Analyze the diagram below and complete the instructions that follow.
Find cos (0)

Please select the best answer from the choices provided

A. DF/DF
B. DF/EF
C. EF/DF
D. DE/DF

Option B: [tex]x=\frac{8}{3}[/tex] is the solution

Explanation:

The given expression is [tex]\log _{2} 9 x-\log _{2} 3=3[/tex]  

We need to determine the solution for the given expression.

The solution can be determined by solving the expression for x.

Adding [tex]\log _{2} 3[/tex] to both sides of the expression, we have,

[tex]\log _{2}9 x=3+\log _{2}3[/tex]

Using the logarithmic definition that if [tex]\log _{a}(b)=c[/tex] then [tex]b=a^{c}[/tex]

Thus, we have,

[tex]9 x=2^{3+\log _{2}3}[/tex]

[tex]9 x=2^{3}\cdot 2^{\log _{2}3}[/tex]

Simplifying, using the identity [tex]a^{\log _{a}(b)}=b[/tex], we have,

[tex]9 x=8\cdot 3[/tex]

Multiplying, we get,

[tex]9x=24[/tex]

Dividing both sides by 9, we have,

[tex]x=\frac{24}{9}[/tex]

Simplifying, we have,

[tex]x=\frac{8}{3}[/tex]

Thus, the solution of the expression is [tex]x=\frac{8}{3}[/tex]

Answer:

B. x = eight-thirds

Step-by-step explanation:

edge 2021 ;)

Answer:

264.06

Step-by-step explanation:

Answer:

264.06

Step-by-step explanation:

54% of 489

0.54 x 489=264.06

Answer:

  yes

Step-by-step explanation:

Any ratio of two integers is a rational number, as long as the denominator is not zero.

Answer:

Jen has 12 stamps.

Step-by-step explanation:

Answer: Jen has 27 stamps

Step-by-step explanation:

Let the number of stamps Jack has be y.

Since Jen has 3times of Jack stamps, Jack's stamp is 3×y which is 3y.

Jack's stamp+Jen's stamp= 36

y+3y = 36

4y = 36

y = 9

So Jack has 9 stamps and Jen has 9×3 which is 27 stamps.

Answer:

B) x < 7

Step-by-step explanation:

−8x + 40 > −16

Subtract 40 from each side

−8x + 40-40 > −16-40

-8x > -56

Divide each side by -8, remembering to flip the inequality

-8x/-8 < -56/-8

x <7

Answer:

h = S - 2πr²     /2πr

Step-by-step explanation:

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

To solve;

S = 2πrh + 2πr²

The first thing to do is to subtract 2πr²  from both-side of the equation

S - 2πr²  =   2πrh  +  2πr² - 2πr²

S - 2πr²  =   2πrh

Then next is to divide both-side of the equation by 2πr

S - 2πr²  /  2πr  =  2πrh /2πr

On the right-hand side of the equation 2πr at the numerator will cancel-out 2πr at the denominator, leaving us with just h  while on the left-hand side of the equation S-2πr² will be divided by 2πr)

S - 2πr²  /  2πr     =      h

Therefore the result should be h = S - 2πr²  /  2πr

Answer:

A) [tex]h =\frac{s}{2\pi r} -r[/tex]

Step-by-step explanation:

[tex]s = 2\pi rh + 2\pi r^2[/tex]

[tex]s = 2\pi r (h + r)\\h + r =\frac{s}{2\pi r} \\h =\frac{s}{2\pi r} -r[/tex]

Answer:

The Answer is (A).

Step-by-step explanation:

hope this helps chu :)

Answer:

Its A

Step-by-step explanation:

I did the test! Hope this helps<3

Answer 13-6=7

Step-by-step explanation:

The given expression indicates a difference of six and an unknown number equals to seven. To solve, we isolate the unknown number by adding six to both sides of the equation. Thus, the unknown number is 13.

The question states that 'The difference of a number and six is seven.' To find out the number, we can set up the following equation where x represents our unknown number:

x - 6 = 7

To solve for x, we can add 6 to both sides of the equation, which balances it rendering the final result:

x = 7 + 6

Finally, adding 7 and 6, we find that x = 13. The number we are seeking is 13.

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Answer:

Teo's rectangle has the greater area.

Step-by-step explanation:

Since a rectangle has the same opposite sides of parallel sides, you need to add or multiply 9 times 9 or 9 + 9 and 5 times 5 or 5 + 5. 9 x 9 or 9 + 9 equals 18, and 5 + 5 or 5 x 5 equals 10. Then, 18 and 10 is to be added. 18 + 10 is 28. So, that means Teo's rectangle has the greater area because, 28 is less than 36.

To compare the areas of the rectangles, calculate the area of each rectangle. Ryan's rectangle has a greater area of 45 square feet compared to Teo's rectangle which has an area of 36 square feet.

