Determine the ordered pair numbers for each letter.



Point Ordered Pair
A
B
C
D
E

Answer:

the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Step-by-step explanation:

The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t

when the object reach the ground then s(t) = 0

So;  -4.9t² +7.8t = 0

-4.9t² +7.8t + 0 = 0

By using the quadratic equation

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

where; a = -4.9 ; b = 7.8 and c = 0

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]

[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]

Hence;  the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Answer:

20

Step-by-step explanation:

Answer:

5 x − 1 − 3 x y − c

The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

The given expression is (5x-1)-(3xy+c)

The subtraction between them is

5x - 1 - 3xy - c

Thus, the subtraction would be 5x - 1 - 3xy - c.

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Answer:

10X + 20 +5X +25 = 180

15x=180-45

X= 135/15

X=9

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Answer:

6cm

Step-by-step explanation:

The radius is half of the diameter. Being 12 inches, the radius will be 6 inches.

Because two side lengths are identical it is an isosceles triangle and also at least one angle is less than 90 degrees so the answer would be an acute isosceles triangle.

Answer:

acute isosceles.

Step-by-step explanation:

Answer:

y ≤1

Step-by-step explanation:

The range is the output values

It has a max at 1 and can be any value below 1

y ≤1

Answer:

f(x) < 1

Step-by-step explanation:

Max y value on the graph is y = 1, hence the range is f(x)《 1

From the given options,

f(x) < 1

The range of the function f(x) = sin(x) given in the task content is; Negative 1 less-than-or-equal-to y less-than-or-equal-to 1; -1<= y <=1.

The range of a function is simply the set of its possible output values. For instance, for the function f(x)=x⁴ on the domain of all real numbers , the range is the non-negative real numbers, which can be written using interval notation.

On this note, the range of the function as given is -1<= y <=1.

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Answer: B, the set of all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1

Step-by-step explanation: edge

Answer:

The values of variables x and m are 11 and 17

Step-by-step explanation:

The question has missing details as the diagram of the trapezoid isn't attached.

(See attachment).

Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)

And

The angles at the top are also equal

8m = 11x + 15

At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..

The sum of interior= 360

So,

11x + 15 + 8m + 4x + 4x = 360

Collect like terms

11x + 4x + 4x + 8m = 360 - 15

19x + 8m = 345

Substitute 11x + 15 for 8m

19x + 11x + 15 = 345

30x + 15 = 345

30x = 345 - 15

30x = 330

Divide through by 30

30x/30 = 330/30

x = 11

Recall that 8m = 11x + 15;

8m = 11(11) + 15

8m = 121 + 15

8m = 136

Divide through by 8

8m/8 = 136/8

m = 17

Hence, the values of variables x and m are 11 and 17

Answer:

Step-by-step explanation:

As you can observe in the image attached, the triangle formed is scalene, which means we need to use the law of cosines to find the answer.

[tex]p^{2} =c^{2} +t^{2} -2(c)(t)(cos\theta)[/tex]

Where [tex]p[/tex] is green peppers, [tex]c[/tex] is carrots, [tex]t[/tex] is tomatoes and [tex]\theta[/tex] is the angle between tomatoes and carrtos.

Replacing all given values, we have

[tex]21^{2} =13^{2} +16^{2} -2(13)(16)(cos\theta)\\441=169+256-416cos\theta\\441-169-256=-416cos\theta\\\frac{16}{-416}=cos\theta\\ \theta=cos^{-1}(\frac{1}{-26} ) \approx 92.2\°[/tex]

Therefore, the angle between tomatoes and carrots is 92.2°, approximately.

The key phrase here is "given you are in Sacramento". This means we only focus on the "Sacramento" row. Ignore everything else.

17 days are clear out of 30 total, so 17/30 = 0.5667 approximately and that rounds to 0.57

Answer:

15 is a less than 16

Step-by-step explanation:

Answer:

What are the choices??

Step-by-step explanation:

Answer:

28

Good luck

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

B=7

H=4

7*4= 28

ANSWER: 28

Answer:

1st one: DEB

2nd one: HL

Step-by-step explanation:

By segment addition property, the lengths of the hypotenuse side of both

triangles ΔAFC and ΔDEB are equal.

