The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?

Step-by-step explanation:

1. 6 ounce = 1.56 $

So, 1 onuce = 1.56/6 =

2. 14 ounce = 3.36 $

So, 1 ounce = 3.36/14 =

3. 20 ounce = 5.60 $

So, 1 ounce = 5.60/20 =

The 7th term of the sequence to the nearest thousandth is 223.949

These are sequence that increases in an exponential form.

The formula for calculating the nth term of a geometric sequence is expressed as:

Tn = ar^n-1

Given the following parameters

a = 75

r = 1.2

n = 7

Substitute the given parameter into the formula

T7 = 75(1.2)^6
T7 = 223.949

Hence the 7th term of the sequence to the nearest thousandth is 223.949

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Call the two-digit number : ab

The new number formed : ba

We have : 10a + b + 10b + a = 143

11a + 11b = 143

a+b = 143 : 11 = 13

So, we have a few combinations for a and b : (4;9) , (5;8) , (6;7) , (7;6) , (8;5) , (9;4)

Out of all these, only 76 is the satisfied number, as the new number formed is 67, and 76 + 67 = 143 ; 76 - 67 = 9

Answer:

  x = 3/8

Step-by-step explanation:

The difference of the two squares can be found several ways. One way uses the "difference of squares" special form.

  a² -b² = (a -b)(a +b)

For the given squares, this is ...

  (2x +3)² -(2x -3)² = ((2x +3)-(2x -3))((2x +3) +(2x -3)) = 6(4x) = 24x

We want to find x that makes this difference be 9:

  24x = 9

  x = 9/24 = 3/8

For the value x = 3/8, the difference between the squares of the binomials will be 9.

Answer:

B

Step-by-step explanation:

Answer: All but one was right

1. 0 (correct)

2. 34 (correct)

3. 398 (correct)

4. -350 (correct)

5. 20 (correct)

6. 200 (wrong)

7. 48 (correct)

8. -1000(correct)

9. 150 (correct)

10. -55 (correct)

Step-by-step explanation:

(2x5)x(9÷3)+4=10x3+4=30+4=34

4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398

-10x20-30(5)=-200-150=-350

5x10-30=50-30=20

4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200

3x4(20÷5)=12x4=48

-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000

20x5+70-20=100+70-20=170-20=150

-5+10x(-5)==5+-50=-55

Answer:

1. 0

2. 34

3. 398

4. -350

5. 20

6. 200

7. 48

8. -1000

9. 150

10. -55

Step-by-step explanation:

-2 + 5 - 3

3 - 3 = 0

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

2 × 5(9 ÷ 3) + 4

2 × 5(3) + 4

2 × 15 + 4

30 + 4 = 34

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

4(25 × 8 ÷ 2) + 3 - 5

4(200 ÷ 2) + 3 - 5

4(100) + 3 - 5

400 + 3 - 5

403 - 5 = 398

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

-10 × 20 - 30(5)

-200 - 150 = -350

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

5 × 10 - 30

50 - 30 = 20

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

4(50 - 20 ÷ 4) + 20

4(50 - 5) + 20

4(45) + 20

180 + 20 = 200

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

3 × 4(20 ÷ 5)

3 × 4(4)

3 × 16 = 48

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

-20(50 × 2) + 5(200)

-20(100) + 1000

-2000 + 1000 = -1000

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

20(5) + 70 - 20

100 + 70 - 20

170 - 20 = 150

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

-5 + 10(-5)

-5 + -50 = -55

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

The only one I see wrong is "4(50 - 20 ÷ 4) + 20"

I hope this helps!

The volume of the fountain cup in gallons is 4775.2 gallons

Since the fountain cup is in the shape of a frustum, its volume is given by

V = πh/3(r² + rr' + r'²) where

So, substituting the values of the variables into th equation, we have

V = πh/3(r² + rr' + r'²)

V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]

V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]

V = π × 8 ft/3 × (76 ft²)

V = 608π ft³/3

V = 1910.088 ft³/3

V = 636.69 ft³

V ≅ 636.7 ft³

Since there are 7.5 gallons per cubic foot,

The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons

So, the volume of the fountain cup in gallons is 4775.2 gallons

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The height of each paper cup to the nearest whole number is 15cm

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

r is the radius

h is the height

Given that h = 9cm and r = 3.8cm

V = 3.14 * (3.8)² * 9
V = 408cm³

For the cone

V = 1/3πr²h

408 = 1/3 (3.14 * (5.1)² * h)
1224 = 81.6714h

h = 1224/81.6714
h= 15cm

Hence the height of each paper cup to the nearest whole number is 15cm

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Answer:

x = 21.