To compare the areas of the two rectangles, we need to calculate the area of each rectangle. The area of a rectangle is found by multiplying its length by its width. For Ryan's rectangle, the length is 9 feet and the width is 5 feet, so the area is 9 feet × 5 feet = 45 square feet. For Teo's rectangle, we are given that the area is 36 square feet. Since 45 is greater than 36, Ryan's rectangle has the greater area.

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Answer:

2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2

The value of the constant in the equation that relates the height and width of the rectangle is 2

The given expression is:

H(w)  =  constant  x  w

where w represents the width

H represents the height

The point (w,  H) is given as (10, 20)

That is:

w  =  10,   H  = 20

Substitute w = 10 and H = 20 into the equation H(w) = constant x w

20   =   constant  x  10

constant =  20/10

constant  =  2

Therefore, the value of the constant in the equation that relates the height and width of the rectangle is 2

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Answer:

1.92

Step-by-step explanation:

9.6 divided by 5 = 1.92

Answer:

14 dollars.. hope it helps!

Step-by-step explanation:

7+5+1+1=14

Final answer:

Evelyn initially has $7, and after Liz gives her a $5 bill and two $1 bills, Evelyn's total money becomes $14.

Explanation:

The question asks us to calculate how much money Evelyn has after Liz gives her additional cash. Initially, Evelyn has $7. Liz gives her one $5 bill and two $1 bills. To find out the total amount of money Evelyn has now, we simply need to add the amounts together:

Original amount Evelyn has: $7
Liz gives her: 1 x $5 bill = $5
Plus: 2 x $1 bills = $2
Total amount after receiving money from Liz: $7 + $5 + $2 = $14

Therefore, Evelyn now has a total of $14.

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{14}{x}[/tex] = [tex]\frac{56}{16}[/tex] ( cross- multiply )

56x = 14 × 16 = 224 ( divide both sides by 56 )

x = 4

Answer:

1-10m/s

2-20m/s

3-5/m/s

4-5m/s

5-1500m/s

Step-by-step explanation:

using formula of speed i.e. speed=distance/time or v=s/t. solve for all five cases.

we get,

1- v=s/t=600/60 =10m/s

2- v=s/t=100/5 =20m/s

3- v=s/t =400/80=5m/s

4-v=s/t=2500/500=5m/s

5-v=s/t=3000/2=1500m/s

1. The average speed of a car that travels 600m in 60 seconds is 10 m/s

2. he average speed of a cyclist who travels 100m in 5 seconds is 20 m/s

3. The average speed of a train that travels 4000m in 80 seconds is 50 m/s

4. The average speed of a bus that travels 2500m in 500 seconds is 5 m/s

5. The average speed of a bus that travels 2500m in 500 seconds is 1500 m/s.

To calculate the average speed, we use the following formula:

Average speed = Distance / Time

1. Average speed of a car that travels 600m in 60 seconds:

Average speed = 600m / 60s = 10 m/s

2. Average speed of a cyclist who travels 100m in 5 seconds:

Average speed = 100m / 5s = 20 m/s

3. Average speed of a train that travels 4000m in 80 seconds:

Average speed = 4000m / 80s = 50 m/s

4. Average speed of a bus that travels 2500m in 500 seconds:

Average speed = 2500m / 500s = 5 m/s

5. Average speed of a rocket that travels 3000m in 2 seconds:

Average speed = 3000m / 2s = 1500 m/s

Please note that the unit of speed can vary depending on the context. For example, we can express speed in meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).

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Answer:

y= 3x + 1

Step-by-step explanation:

For Plato

Difference between the lengths of walking stick and lengths of bumble bee is [tex]3\frac{4}{8}[/tex] inch.

Solution:

Given data represents the length of the insects.

Length of the walking stick = 4 in

Length of the bumble bee = [tex]\frac{5}{8}[/tex] in

Difference between their length

                                        [tex]$=4-\frac{5}{8}[/tex]

                                        [tex]$=\frac{4}{1} -\frac{5}{8}[/tex]

To make the denominator same, multiply and divide the first term by 8.

                                        [tex]$=\frac{32}{8} -\frac{5}{8}[/tex]

                                        [tex]$=\frac{32-5}{8}[/tex]

                                        [tex]$=\frac{27}{8}[/tex]

Now, change improper fraction into mixed fraction, we get

                                         [tex]$=3\frac{4}{8}[/tex]

Difference between the lengths of walking stick and lengths of bumble bee is [tex]3\frac{4}{8}[/tex] inch.