Response:

Please find attached the diagram representing the triangles

ΔAFC and ΔDEB overlap

Point B is located on side [tex]\mathbf{\overline{AC}}[/tex]

Point C is located on side [tex]\mathbf{\overline{BD}}[/tex]

∠AFC = ∠BED = 90°

[tex]\overline{FA}[/tex] ≅ [tex]\overline{ED}[/tex]

[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]

A statement and reason pair that can be used to prove that [tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex] is given as follows;

Statement [tex]{}[/tex]                                               Reasons

[tex]\overline{FA}[/tex] ≅ [tex]\overline{ED}[/tex] [tex]{}[/tex]                                               Given

ΔAFC and ΔDEB are right triangles[tex]{}[/tex]      Definition of right triangles

[tex]\overline{AB}[/tex] = [tex]\overline{CD}[/tex]   [tex]{}[/tex]                                               Definition of congruency

[tex]\overline{BC}[/tex] ≅ [tex]\overline{BC}[/tex]  [tex]{}[/tex]                                               Reflexive property

[tex]\overline{BC}[/tex] = [tex]\overline{BC}[/tex]  [tex]{}[/tex]                                                Definition of congruency

[tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex] + [tex]\overline{BC}[/tex] [tex]{}[/tex]                              Substitution property

[tex]\overline{BD}[/tex] = [tex]\overline{AC}[/tex]  [tex]{}[/tex]                                   Substitution and segment addition property

ΔAFC ≅ ΔDEB  [tex]{}[/tex]                                Hypotenuse leg (HL) rule of congruency

[tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex]  [tex]{}[/tex]                                              CPCTC

CPCTC is the acronym for Corresponding Parts of Congruent Triangles are Congruent

A statement/reason pair that can be used is therefore;

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Answer:

It's the first expression

Step-by-step explanation:

9 (4a minus 3)

(9x4a)-(9x3)

36a minus 27

The correct expression equivalent to 36a minus 27 is 9(4a minus 3)

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression is 36a minus 27, we need to find an expression equivalent to the given expression,

So, converting the expression into mathematical expression,

36a minus 27

= 36a-27

HCF of 36 and 27 is 9, so taking 9 common,

Therefore,

36a-27 = 9(4a-9)

We can write 9(4a-9) in statement,

9(4a-9) = 9(4a minus 3)

Hence, the correct expression equivalent to 36a minus 27 is 9(4a minus 3)

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Answer:

9:17 P.M.

Step-by-step explanation:

If the drive is 2 hours and 45 minutes and they need to be there by 12:02 am, you subtract two hours from that number. This means that if the drive was only two hours, they would have to leave home at 10:02 pm. However, it is 45 minutes longer than that so you have to subtract 45 minutes from 10:02 pm which gets 9:17 pm. Hope this helps!

Answer:

B C E

Step-by-step explanation:

Look at the attachment

Answer:

4

Step-by-step explanation:

3,186/22= 144

144/36= 4

Answer:

It should be A

Step-by-step explanation:

multiply the - by 7/8 to get -7/8

Answer:A

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

Answer:

I think it should be 9km

Answer:

64 x 12 = 768

Step-by-step explanation:

ok so we have 64 teams in all at the tournament & each team has 12 players. To find how many are at the basketball tournament we can multiply 12 by 64.

Answer:768 basketball players

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

Answer:

x+4

4+x

x-4

-4+x

4-x

36-x

x-36

4-x

Step-by-step explanation:

Answer:

The independent is the weight of the onions purchased the depenten variable is the cost per pound of the onions

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

There are 11 odd numbers less than or equal to 21.

There is 1 two.

11 + 1 = 12 ways

12 outcomes/ 21 total outcomes =

4/7

Answer:

(fg)(x) = 5x^4 + 5x^3

Step-by-step explanation:

(fg)(x) = (5x^3)(x+1)

(fg)(x) = 5x^4 + 5x^3

The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?

3(40) ft³

3(1/40) ft³

1/3(40)ft³

1/3(40²) ft³

Answer:

The expression  that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³

Step-by-step explanation:

To find the expression that represents  the volume of a cone with the same height and base as the cylinder, we will follow the steps below:

First write down the formula for calculating volume of a cone   and volume of a cylinder

volume of a cone = [tex]\frac{1}{3}[/tex] πr²h

volume of a cylinder = πr²h

If the base are the same, this implies they have the same radius,  and from the question, it states that they have the same height, hence;

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

from the question, the volume of the cylinder is 40 ft³

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                              = [tex]\frac{1}{3}[/tex] (40) ft³

volume of a cone =  [tex]\frac{1}{3}[/tex] (40) ft³

Therefore the expression  that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

Answer

is 8pi

it doesnt want you to actually times pi but leave pi alone

Step-by-step explanation:

i took the test got it wrong at first and reviewed it it said 8pi

The Volume of cone in terms of π is: 8π in³.

Volume of any cone with radius, r, and height, h, is determined using the formula: V = 1/3πr²h.

Given:

Thus:

Volume of cone = 1/3(π × 2² × 6)

Volume of cone = 1/3(24π)

Volume of cone = 8π in³.

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