cos^2x-sin^2x/sin^2x+sinxcosx=cotx-1

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:

5a²+22a+8

Step-by-step explanation:

(5a+2)(a+4)

5a² + 20a + 2a + 8

5a² + 22a + 8

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:

  yes

Step-by-step explanation:

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

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:

8p + 25b

Step-by-step explanation:

The expression of the word problem above can be written thus:

[tex]8p + 25b[/tex]

Answer:

292 in^2

Step-by-step explanation:

Area of the top and bottom combined is 2(14 inches)(5 inches)), or 140 in^2.

Area of the two ends, combined, is 2(4 inches)(5 inches)) = 40 in^2.

Are of the two sides, combined, is 2(14 inches)(4 inches)) = 112 in^2.

Summing up these three subtotals, we get the total area 292 in^2.

Answer:

⅓ remaining

Step-by-step explanation:

½ of 24 = 12

12 + 4 = 16 done

24 - 16 = 8

8/24 = 1/3

Answer:

1/3

Step-by-step explanation:

1) we have 24 problems

2) we finish half of them

What is half of 24?

It’s 12

So far, we have 12 problems to do

Then we finished 4 more problems so we can subtract 4 from 12

12-4=8

8 more problems left out of the 24 we had

8/24=1/3

1/3 of the 24 problems remain

Hope this helps!

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:

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:

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:

I got 3591.36 cubic inches

Step-by-step explanation:

Its wrong its wrong

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.

Answer:

$339.25

Step-by-step explanation:

Since the credit card customer owes $523.85 and is only able to make a payment of $184.50

Amount still owed

= $523.85 - $184.60

= $339.25

The customer still owes $339.25

Answer:

39.69 degrees

Step-by-step explanation:

Let

x ----> the measure of the angle

we have that

[tex]tan(X)=0.83[/tex]

using a calculator

[tex]m\angle X=tan^{-1}(0.83)=39.69^o[/tex]

Answer:

1.92

Step-by-step explanation:

9.6 divided by 5 = 1.92

Answer:

Distance = 63 km

Step-by-step explanation:

Speed = 90 km/h

Time = 42 mins

Time = 42 / 60 = 0.7 hrs

Distance = Speed × time

Distance = 90 km/h × 0.7 hr

Distance = 63 km

Answer:

q=4

Step-by-step explanation:

brainlest would be epic owo

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*q-11-(13)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  6q - 24  =   6 • (q - 4)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    q-4 = 0

Add  4  to both sides of the equation :

                     q = 4

Answer:

q=4

Step-by-step explanation:

6q-11=13    first you have to get all the like terms together so add 11 to both sides

6q=24             Now divide both sides by 6 so you just have q on one side

q=4

Answer:

264.06

Step-by-step explanation:

Answer:

264.06

Step-by-step explanation:

54% of 489

0.54 x 489=264.06

Answer:

adolescence

Step-by-step explanation:

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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Final answer:

Yes, there is a constant of variation in the given equation y = 26.2x. The constant of variation represents the rate at which the number of miles y increases for every marathon x completed by Conrad.

Explanation:

Yes, there is a constant of variation in the given equation y = 26.2x. A constant of variation is represented by the coefficient or the number multiplied by x in the equation, which in this case is 26.2. It represents the rate at which the number of miles y increases for every marathon x completed by Conrad. So, for every marathon Conrad runs, the number of miles he runs increases by 26.2.

Complete Question:

Option 1: $30 an hour plus a non-refundable deposit of $50.

Option 2: $20 an hour plus a non-refundable deposit of $75.

Kyle is renting a jetski for the day. If he can rent the jetski in 1-hour increments, what is the minimum number of hours must he rent the jetski for option 2 to be a better deal than option 1?

Answer:

Kyle must rent the jetski for three hours for option 2 to be a better deal than option 1

Solution:

Let "x" be the number of hours

Therefore,

Charge for option 1: 50 + 30x

For 1 hour,

Charge = 50 + 30(1) = 80

For 2 hours,

Charge = 30(2) + 50 = 110

For 3 hours,

Charge = 30(3) + 50 = 140

For 4 hours,

Charge =  30(4) + 50 = 160

Charge for option 2 : 75 + 20x

For 1 hour,

Charge = 20(1) + 75 = 95

For 2 hours ,

Charge = 20(2) + 75 = 115

For 3 hours,

Charge =  20(3) + 75 = 135

For 4 hours,

Charge =  20(4) + 75 = 155

For the first two hours , the charge of option 2 is more than the rent of option 1

From 3 hours, option 2 will be better deal than option 1

Answer:

pentagon

Step-by-step explanation:

In this problem we have a pentagonal prism

so

The solid has two pentagonal bases and five lateral rectangular faces

we know that

A plane parallel to the base of a pentagonal prism will intersect a cross section that is the same shape as its bases

so

The shape of the horizontal cross section of the given prism, is a pentagon

Answer: Pentagon

Step-by-step explanation:

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:

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

8a-5a=3a

Step-by-step explanation:

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

Answer:

Option A, Trapezoid

Step-by-step explanation:

Since there is two parallel sides and two nonparallel, that means it is a trapezoid.

Answer:  Option A, Trapezoid