Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?

because 18 times 100 is equal to 5 times x, which means that x is equal to 36

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

because 18 times x is equal to 5 times 100, which means that x is equal to 36

because 18 times x is equal to 5 times 100, which means that x is equal to 360

Answer:

B. 9.66

Step-by-step explanation:

To find how high the kite is off the ground, we will follow the steps below;

we will use trigonometric ratio to solve the problem. That is;

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = opposite / hypotenuse

tanФ = opposite / adjacent

from the diagram below

Ф = 25°

opposite = x

adjacent = 10 feet

The best trig ratio to use is tan

we can now proceed to insert the values into the formula

tanФ = opposite / adjacent

tan 25° = [tex]\frac{x}{10}[/tex]

cross-multiply

x = 10 tan25°

x ≈4.66 feet

height of the kite off of the ground = x + height of Alice

                                                     =4.66 + 5

                                                     =9.66 feet

Therefore, the kite is 9.66 feet high off  of the ground

Answer:

The sine and cosine functions are similars in:

   They are periodic functions with a period of 2π.

   The domain of each function is (−∞,∞) and the range is [−1,1]. Both has maxima in 1 and a minimal in -1.

Answer:

36.78°

Step-by-step explanation:

Use the tangent equation to find the solution.

Tangent = opposite/adjacent

tanx° = [tex]\frac{300}{400}[/tex]

x ≈ 36.78°

Answer:

X=36.87°

Step-by-step explanation:

Tanx=opposite/adjacent

Tanx =300/400

Tanx=0.75

X=tan-¹(inverse)0.75

X=36.87°

Answer:

x = 9

Step-by-step explanation:

[tex]\frac{12}{8} = \frac{x}{6}[/tex]

x = [tex]\frac{12}{8}[/tex] x 6 = 9

the answer is 3628800    

The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.

This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.

To calculate 10!, use the following formula:

n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)

where n is the number to be taking the factorial of.

In this case, n = 10, so:

10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880

Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.

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Answer:

x = -8

Step-by-step explanation:

4 (x − 1) − 4 (x + 2.5) = x − 6

Distribute

4x -4 -4x -10 = x-6

Combine like terms

-14 = x-6

Add 6 to each side

-14+6 = x-6+6

-8 =x

Answer:

-8 =x

Step-by-step explanation:

4 (x − 1) − 4 (x + 2.5) = x − 6

4x -4 -4x -10 = x-6  (Distribute )

-14 = x-6  (Combine like terms )

-14+6 = x-6+6 (Add 6 to each side)

-8 =x

I hope this helps!

Answer:

60 miles; $30

Step-by-step explanation:

Given:

y = 0.25x + 15 ...........Eq1

y = 0.50x.............Eq2

Where, x = miles and y = Total cost of ranting

Find:

Total cost of ranting.

Computation:

From Eq1 and Eq2

0.25x + 15 = 0.50x

0.25x = 15

x = 15 / 0.25

x =  60 miles

From Eq 2

y = 0.50(60)

y = $30

Answer: $9.20

Step-by-step explanation:

Divide the full tax price by the sales tax (7% or .07) plus 1 (always add 1 to the tax) thus

$147.66 / 1.07 = $138.00

So $138.00 is the full price without tax.

Now divide $138.00 by the amount of tickets (15) to find a single ticket price before tax!

138.00/15 = $9.20

Remember to always add 1 to the tax percentage above when dividing to get the *pre-tax* price.

Answer:

1) 0.21

Step-by-step explanation:

This is because there are 4 bananas out of all 19 fruits. 4/19 is equal to 0.21052631578.

Answer:

y = -1.2x - 13.6

Step-by-step explanation:

1. rearrange original question to find the gradient.

2. substitute gradient and points into y - y1 = m (x - x1)

Answer:

y = -1.2x - 13.6

Step-by-step explanation:

1. rearrange original question

2. substitute points into y - y1 = m (x - x1)

Answer: 15

Step-by-step explanation:

If two points are together, then you subtract the numbers to get the distance

19 - 4 = 15

Answer:

500

Step-by-step explanation:

400 + 100 = 500

Answer:

500

Step-by-step explanation:

Ronald's number + 100 = Jasmine's number

400 + 100 = 500

Answer:

Hira

Step-by-step explanation:

They are going at the fastest speed as 9 is the most

Answer:

Hira

Step-by-step explanation:

Answer:

Just plug in 6 for a.

6 * 6² - 38 * 6 + 4 = -8.

Answer:

8

Step-by-step explanation:

(p*-5)-2=-42

-5p-2=-42

-5p=-42+2=-40

-5p/-5=-40/-5

=8

Answer:

[tex]\mathrm{Option \: C.}[/tex]

[tex]x \ne-3, \:4[/tex]

Step-by-step explanation:

[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]

[tex]\left(x+3\right)\left(x-4\right)=0[/tex]

[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]

[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]

Answer:

A

Step-by-step explanation:

took it on ap ex

The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The graphed function are shown in figure.

Now, All the points on the graph are,

⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)

Hence, The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

Thus, ''Option A'' is true.

