Which of the following shapes describes the 2d figure formed by slicing parallel to the base of a triangular prism
a. rectangle
b. triangle
c. square.
d.trapizoid

Answer:

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Then that means diagonal DF = DA + FA

= 5 + 16

= 21cm

Step-by-step explanation:

The value of the other diagonal DF is 21.66 cm.

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.

Given:

The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.

EG= 24 cm.

As, Diagonal ED divides the diagonal DF into two equal parts.

Now, Using  Pythagoras theorem in triangle DOG

x²/4 + y² = 13²= 169

and, Using  Pythagoras theorem in triangle EOD

x²/4 + (24 -y)² = 20²= 169

x²/4 + 576  -48y+ 169 - x²/4 = 400

-48y= -345

y= 7.1785

now, y²= 169 - x²/4

51. 6601 = 169 - x²/4

x/2 = 10.83

x = 21.66 cm

Thus, the other diagonal DF is 21.66 cm.

Learn more about kite shape here:

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Answer:

24.59

Step-by-step explanation:

Answer:

$136

Step-by-step explanation:

x = per hour

y = total profit

4 + 4 = 8

Equation:

y = 18x - 8

y = 18(8) - 8

y = 144 - 8

y = 136

To find the volume we use an equation:

volume = length x width x height

Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.

So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.

volume = 4.5 x 4.5 x 4.5

Which will get you an answer of 91.125 inches cubed

[tex]91.125in^{3}[/tex]

Hope this helps :)

Answer: 4(9y-4)

Step-by-step explanation:

36y - 16

4 x 9 is 36

4(9 is just like 36y.

Answer:

y = 5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, then

y = 5x + c ← is the partial equation

To find c substitute (1, 9) into the partial equation

9 = 5 + c ⇒ c = 9 - 5 = 4

y = 5x + 4 ← equation of line

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

18 - 2n2  We are gonna be evaluating

Step 2

18 - 2n^2  Substitute n for 3

18-2(3^2)

Step 3

18-2(3^2)  simplify

0

So therefore, your answer is 0

Hope this helps

Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

Answer:

675esa  espuesatr

Step-by-step explanation:

Answer:

147 cats

Step-by-step explanation

There are 3 dogs/ 7 cats

3x + 7x = 210

10x = 210

210 ÷ 10 = 21

Therefore,

x = 21.

dogs would be 3x (3 x 21) = 63

cats would be 7x (7 x 21) = 147

Answer:

16

Step-by-step explanation:

x/12=5/3-1/3

x/12=4/3

3x=12×4

3x=48

x=16

Answer is in the picture attached

Answer:

[tex]\sqrt{90}[/tex]

Step-by-step explanation:

Please see the attached image. Using the coordinates of two points, you can find the distance between them using this formula.

[tex]d=\sqrt{(-2-7)^{2}+(-1-(-4)^{2} } =\sqrt{(-9)^{2} +3^{2} } =\sqrt{81+9} =\sqrt{90}[/tex]

Answer:

sorry :( I need points :((((((

Answer:

6.2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]x^{2} +12^{2} = 13^{2} \\ x^{2} =13^{2} -12^{2} \\ x^{2} =169-144\\ x^{2} =25\\ \sqrt{x^{2} } =\sqrt{25} \\ x=5[/tex]

Answer:

This looks hard.

Step-by-step explanation:

I know because it is very hard.

Answer:

B) 2/3

Step-by-step explanation:

Answer:

it's 6

Step-by-step explanation:

3 * 2 is 6

hope I get brainiest

Answer:

7 and 8

Step-by-step explanation:

1/2(x) > 3

1/2(x) = 3

x = 6

x>6

x=7, x=8

Answer:

20°

Step-by-step explanation:

for alternate angles

Answer:

angle x= 20°

I hope it's helps you

Step-by-step explanation:

What is the Percentage?

percentage, a relative value indicating the hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to a decimal number by dividing by 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for the year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Hope I Helped!

Answer:

1)

a = 117°

c = 117°

d = 63°

2)

c = 87°

3)

a = 60°

b = 30°

Answer:

6 + (t x 2) = 33

T = Ticket Cost

6 - 6 + (t x 2) = 33 - 6

t x 2 = 27

t x 2/2 = 27/2

t = 13.5

Each ticket cost 13.50$

-20

Explanation:

( − 7   ^ 2  −  4 )  +  ( − 7   ^ 2  −  6  − 2 )

Eliminate the redundant parentheses, subtract the numbers which will get you, combine like terms, rearrange terms, then your solution is:

− 1 4 2 −6 −6

Figure that problem out then you will get -20.

Answer:

−14x^2 − 6x - 6

Step-by-step explanation:

(−7x 2 −4)+(−7x 2 −6x−2) should be written as (−7x^2 −4) + (−7x^2 −6x−2).  The " ^ " symbol denotes exponentiation.  7x^2 means "7 times the square of x."  We can immediately remove the parentheses, obtaining:

−7x^2 −4 −7x^2 − 6x − 2

Our next step is to combine like terms.  For example, -7x^2 appears twice, with the same (negative) sign; summing these up results in -14x^2.

Immediately after doing that, we have:

−14x^2 −4 − 6x − 2

and need to combine the constants -4 and -2:

−14x^2 −6 − 6x

Finally, we write these terms in descending powers of x:

−14x^2 − 6x - 6

Answer: 6 v − 16

Step-by-step explanation:

Answer:

120 m^3

Step-by-step explanation:

v=[1/2(b1+b2)h] L

v= [1/2 (6+10)5]3

v=[1/2(16)5]3

v= (8*5)3

v=40*3

v=120 m^3

Answer:

440 square miles would be the answer :)

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

if each square is equal to 1

The slope has to be 3.

you can see it, because between those 2 point you can count 3 spaces in y-vertex, and 1 space in x-vertex

what that means is that we will move 3 steps up (or down) for each 1 space in x-vertex.

you can see it just right there on the graph

Answer:

0

Step-by-step explanation: