Exercise 4
Use the pi button on a calculator and give answers to 3's.f.
1. A circle has an area of 15 cm². Find its radius.
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a
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2. A circle has a circumference of 190 m. Find its radius.
3. Find the radius of a circle of area 22 km².
4. Find the radius of a circle of circumference 58.6 cm.
5. A circle has an area of 16 mm². Find its circumference.
6. A circle has a circumference of 2500 km. Find its area.

Answer:

x=4 and y=−2

Step-by-step explanation:

Let's solve your system by substitution.

3x+8y=−4;2x−4y=16

Step: Solve 3x+8y=−4 for x:

3x+8y=−4

3x+8y+−8y=−4+−8y(Add -8y to both sides)

3x=−8y−4

3x/3=−8y−4/3 (Divide both sides by 3)

x=−8/3y+−4/3

Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:

2x−4y=16

2(−8/3y+−4/3)−4y=16

−28/3y+−8/3=16 (Simplify both sides of the equation)

−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)

−28/3y=56/3

−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)

y=−2

Step: Substitute−2 for y in x=−8/3y+−4/3:

x=−8/3y+−4/3

x=−8/3(−2)+−4/3

x=4 (Simplify both sides of the equation)

So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4

[tex] \cos(theta) = \frac{60}{61} [/tex]

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 5) into the partial equation

- 5 = 3 + c ⇒ c = - 5 - 3 = - 8

y = - 3x - 8 ← equation of line

Answer:

y = -3x + -4

Step-by-step explanation:

y = mx + b

to find the y-intercept we need to add or subtract (in this case it's add) a number to x to get to 0.

x = -1.

to get to 0, you need to add one

do that same thing to y

[tex](-1, -5) + (1, 1) = (0, -4)[/tex] therefore the y-intercept (or b) is negative 4.

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

Answer:

20x

Step-by-step explanation:

Answer:

[tex]perimeter = 2(l + w) \\ = 2((4x + 2) + 2) \\ = 2(4x + 4) \\ =( 8x + 8) \: units \\ \\ area = l \times w \\ = (4x + 2) \times 2 \\ = (8x + 4) \: sq \: units[/tex]

Answer:

[tex]a=250[/tex]

[tex]b=10[/tex]

Step-by-step explanation:

[tex]a=\frac{5x^2}{2}=\frac{5(10)^2}{2}=\frac{5(100)}{2}=\frac{500}{2}=250[/tex]

[tex]b=\frac{2x^2(x-5)}{10x}=\frac{2(10)^2(10-5)}{10(10)}=\frac{2(100)(5)}{100}=2(5)=10[/tex]

a = 5x²/2

a = 5(10)²/2

a = 5 × 100/2

a = 250

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b = (2x²(x-5))/10x

b = (2(10)²(10-5))/10 × 10

b = (200(5))/100

b = 10

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hope this helps you

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Answer:

3/5

Step-by-step explanation:

[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]

Adjacent side² = hypotenuse² - opposite side²

= 5² - 4²

= 25 - 16

= 9

Adjacent side = √9 = 3

Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]

Sin = 4/5 = Perpendicular/hypotenuse

CosA = Base/hypotenuse

Base = √hyp. ^- prep.^

Base= 3/5

Answer:

Step-by-step explanation:

4x + 20 + 2x =90 degree (being perpendicular)

6x + 20=90

6x =90-20

6x =70

x=70/6

x=11.66666667

Answer:

3

Step-by-step explanation:

x=(5x-13)

so you work that equation out

take the 5x to the side of x and equate it to what you get

x=5x-13

5x+x=13+5

6x = 18 = x=3

6 6

x=3

Answer:

Don't trust me but I would say B

Answer:

A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle, and is necessarily a right triangle. The name is derived from the Pythagorean theorem , stating that every right triangle has side lengths satisfying the formula a2+ b2= c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.

Step-by-step explanation:

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

Answer:    *gives my pancakes away*   There enjoy <;3

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

the answers B

Step-by-step explanation:

I foreal have to wait 32 seconds just to send this 14 seconds left lol wyd 3 seconds

Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

The required values are :

[tex] \longrightarrow \mathrm{BC = 8 \: \: cm}[/tex]

and

[tex] \longrightarrow \mathrm{AC = 10 \: \: cm}[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

The slope is 2 and the y intercept is 6

Step-by-step explanation:

y = 2x+6

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is 6

Answer:

2

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

y = 2x + 6

m = 2

Slope is 2

Answer:

24.25 feet

Step-by-step explanation:

Answer:

4.8 inches.

Step-by-step explanation:

By using the scale given, you can divide the actual length by the scale (48 ft/10 ft to find it in inches).

When done, it gives you 4.8 inches as the answer.

Answer:

12, It's simple, all you have to do is divide 48 by 4

easy ^-^

Answer:

1 + i

Step-by-step explanation:

Given that A is a 3 * 3 singular matrix

one of its eigenvalue ( λ1 ) = 1 - i

Given that the determinant of a singular matrix is = 0

therefore the second eigen value ( λ2 ) = 1 + i

1 - i + 1 + i  = 0

Answer:

A: 5 and 11- 11 is higher so 11-5= 6

B: 4 and 9- 9 is higher that 4 so 9-4=5

C: -5 and 1- l don't know i couldnt calculate this one, hope these helped

Answer:

B

Step-by-step explanation:

It should be B

Answer:

x = 7

S.A.S

Step-by-step explanation:

2x + 14 = 4x

2x = 14

x = 7

Answer:

C.

Step-by-step explanation:

You do the opposite to the numbers when plugging them into the equation and what they equal will be the radius squared.

6 goes to -6 and -1 turns to 1.

7.4 squared= 54.76

Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Option (C) is correct

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

"The center of a circle is the point which is equidistant from all points on the circle."

"The constant distance between the center and any point of the circle is called its radius."

We have,

Center (h, k) = (6,-1)

Radius r = 7.4

We know,

Standard equation of the circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Substitute the values of h, k, r in standard equation of circle

[tex](x-6)^{2}+(y+1)^{2}=(7.4)^{2}[/tex]

⇒[tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Hence, Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} =54.76[/tex]

∴ Option (C) is correct

Learn more about Circle, Center and radius of circle here

https://brainly.com/question/13658927

#SPJ2

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Answer:

ratio is 1/2

Step-by-step explanation:

r=8/16 =1/2

Answer:

1/2

Step-by-step explanation:

16 * 1/2 = 8

8 * 1/2 = 4

4 * 1/2 = 2

Hope this helps!

Answer:

x = 5/2

Step-by-step explanation:

4x-2 = 8

Add 2 to each side

4x-2+2 = 8+2

4x = 10

Divide by 4

4x/4 =10/4

x = 5/2

Answer:

x = 2.5

Step-by-step explanation:

4x - 2 = 8

4x = 8+2

4x = 10

x = 10/4

x = 2.5

Answer:

8/35 cubic inches

Step-by-step explanation:

Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.

Answer:

See below.

Step-by-step explanation:

sin(71) = x/23

x = sin(71) * 23

x = 21.75

Answer:

21.75 (2 digit after decimal)

Step-by-step explanation:

Sin theta = perpendicular/hypotenuse

sin 71=x/23

23 sin 71=x

x=21.747

7 x 180 = 1260

1260/2 = 630 is the answer

Answer:

630

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

many different values of x lead to the same value of y.

hence, many-to-one.

but it does not mean that all values of x have to lead to the same value of y. it could be, but it is not demanded. so, it is not necessarily a horizontal line.

and this does not give us any information about the power of x involved. so, we cannot make any statement about linear or non-linear function.