which inequality does the graph represent?
A. y<-x-1
B. y<-x+1
C. y D. y

Answer:

first option

Step-by-step explanation:

3x = 90 degree (being perpendicular)

x = 90/3

x = 30 degree

substitute the value of x

2x + 3y = 90 degree (being perpendicualr)

2*30 + 3y = 90

60 + 3y = 90

3y = 90 - 60

y = 30/3

y = 10 degree

Answer:

that's easy its letter a number 10

Answer:

[tex]\triangle FED\sim \triangle JEH[/tex]

Step-by-step explanation:

Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]

9514 1404 393

Answer:

  ΔDEF ~ ΔHEJ

Step-by-step explanation:

The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.

The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...

  ΔDEF ~ ΔHEJ

9514 1404 393

Answer:

  y = -(x -3)^2 +2

Step-by-step explanation:

The vertex form of the equation for a parabola is ...

  y = a(x -h)^2 +k

where the vertex is (h, k) and the value 'a' is a vertical scale factor.

The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.

Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...

  y = -(x -3)^2 +2

Answer:

Step-by-step explanation:

formula to find the sum of interior angle of a regular pentagon is

(n-2)*180 degree

here n means no of sides .since pentagon has 5 sides replace it by 5

=(5-2)*180

=3*180

=540 degree

Answer:

B and C

Step-by-step explanation:

If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)

If you take the greatest common factor then it could be factored to 12(2m-p+6)

Answer:

It's the fourth option, the bottom right one

The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.

Answer:

a) The fixed cost is $1350.

b) Total variable cost is $6000.

Step-by-step explanation:

a) The fixed cost = Operational cost + Insurance company bill.

                           = $ 1000  + 350 = $1350.

b) Variable cost:-

The number of facilitators = 20.

The salary for each facilitator = $300.

Total variable cost = $300 x 20 = $6000.

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Answer:

  9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

  tan(α) = 500/3000 = 1/6

  α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

_____

Additional comment

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

Answer:

yes, i think it is correct :)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

because you multiply 4 by it self

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

2 dice = 12 numbers

1, 2, 3, 4 and 1, 2, 3, 4 are less than five.

This is a total of 8 numbers.

[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]

The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )

Now , the total number of outcomes for throwing 2 dices = 36 outcomes

And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5

{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),

(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),

(1,4), (2,4), (3,4), (4,4)}

So , the number of possible outcomes = 16

And , probability P ( A ) = 16/36

P ( A ) = 4/9

Hence , the probability is 4/9

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Answer:

-1

Step-by-step explanation:

Distribute

6x - 2 >= 4x - 6

2x >= -4

x >= -2

Answer:

The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive

Answer:

160 chips

Step-by-step explanation:

Given

[tex]n = 8[/tex] --- players

[tex]c = 60[/tex] --- chips per player

First, calculate the total chips

[tex]Total = n * c[/tex]

[tex]Total = 8 * 60[/tex]

[tex]Total = 480[/tex]

After 5 players are out; there are 3 players remaining in the game

So, the average number of chip with each of the remaining player is:

[tex]Average = \frac{Total}{n-5}[/tex]

[tex]Average = \frac{480}{8-5}[/tex]

[tex]Average = \frac{480}{3}[/tex]

[tex]Average = 160[/tex]

Answer:

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Step-by-step explanation:

For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.

This means that [tex]p = 0.3[/tex]

A sample of 15 babies is studied.

This means that [tex]n = 15[/tex]

What is the probability that exactly 5 of them weigh more than 20 pounds

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Answer:

Commission: $46.68

Step-by-step explanation:

https://www.commission-calculator.com/

By using this calculator, it shows you exactly the commission rate.

Answer:

9 servings

Step-by-step explanation:

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Answer:

  (a)  628 cm³

Step-by-step explanation:

Put the given numbers into the formula and do the arithmetic.

  V = πr²h

  V = (3.14)(5 cm)²(8 cm) = 628 cm³

Answer:

2,165 + 2571 + 1,678 = 6,414

Step-by-step explanation:

We can say;

=> 2,165 + unknown number + 1,678 = 6,414

So let's add like terms first;

=> 3,843 + unknown number = 6,414

=> unknown number = 6,414 - 3,843

=> unknown number = 2571

Hope this helps!

Answer:

2571

Step-by-step explanation:

Let x be the blank.

2165 + x + 1678 = 6414

3843 + x = 6414 (combine like terms)

x = 2571

Answer:

Given function:

Fill in the table by substituting the value of x:

The graph is attached

Answer:

"there is exactly one output for each input" is cotrrect

"the graph of a linear function" is correct

Step-by-step explanation:

Answer:

152.99 m

Step-by-step explanation:

Using the solution diagram attached below :

We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;

Tan θ = opposite / Adjacent

Tan 24 = h / 340

h = tan 24 * 340

h = 151.37775

Hence, the height will be (h + distance from eyelevel to ground)

151.37775 + 1.61

= 152.98775

= 152.99 m

Answer:

132.6 meters tall

Step-by-step explanation:

it gave me the answer

Answer:

Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10

Answer:

JIKA ANDA YANG

Step-by-step explanation:

yang bales anak yang

[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]

Answer:

20

Step-by-step explanation:

He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster

so 23 - 3 = 20

Answer:

4 classes

Step-by-step explanation:

4+3+5+9+3+4=28

28/6=4.6

The area of the shaded segment is 100/3π square centimeter

What is a area?

Area is nothing but the surface bounded by the object in 2D.

What is a segment?

A part of a line or curve between two points In circle we can say segment is nothing but a region or area cutoff from the circle by chord.

What is a segment area?

Area bounded by a segment. Area of segment has a formula (θ/360°)πr²

According to the question

θ=120°

radius =10cm

area of segment = (120°/360°)π(10²)

120°/360° =0.333

10²=100

0.333×π×100

33.3π or (100/3)π

Thus area of the shaded segment is 33.3π or (100/3)π square centimeters

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