What is m∠BAC.

............

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:

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:

A: (1,3)

B: (3,2)

C: (-2,1)

D: (-4,-2)

E: (-2,-4)

F: (-1,-3)

G: (2,-1)

H: (4,-3)

J: (0,-2)

Answer:

A=1,3

B=3,2

C=-2,1

D=-2,4

E=-4,-2

F=-1,-3

G=2,-1

H=4,-3

J=0,-2

K=2,0

Answer: M-2 or M substracted by 2

Step-by-step explanation:

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:

5.6

Step-by-step explanation:

The equation is put in y = mx + b

where m = slope ( rate of change ) and b = y intercept

5.6 = m and 7 = b

Hence the rate of change for y = 5.6x + 7 is 5.6

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:

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:

y=4x-3

Step-by-step explanation:

Answer:

y= 4/1x-3

Step-by-step explanation:

Answer:

-1/2x+1=x-5

x=4

y=-4/2+1

y=-2+1

y=-1

(x,y)=(4,-1)

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:

1/3 x 8^2×pi(3.14)

Step-by-step explanation:

1/3 × 64 × 3.14

[tex]21 \frac{1}{3} \pi[/tex]

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:

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

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:

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

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

Given the  arithmetic sequence described by the formula;

a= -2(n - 1) + 7

To get a28, we will substitute n = 28 into the expression

a28 = -2(28-1)+7

a28 = -2(27)+7

a28 = -54+7

a28 = -47

Hence a28 is -47

Answer:

8.66

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

Dividing a fraction is the same as multiplying it by the reciprocal.

First, convert 4 and 2/3 to an improper fraction.

You get 14/3. Multiply that by the reciprocal of 1/2 (2/1) to get your answer.

14/3 * 2/1 = 28/3

Answer: s ≤ 60

Step-by-step explanation:

The common inequality signs include:

> which is greater than

< which is less than

= which is equal to

≥ which is greater than or equal to

≤ which is less than or equal to

Since the speed limit is 60 miles per hour, it simply means that the speed limit is less than or equal to 60 miles per hour. This will be:

s ≤ 60

The above means the speed is less than or equal to 60 miles per hour

Answer:

Step-by-step explanation:

32

Answer:

32

Step-by-step explanation:

Answer:

slope is -5\2

Step-by-step explanation:

use the point point slope formula

Answer:

11/12

Step-by-step explanation:

Answer:

40cm³

Step-by-step explanation:

5x8x2x1/2= 40cm³

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