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irinina [24]
3 years ago
11

What is the solution to 72+4·x≥400

Mathematics
1 answer:
hjlf3 years ago
5 0
X>82 you have to isolate the variable by dividing each side by factors that don’t contain the variable.
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A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is
RideAnS [48]
Check the picture below.

\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi

8 0
3 years ago
two points on the same side of a tree are 65 feet apart. the angles of elevation of the top the tree are 21 19 from one point an
zloy xaker [14]
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are  21° 19' and 16°20'.

1) Convert the angles to decimal form:

19' * 1°/60' = 0.32° => 21° 19' = 21.32°

20' * 1°/60' = 0.33° => 16° 20' = 16.33°

2) Deduce the trigonometric ratios from the verbal information.

You can form a triangle with

- horizontal leg  x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h

=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)

You can form a second triangle with:

-  horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
 
=> trigonometric ratio: tan(21.32) = h / x  => h = x * tan(21.32)

Now equal the two expressions for h:

(x+65)*tan(16.33) = x*tan(21.32)

=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet

=> h = 195.73 * tan(21.32) = 76.39 feet.

Answer: 76.39 feet
5 0
3 years ago
Yarin’s gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ
inna [77]

9514 1404 393

Answer:

  $200

Step-by-step explanation:

The amount of withholding was ...

  $3500 · 9% = $315

The excess over the amount due is ...

  $315 -115 = $200

Yarin can expect a refund of $200.

3 0
3 years ago
Read 2 more answers
Let u = <-3, -5>, v = <-3, 1>. Find u + v. <-2, -8> <-8, -2> <0, -6> <-6, -4>
salantis [7]

Answer:

<-6,-4>

Step-by-step explanation:

To find u+v, all you have to do is add the corresponding components of each.

That is for example on this problem, you would do

<-3,-5>+<-3,1>

=<-3+-3,-5+1>

=<-6,-4>.

7 0
3 years ago
Alguien me ayuda??<br><br><br><br><br><br><br>lo necesito hoy :ccccc ☕​
Brrunno [24]

Answer:

no se entiende la imagen

3 0
3 years ago
Read 2 more answers
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