What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? Enter your answer as a decimal in the box. radians

Answer:

7) 14✓2

8) 14

are the answers.

Step-by-step explanation:

in a triangle the sum of angles is 180 deg.

the third angle will be = 180 - 90 - 45

= 45 deg

since 2 angles in the triangle are 45 deg it means the triangle is isosceles

and in isosceles triangle the sides opposite to equal angles are equal which means

z = 14 (answer to question 8)

now in right angle triangle, by pythogoras theorem,

hypotenuse ² = base ² + height ²

thus

[tex] {w}^{2} = {z}^{2} + {14}^{2} \\ {w}^{2} = {14}^{2} + {14 }^{2} \\ {w}^{2} = 2 \times {14}^{2} \\ w = \sqrt{2 \times {14}^{2} } \\ = \sqrt{2} \times 14 \\ = 14 \sqrt{2} [/tex]

answer to question 7

Answer:

(1/4)(1/4) = 1/16

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

Answer:

ans is 0

Step-by-step explanation:

(3/5)0×-2

(3/5)^0

so the answer Is 0

Answer:

4(4+9)

(if you are able to use 4 twice)

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is [tex]r=10\%[/tex]

Future value is given by [tex]s=1000e^{0.1t}[/tex]

For the investment to double itself, i.e. [tex]s=2000[/tex]

[tex]\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}[/tex]

It takes around 6.93 years to double the investment.

Answer:

6^2

Step-by-step explanation:

it is a division between two power with the same base, so we have to subtract the exponents

6^(6-4) = 6^2

Answer:

36

Step-by-step explanation:

6^6/ 6^4

46656/1296

36

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

Answer:

5, 100, 10, 105, 15, 110,20}

Step-by-step explanation:

The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

The table

Now,

we can find the range of the function based on the input-output table:

The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.

To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.

Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ7

Answer:

7_14-21-28-35-42-49 -56-63-70-77-84

Answer:

1. Domain is -4<x≤5, Range is -1≤x<2

2. Domain is -Ꝏ<x<3, Range is -3<x<1

Bonus: Domain is -Ꝏ<x<2, 2<x<Ꝏ, Range is -Ꝏ<x<3, 3<x<Ꝏ

Answer:

I believe there is no answer because if x-y = 3 x - y cant equal 3 7.

Step-by-step explanation:

Please mark brainliest :) hope i helped

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

D. (0, -1)

Step-by-step explanation:

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Answer:

x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Ignore the A that doesn't belong in the answer

Answer:c.texture

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Around 69.08 centimeters.  

»»————-　★　————-««  

Here’s why:  

[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=3

Step-by-step explanation:

5x-1=3x+5(opposite sides of a parallelogram is equal)

5x-3x=5+1

2x=6

x=6/2

x=3

therefore the value of x is 3

Answer:

Step-by-step explanation:

So in a parrelelagram, we know that the top and bottom side are equivelent in length.

This is the same with the left and ride side as well.

So knowing this, we can solve x by setting up this equation:

5x-1=3x+5

This works because we know both sides are equvlent, but have different x values and number values.

Lets start solving:

5x-1=3x+5

First lets move all the numbers to one side:

5x=3x+6

Now lers get the variable to one side:

2x=6

Now divide both sides to get x alone"

x=3

This is your answer!

Hope this helps!

Answer:

2²+3² =x²

4+9. =x²

x² =13

x. =√13

answer is option c

Answer:

C

Step-by-step explanation:

You divided 4/2 you get 2

2^2+3^2=x^2

x^2=4+9

x^2=13

x= square root 13

Answer:

The answer would be 25.

4x4=16

16+9=25

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

25

Step-by-step explanation:

rewrite the equation

(4x4)+9

do the equation

16+9=25

Answer:

30

Step-by-step explanation:

idek

Answer:

C

Step-by-step explanation:

Perpendicular bisector of line segment AB