6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.

Answer:

31 inches

Step-by-step explanation:

you can get this answer by 2 ways. one is using number patterns.

find the difference between each of the heights.

13-10=3

16-13=3

19-16=3

therefore the common difference is 3

now create a number pattern.

first term + common difference× (n-1)= nth term

a+(n-1)d

let's check this with the 2nd month

10+ 3× (2-1)

10+3=13

in second month 13 inches

so this pattern works

let's find the height in 8th month

10+ 3(8-1)

10+ 21=31 inches

height in 8th month is 31 inches.

you can find this by just adding too. but forming an equation is always good and safe

Hey!!

Solution,

(5)^-2

=1/5^2

=1/25

The answer is 1/25

hope it helps

Good luck on your assignment

Answer:

[tex]=\left(x-4\right)^2[/tex]

Step-by-step explanation:

[tex]x^2-8x+16\\\mathrm{Rewrite\:}x^2-8x+16\mathrm{\:as\:}x^2-2x\cdot \:4+4^2\\x^2-8x+16\\\mathrm{Rewrite\:}16\mathrm{\:as\:}4^2\\=x^2-8x+4^2\\\mathrm{Rewrite\:}8x\mathrm{\:as\:}2x\cdot \:4\\=x^2-2x\cdot \:4+4^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\a=x,\:b=4\\=\left(x-4\right)^2[/tex]

Answer:

0

Step-by-step explanation:

Since it is asking you to factor out the quadratic, you need to make it equal zero first. -4 times -4 is both 16 and -8. So that means (x-4)^2

Answer:

    The correct answer is: (Line segment E F)

Answer:

Okkk I will answer

Answer:

what question do you have?

Step-by-step explanation:

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

Learn more on angles here: https://brainly.com/question/25770607

Answer:

The answer is 7.

Step-by-step explanation:

If you want to find what FE is, you have subtract GF from GE (GE - GF = FE).

Since GE = 13 and GF = 6, you have to subtract 6 from 13 which equals 7.

(13 - 6 = 7)

Answer:

Using the information from the problem, the measurement of ∠A is 55°

Step-by-step explanation:

We are given that ΔABC is isosceles. If a triangle is isosceles, then it means that two angles are going to be congruent to each other which are called the base angles. In the problem above, ∠A and ∠C are the base angles so that means that their measurements are going to be equal to each other.

We can use this information in order to solve the problem and find the measurement of ∠A. By doing so, we will set up both expressions and equal them to each other.

m∠A = 3x + 40

m∠C = x + 50

3x + 40 = x + 50

Subtract x on both sides of the equation.

2x + 40 = 50

Subtract 40 from both sides of the equation.

2x = 10

Divide 2 on both sides of the equation.

x = 5

So now that we have our x-value, we will plug this into both angles just to check our work. If they have the same measurement, then we have our answer for the measurement of ∠A.

x = 5

m∠A = 3(5) + 40

m∠A = 15 + 40

m∠A = 55

m∠C = (5) + 50

m∠C = 55

So, the two angles have the same measurements to each other which means they are congruent. Now, we have our answer.

The measurement of ∠A is 55°

Answer:

(x + 2) (3x + 1)

Step-by-step explanation:

3x² + 7x + 2

3x² + 6x + x + 2

3x(x + 2) + 1(x + 2)

(x + 2) (3x + 1)

Answer:

D' = (-2, 1)

Step-by-step explanation:

Translating the point D one unit up and five units left moves it to (-2, 5)

Reflecting it across y=3 moves it from (-2, 5), to (-2, 1)

Answer:

D = (-2, 1)

This answer is 100% right hope it helps

Answer: there would be 106,am not sure

Step-by-step explanation:

Answer:

Either side would have been improved by a railway so they could get more ammo in and get food in and also get the sick and wonded out to get medical attention

Step-by-step explanation:

19-28/n

n=7

19-28/7

19-4

=15

Answer:

d for the lazy people like me  :D PROPS TO THE PERSON ON TOP OF ME

Step-by-step explanation:

Answer:

The value of the investment V(t) after t years is $562.43

Step-by-step explanation:

Here, we are interested in calculating the balance V(t) after 3 years given the information in the question.

We are to use the given formula.

From the question;

V(t) = ?

P= $500

t = 3 years

r = 4% = 4/100 = 0.04

n = 1

Substituting these values into the formula, we have ;

V(t) = 500( 1 + 0.04/1)^(3)

V(t) = 500(1.04)^3

V(t) = 562.432

Answer:

y= 1/3x

Step-by-step explanation:

points on the graph

(0,0), (3,1)

function as per above two points:

y= 1/3x

Answer:

x= -7/5 y=8/5

Step-by-step explanation:

1. choose a variable to eliminate (i chose 6)

2. multiply the first equation by 2 and the second equation by 3

3. now you have

-6x+6y=18

6x-21y=-42

and the x's can now cancel out when you add the equations together

4. after adding the equations, you get

-15y=-24

5. solve for y (y= 8/5)

6. now plug in 8/5 for the y in one of the original equations to solve for x. (i chose the first one)

7. -3x+3(8/5)=9

-3x+24/5=9

-3x=21/5

x= -7/5

Answer:

-x - 12y

Step-by-step explanation:

(x-8y)-(2x-4y)=

x-8y-2x-4y=

x-2x-8y-4y=

-x - 12y

Answer: -x - 4y

Step-by-step explanation:

(x-8y)-(2x-4y)

x-8y-2x+4y

-x-4y

Answer:

Reflection about y=2

Step-by-step explanation:

Triangle A should be reflected about y=2 to map it onto Triangle B.

