Perform the indicated equation ​

Usando proporciones, hay que la pangea tardra aproximademente 20,116,750 años para fragmentar-se.

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

La deriva continental es del orden de 4 cm al año. La distancia actual entre Sudamérica y África es de 5000 millas. En cm, esta distancia es la seguiente:

5000 millas = 5000 x 160934 cm = 80,467,000 cm.

Asi, el tiempo que levará para la pangea fragmentar-se es:

t = 80,467,000/4 = 20,116,750 años

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The value of x in terms of l is.

[tex]x=\sqrt{5l^{2} }[/tex]

A fundamental relationship in Euclidean geometry between  a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

length = [tex]l[/tex]

width= [tex]2l[/tex]

diagonal = [tex]x[/tex]

We would get a right angle triangle if we were to cut a part across the diagonal. The Pythagoras Theorem can be used to solve the right angle triangle.

[tex]x^{2} =a^{2} +b^{2}[/tex]

using this formula substituting the value:

[tex]x^{2} =l^{2} +2l^{2}[/tex]

[tex]x^{2} =l^{2} +4l^{2} \\x^{2} =5l^{2} \\x=\sqrt{5l^{2}} \\[/tex]

from the above calculation we have:

[tex]x=\sqrt{5l^{2} }[/tex]

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Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.

The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

Answer:

6

10

8

Step-by-step explanation:

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

Answer:

The answer is A) He has the side lengths in the wrong place in the cosine ratio.

Answer:

A. He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:

got it right on edge23

These are the effect on the PPC

1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.

According to the statement

we have given the some conditions and we have to match the each scenario with the effect of the PPC.

So, The given effect on the tiles are Tiles

- the PPC shifts to the right

- the PPC shifts to the left

- a point on the original PPC

- a point inside the PPC

- a point outside the PPC

And we have to join it with its pairs.

So,

First :

A manufacturing unit uses all its resources efficiently = A point on the original PPC

Second :

Andrew has 5 hours to complete his homework but uses only 3 hours, so he doesn’t complete it. = The PPC shifts to the left

Third :

A country acquires part of its neighboring country = The PPC shifts to the right

These are the conditions that satisfy the effect of PPC.

So, These are the effect on the PPC

1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Match each scenario with its effect on the PPC.

Tiles

- the PPC shifts to the right

- the PPC shifts to the left

- a point on the original PPC

- a point inside the PPC

- a point outside the PPC

Pairs

- A manufacturing unit uses all its

resources efficiently.

- Andrew has 5 hours to complete his

homework but uses only 3 hours, so

he doesn’t complete it.

- A country acquires part of its neighboring

country.

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^it doesn't need to be this complicated

The probability that all of the cards drawn are red is 0.0253.

A standard deck of playing cards has 52 cards.

Of the 52 cards, 26 of the cards are red cards.

When we draw the first card, the probability of getting red is 26/52.

When we draw the second card, the probability of getting red is 25/51.

When we draw the third card, the probability of getting red is 24/50.

When we draw the fourth card, the probability of getting red is 23/49.

When we draw the fifth card, the probability of getting red is 22/48.

Therefore, the probability of drawing 5 red cards without replacement is

= [tex]\frac{26}{52}* \frac{25}{51}* \frac{24}{50} *\frac{23}{49}* \frac{22}{48}[/tex]

= 26*25*24*23*22/52*51*50*49*48

= 0.0253

Therefore, we have found that the probability that all cards drawn are red is 0.0253.

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Answer:

Step-by-step explanation:

Trigonometry is a branch of mathematics that relates the measures of sides and angles in a triangle. The various trig functions of an angle are defined in terms of the sides of a right triangle containing that angle. Consequently, the Pythagorean theorem can be used to relate certain trig functions to each other, and to obtain formulas for the sum and difference of angles.

The Pythagorean theorem relates side measures in right triangles. For relating side measures to each other or to angles in non-right triangles, one or both of the Law of Sines and the Law of Cosines must be used.

  both b) and c)

The Law of Sines relates side lengths and the sines of angles. Knowing three side lengths tells you nothing about the angles except the ratio of their sines.

The Law of Cosines relates three side lengths and one angle. Knowing the three side lengths, the angle measure can be found.

There is no Tangent Law.

Trigonometry is a calculation tool, not a measuring tool. As such, it allows calculation of angles and sides (of a triangle) that cannot be physically measured.

