Calculate the hypotenuse. Find the missing side of each triangle, leave your answers in simplest radical form.

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

Answer:

3.6

Step-by-step explanation:

if 0.45 is 1 pound then you could do 8 x 0.45 because the baby is 8 pounds

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

Answer:

67 cents

Step-by-step explanation:

Answer:

67 cents

Step-by-step explanation:

im smart

Answer:

Step-by-step explanation: You have to add the number

420

+77

497

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

Answer:

Step-by-step explanation:

In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.

Answer:

Step-by-step explanation:

2 plus 2 is four (4)

Answer:

-1...................

Step-by-step explanation:

x+3-x-4

o-1

-1

Answer :

-1

Explanation:

please mark me brainliest and follow me my friend.

Answer:

0.06

Step-by-step explanation:

hope that helps :))

Answer:

D and F

Step-by-step explanation:

Numbers such as 0,1,2,3 etc are Whole numbers

Answer:

Your answer is D and F

Step-by-step explanation:

because only 951 and 3 are the numbers with no points and whole numbers require this..

HOPE THIS HELPS YOU

PLS MARK AS BRAINLIEST

Answer:

CD=8

Step-by-step explanation:

CD=1/2 of ZX

1/2 of 16= 8

Hope this helps!

Please mark me brainliest if you can. :)

Answer:

the other sides are 6 and 3√3

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Right Triangle

We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.

The triangle is shown in the figure attached.

The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:

[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]

Since:

[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]

[tex]\displaystyle y=3\sqrt{3}[/tex]

Now applying the sine to find the hypotenuse x:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]

x = 6

2/3 is the correct answer

Answer:

4.6???

Step-by-step explanation:

Answer: 4.6

(2.3)2

2.3+2.3 = 4.6

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

Answer:

I'm not sure but y=1 may be the answer

Answer: (0,1)

Step-by-step explanation:

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

Answer:

96

Step-by-step explanation:

12 times 4 gets you 48

48 times 2 gets you 96

Answer:

Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

Answer:

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

Answer:

its .   B

Step-by-step explanation:

becuse i took the test -x-

hoped it helped

Answer:

The answer to the question provided is

[tex] \frac{9}{5} [/tex]

Answer:

1:3

Step-by-step explanation:

2:6 common multiple is 2 so 2:6 divide by 2 is 1:3

Answer:

1:3

Step-by-step explanation:

this is the answer understand