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vladimir1956 [14]
3 years ago
9

A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The f

ly will be 12 feet high and 16 feet wide. The scouts are building the frame for the fly with two poles slanted and joined together at the top of the tent.

Mathematics
1 answer:
pshichka [43]3 years ago
7 0
The image for this is attached for reference. This problem can be used by the Pythagorean equation.  To make solving convenient, let us see only one part of the tent. Hence, one side is half of the tend width which is 16/2ft. Height is 12 ft. The unknown side is the hypotenuse. The answer is: 
a^{2} + b^{2}  = c^{2}    8^{2} + 12^{2}  = c^{2}   c = 14.4

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Solve for x in the picture please
Nutka1998 [239]

Answer: x=1

Step-by-step explanation:

In order to find the value of "x", it is important to remember that:

Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)

 We can identify in the figure that:

Tangent\ chord\ angle=(43x)\°\\\\Intercepted\ arc=AB

Then:

43x=\frac{1}{2}AB

Solving for AB:

2(43x)=AB\\\\AB=86x

Now, since there are 360° in a circle, we know that:

AB+(272x+2)=360

Then we can substitute AB=86x into AB+(272x+2)=360\° and solve for "x". This is:

(86x)+(272x+2)=360\\\\358x=360-2\\\\x=\frac{358}{358}\\\\x=1

8 0
3 years ago
Can someone please help me with this ​
Readme [11.4K]

Answer:

7) 28.8 in

8) 80.6 mm

9) 68.3 cm

(All answers to the nearest tenth)

Step-by-step explanation:

7) The traingle is a right-angled triangle since the 4 angles of a rectangle are right angles.

Applying Pythagoras' Theorem,

x²= 16² +24²

x²= 832

x= √832

x= 28.8 in (nearest tenth)

8) Applying Pythagoras' Theorem,

x² +40²= 90²

x²= 8100 -1600

x²= 6500

x= 80.6 mm (nearest tenth)

9) See the attached picture for better understanding.

1st picture shows the simplified diagram of the question, indicating where line x lies in the rectangular prism.

Now, if we cut the prism into half diagonally so that we obtain 2 equal triangular prism, we would obtain 2 prisms that look like the one drawn in picture 2.

Now zoom in to the blue face of the prism, we would get a triangle as shown in picture 3.

Let's find the value of y.

Applying Pythagoras' Theorem,

y²= 40² +54²

y²= 4516

y= √4516

Look at picture 2 again at focus at the pink shaded triangle. It has been re-drawn in picture 4.

Now we know that y= √4516.

Applying Pythagoras' Theorem,

x²= (√4515)² +12²

x²= 4660

x= √4660

x= 68.3 cm (nearest tenth)

3 0
2 years ago
Write an expression to representi<br> Six more than the quotient of four and a number .
faltersainse [42]
There is black white pants in my room
6 0
3 years ago
Can you guys help me!!!
Gnesinka [82]

I cant see the question, id help if i could

7 0
2 years ago
(6 1/3-1/6x 36=?<br> 221/6<br> 216<br> 222<br> 242
scoundrel [369]

Answer:

<em>-(6 1/3-1/6x 36=216</em>

Hope I helped

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2 years ago
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