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2 years ago

Can someone answer this question please

Mathematics

1 answer:

Sliva [168]2 years ago

5 0

The value of x in the right angled triangle is 24 degrees.

<h3>Description of a right-angled triangle </h3>

A right angled triangle is a type of triangle that has 3 sides. One of its angles is equal to 90 degrees and the sum of angles is 180 degrees.

<h3>Determining the value of the third angle </h3>

180 - 32 - 90 = 58 degrees

<h3>Determining the value of x </h3>

The angle on a straight line is equal to 180. Thus; 180 = (5x + 2 + 58)

= 180 = 5x + 60

180 - 60 = 5x

120 = 5x

x = 24 degrees

To learn more about a triangle, please check: brainly.com/question/9329354

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

3 0

3 years ago

Find the value of x in the isosceles triangle shown below

levacccp [35]

Answer:

x=10

Step-by-step explanation:

$\frac{x}{2}=\sqrt{13^2-12^2} \\x=2\sqrt{169-144} \\x=2\sqrt{25} \\x=2 \times 5=10$

4 0

3 years ago

Is -7.245 rational or irrational

Zina [86]

Answer: Rational

Explanation: Integers are positive and negative whole numbers. However, we can also have positive and negative fractions and decimals. These positive and negative fractions and decimals are not members of the set of integers. They are rational numbers

Hope this helps!

8 0

3 years ago

A tree casts a shadow 24 feet long. a 5 foot person casts a 8 foot shadow.How tall is the tree?

ra1l [238]

(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)

24/x = 8/5

24*5 = x*8

120 = 8x

8x = 120

8x/8 = 120/8

x = 15

The tree is 15 feet tall

8 0

3 years ago

Divide of a right angle into two parts such that the number of English minutes in one to the

stira [4]

Answer:

π/3 radians, 3600 English minutes
π/6 radians, 333,333 1/3 French seconds

Step-by-step explanation:

An English minute is (1/60)(π/180) radian = π/10800 radian.

A French second is (1/100)(1/100)(π/200) radian = π/2000000 radian.

So, the ratio of angle sizes in common units will be ...

27(π/10800) : 2500(π/2000000) = (2/800) : (1/800) = 2 : 1

Since the total of these ratio units is 2+1 = 3, we need to divide the right angle into 3 parts. The English part will be 2 of those; the French part will be 1 of them. A 1/3 part of a right angle is π/6 radians, so the right angle division will be ...

English : French = π/3 radians : π/6 radians

= 3600 English minutes : 333,333 1/3 French seconds

= 27 : 2500

5 0

3 years ago