Calculate the volume of this prism
20 cm
30 cm
10 cm

Answer:

(c) The triangles are similar, so the sides are proportional:  DE = BC. Therefore, the slope of AD is the same as the slope  of AB

Step-by-step explanation:

Given

See attachment for proper format of question

Required

Why is the slope between A and D the same

From the question, we understand that:

[tex]\triangle ADE[/tex] and [tex]\triangle ABC[/tex] are similar

This implies that similar sides are proportional.

i.e.

[tex]AD \to AB[/tex]

[tex]AE \to AC[/tex]

[tex]DE \to BC[/tex]

Slope (m) is calculated as:

[tex]m = \frac{Rise}{Run}[/tex]

So, the slope of [tex]\triangle ADE[/tex] is:

[tex]m = \frac{DE}{AE}[/tex]

Slope of [tex]\triangle ABC[/tex] is:

[tex]m = \frac{BC}{AC}[/tex]

Since the triangles are similar, then:

[tex]m = m[/tex]

i.e.

[tex]\frac{DE}{AE} = \frac{BC}{AC}[/tex]

Hence, (c) is true

Answer:

As 6x+8 = 68

=> x = 10

Hope it helps

By question it's given that m || n . So here we can use the properties of parallel lines . One of them which we will use here is ,

Here the two given angles are corresponding angles hence they will be equal. We create them in order to find the value of x.

[tex]\sf\implies 68^o = 6x + 8^o \\\\\\\sf\implies6x = 68^o - 8^o\\\\\sf\implies 6x = 60^o \\\\\\\sf\implies x = 60^o/6 \\\\\\\sf\implies \boxed{\red{ \sf x = 10^o }}[/tex]

Hence the value of x is 10° .

Answer:

21/240, 22/140, 23/140, 24/140

Step-by-step explanation:

7 and 5 have a common multiple of 140 and

140/7=20  20/140

140/5=28  28/140

21-27 are all numbers b/w 20 and 28

Answer:

21/140, 22/140, 23/140, 24/140

7 and 5 = common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.

Answer: 0.40673664307

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

two equations can be derived from the question

y - 2x = 3 equation 1

y - 3x = -3 equation 2

y = number of toffees

x = number of children

subtract equation 2 from 1

x = 6

Answer:

...

Step-by-step explanation:

the first one ur correct

the second one is 12cm

Answer:

The west side is 12 cm

Step-by-step explanation:

15 kilometers divided by 5 is 3. Since every 5 kilometers is 4 cm, multiply 3 by 4 to get 12

Answer:

30ft 2

Bc we first calculate the area of rectangle which is 6x4 which is 24 then we calculate area of triangle which is 6 then 6 + 24 = 30ft squared

Answer:

300

Step-by-step explanation:

each ten is worth 10 so 10x30+ 300

plz mark brainliest

The favourite colours represent the following angles: red (90°), blue (90°),  green (135°) and yellow (45°).

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

Here you can apply the rule of three for finding the angle  of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.

400 ----------- 360°

100 ------------ r

400r=360*100

400r=36000

r=36000/400

r=90°

400 ----------- 360°

100 ------------ b

400b=360*100

400b=36000

b=36000/400

b=90°

400 ----------- 360°

150------------ g

400g=360*150

400g=54000

g=54000/400

g=135°

400 ----------- 360°

50------------ y

400y=360*50

400y=54000

y=18000/400

y=45°

Read more about the rule of three here:

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Answer:

10

Step-by-step explanation:

Correct me if I’m wrong it’s been a while but I think u add 3 + 3 + 2+ 2

Answer:

It is 10

Step-by-step explanation:

In order to do perimeter you need to add each corners value, in this case a to B is one side and A to D is another, in order to get from A to B you have to walk 3 units, so their is our first part, now for the second you need to walk from point a to point D which if you do it will be 4 units.

Now we have 2 numbers, 4 and 3, We still have the other side but it will be the same, so you will do 4+4 and 3+3, in this case it will be 8+6 so the answer should be 14. I might be wrong.

