19. What was done to overcome the problem of the MSL landing?
O More airbags were used
O A pulley system was created
O A parachute was used
0 A tether and roper were used

HELP PLS ASAP

The length of segment AB is given as follows:

AB = 20 units.

Similar triangles are triangles that share these two features given as follows:

The similar triangles for this problem are given as follows:

ABD and CDE.

Hence the proportional relationship that can be established between the side lengths is given as follows:

AB/DE = BC/CD = AC/CE.

The side lengths are given as follows:

CD = 3, CE = 5, DE = 4, DB = 18.

As CD = 3 and DB = 18, using the segment addition postulate, we have that:

BC = BD - CB

BC = 18 - 3

BC = 15 units.

Hence the length AB is obtained as follows:

AB/4 = 15/3

AB/4 = 5

Applying cross multiplication, we have that:

AB = 4 x 5

AB = 20 units.

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Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

♡ The first answer is correct

♡ Please mark them BRAINIEST

♡ Hope this helps

♡ Have a beautiful day

Answer:

Step-by-step explanation:

See image attached

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

The trigonometric identities that apply are:

Option A and Option C

- tan(x-pi)=tanx

- cos(x+y)+cos(x-y)=2cosxcosy

Given,

- tan(x-pi)=tanx

- sin(x+y)+sin(x-y)=2cosxsiny

- cos(x+y)+cos(x-y)=2cosxcosy

- cos(x+y)-cos(x-y)=2cosxcosy

We have to check which identities are correct.

1.

tan(x-pi)=tanx

tan(x-pi) = tanx.      

[tan(-x) = -tanx]

tan(-(pi-x)) = tanx

-tan(pi-x) = tanx.      

[tan(pi - x) lies in the 2nd quadrant and it is negative]

-(-tanx) = tanx

tanx = tanx

This is an identity.

2.

sin(x+y)+sin(x-y)=2cosxsiny                

sin(x+y) + sin(x-y) = 2cosxsiny.        

[sin(A+B) = sinAcosB + cosAsinB]

sinxcosy + cosxsiny + sinxcosy - cosxsiny = 2cosxsiny

2sinxcosy ≠ 2cosxsiny

This is not an identity.

3.

cos(x+y)+cos(x-y)=2cosxcosy.      

[cos(A+B) = cosAcosB - sinAsinB]

[cos(A-B) = cosAcosB + sinAsinB]

cosxcosy - sinxsiny + cosxcosy + sinxsiny = 2cosxcosy

2cosxcosy = 2cosxcosy

This is an identity.

4.

cos(x+y)-cos(x-y)=2cosxcosy

cosxcosy - sinxsiny - (cosxcosy + sinxsiny) = 2cosxcosy

cosxcosy - sinxsiny - cosxcosy - sinxsiny = 2cosxcosy

-2sinxsiny ≠ 2cosxcosy

This is not an identity.

Thus,

Option A and Option C are true.

- tan(x-pi)=tanx

- cos(x+y)+cos(x-y)=2cosxcosy

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These two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

The correct system of equations to model this scenario is:

x + y = 414 (Equation 1)

9x + 12y = 3780 (Equation 2)

In this system, x represents the number of children and y represents the number of adults who played that day.

Equation 1 represents the total number of customers, which is 414. It states that the sum of the number of children (x) and the number of adults (y) is equal to 414.

Equation 2 represents the total cost of the games played. Since the cost for a child's game is $9 and the cost for an adult's game is $12, we multiply the number of children (x) by $9 and the number of adults (y) by $12. The equation states that the total cost, which is $3780, is equal to the sum of these individual costs.

Together, these two equations form a system that can be solved to find the values of x and y, representing the number of children and adults, respectively, who played on that day.

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The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer: Read the solution

Step-by-step explanation:

A. For diagram A, triangles ANC and BDE are similar. Thus, we can use similarity ratios to find the length of AC. (x+1)/12 = (x+5)/15. 15x+15=12x+60. Thus 3x=45, and x=15. Since we need to find AC, AC = 15+1 = 16.

B. For diagram B, triangles SRT and VUT are similar. Again, using similarity ratios, (4x-1)/14=(x+2)/6 or 14x+28=24x-6. 10x=34, x=3.4.

