In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.

write as an equation​

Answer:

144°

Step-by-step explanation:

Complement angles add up to 180°

Therefore.....

x=4(180-x)

x=720-4x

5x=720

x=144°

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of the given angle is 40.

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Let the given angle be represented by x.

Now, the complement of this angle will be,

Complement angle = (90 - x)

Further, it is given that 4 times the complement of this angle is equal to 200°. Therefore, we can write,

4(90 - x) = 200

360 - 4x = 200

-4x = -360 + 200

-4x = -160

x = -160 / -4

x = 40

Hence, the measure of the given angle is 40.

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Answer:

1001.66 in²

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Slant height (l) = 18 in

Diameter (d) = 22 in

Surface Area (SA) =.?

Next, we shall determine the radius of the cone. This can be obtained as follow:

Diameter (d) = 22 in

Radius (r) =.?

Radius = diameter /2

Radius = 22/2

Radius (r) = 11 in.

Finally, we determined the surface area of the cone as follow:

Pi (π) = 3.14

Slant height (l) = 18 in

Radius (r) = 11 in.

Surface Area (SA) =.?

SA = πr² + πrl

SA = (3.14 × 11²)+ (3.14 × 11 × 18)

SA = (3.14 × 121) + 621.72

SA = 379.94 + 621.72

SA = 1001.66 in²

Therefore, the surface area of the cone is 1001.66 in²

Answer:

The answer is

Step-by-step explanation:

The sequence above is a geometric sequence

For an nth term in a geometric sequence

[tex]A(n) = a ({r})^{n - 1} [/tex]

where n is the number of terms

r is the common ratio

a is the first term

From the question

a = - 16

To find the common ratio divide the previous term by the next term

That's

r = 24/-16 = -3/2 or -36/24 = - 3/2

Since we are finding the 8th term

n = 8

Substitute the values into the above formula

That's

We have the final answer as

Hope this helps you

Answer:

x = √11

Step-by-step explanation:

2x² - 1 = 21

add 1 to both sides

2x² - 1 + 1 = 21 + 1

simplify

2x² = 22

x² = 22 / 2

x = √11

Answer:

x = √11

Step-by-step explanation

2x² - 1 = 21

negative sign crossing an equal to sign becomes a positive sign

2x² - 1  = 21 + 1

2x² = 22

x² = 22 / 2

x = √11

Let's use a number line to help us visualize what's going on.

Starting at 0, +5 takes us 5 units to the right.

From there, -7 moves us 7 units back to the left and we end up at -2.

So (+5) + (-7) simplifies to -2.

Take a look at the image below.

Answer:

b. they have the same sides but different angles

Step-by-step explanation:

this answer makes the most sense

Answer:

C they have the same ratios for the sides

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Answer:

The equation which will give the value of x when solved is C. x + 20 = 120

x=100

Step-by-step explanation:

Total distance=120 miles

Distance covered=x miles

Distance remaining=20 miles

The equation is

Total distance=Distance covered + distance remaining

120 miles= x miles + 20 miles

120 miles - 20 miles = x miles

100 miles =x miles

Check:

Total distance=Distance covered + distance remaining

120 miles = 100 miles + 20 miles

120 miles =120 miles

The equation which will give the value of x when solved is C. x+20=120

Answer:

Rational

Step-by-step explanation:

Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.

Example: 34 (rational) 23 (rational)

34 - 23 = 11 (rational)

Answer:

A

Step-by-step explanation:

We can break down what each term represents in the equation

60 is the constant. This is the base price that is paid regardless of workers and hours needed

Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.

The most accurate answer is A

Answer:

C.

Step-by-step explanation:

When you replace x by x - h, the graph is shifted h units horizontally.

Here, x is replaced by x - 6.

x - h = x - 6

h = 6

6 is positive, so the shift is 6 units to the right.

Answer: C.

Answer:

1

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

x² + 11x + (121/4) = 125/4

Simplify the equation, then the equation will be

4x² + 44x + 121 = 125

4x² + 44x + 121 - 125 = 0

4x² + 44x - 4 = 0

x² + 11x - 1 = 0

We know that the formula, then we have

[tex]\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}[/tex]

The value of a = 1, b = 11, and c = -1. Then we have

[tex]\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }[/tex]

Simplify the equation, then we have

x = (- 11 ± 11.18) / 2

x = (-11 - 11.18) / 2, (-11 + 11.18) / 2

x = -11.09, 0.09

The solution of the equation will be 0.09 and negative 11.09.

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Answer:

4¹⁸

Step-by-step explanation:

(4⁻³)⁻⁶

= 4⁽⁻³⁾⁽⁻⁶⁾

= 4¹⁸

Answer:

[tex]\large \boxed{4^{18}}[/tex]

Step-by-step explanation:

When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.

[tex](4^{-3})^{-6}[/tex]

[tex]4^{-3 \times -6}[/tex]

[tex]4^{18}[/tex]

Answer:

The answer is

Step-by-step explanation:

9(p-4)=-18

First expand the terms in the bracket

that's

9p - 36 = - 18

Group like terms

Send the constants to the right side of the equation

That's

9p = - 18 + 36

9p = 18

Divide both sides by 9

That's

9p/9 = 18/9

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex] \mathsf{9(p - 4) = - 18}[/tex]

Distribute 9 through the parentheses

[tex] \mathsf{9p - 36 = - 18}[/tex]

Move constant to R.H.S and change it's sign

[tex] \mathsf{9p = - 18 + 36}[/tex]

Calculate

[tex] \mathsf{9p = 18}[/tex]

Divide both sides of the equation by 9

[tex] \mathsf{ \frac{9p}{9} = \frac{18}{9} }[/tex]

Calculate

[tex] \mathsf{p = 2}[/tex]

[tex] \mathcal{Hope \: I \: helped}[/tex]

[tex] \mathcal{Best \: regards}[/tex]

Answer:

$1.89

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts

1 gallon = 8 pints

2 gallons = 16 pints

Divide the cost of the fabric softener by 16 to find the price per pint.

