x subtracting 4 from both sides:

$x=e^{2} -4$

6 0

3 years ago

The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the proba

Nonamiya [84]

Answer:

$P(Y=0) = 0.1353$

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean $\=x = 5 miles$

Distance $d=10miles$

Generally the equation for Exponential distribution is mathematically given by

$\lambda=\frac{1}{E(X)}$

$\lambda=\frac{1}{5}$

Therefore

Possion Y

$10\lambda=10*(1/5)$

$10\lambda=2$

Generally the equation for The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

$P(Y=0) = \frac{e-2 (2)0}{0!}$

$P(Y=0) = e-2$

$P(Y=0) = 0.1353$

7 0

3 years ago

Colleen is searching for online air tickets to weeks ago the cost to fly from Orlando to Denver was $300 now the cost is $375 wh

rodikova [14]

Answer:

7.69% (round if need be)

Step-by-step explanation:

325. 25 times 13 is 325. 12/13 represents the original 300. 1/13 represents the decimal that changed. Multiply by 100 to get the percentage

3 0

3 years ago

A cylinder has a base radius of 3m and a height of 20m. What is its volume in cubic m, to the nearest tenths place ?

Gekata [30.6K]

Answer:

are we in that same class like...

-jk-

it should be 565.5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which of the following best describes the graph below?

hammer [34]

Answer:

Option C

Step-by-step explanation:

A function is said to be one-to-one if every y value has exactly one matching x value that is mapped onto it.

A function is said to be many-to-one if the function includes y values that have more than one matching x value mapped onto them.

From the graph, we can see that the function has assymptotes as the curves are approaching the axis.

Now, it's not every value of y that has a value of x mapped on to it because at say y - value of 0.2, there is no corresponding x-value.

Also, from the graph, we can see that the y-values that have a corresponding x-value don't have more than one x value mapped onto them.

Thus, the function is neither a one-to-one function or many-to-one function.

But it is a rational function since it has a graph even though it is with assymptotes.

Thus,the correct answer is option C: It is a function but it is not one-to-one.

5 0

3 years ago