Paintings benefit greatly from rules of proportion and perspective. In general, trigonometry is not directly involved. (Computer-generated art may implement these rules of perspective using trigonometry. Paintings, in general, make no direct use of trigonometry.)

$6.12

A percentage is some portion of a whole number. Multiple methods can be used to find percentages.

Multiplication to Find Percentages

One of the easiest ways to find percentages is to multiply the original number by a decimal. To do this, one first needs to turn the percentage into a decimal.

For example,

To convert a percentage to a decimal, just move the decimal point 2 places to the left.

Then, multiply this decimal by the whole number, and the answer, in this case, will be the tip.

19% of $32.20

Now, to solve we can just multiply.

The exact answer is 6.118. However, since we are using money, we are going to round to the nearest hundredth place. This gives the final answer of $6.12.

He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

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The ratio of distance travelled by walking to distance travelled by bus is 1 : 6.

When two quantities of the same units are compared, the ratio is what shows how much of one quantity is included in the other.

Total no. of Feet in a Mile = 5280

Distance Gary walked to the bus stop = 220 feet

Distance travelled by bus = 1/4 mile = (1 / 4)*5280 = 1320 feet

Ratio of distance walking to distance by bus = 220 / 1320 = 1 : 6

Hence, the ratio of distance travelled by walking to distance travelled by bus is 1 : 6.

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Answer:

Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48

fourth 48 + 48=96

 fifth 96+96=192

sixth  192+192=384

seventh 384+384=768

last but not least 768+768 = 1536

so your answer is 1,536

Answer:

Ans: (4,-1)

Step-by-step explanation:

Lets keep:

2x+y=7 --- equation 1

x - 2y=6 ----- equation 2

equation 2 x 2: 2x - 4y=12 -------equation 3

now subtract equation 1 from equation 3

  2x - 4y = 12

(-) 2x + y = 7

----> -5y = 5 [ Divide both sides by -5 ]

------> y= -1

Substitute y= -1 into eqaution 1

----> 2x + -1 = 7 [ add 1 to both side]

----> 2x = 8 [Divide by 2 on both sids]

----> x=4

Ans: (4,-1)

Jim has to travel 26.82 miles more to reach Denver.

What is the equation of a line?

Let the first point be = (x₁ , y₁)

Let the second point be = (x₂ , y₂)

m(slope) = (y₂ - y₁) / (x₂ - x₁)

Equation of line = (y - y₁) = m(x - x₁)

Let the no. of miles be plotted on X-axis

Let the driving time be plotted on Y-axis

First point = (61 , 41)

Second point = (42.3 , 63)

Slope of the linear function = (63 - 41)/(42.3 - 61) = -1.17

Equation of the line = (y - 41) = -1.17(x - 61)

Given time of driving = 81 min

Number of miles = (81 - 41) = -1.17(x - 61)

40/-1.17 = x - 61

-34.18 + 61 = x

x = 26.82

Hence, Jim has to travel 26.82 miles more to reach Denver.

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The statements that are true based on the midpoint given in the question include:

In geometry, the midpoint simply means the middle point of a line segment. The midpoint is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Also, it should be noted that the midpoint bisects the segment.

In this case, m∠P + m∠Q + m∠R = 180°. This is because the sum of the angles in a triangle will be equal to 180°. Also, PT, QU, and RS intersect at the same point.

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Complete question:

Label the midpoint of PQ as point S, the midpoint of QR as point T, and the midpoint of RP as point U.

Next, draw PT, QU, and RS.

Which statements are true?

m∠Q = m∠R

The length of QU is half the length of RP.

m∠P + m∠Q + m∠R = 180°

QU ≅ RS

PT, QU, and RS intersect at the same point.

The sum of the lengths of QU and RS is equal to the length of PT.

The values of the triangles are as follows:

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

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The probability that the first winner randomly selects the card for the pizza topped with ham, artichoke hearts, and pepperoni is 1/560 given that there are 16 toppings to choose from. This can be obtained by finding the total number of all possible three-topping pizzas (3 distinct toppings) using combination formula and finding the probability.