$30.24/16 = $1.89

The fabric softener costs $1.89 per pint.

Answer:

$1.89

Step-by-step explanation:

one gallon= 8 pints

two gallons= 16 pints

Therefore, we divide 16 from $30.24

30.24/16= $1.89

Hopefully this answer helps!

Answer:

960

Step-by-step explanation:

3 * 320 = 960

Udin memiliki, secara total, 960 ikan hias

(Udin has, in total, 960 ornamental fish)

Answer: x=-22

Step-by-step explanation:

    6x-4=-26+5x

6x-4-5x=-26+5x-5x ⇔ subtraction property of equality

       x-4=-26

  x-4+4=-26+4 ⇔ addition property of equality

         x=-22

Answer:

Step-by-step explanation:

6x - 4 = - 26 + 5x

First of all group like terms

Send the constants to the right side of the equation and those with variables to the left

That's

6x - 5x = 4 - 26

Simplify

We have the final answer as

Hope this helps you

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

[tex]\dfrac{5\cdot10^6}{5\cdot10^4}=10^{6-4}=10^2=100[/tex]

Answer:

100 times more

Step-by-step explanation:

5*10^4 over 5*10^6 is 1/100

Answer:

The answer is (3×7) + (12×2) .

[tex](3 \times 7) + (12 \times 2)[/tex]

[tex] = 21 + 24[/tex]

[tex] = 45[/tex]

Answer:

8 - 14s + 3g

Step-by-step explanation:

None of the terms are like terms so it cannot be simplified

8 is a constant

-14 and 3 are coefficients

s and g are variables

━━━━━━━☆☆━━━━━━━

▹ Answer

8 - 14s + 3g

▹ Step-by-Step Explanation

Since we can't combine like terms, the answer will remain the same as the problem:

8 - 14s + 3g

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: 60

Step-by-step explanation:

So easy so the n is 9 so 9 plus 1 is 10 6(10) then multiply so 60

Answer:

The 12th term is 61

Step-by-step explanation:

I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).

To find the 12th term, substitute 12 for n in the above formula:

a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61

The 12th term is 61

Answer:

61

Step-by-step explanation:

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So the lion weighs more than the ant right?

And we wish to figure out how much greater the lion's weight is compared to the ant's weight.

So only thing we have to do is divide.

[tex]\frac{1 * 10^5}{2*10^-3} = \frac{10^5}{2*10^-3} = \frac{10^8}{2} = 50000000 = 5 * 10^7[/tex]

Answer:

5×10^7

Step-by-step explanation:

2×10^-3    1×10^5

(1×10^5)/(2×10^-3)=

5×10^7

to scheck :(2*10^-3)(5*10^7)=(1*10^5)

Answer:

39 hours

Step-by-step explanation:

First, let's find the rate of money per hour:

$554.30 / 23 hour

= $24.1 / 1 hour

Daniel earns $24.10 every hour he works.

To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:

$939.90 / 24.10

= 39

Now, we can check:

$24.10 * 39

= $939.90

Hope this helps!  Please tell me if I was incorrect!

Answer:

see explanation

Step-by-step explanation:

Since the player was sold for less than what was paid then a loss is made.

loss = 3500 - 2500 = 1000

percent loss = [tex]\frac{loss}{cost}[/tex] × 100% , thus

percent loss = [tex]\frac{1000}{3500}[/tex] × 100% ≈ 28.6% ( to 1 dec. place )

Answer:

(–81, 9), (–36, 6), (–1, 1) are the correct three points.

Step-by-step explanation:

Given the function:

[tex]f(x) =\sqrt x[/tex]

Please refer to the attached image.

The green line shows the graph of actual function.

It is reflected over y axis.

The reflected graph is shown in black color in attached image.

When reflected over y axis, the sign of variable [tex]x[/tex] changes from Positive to Negative.

So, the resultant function becomes:

[tex]f(x)=\sqrt{-x}[/tex]

i.e. we will have to give the values of x as negative now.

so, the options in which value of x is negative are the possible answers only.

The possible answers are:

(–81, 9), (–36, 6), (–1, 1) and

(–49, 7), (–18, 9), (–1, 1)

Now, we will check the square root function condition.

In the 2nd option, (–18, 9) does not satisfy the condition.

So, the correct answer is:

(–81, 9), (–36, 6), (–1, 1)

Answer:

A on E2020

Step-by-step explanation:

:)

Answer

5/6 maybe

Step-by-step explanation:

Answer:

7/2 pi

or approximately 10.99557429

Step-by-step explanation:

2 pi sqrt( a/b)

let a = 49 and b = 16

2 pi sqrt( 49/16)

We know that sqrt( a/b) = sqrt(a) /sqrt(b)

2 pi sqrt(49) / sqrt(16)

2pi ( 7) / (16)

2 pi ( 7/4)

7/2 pi

This is the exact answer

We can make an approximation for pi

Using the pi button on the calculator

10.99557429