Answer:

im going so asume you mean a 6 sided dice since thats the most common

(i) 16 2/3%

(ii) 0%

(iii) 16 2/3

(iv) (2,3,5) 50% (1,2,3,5) 66 2/3%

(v) 50%

(vi) 50%

(vii) 33 1/3

Hope This Helps!!!

The given ellipse has been drawn with the all required data.

a regular oval form produced when a cone is cut by an oblique plane that does not intersect the base, or when a point moves in a plane so that the sum of its distances from two other points remains constant.

As per the given equation,

16x² + 9y² - 32x + 36y - 92 = 0

(4x - 4)² + (3y + 6)² - 56 = 16 + 36

(4x - 4)² + (3y + 6)² = 108

16(x - 1)² + 9(y + 2)² = 108

(x - 1)²/(108/16) + (y + 2)²/(108/9) = 1

(x - 1)²/(108/16) + (y + 2)²/(12) = 1

The above is the equation of an ellipse with a center (1,-2).

The coordinates of the vertices are (1,1.464) and (1,-5.464).

Length of major axis = 2√12

Length of minor axis = 2√(108/16)

The value of c = √(a² – b²)

c = √(12 - 108/16)

c = 2.29

The coordinate of the foci is will be as,

F₁ = (-1.29,-2)

F₂ = (3.29,-2)

The value of the eccentricity e = c/a

e = 2.29/√(108/16)

e = 0.88

Domain = (-1.6,-2)

Range = (3.6,-2)

Hence "The supplied ellipse has been drawn using all necessary information".

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Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

Answer: C

Step-by-step explanation: it seems like the best answer and makes the most sense! please let me know if i am correct! have a wonderful day!

Answer:

120 + 3.5x≤ 190

Step-by-step explanation:

Add up all the costs

80+ 10+10+20 + 3.50x where x is the number of cupcakes

Combine like terms

120 + 3.5x

This must be less than or equal to 190

120 + 3.5x≤ 190

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

the answer is hakuna matata jk the answer is D

Add them both up and divided by 2, 52+45=97. 97/2 =48.5

Step-by-step explanation:

Answer:

y = -1/2 x - 3/2

Step-by-step explanation:

Substitute the points for y and x and solve :)

Lemme know if you need more help or if you want me to further explain

Answer is 5 calories/min

75 divided by 15 is 5

Answer:five cal per min.15 in five groups equals ''75''

Step-by-step explanation:

Numerical climate models use quantitative methods to simulate the interactions of the important drivers of climate, including atmosphere, oceans, land surface and ice. They are used for a variety of purposes from study of the dynamics of the climate system to projections of future climate.

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer:

15,860

Step-by-step explanation:

just multiply the two numbers!

The product is 15860.

The mathematical operation that at its simplest is an abbreviated process of adding an integer to zero a specified number of times and that is extended to other numbers in accordance with laws that are valid for integers.

The product of 3,172 and 5 is: 3172*5=15860

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Answer:

24°

Step-by-step explanation:

For an n-sided regular polygon, the sum of internal angles = (n-2)×180°

Since all internal angles are equal, the internal angle can is given as:

Here, it is given that the polygon has 15 sides.

So n = 15

So each internal angle is 156°.

Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.

So external angle = 180° - 156° = 24°.

The measure of each external angle is 24°.

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer:

362x4

This equals 1448

Step-by-step explanation:

Answer:

362

  x4

---------

Step-by-step explanation:

because we're using place value we need to line up the numbers, 4 below the 2 and so on.

The interval between neighboring x value is 1

the ratio between neighboring y-values 1

To find interval between neighboring x value, we subtract as follows

interval = 2 - 1 = 3 - 2 = 4 - 3 = 5 - 4 = 1

To find the ratio between neighboring y-values, we divide

ratio = 4 / 1 = 16/4 = 256 / 16 = 1024 / 256 = 4

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complete question

The table below represents an exponential function.

x

1

2

3

4

5

y

1

4

16

256

1,024

What is the interval between neighboring

X-values shown in the table?

What is the ratio between neighboring y-values?