The length of the minor axis is 4

Step-by-step explanation:

Step 1 :

The given equation  is  [tex]\frac{(x-3)^{2}}{64} + \frac{(y-7)^{2}}{4} = 1[/tex]

Here we see the denominator below the variable x is greater than below y. Hence the ellipse's major axis and the minor axis are parallel to x-axis  and  y-axis respectively

Step 2 :

The square of the semi minor axis will be the denominator of the y variable. So in the given ellipse ,

the square of the semi minor axis = 4

Hence the length of the semi minor axis  = [tex]\sqrt{4}[/tex]  = 2

Step 3 :

The length of the minor axis = 2 times the length of the semi minor axis

                                               = 2 × 2 = 4

Answer :

The length of the minor axis is 4

Final answer:

The length of the minor axis of the given ellipse is 4 units, as the semi-minor axis length is derived from the square root of the denominator of the y-term in the ellipse equation. The correct option is B.

Explanation:

The minor axis of an ellipse is the shortest diameter of the ellipse, and it runs perpendicular to the major axis. In the given equation of the ellipse, (x+3)²/64 + (y-7)²/4=1, the denominators of the fractions correspond to the squares of the semi-axes lengths. Therefore, the length of the semi-minor axis 'b' is the square root of 4, which is 2. Since the minor axis is twice the length of the semi-minor axis, we must multiply 2 by 2 to get the length of the minor axis, which is 4.

So the correct answer for the length of the minor axis for the given ellipse is 4 units, which corresponds to option B.

Answer:

Multiply by 2 and subtract 1

Step-by-step explanation:

If we consider the sequence term by term

n = 2 → 2(2) - 1 = 4 - 1 = 3 ← the second term

n = 3 → 3(2) - 1 = 6 - 1 = 5 ← the third term

n = 5 →  5(2) - 1 = 10 - 1 = 9 ← the fourth term

n = 9 → 9(2) - 1 = 18 - 1 = 17 ← the fifth term

Answer:

C. Multiply by 2 and subtract 1.

Step-by-step explanation:

2 × 2 = 4. 4 - 1 = 3

3 × 2 = 6. 6 - 1 = 5

5 × 2 = 10. 10 - 1 = 9

9 × 2 = 18. 18 - 1 = 17

Answer:

No

Step-by-step explanation:

This is not an integer because integers can be positive or negative but never decimals or fractions.

Answer:No

Integers are whole numbers.

Answer:

The length of the radius of the circle is 7 mm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If HK is tangent to circle O at point K

then

The radius OK is perpendicular to segment HK and triangle OKH is a right triangle

Applying the Pythagorean Theorem

[tex]OH^2=OK^2+HK^2[/tex]

we have

[tex]OH=(r+18)\ mm\\OK=r\ mm\\HK=24\ mm[/tex]

substitute

[tex](r+18)^2=r^2+24^2[/tex]

solve for r

[tex]r^2+36r+324=r^2+576[/tex]

[tex]36r=576-324\\36r=252\\r=7\ mm[/tex]

therefore

The length of the radius of the circle is 7 mm

Answer:

[tex]y = \frac{32}{4} = 8[/tex]

Answer:

0.7499 miles per minute

Step-by-step explanation:

Google "what is 45 mph to minutes"

Answer:

0.7499

Step-by-step explanation:

45 miles per hour

this equals 45/60 miles per minute

which then equals 0.7499

Answer:

The range is 4

Step-by-step explanation:

To find the range, you subtract the lowest number from the highest number.

Example:  If the set was:  1, 2, 6, 6, 8, 10

What is the highest number:  10

What is the lowest number: 1

You will do this -> 10 - 1 = 9

Problem:  8, 9, 9, 8, 8, 5, 8​

What is the highest number:  9

What is the lowest number:  5

9 - 5 = 4

Answer:  The range is 4

Answer:

8a-5a=3a

Step-by-step explanation:

8-5=3, basically simple subtraction, just bring the variable to the other side.

Answer:

C. As the air is heated, it becomes less dense and the balloon rises.

Step-by-step explanation:

A is wrong. The denser cold air would cause the balloon to drop.

B is wrong. As the air is cooled, it becomes less dense.

Answer:

adolescence

Step-by-step explanation:

Answer:

370 millimeters

Step-by-step explanation:

Have a nice day :)

Step-by-step explanation:

1 cm = 1 millimeters

[tex] \therefore \: 37 \: cm \: = 37 \times 10 = 370 \: mm[/tex]

Answer: I would develop a savings plan with my parents. Then I would research what scholarships and grants were available. I would wait until I was ready to attend college before filling out the FAFSA. Finally, I would review the results from the FAFSA and determine the best financial aid options.

Step-by-step explanation:

Answer:

i dont want to go and noone can make me

Step-by-step explanation:

[tex]\bf \textit{arc's length}\\\\ s = \cfrac{\pi r\theta }{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=27\\ \theta =32 \end{cases}\implies s = \cfrac{\pi (27)(32)}{180} \\\\\\ s = \cfrac{24\pi }{5}\implies s\approx 15.08[/tex]