Answer:

[tex]y = 12 \tan(30 \degree ) \\ y = 6.92[/tex]

[tex]x = \frac{12}{ \cos(30 \degree) } \\ x = 13.8[/tex]

[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]

y + 35 = ( y ) + ( y - 31 )

y + 35 = 2y - 31

Add both sides 31

y + 35 + 31 = 2y - 31 + 31

y + 66 = 2y

Subtract both sides y

y - y + 66 = 2y - y

y = 66

Answer:

6, 10 and 8

Step-by-step explanation:

Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?

a6 = a5 - (a4 - 4)

0 = -2  - (14 - 4)

2 = - (a4 - 4)

-2 = a4 - 4

a4 = -2 + 4

a4 = 2

a5 = a4 - (a3 - 4)

-2 = 2  - (a3 - 4)

-2-2 = - (a3 - 4)

-4 = -(a3 - 4)

4 = a3 - 4

a3 = 4+4

a3 = 8

Also

a4 = a3 - (a2 - 4)

2 = 8 - (a2 - 4)

2-8 = - (a2 - 4)

-6 = -(a2 - 4)

6 = a2 - 4

a2 = 6+4

a2 = 10

a3 = a2 - (a1 - 4)

8 = 10 - (a1 - 4)

8-10 = - (a1 - 4)

-2 = -(a1 - 4)

2 = a1 - 4

a1 = 2+4

a1 = 6

Hence the first 3 terms are 6, 10 and 8

Answer:

C. 6, 10, 8

Step-by-step explanation:

i took the test

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

did you get the answer yet I have the same question

Answer: a. 8 feet

the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4

Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)

you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)

For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C

Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.

If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)

I hope this helped you guys!!

Answer:

The maximum pizza quantity would be with the pizza of 18 inch

Step-by-step explanation:

The size of the pizza in inches depicts its diameter.

Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch

In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.

For instance

Area of 18 inch pizza

[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch

Area of 12 inch pizza

[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch

Circumference of 18 inch pizza

[tex]2*3.14*9 = 56.52[/tex]

Circumference of 12 inch pizza

[tex]2*3.14*6 = 37.68[/tex]

Answer:

Step-by-step explanation:

The four inputs (x-coordinates) are {-2, 2, -4, 4}.  No input appears more than once.  Therefore this seet of points represents a function.

Answer:

respect the traditions and beliefs

Answer:

I don’t know the area but here’s a hint to help you (hint: length x with x height)

Step-by-step explanation:

X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Answer:

x1 = -5 and x-2 = -1

Step-by-step explanation:

hope this helps

Answer:

x = -  1, - 5

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

6÷9=0.666...

9.1÷6=1.5166..

6.1÷9=0.6777...

54 is 54

9÷6=1.5

So none are equal

Answer:

the answer is 6 × 1/9

Step-by-step explanation:

6÷ 9 = 0.666

9 × 1/6 = 1 1/2

6 × 1/9 = 2/3 same as 0.666

54 = 54

9/6 = 1.5

Answer:

[tex]\frac{3^{10} }{3^{2} }[/tex] , [tex](3*3)^{4}[/tex], [tex](3^{4})^{2}[/tex]  

Step-by-step explanation:

The expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression. which is the correct answer would be options (B), (D), and (E).

Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. To answer the exponential expressions, we may need to apply the relationship between exponents and logarithms.

As per option (B), we have

3¹⁰/3²

3¹⁰⁻²

Apply the subtraction operation in the exponent

3⁸

As per option (D), we have

(3⁴)²

3⁴ˣ²

Apply the multiplication operation in the exponent

3⁸

As per option (E), we have

(3·3)⁴

(3²)⁴

3⁴ˣ²

3⁸

Thus, the expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression.

Hence, the correct answer would be options (B), (D), and (E).

Learn more about exponential function here:

brainly.com/question/11487261

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Answer:

Volume = 21.6 ft³

Area = 58 ft²

Step-by-step explanation:

(1)

Applying,

V = lwh......................... Equation 1

Where V = Volume of the rectangular box, l = length of the box, w = width of the box, h = heigth of the box.

From the question,

Given: l = 3 ft, w = 1.2 ft, h = 6 ft.

Substitute these values into equation 1

V = 3×1.2×6

V = 21.6 ft³

(2)

Applying

A = 2(lw+lh+wh)............. Equation 2

Where A = surface area of the box

Also substituting into equation 2

A = 2[(3×1.2)+(3×6)+(1.2×6)]

A = 2(3.6+18+7.2)

A  = 2(28.8)

A = 57.6 ft²

A = 58 ft²

Answer:

Living

Step-by-step explanation: