1a.) Brian borrowed 4 non-fiction books from the library. This was 25% of the
books he checked out. How many books did Brian check out? *

Answer:

Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]

[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

Answer:

D

Step-by-step explanation:

all answers are x = 0. If we put 0 instead of X.

y=0^4+3×0^3-2×0+7

y=0+0+0+7

y=7

Answer:

Area of Rectangle = 28 cm²

Step-by-step explanation:

Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.

To find - What is the area of the shaded rectangle?

Solution -

The graph of the rectangle is as follows :

From the diagram, e can see that

Length of Rectangle = 7 units (cm)

Breadth of Rectangle = 4 units (cm)

We know that,

Area of Rectangle = Length × Breadth

                              = 7 × 4

                              = 28 cm²

⇒Area of Rectangle = 28 cm²

Answer:

204/841

Step-by-step explanation:

17/29 times 12/29

Answer:

-3x^2+15x

Step-by-step explanation:

3x(5-x)

3x(-x+5)

-3x^2+15x

Answer:

a. east

b. 60 feet per second

Step-by-step explanation:

did this a while ago.

a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.

b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.

Answer:

96

Step-by-step explanation:

once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.

Answer:

The answer is 12

Step-by-step explanation:

If you would like you could use this tool https://www.omnicalculator.com/math/right-triangle-side-angle

Also 12, 35, 37 is a pythagorean triple further proving that tyheanswer is 12.

Answer:

Step-by-step explanation:

god bless

[tex]a[/tex]

Answer:

c = 18π    exact answer

c = 56.52   decimal approximation

Step-by-step explanation:

c = 2πr

c = 2π * 9

c = 18π    exact answer

Using 3.14 for π

c = 18 * 3.14

c = 56.52   decimal approximation

Answer:

D, 6 x 3 x 3

Step-by-step explanation:

One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.

Answer:

.25

Step-by-step explanation:

hundredth's is the second place over so you look the the 3rd number. 4 or less it stays the same 5 or more you add one

Answer:

1 & 1

Step-by-step explanation:

Answer:

19329, you are correct

Step-by-step explanation:

Volume = [tex]\pi * r^{2} * h[/tex]

Volume = [tex]3.14 * (18)^{2} *19[/tex]

Volume= 19329.84

not rounded= 19329

Answer:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

Answer:

No solution.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

convert mixed number into improper fraction

15/2÷3/4

to divide by a fraction multiply by the reciprocal of that fraction

15/2×4/3

reduce the numbers with the greatest common factor 3

5/2×4

reduce the numbers with the greatest common factor 2

multiply the numbers

5×2=10

10 is your answer

Answer:

[tex]Given~quadratic ~function : 1=x^2-6x[/tex]

[tex]here,a=1,b=-6[/tex]

[tex]so, the~numbers~which ~we ~need ~to ~add....[/tex]

➜ [tex](\frac{b}{2} )^2[/tex]

➜ [tex]=(\frac{-6}{2})^2[/tex]

➜[tex]=(-3)^2[/tex]

➜ [tex]=9[/tex]

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

hope it helps...

have a great day!!

Answer: 1.75=5n

Step-by-step explanation:

1.75 is being divided by n 5 times

In order to find out what g is equal too,u must subtract 19 from both sides of the equation to get

g +19-19=38-19

the nineteens cancel out getting

g=38 -19

g=19

Answer:

I need a list of numberlines or some other kind of explaination on how to solve this problem. I caint help you on this with out them. Sorry.

Step-by-step explanation:

Answer:

a Answers is A

b Answer is D

Step-by-step explanation:

he sayed that the X doubles in the first one so its ×2

and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3

Answer:

C

Step-by-step explanation:

4(5)+10-12=18

Answer:

448 yd^3

Step-by-step explanation:

V = Bh  where B is l * w

V = l*w*h

V = 8* 14* 4

  =448 yd^3

Answer:

The volume of this rectangular prism is equal to [tex]448yd^{3}[/tex].

Step-by-step explanation:

From the question, we know the formula for the volume of a rectangular prism is V = Bh (where B is length times width, and "h" is the height).

Now we replace B (because we know that B is length times width) and get...

V = lwh (where "l" is the length of the prism, and "w" is the width of the prism.

Now we just substitute the values and get...

[tex]V = lwh = (14)(4)(8) = 448yd^{3}[/tex]

Answer:

Step-by-step explanation:

3x + 4y = 17

5x - 4y = 7

you can thus cancel out 4y

Hence

8x = 24

Hence x = 3

Substituting’

3(3) + 4y = 17

9 + 4y = 17

Hence 17 - 9/4

= y = 2

Hope this helps

Answer:

Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.

Step-by-step explanation:

Answer:

1.344 cubic units

Step-by-step explanation:

Given data

Base edge a= 1.2

Hieght= 2.8

The expression for the volume of a pyramid is

V= a^2h/3

substitute

V= 1.2^2* 2.8/3

V= 1.44*2.8/3

V= 4.032/3

V= 1.34cubic units

Answer:

Step-by-step explanation:

1. Slope

2. Hypotenuse