What is the volume of this triangular prism?

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]

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:

Sushil gets $219.

Step-by-step explanation:

With the information provided, you can write the following equations:

It says that £730 is divided between June, Sushil & Fiona, which can be expressed as:

x+y+z=730 (1), where:

x is the amount June gets

y is the amount Sushil gets

z is the amount Fiona gets

Also, the statement indicates that June gets twice as much as Sushil which means that the amount June gets is equal to two for the amount Sushil gets:

x=2y (2)

Besides, you know that Sushil gets three times as much as Fiona which means that the amount Sushil gets is equal to 3 for the amount Fiona gets:

y=3z (3)

Now, you can replace (3) in (1) and (2) and you will have 2 new equations:

x=2(3z)

x=6z (4)

x+3z+z=730

x+4z=730 (5)

You have the following equations:

x=6z (4)

x+4z=730(5)

Next, you can replace (4) in (5) and solve for z:

6z+4z=730

10z=730

z=730/10

z=73

Now, you can replace the value of z in (3):

y=3z

y=3(73)

y=219

Finally, you can replace the value of y in (2):

x=2y

x=2(219)

x=438

According to this, the answer is that Sushil gets $219.

Answer: [tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

A standard 52 card deck includes spades, clubs, hearts, and diamonds.

13 card of each category is present

So, there are 13 spades present in the deck

Probability is the ratio of favorable to the total outcomes.

[tex]\therefore P=\dfrac{13}{52}\\\\\Rightarrow P=\dfrac{1}{4}[/tex]

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

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

hi

Sales  taxes  = 390 *0.074 = 28.86  

Total cost :  390+28.86 =  418.86

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:

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:

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:

(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:

x = -7

Explanation:

Move the constant to the right-hand side and change its sign:

3x = -26 + 5

Calculate the sum:

3x = -21

Divide both side of the equations by 3:

Therefore, the answer will be x = -7

Answer:

[tex]3x - 5 = - 26 \\ \\ = > 3x = - 26 + 5 \\ \\ = > 3x = - 21 \\ \\ = > x = - \cancel\frac{ - 21}{3} \\ \\ = > x = - 7[/tex]

Answer:

https://e-eduanswers.com/mathematics/question176807332

Step-by-step explanation:

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:

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:

x1 = -5 and x-2 = -1

Step-by-step explanation:

hope this helps

Answer:

x = -  1, - 5

Step-by-step explanation:

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:

300

Step-by-step explanation:

each ten is worth 10 so 10x30+ 300

plz mark brainliest

Answer:

[tex]k = 1[/tex]

Step-by-step explanation:

Given

[tex]3y = 5x + k[/tex]

Opposite points: [tex](1,-2)[/tex] and [tex](-2,1)[/tex]

Required

Find k

First, calculate the midpoint of the opposite points.

[tex](x,y) = 0.5(x_1 + x_2,y_1 + y_2)[/tex]

This gives:

[tex](x,y) = 0.5(1 -2,-2 + 1)[/tex]

[tex](x,y) = 0.5(-1,-1)[/tex]

Open bracket

[tex](x,y) = (-0.5,-0.5)[/tex]

The equation [tex]3y = 5x + k[/tex] becomes:

[tex]3 * -0.5 = 5 * -0.5 + k[/tex]

[tex]-1.5 = -2.5 + k[/tex]

Solve for k

[tex]k = 2.5-1.5[/tex]

[tex]k = 1[/tex]

Answer: 0.40673664307

Step-by-step explanation:

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:

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.