Step-by-step explanation:

AS there are parallel lines:

4/12 = 7/x

4x = 84

x = 84/4 = 21.

Answer:

  6.03 years

Step-by-step explanation:

The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...

  r(x) = 60000(0.75^x)

The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...

  h(x) = 20000(0.90^x)

__

We want to find x such that h(x) > r(x).

  20000(0.90^x) > 60000(0.75^x)

  0.90^x > 3(0.75^x) . . . . . . . divide by 20000

  (0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x

  x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)

  x > 6.025685

It will take about 6.03 years for the Honda to be worth more.

Answer:

sqrt(37) = arpox 6.1

Step-by-step explanation:

sqrt(1^2+6^2) = sqrt(37)

Answer:

3 tons per hour

Step-by-step explanation:

Since 0.5=1/6

you can multiply 0.5 by 6:

0.5x6= 3

With an ending result of 3 tons per hour

The addison see to the horizon at 2 root 2mi.

We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.

We have to find the how much farther can addison see to the horizon

[tex]d=\sqrt{\frac{3h}{2} }[/tex]

Where, we have

d- the distance they can see in thousands

h- their eye-level height in feet

For Kaylib

[tex]d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)[/tex]

For Addison h=85(1/3)

[tex]d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)[/tex]

Subtracting both distances we get

[tex]8\sqrt{2}-6\sqrt{2} =2\sqrt{2}[/tex]

Therefore, the addison see to the horizon at 2 root 2mi.

To learn more about the eye level visit:

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Answer:

2 root 2mi.

Step-by-step explanation:

Edge2020

The function I = 19n is a linear function

The reasonable domain of the function is [0,21]

The function is given as:

I = 19n

The smallest value of n is 0 i.e. the smallest number of ticket sold is 0

The maximum capacity is 400.

So, we have:

19n = 400

Divide both sides by 19

n = 21.05

Remove the decimals

n = 21

Hence, the reasonable domain of the function is [0,21]

Read more about domain at:

https://brainly.com/question/1770447

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      [tex]\sf x + 2y = 7[/tex]

[tex]\sf \implies 2y=7-x[/tex]

[tex]\sf \implies y = \dfrac12(7-x)[/tex]

Now input the given x-values into the equation to determine the y-values:

[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]

[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]

[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]

[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]

[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]

[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

Answer:

a

Step-by-step explanation:

General equation of a circle : [tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A

The area of smaller square is 81

Answer:

F

Step-by-step explanation:

And it is the solid line because it is less than OR equal to

Dotted line would just be less than

Answer:

11,520

Step-by-step explanation:

this should be the prism you're talking about if not i dont know which one

Answer:

B. 11,520 mm³

Answer:

f(-1)=2(-1)³-3(-1)²+7 = 2

f(1)=2(1)³-3(1)²+7 = 6

f(2)=2(2)³-3(2)²+7 = 11

Answer:

The correct answer is 6 ft. Hope this helps!

Step-by-step explanation:

Answer:

695

Step-by-step explanation:

So for thus, you need to follow PEMDAS

First, Parentheses

(-14 + 2.5) = -11.5

Skip E, there are no Exponents

Now for Multiplication

30 * (-11.5) = -345

Lastly, Subtraction

350 - -345

Becomes 350 + 345 = 695

Answer:

The answer is 695.

350-30(-14+2.5)=695.

Step-by-step explanation:

when we look at the triangle try to reposition it at least in your mind to make R to be the center of the circle. then RP (29) is the radius of the circle and the angle indication of the angle R in this circle.

then we see QP is the sine, and RQ is the cosine of the angle R. but don't forget : all are multiplied by the radius, because the pure sin and cos functions deliver the values for the standard circle with radius 1.

so,

QR = cos(R)×RP

21 = cos(R) × 29

cos(R) = 21/29

the fourth answer is correct.

Answer:

the answer is D I took the test

Answer:

73

Step-by-step explanation:

supplementary anges are equal to 180 so e is 180-107

Answer: 73∘.

Step-by-step explanation: With supplementary angles, the two angles have to add up to 180∘.  According to the question, the measure of <F is 107∘.  What we need to do is make <E and <F add up to 180∘.  To do this, we can subtract 107∘ from 180∘ to find <E:

180∘ - 107∘ = 73∘, which means that <F is 107∘ and <E is 73∘, which both make 180∘.

Therefore, <E is 73∘.

Have a great day! :)

Answer: 3:2 and 2:3

Step-by-step explanation:

Scale factor is image/preimage.

So from A to B, the image is B and the preimage is A, so the scale factor is 6/4 = 3/2.

Similarly, from B to A, the scale factor is 4/6=2/3

Answer:

11.72

Step-by-step explanation:

6.76 + 4.96 = 11.72