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Answer:

B

Step-by-step explanation:

(5+7)/2 = 6

(4+2)/2 = 3

center = (6, 3)

diameter = √(5-7)²+(4-2)² = √8 = 2√2

radius is half diameter = √2

Equation for circle is (x-6)²+(y-3)²=2

Answer:

BC= 5.87 (nearest hundredth)

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

D. It assumes that all students taking geometry are in the 9th grade 

Step-by-step explanation:

[tex]answer \\ 33 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]

C. 33 marbles must be there in the sixth line.

There are 2 marbles in the 1st line, 3 marbles in the 2nd, 5 marbles in the 3rd and 9 marbles in the 4th.

The rule is " Every consecutive line has a number that is one less than twice the previous line ".

In 1st line , 2 marbles are there.

In 2nd line, (2×2)-1 = 3 marbles are there.

In 3rd line, (2×3)-1 = 5 marbles are there.

In 4th line, (2×5)-1 = 9 marbles are there.

In 5th line, (2×9)-1 = 17 marbles are there.

In 6th line, (2×17)-1 = 33 marbles are there.

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Answer:

Step-by-step explanation:

most probably secant

hope it helps

Answer:

A.

2a +b+3c =10

3a+2b+4c=14

4a+2b+6c=20  

Step-by-step explanation:

Hi, to answer this question we have to write a system of equation with the information given:

The price of each package will be equal to sum of the products of each vegetable (a,b or  c) and their respective amount :

So:

2a +1b+3c =10

3a+2b+4c=14

4a+2b+6c=20

The system is:

2a +b+3c =10

3a+2b+4c=14

4a+2b+6c=20  

(option A)

Feel free to ask for more if needed or if you did not understand something.

Answer:

380 days

Step-by-step explanation:

Problem in post:

The radius of the orbit of the planet is 59,000,000 km.

The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.

distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km

speed = 41,000 km/h

speed = distance/time

time * speed = distance

time = distance/speed

time = (370,707,933 km)/(41,000 km/h) = 9,042 hours

Now we convert hours into earth days.

1 earth day = 24 hours

9,042 hours * (1 day)/(24 hours) = 376.73 days

Answer: 380 days

Problem in comments:

Nina and Jo both ran an 8 km race.

Nina took 45 minutes to run the whole race.

Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.

If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Solution:

They met at 5 km. Let's find out how long it took Nina to run 5 km.

We can use a proportion.

(8 km)/(45 min) = (5 km)/(x)

x * 8 km = 45 min * 5 km

x = [(45 * 5)/8] min

x = 28.125 min

They met after Nina was running for 28.125 minutes.

Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.

speed = distance/time

speed = (5 km)/(24.125 min) * (60 min)/(1 hr)

speed = 12.43523 km/h

Answer: Jo's speed is 12.44 km/h

Answer:

(-3m)/n

Step-by-step explanation:

(m/n)(x)

For x = -3,

(m/n)(-3) =

-3(m/n) =

(-3m)/n

Our answer is fully simplified

Answer:

your answer is 1

Step-by-step explanation:

answer on edgen uity

Answer:

The last option

Step-by-step explanation:

Mainly because its not exactly word for word what was said but instead it was paraphrased and changed to still have the same information.

Answer:

[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]484=\pi d[/tex]

[tex]\frac{484}{\pi } =d[/tex]

[tex]d=154.06198[/tex]

[tex]A=\pi r^2[/tex]

[tex]\pi (\frac{d}{2}) ^2[/tex]

[tex]\pi (\frac{154.06198}{2}) ^2[/tex]

[tex]A=18641.49898[/tex]

Answer:

The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.

Step-by-step explanation:

Area=πr2

Circumference=2πr

Solving for Area

Area= C²/4 π = 484²/4·π ≈ 18641.50017

———————————————————————————

Circumference =2πr

Diameter= πr

Solving for Diameter

Diameter= C/π = 484/π≈ 154.06198

Answer:

[tex]Area=25\,\,in^2[/tex]

Step-by-step explanation:

The length of the rectangle is unknown and is defined with the letter "x". Notice that the width of the rectangle is also unknown, so we can name it 'y".

Recall the formula for the area of a rectangle (length times width), and notice that it is this quantity the one we need to maximize (find the maximum possible value).

We use the other information provided to represent the rectangle's with (y) in terms of "x" :

length + width = 10 inches

x + y = 10

Therefore,   y = 10 - x

Now we use this expression for "y" in the product for the area;

[tex]Area= x\,*\,y\\Area=x\,(10-x)\\Area=10x-x^2\\Area=-x^2+10x[/tex]

Notice that this quadratic expression corresponds to a parabola with branches pointing down (negative leading term), so its maximum value would be given at the vertex of the parabola.

Now recall that the formula for the x-value of a parabola's vertex when its function is of the form [tex]f(x)=ax^2+bx+c[/tex]

is given by:

[tex]x_{vertex}=-\frac{b}{2a}[/tex]

which in our case where "a" = -1 and "b" = +10, gives:

[tex]x_{vertex}=-\frac{b}{2a}\\x_{vertex}=\frac{-10}{2(-1)}\\x_{vertex}=\frac{-10}{-2}\\x_{vertex}=5[/tex]

Then the maximum value for the Area can be obtained by replacing "x" with "5" in the area formula:

[tex]Area=-x^2+10x\\Area=-(5)^2+10\,(5)\\Area=-25+50\\Area=25\,\,in^2[/tex]

Therefore, the area of the rectangle is [tex]25\,\,in^2[/tex]