You deposit $600 in a savings account. the account earn 4% simple interest per year.

Answer:

2.5 miles

Step-by-step explanation:

Answer:

AB = 142

Step-by-step explanation:

If M is the midpoint, then AM = MB

6x+5 = 7x -6

Subtract 6x from each side

6x-6x+5 = 7x-6x -6

5 = x-6

Add 6 to each side

5+6 = x-6+6

11=x

We want to find AB

AB = 6x+5+7x-6

AB = 13x -1

     = 13(11) -1

     =143-1

     = 142

Answer: x = 10

Step-by-step explanation:

Answer: x=10

Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10

Part (a)

Answer: 42

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Work Shown:

The angle ABC is 90 degrees since AB and BC are perpendicular. The two segments form a right angle. Therefore, the three pieces of the angle must add to 90

24+x+24 = 90

x+48 = 90

x+48-48 = 90-48 ... subtracting 48 from both sides

x = 42

=======================================

Part (b), subpart (i)

Angle q is congruent to the 135 degree angle because they are vertical angles.

Vertical angles are opposite angles formed by the X shape when two lines cross, and vertical angles are always the same measure.

=======================================

Part (b), subpart (ii)

Answer: 225

-------------

Reasoning:

The four angles p,q,r and the 135 all add to 360, so,

p+q+r+135 = 360

subtract 135 from both sides so we isolate the "p+q+r" and that leads to

p+q+r+135 = 360

p+q+r+135-135 = 360-135

p+q+r = 225

Answer:

Daniel can make 12 outfits

Step-by-step explanation:

3*2*2=12

Answer:

5 (4 x + 5)

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.

Answer:

The top two are 3 and 4

The bottom two are 6

Step-by-step explanation:

hope it works out

Answer:

x = all real numbers, infinite solutions

Step-by-step explanation:

4(x-2) + 7 = 4x - 1

Distribute

4x -8+7 = 4x-1

Combine like terms

4x -1 = 4x-1

Subtract 4x from each side

4x-1 -4x = 4x-1-4x

-1 = -1

This is always true so  there are infinite solutions for x

Answer:

0.38

Step-by-step explanation:

Answer:

i think it is .64

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

5 + 6 + 7 + 8 = 11 + 15 = 26

Hope it helps you in your learning process.

Answer:

26

Step-by-step explanation:

[tex]5+6+7+8\\\text {Add: }\\5+6+7+8\\11+7+8\\18+8\\\boxed {26}[/tex]

5+6+7+8 = 26

Answer:

Scale factor = [tex]\frac{4}{9}[/tex]

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = [tex]\frac{\text{volume of small prism}}{\text{Volume of large prism}}[/tex]

                      = [tex]\frac{128}{1458}[/tex]

                      = [tex]\frac{64}{729}[/tex]

                      = 64 : 729

Scale factor = [tex]\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}[/tex]

                    = [tex]\sqrt[3]{\frac{64}{729}}[/tex]

                    = [tex]\frac{4}{9}[/tex]

Perimeter ratio = Scale factor

                         = [tex]\frac{4}{9}[/tex]

                         = 4 : 9

Surface area ratio = (Scale factor)²

                              = [tex](\frac{4}{9})^{2}[/tex]

                              = [tex]\frac{16}{81}[/tex]

                              = 16 : 81

Answer:Scale factor = 4/9

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Answer:

I think it is a 160o Angle

Step-by-step explanation:

Answer:

In short, they are all solutions to your equation.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below. I clarified as much as possible and included all explanations/work.

I hope this helps.

Answer:

(A)[tex]420$ cm^3[/tex]

Step-by-step explanation:

Volume of the solid box [tex]= 10*6*15=900$ cm^3[/tex]

Since the box tube is constructed out of 1 cm thick metal, we subtract 1cm on both sides of the width and height.

See the attached diagram for illustration.

However, the depth of the box remains unchanged, therefore:

Internal Volume of the box[tex]=8*4*15=480$ cm^3[/tex]

Volume of metal used = Volume of Solid Box - Internal Volume

=900-480

=[tex]420$ cm^3[/tex]

The correct option is A.

