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3 years ago

(ugsygygsgag I’m struggling) Find the value of x in the isosceles triangle shown below

Mathematics

1 answer:

mixer [17]3 years ago

8 0

Answer:

Option B. x = 13

Step-by-step explanation:

In this question, we shall give a separate diagram which will help us to further understand the question.

Please see attached photo for further details.

To find the value of x we shall use the pythagoras theory as illustrated below:

x is the longest side Therefore,

x² = 12² + 5²

x² = 144 + 25

x² = 169

Take the square root of both side

x = √169

x = 13

Therefore, the value of x 13.

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Answer:

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Step-by-step explanation:

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3 years ago

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The gross domestic product (in billions of dollars) can be approximated by p(t)equals564 plus t left parenthesis 36 t supersc

nirvana33 [79]

We have been given gross domestic product (in billions of dollars) can be approximated by $P(t)=564+t(36t^{0.6}-101)$ .

(a) In this part, we need to compute the derivative of this function:

$P'(t)=\frac{d}{dt}(564+t(36t^{0.6}-103))\\P'(t)=\frac{d}{dt}(564)+\frac{d}{dt}(t(36t^{0.6}-103))\\P'(t)=0+57.6t^{0.6}-103\\$

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(b) In this part, we need to find the value of P'(45). So, we will substitute t=45

$P'(45)=57.6(45)^{0.6}-103\\P'(45)=565.3924-103\\P'(45)=462.39$ Billion dollars per year.

(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.

4 0

3 years ago

Evaluate n+13 for n=24

OleMash [197]

Answer: 37

Step-by-step explanation:

if n=24

n+13 becomes 24+13

24+13 = 37

8 0

3 years ago

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and radius of the base is

ki77a [65]

Answer:

$CSA = 660cm^2$ --- Curved Surface Area

$TSA = 968cm^2$ --- Total Surface Area

Step-by-step explanation:

Given

Shape: Cylinder

$h = 15$ -- height

$r = 7$ --- radius

Solving (a): The curved surface area (CSA)

This is calculated as:

$CSA = 2\pi rh$

This gives:

$CSA = 2 * \frac{22}{7} * 7 * 15$

$CSA = 2 * 22* 15$

$CSA = 660cm^2$

Solving (b): The total surface area (TSA)

This is calculated as:

$TSA = 2\pi r(h + r)$

This gives:

$TSA = 2 * \frac{22}{7} * 7 * (15 + 7)$

$TSA = 2 * 22 * (15 + 7)$

$TSA = 2 * 22 * 22$

$TSA = 968cm^2$

3 0

3 years ago

Find the solution of this system of equations.

Tems11 [23]

Answer: $x=-21, y=-33$

$x-y=12,\\18x-12y=18 ( divide by 6)\\3x-2y=3, 2nd Eq.\\multiply- first -equation by 2\\\\2x-2y=24, 1st Eq.\\subtract-the- second -equation- from -first\\2x-3x=24-3,\\-x=21 or x=-21,\\\\substitute-the-value-of -x\\-21-y=12,\\y=-21-12= -33\\$

Step-by-step explanation:

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3 years ago