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4 years ago

Please help as soon as possible

Mathematics

1 answer:

ch4aika [34]4 years ago

8 0

To solve this problem you must apply the proccedure shown below:

You must switch the variables, and then, you must solve for $y$ , as following:

$x=-\frac{1}{2} \sqrt{y} +3\\ (x-3)^{2} = (\frac{1}{2}\sqrt{y})^{2} \\ y=4x^{2} -24x+36\\ f^{-1} (x)=4x^{2} -24x+36$

Therefore, as you can see, the answer is: $f^{-1} (x)= 4x^{2} -24x+36
$

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From Alexa's eyesight to the top of the tree has an angle of 56.789 degrees and its distance of 23.45 feet. Match the following

Marat540 [252]

Answer:

Distance between Alexa and tree = 12.844 ft

Height of tree = 19.620 + height of eyesight from ground

Perimeter of triangle formed = 55.914 ft

Step-by-step explanation:

From the given data, the attached image is drawn ( refer attachment)

Assume

Height of eye line as $h_{A}$ , height of tree as $h_{T}$ , distance of tree from Alexa as X and vertical distance between eye line and top of tree is y.

To find: distance of tree from Alexa

consider triangle ATE. Here

X = 23.45 * cos ( $56.789^{o}$ ) = 12.844 ft

y = 23.45 * sin ( $56.789^{o}$ ) = 19.620 ft

Hence distance of tree from Alexa = 12.844 ft

Height of tree $h_{T}$ = y + $h_{A}$

= 19.620 + $h_{A}$

Perimeter of triangle = X + Y + 23.45 ft

= 12.844 ft +19.620 ft + 23.45 ft

= 55.914 ft

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3 years ago

A cube has a volume of 125 cubic inches. What is the length of each edge?

Phantasy [73]

Answer:

1.95

Step-by-step explanation:

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3 years ago

The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with a standard deviation of

juin [17]

Answer:

I 90%(μ)= [69.648;71.951]

Step-by-step explanation:

The confidence interval formula is:

I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqr(n)]

alpha= is the proposition of the distribution tails that are outside the confidence interval. In this case, 10% because 100-90%

Z(5%)= is the critical value of the standardized normal distribution. In this case is 1.645

σ= standard deviation. In this case 2.8 inches

mean= 70.8 inches

n= number of observations

Then, the confidence interval (90%):

I 90%(μ)= 70.8+- [1.645*(2.8/sqr(16))

I 90%(μ)= 70.8+- [1.1515)

I 90%(μ)= [70.8-1.1515;70.8+1.1515]

I 90%(μ)= [69.6485;71.9515]

I 90%(μ)= [69.648;71.951]

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3 years ago

What is the area of a parallelogram if its length is x+4 and its height is x+3

lord [1]

Area of a parallelogram is:

$\sf A=bh$

Where 'b' is the base and 'h' is the height. Plug in what we know:

$\sf A=(x+4)(x+3)$

Distribute(multiply everything in the first parenthesis to everything in the second parenthesis):

$\sf x\times x=x^2$
$\sf x\times 3=3x$
$\sf 4\times x=4x$
$\sf 4\times 3=12$

So we have:

$\sf A=x^2+3x+4x+12$

Combine like terms(3x + 4x = 7x):

$\sf A=\boxed{\sf x^2+7x+12}$

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4 years ago

NEED HELP PLEASE ANSWER ASAP! (41)

ExtremeBDS [4]

Answer:

41. (2) x² - 3x - 4 =0

Step-by-step explanation:

Question 41

Standard form of polynomial

x² - (sum of roots) + product of roots = 0
(2) x² - 3x - 4 =0

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3 years ago

Read 2 more answers