(a) The radius of a circle is 5.6 cm. Find the angle in degrees subtended by an arc of 22 cm at the
centre of the circle.



DO NO A PLEASE​

Let's start with proving that side AB is parallel to side CD

First off, let's find the slope of line AB. So we'll use the slope formula.

[tex]A = (x_1,y_1) = (2,-1)\\\\B = (x_2,y_2) = (1,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{1 - 2}\\\\m = \frac{3 + 1}{1 - 2}\\\\m = \frac{4}{-1}\\\\m = -4\\\\[/tex]

The slope of AB is -4.

Now let's find the slope of line CD.

[tex]C = (x_1,y_1) = (6,5)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 5}{7 - 6}\\\\m = \frac{-4}{1}\\\\m = -4\\\\[/tex]

The slope of CD is also -4.

Recall that parallel lines always have equal slope (but different y intercepts).

This proves that AB is parallel to CD.

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

We'll follow the same steps to show that AD is parallel to BC.

Find the slope of AD

[tex]A = (x_1,y_1) = (2,-1)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-1)}{7 - 2}\\\\m = \frac{1 + 1}{7 - 2}\\\\m = \frac{2}{5}\\\\[/tex]

Now find the slope of BC

[tex]B = (x_1,y_1) = (1,3)\\\\C = (x_2,y_2) = (6,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 3}{6 - 1}\\\\m = \frac{2}{5}\\\\[/tex]

We get 2/5 each time, so these lines are parallel as well.

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

In short, the first section shows that AB is parallel to CD. The second section proved that AD is parallel to BC.

Because we have two pairs of parallel opposite sides, we can say that ABCD is a parallelogram.

Edit: I have attached the diagram below.

Answer: A

Step-by-step explanation:

as according to law if a number is multiplied at one side then it will be divide to other side

so

Step-by-step explanation:

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Answer:

(1,-5)

Step-by-step explanation:

4x + 2y = -6

-3x -2y = 7

in this case you can just add the two items together

x = 1

4(1) + 2y = -6

2 y = -10

y = -5

[tex] - \frac{2}{5} [/tex]

Answer:

x=-2

Step-by-step explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b  Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

Step-by-step explanation:

sin X = 37/64

sin X = .578

X = sin ^-1 (.578)

X = 35.3°

hope it's correct

Answer:

2 feet

Step-by-step explanation:

for area of a triangle it's (height times width) divided by 2, and 10 times 2 divided by 2 is 10

Answer:

Length of base of triangle = 2 feet

Step-by-step explanation:

Given:

Area of triangle = 10 square feet

Height of triangle = 10 feet

FInd

Length of base of triangle

Computation:

⇒ Area of triangle = (1/2)(Base)(Height)

⇒ 10 = (1/2)(Base)(10)

⇒ 10 = Base(5)

⇒ Length of base of triangle = 10 / 5

Length of base of triangle = 2 feet

Answer:

isosceles triangle.

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

In isosceles triangle, two sides are equal and the angles opposite to these equal angles are also equal. The third side of the triangle is called base

Answer:

Step-by-step explanation:

The answer is D 28 degrees

Answer:

B

Step-by-step explanation:

Answer: b and d

Step-by-step explanation:

edge21/22

Answer:

5•782×10^-5

Step-by-step explanation:

(5•9×10^4((9•8×10^5)

(59×10^-1×10^4)×(98×10^-1×10^5)

(59×98) (10^-1×10×4×10-1×10^5)

5782×10^-1+^4+^-1+^5

578×10^7

5•782×10^7-^2

5•782×10^-5

Thanks Hope It Help

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 – 9x

Add 9x to each side

x - 42+9x = 98 – 9x+9x

10x-42 = 98

Add 42 to each sid

10x-42+42 = 98+42

10x = 140

Divide by 10

10x/10 =140/10

x = 14

Answer:

75.398

Step-by-step explanation:

Surface area,

2πr²+2πrh

= 2π×2²+2π×2×4

= 75.3982237..

= 75.398 (rounded to the nearest hundredth)

Answer:

The answer is B because it's all real numbers since it won't stop

Step-by-step explanation:

The domain of the function shown is -∞ ≤ x ≤ +∞

The domain and range are the main characters of a function. The domain of a function is the inputs of the given function on the other hand the range signifies the possible outputs we can have.

Given is a graph we need to determine its domain,

We know,

The domain of a function represents the set of coordinates in the x-axis that belongs to the curve of the function itself. After a brief inspection, we see that function has an horizontal asymptote at y = 1, and no vertical asymptotes. Therefore, the domain of the function shown is -∞ ≤ x ≤ +∞.

Hence, the domain of the function shown is -∞ ≤ x ≤ +∞

Learn more about domain click;

https://brainly.com/question/28135761

#SPJ7

Answer:

Step-by-step explanation:

The question has asked who has taken fewer than 15 courses

There are 4 options that are fewer than 15: 10, 8, 8, 13

4/10  (10 is total number of options/students)

To find the percentage you...

Answer:

36

Step-by-step explanation:

Number of points Fran won = points Fran had - points Calvin had

14 - (-22)

= 14 + 22

= 36

Answer:

5.1

Step-by-step explanation:

[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]

0.4663 * 11 = x

x = 5.1293

x = 5.1

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

Answer:

Step-by-step explanation:

circumference = [tex]\pi[/tex]* diameter

circ = 3 * 32

circ = 96

Answer:

Perform a horizontal line test

Answer:

1 is the wrong answer i dont know the answer plz help him

Answer:

A model is an estimate of a data set.

A useful model can be used to make predictions.

Step-by-step explanation:

There are various models used in mathematics which are used to predict variables. The regression model is used to predict the relation between two variables. There are various other models which help to predict the future events and outcome of these events.

Let’s start with the easy part: half of the base is 3.

Therefore, 3 x h + 1 = 18

3 x h = 3h and 3 x 1 = 3

3h + 3 = 18

To solve these equations, you have to do the inverse. First you would need to minus 3:

3h = 15

3h is a simpler way of saying 3 x h, so the inverse would be a divide.

h = 5

Answer:

2. given

5. substitution

Step-by-step explanation:

that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.

nothing was calculated, this information is simply there at the beginning, is "given" to us.

step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.

Answer:

b,c

Step-by-step explanation:

The axis of symmetry is along the vertex

a has a vertex at x=1

b has a vertex at x = -1

c has a vertex at x=-1

d has a vertex at x =2

Explanation:

Notice how the vertical line through the center of these parabolas is at x = -1. In other words, the vertical line cuts through -1 on the x axis. Reflecting one half of the parabola over this line will result in the other half.

The value of x is 40°

Answer:

Solution given:

In triangle BCE

<C+<B+<E=180°[sum of interior angle of a triangle]

<C+60°+x°=180°

<C=180°-60°-x°

<C=120°-x°

again

<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]

2x=120-x

2x+x=120°

3x°=120°

x°=120°/3°

x°=40°

Now we have to,

find the required value of x.

Then in ∆ BCE,

By sum of interior angle of a triangle.

→ <C+<B+<E = 180°

→ <C+60°+x = 180°

→ <C = 180-60-x

→ <C = 120-x

Now by the exterior angle of,

A cyclic quadrilateral is equal to the opposite interior angle.

→ <A = <C

→ 2x = 120-x

→ 2x+x = 120

→ 3x = 120

→ x = 120/3

→ x = 40°

Hence, 40° is the value of x.