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3 years ago

The diagram shows a convex polygon solve for b

Mathematics

1 answer:

ladessa [460]3 years ago

7 0

Answer:

b = 68°

Step-by-step explanation:

he's your solution

=> angle of a polygon is given by =

(2n -4)*90°

=>(2*8 - 4) *90°

=> 12*90°

=> sum of all angles = 1080°

=> now, 150°+144°+127°+2b+b+50°+2b+11°+2b-20°+2b+6° = 1080°

=> 9b + 468° = 1080°

=> 9b = 612°

=> b= 612°/9

=> 68°

hope it helps

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the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth o

Blababa [14]

Answer:

8.5 inches

Step-by-step explanation:

First let's find the time t when the depth of the snow is 7 inches.

To do this, we just need to use the value of D = 7 then find the value of t:

$7 = 1.5t + 4$

$1.5t = 3$

$t = 2\ hours$

We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:

$D = 1.5*3 + 4$

$D = 4.5 + 4 = 8.5\ inches$

The depth of snow one hour from now will be 8.5 inches.

7 0

3 years ago

The surface area of the cone is 43.75pie cm^2. What is the slant height of the cone and the diameter is 5

Masteriza [31]

If the diameter of the cone is 5, then the radius of it will be half that, or 2.5, thus

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
------\\
SA=43.75\pi \\
r=2.5
\end{cases}
\\\\\\
43.75\pi =\pi (2.5)\sqrt{r^2+h^2}+\pi (2.5)^2
\\\\\\
43.75\pi -\pi (2.5)^2=2.5\pi \sqrt{r^2+h^2}
\\\\\\
43.75\pi -6.25\pi =2.5\pi \sqrt{r^2+h^2}\implies 37.5\pi =2.5\pi \sqrt{r^2+h^2}
\\\\\\
\cfrac{37.5\pi }{2.5\pi }=\sqrt{r^2+h^2}\implies 15=\sqrt{r^2+h^2}$

3 0

4 years ago

Let f(x)=x-1,h(x)=-x+4. Find (f o h)(4). (f o h)(4)=

bagirrra123 [75]

Answer:

-1

Step-by-step explanation:

(f⚬h)(4) = f(h(4)) = f(-4+4) = f(0)

f(0) = 0-1 = -1

(f⚬h)(4) = -1

5 0

3 years ago

Please help asap will give brainliest!!

Anit [1.1K]

Answer:

802

Step-by-step explanation:

802

6 0

3 years ago

Helppp please.

Sati [7]

The solution
m = s + 5
m - 4 = (3s) - 3 
(s + 5) - 4 = 3s - 3 
s + 1 = 3s - 3 
s = 3s - 4 
-2s = -4 
s = 2 
m = 7 
Check this: 

m - 4 = 3s - 3 
7 - 4 = 3(2) - 3 
3 = 6 - 3 
3 = 3 

So Sandy is 2 and Megan is 7.

5 0

3 years ago