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blondinia [14]
3 years ago
9

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer:

4.80

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

{c}^{2}  =  {a}^{2}  -  {b}^{2}

=   \sqrt{ {12}^{2}  -  {11}^{2}} \\  = 4.7958... \\  = 4.8

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The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit. Please explain, thank
DanielleElmas [232]
We know that
[area of the figure]=[area of rectangle]+[area of semi circle]

area of rectangle=b*h------> 10*18-----> 180 cm²

area of semicircle=pi*r²/2
diameter=18 cm
radius=18/2----> 9 cm
area of semicircle=pi*9²/2-----> 127.17 cm²

[area of the figure]=[180]+[127.17]------> 307.17 cm²
round <span>to the nearest unit </span>------> 307 cm²

the answer is
the area of the figure is 307 cm²
3 0
3 years ago
Manson bought 8 1/4 feet of wire. He cut off a piece of wire 3 5/12 feet long and used it for his science project. How much wire
nadezda [96]

Answer:

He has 4 10/12 wire left

Step-by-step explanation:

7 0
3 years ago
I need to explain/show work.<br> Help please
Fittoniya [83]

Answer:

adult tickets = 17, children tickets = 9

Step-by-step explanation:

Let x be the number of children and y the number of adults

Then given that 26 tickets are sold, we can write

x + y = 26 → (1)

Given that ticket cost was $194 we can write

5.5x + 8.5y = 194 → (2)

Rearrange (1) expressing y in terms of x by subtracting x from both sides

y = 26 - x → (3)

Substitute y = 26 - x into (2)

5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side

5.5x + 221 - 8.5x = 194

- 3x + 221 = 194 ( subtract 221 from both sides )

- 3x = - 27 ( divide both sides by - 3 )

x = 9

Substitute x = 9 into (3) for corresponding value of y

y = 26 - 9 = 17

Hence number of adult tickets sold = 17

number of children tickets sold = 9

5 0
3 years ago
If g(x) = 5x2^2 - 10x + 9 and h(x) = -3x3^3+ 5x - 6, find g(x) - h(x)?
AnnZ [28]

Answer:

B)g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

Step-by-step explanation:

Here, the given functions are:

g(x) = 5x^2- 10x + 9 \\h(x) = -3x^3+ 5x - 6

Now, g(x) - h(x) is : 

(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6)\\= 5x^2- 10x + 9 + 3x^3 - 5x + 6\\= 3x ^3 + 5x ^2+  (-10 x - 5 x) + (9 + 6)\\= 3x^3 - 5x^2 - 15x + 15

⇒(5x^2- 10x + 9)  - ( -3x^3+ 5x - 6) =  3x^3 - 5x^2 - 15x + 15

B) Hence, g(x) - h(x) =  3x^3 - 5x^2 - 15x + 15

3 0
3 years ago
A millimetre is ______meter(s)
Dmitriy789 [7]

Answer:

1000 mm

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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