All categories

2 years ago

11. What is the value of x in the figure at the right? (Examples 3 and 4)

Mathematics

1 answer:

natka813 [3]2 years ago

6 0

Answer:

x = 11

Step-by-step explanation:

Vertically opposite angles are equal
Angles around a point add up to 360°

Therefore, $15x + 15x + 15 + 15 = 360$

$\implies 30x+30=360$

$\implies 30x=330$

$\implies x=11$

You might be interested in

If a radioactive isotope has a half-life of 6 hours and 12 milligrams is initially present, how much will

Serhud [2]

Answer:0.75 milligrams will be present in 24 hours

Step-by-step explanation:

Step 1

The formula for radioactive decay can be written as

N(t)=No (1/2)^(t/t 1/2)

where

No= The amount of the radioactive substance at time=0=milligrams

t 1/2= the half-life= 6 hours

t=24 hours

N(t) = the amount at time t

Step 2--- Solving

N(t)=No (1/2)^(t/t 1/2)

=N(t)=12 x ( 1/2) ^ (24/6)

= 12 x (1/2) ^4

= 12 x 0.0625

= 0.75 milligrams

3 0

2 years ago

Which of these four sets of side lengths will form a right trangle?

Mrac [35]

answer:

set 4

Step-by-step explanation:

because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle

4 0

1 year ago

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

2 years ago

Anybody know this answe cause I don’t

wariber [46]

Answer:

1.875 Pounds

Step-by-step explanation:

8 0

2 years ago

Evaluate each expression for the given values of the variable.<br><br> −4√ef -4ef, where e=7 and f=7

mina [271]

$-4\sqrt{ef} -4ef$
$-4\sqrt{(7)(7)} -4(7)(7)$
$-4\sqrt{7^2} -196$
$-4(7) -196$
-28-196
-224

6 0

2 years ago