Answer:

reflection across y=2

Step-by-step explanation:

Answer:

1) 4

2) 1

3) -7

4) 13

Step-by-step explanation:

Instructions:

a) Subtract or add the slope from each side

( it doesn't matter which one you pick )

b) Subtract or add the # next to the slope from each side

( it doesn't matter which one you pick )

c) Divide Each number by the slope

d You have you answer

____________________________________________

1) 9x - 35 = - 7x + 29

+7x + 7x

_____________________

16x - 35 = 29

+ 35 +35

_____________________

16x = 64

_____________________

16 16

x = 4

2). - 2x - 2 = 9x - 13

+2x +2x

_____________________

- 2 = 11x - 13

+ 13 + 13

_____________________

11 = 11x

_____________________

11 11

1 = x

3). 3x + 29 = - 5x - 27

+5x + 5x

_____________________

8x + 29 = - 27

-29 -29

_____________________

8x = -56

_____________________

8 8

x = -7

4). x - 11 = 3x - 37

- x - x

______________________

-11 = 2x - 37

+37 +37

______________________

26 = 2x

_______________________

2 2

13 = x

Hope this helps! (:

Answer:

V =13/150 yd^3

Step-by-step explanation:

The volume of a rectangular prism is given by

V = l*w*h

V = 1/2*( 13/15)* 1/5

V =13/150 yd^3

Answer:

13\150 yd³

Step-by-step explanation:

V=height×weight×legth

1\2×13\15×1\5=13\150 yd³

Answer:

Step-by-step explanation:

[tex]\frac{5}{6}x-1>1\frac{1}{3}\\\\\frac{5}{6}x-1>\frac{4}{3}\\\\\frac{5}{6}x>\frac{4}{3}+1\\\\\frac{5}{6}x>\frac{4}{3}+\frac{3}{3}\\\\\frac{5}{6}x>\frac{7}{3}\\\\x>\frac{7}{3}*\frac{6}{5}\\\\x>\frac{7*2}{5}\\x>\frac{14}{5}\\\\x>2\frac{4}{5}[/tex]

To find the time until the ball hits the ground, you need to solve the quadratic as the height equals zero.

0 = -16t^2+50t

This gives us a classing quadratic that you can factor or use the quadratic formula to solve.

x = 0, x = 25/8

If you graph this, think of y = 0 as the ground, so when the parabola intersects the x-axis on the right that represents how much time would have passed.

Hope this helps you out! Good luck with your homework! Stay safe and stay healthy.

Answer:

The height of the ladder is 15 meters.

Step-by-step explanation:

To find the height of the ladder, we just need to use the cosine relation of the 60 degrees angle.

The adjacent side to the angle is the height of the ladder, and the hypotenuse of the triangle created is the length of the ladder. So, we have that:

cos(60) = height / length

0.5 = height / 30

height = 30 * 0.5 = 15 meters

The height of the ladder is 15 meters.

Answer:

i

Step-by-step explanation:

Answer:

10km

Step-by-step explanation:

2x5=10km

Answer:

570 miles

Step-by-step explanation:

If Damian rides 38 each week and we want to know how much it was for 15 weeks, then we just multiply the two to get 570 miles in a 15 week period.

Answer:570

Step-by-step explanation:

38 times 15= 570

Answer:

301 plates

Step-by-step explanation:

For numbers between 0 and 9, 1 plate was used each.

This means that 10 plates were used.

For numbers between 10 and 99, 2 plates were used for each.

This means that the number of plates used will be:

2 * 90 = 180 plates

For numbers between 100 and 136, 3 plates were used for each.

This means that the number of plates used is:

3 * 37 = 111 plates

The total number of plates used is therefore:

10 + 180 + 111 = 301 plates

301 plates were used in total.

Answer:

Step-by-step explanation:

Both B and C would be using e

Option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two linear equations or systems of equations:

3x-2y = 7 Equation 1

3x+4y= 17 Equation 2

As we know, in the elimination method:

We try to eliminate the variables at a time by making a similar coefficient of the x or y.

In option (B) Subtract the left side of equation 2 from the left side of equation 1.

It is not allowed to perform because first, we have to make the coefficient of y similar.

Thus, option (B) Subtracting the left side of equation 2 from the left side of equation 1 would be the correct choice.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer: 2908.92435 inches.

Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.

Step-by-step explanation for shape 2:

Using the formulas:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for A:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1

2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435

Step-by-step explanation for total volume: 2908.92435 inches.

Answer: 6825 in^3

Step-by-step explanation:

First divided the whole shape into two shapes.

The first shape will be a rectangular prism and the second shape will be a triangular prism.

The rectangular prism will have a length of 13, a width of 30 and the height of 13.

Now find the volume of the rectangular prism by multiplying the length by the width then by the height.

V= 13 * 30 * 13

V = 5070

This means the volume of the rectangular prism is 5070 cubic inches.

Now will will need to find the volume of the triangular prism.

The triangular prism has a triangle at the base, with a base of 9 and a height of 13. If you multiply the the area of the base by the whole height of the triangular prism which is 30 then you will get the volume.

Find the area of the base.

The area  is base time height times 1/2.

A = 9 * 13 * 1/2

A =  58.5  

Now multiply the area by 30.

58.5 * 30 = 1775

Finally, add both volumes to find the full volume of the figure.

5070 + 1775 = 6825