Answer:

V = l×w×h units³

Step-by-step explanation:

The volume of a rectangular prism is V = l×w×h

Answer:

Step-by-step explanation:

Susan started her homework at = 1:59 pm

She took time = 96 mins

Time at which she had volleyball practice = 4:00 pm

So, time between her starting of homework and starting of volleyball is given by

1:59 pm to 4:00 pm = 2 hrs and 1 mins

2 hr 1 min = 120 mins + 1 min = 121 mins

But she took 96 mins to do her homework, so

Out of 121 mins, 96 mins she took for homework

Remaining time = 121 mins - 96 mins = 25 mins

Therefore, time Susan had between finishing her homework and the beginning of volleyball practice is 25 mins

Answer:

the range of this function is d

{3,9,12}

Answer:

12 cm

Step-by-step explanation:

tan B = opposite side / adjacent side

Tan B = AC / BC

.75 = 9 / BC

Multiply each side by BC

BC (.75) = 9

Divide each side by .75

BC = 9/.75

BC =12

Answer:

120 ways

Step-by-step explanation:

Here, we want to calculate the number of ways in which the ribbons can be awarded.

There are 6 competitors and there should only be one first position. What this means is that there are 6 possible ways to become first and 6 possible ways to clinch the gold ribbon.

Now, looking at the second position, since one person already claimed the first, there would be only 5 of the competitors jostling for the second position. This means that the number of ways they can claim the blue ribbon is 5 ways

For the fourth position, there are only 4 competitors wanting to claim the red ribbon. This is because we already have winners for the first and second position.

The number of ways this can be done is thus 4 ways

Now the total number of ways the ribbons can be awarded would be 6 * 5 * 4 = 120 ways

Step-by-step explanation:

i think 120 degrees

to get vertical position

Answer:

[tex](x-1)^{2}+(y-3)^{2} = 5[/tex]

Step-by-step explanation:

Given the general equation of a circle represented as:

[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] where:

(a, b) is the centre of the circle and r is the radius

Given the centre located a (1,3), to get the radius we will take the distance between the centre point of the circle the the point that lies on its circumference i.e (0,1).

Using the formula for calculating thee distance between 2 points, we have:

[tex]r = \sqrt{ (x2-x1)^{2}+(y2-y1)^{2}}[/tex]

x1 = 1, y1 = 3, x2 = 0, y2 = 1

[tex]r = \sqrt{ (0-1)^{2}+(1-3)^{2}}\\r=\sqrt{1^{2} +(-2)^{2}}\\r=\sqrt{1+4}\\r=\sqrt{5}[/tex]

Substituting this values of the centre and radius of the circle into the general equation of a circle we have:

[tex](x-1)^{2}+(y-3)^{2} = (\sqrt{5}) ^{2}\\(x-1)^{2}+(y-3)^{2} = 5[/tex]

This gives the required equation of the circle.

Answer:

Idk I’m sry

Step-by-step explanation:

Answer:

128 my answer needs to be long so im just gonna span a little

Answer:

a lot

Step-by-step explanation:

Answer:

idk hff 8gciy ctcs 6rxtc igv6rx8

Answer:

Step-by-step explanation:

Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.

According to Wyatt expression;

8c-48cd

It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;

[tex]8c-48cd = 8c(1-6d)[/tex]

since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.

According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.

For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.

Answer:

Wyatt

Step-by-step explanation:

it's on edge

Answer:

nth term = 7n - 2

Step-by-step explanation:

The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below

The nth term of the arithmetic sequence form can be represented as follows.

nth = a + (n - 1)d

where

a = first term

d = common difference

Therefore,

a = 5

d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7

nth = a + (n - 1)d

nth term = 5 + (n - 1)7

nth term = 5 + 7n - 7

nth term = 7n - 2

Answer:

Triangular pyramid and Rectangular prism

Step-by-step explanation:

There are several different uses of the formula V = BH. For example, we used the formula V = BH for a cylinder, a rectangular prism, and a triangular pyramid. But be careful! All of the elements in the formulas don't mean the same! I really hope this helps you a bit!

Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

It refers to the area of one of the bases of a solid figure.

Given,

Volume V= B×h

Where B is the Base area and h is the height

Volume of the Right triangular prism and rectangular prism can be found by using the given formula V = B×h. Because two identical shapes (base) facing each other with a height h

But we cannot find the volume of the Rectangular pyramid, triangular pyramid and mid by using the given equation because this formula is used to find the volume of a geometric prism or cylinder.

Hence, Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h

Learn more about Volume and Base area here

https://brainly.com/question/14991387

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