Given that there are 16 toppings,

the total number of all possible three-topping pizzas,

ⁿCₓ = [tex]\frac{n!}{x!(n-x)!}[/tex] = 16!/[3!(16-3)!] = 16!/[3!(13)!] = 14×15×16/3×2 =560

Probability of choosing pizza topped with ham, artichoke hearts, and pepperoni,

P(ham, artichoke hearts, pepperoni) = 1/560

Hence the probability that the first winner randomly selects the card for the pizza topped with ham, artichoke hearts, and pepperoni is 1/560 given that there are 16 toppings to choose from.

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The smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

The given number is 29160

Note that:

29160 can be factored into 5832

That is, 29160 = 5832 x 5

Take the cube of 5832:

[tex]\sqrt[3]{5832}=18[/tex]

Since it has been confirmed that 5832 is a perfect cube, the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

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The measure of each angle formed by the place where the median meets the vertex is 30 degrees

The median of an equilateral triangle divides the side and the angle into equal parts.

If the angle at the vertex is, the new angle would be

Angle = x/2

The angle at the vertex of an equilateral triangle is 60.

So, we have:

Angle = 60/2

Evaluate

Angle = 30

Hence, the measure of each angle formed by the place where the median meets the vertex is 30 degrees

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Hi! ❄

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

There are really two ways to solve this problem. One of them is the slope formula. You can familiarise yourself with this formula

[tex]\sf{\dfrac{y2-y1}{x2-x1}}[/tex]

SUBSTITUTE the values

[tex]\sf{\dfrac{-13-8}{17-17}}[/tex]

[tex]\sf{\dfrac{-21}{\bf{0}}[/tex] (notice the zero was in bold-face)

Dividing by zero is an operation we cannot do.

So the slope of this particular line is not defined.

The other way is looking at the first co-ordinates of the points given

Notice that they are exactly the same. Whenever that happens, the slope of that line is not defined.

Hope that made sense !!

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

[tex]\star\tiny\pmb{\tt{calligraphy}}\star[/tex]

[tex]4x - 7x - 4x + 7 \sqrt{x} + \sqrt{x} [/tex]

[tex] - 7x + 8 \sqrt{x} [/tex]

The process is Capable.

According to statement

When the mean and standard deviation of the process are operating such that the upper and lower control limits are acceptable relative to the upper and lower specification limits

and when these conditions are fulfilled then the process is to be called CAPABLE.

So, The process is Capable.

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Answer:

a h>155 or h<190

Step-by-step explanation:

The height of the shortest student is 155 cm and the height of the tallest student is 190 cm, then the inequality shows the range is 155 ≤ h ≤ 190. Hence, option B is correct.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the provided data in the question,

The height of the shortest student is 155 cm and,

The height of the tallest student is 190 cm.

It means that the height rage is starting from 155 cm and ending at 190 cm.

The shortest height should be at least equal to 155 cm and the greater height is maximum 190 cm.

Therefore, the inequality according to this is 155 ≤ h ≤ 190.

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Answer:

A) 1/9, 3, 27

Step-by-step explanation:

i think you mean 3^x (and not 3x).

because otherwise none of the answer options withdraw makes any sense.

3^-2 = 1/(3²) = 1/9

3¹ = 3

3³ = 27

Answer:

y = 9.84 mm

Step-by-step explanation:

Law of sine:

   [tex]\sf \boxed{\bf \dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B}= \dfrac{c}{Sin \ C}}[/tex]

    a = y

    A = 31°

   b  = 17 mm

    B = 117°

[tex]\sf \dfrac{y}{Sin \ 31^\circ}=\dfrac{17}{Sin \ 117^\circ}\\\\[/tex]

          [tex]\sf y = \dfrac{17}{Sin \ 117^\circ}*Sin \ 31^\circ\\\\ y = \dfrac{17}{0.89}*0.515\\\\y = 9.84 \ mm[/tex]

Answer:

The answer to our question is A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

I hope this helps and have a good day!

The number of three digit numbers which use only the digits 0,1, and 5 is; 18.

Since, it follows from the task content that three digit numbers are to be considered, Hence, it follows that the choice for the first digit is between 1 and 5, for the second number and third number, the choice lies within all three numbers.

On this note, we have;

= 2× 3 × 3.

= 18.

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The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.

Outliers are data point that appears extreme from other data values of a data distribution. When there is an outlier in a data distribution, the median is a better measure of center, while the mean is best when outliers are absent.

From the data distribution for both bakeries, no data seem extreme from the rest of the data, therefore, the mean is a better measure of center.

The answer is: A. Mean, because there are no outliers to affect the data.

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