Question 14 of 15
What are the domain and range of the inequality ?

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for c:

[tex]\implies 16^2+2^2=c^2[/tex]

[tex]\implies 256+4=c^2[/tex]

[tex]\implies c^2=260[/tex]

[tex]\implies c=\sqrt{260}[/tex]

[tex]\implies c=2\sqrt{65}[/tex]

[tex]\implies c=16.1 \sf \: cm\:(nearest\:tenth)[/tex]

16.1 is rounded to the nearest tenth

If Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Louis needs to secure his tent.

He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener

We have to find the length of the rope by using pythagoras theorem

12²+9²=x²

144+81=x²

225=x²

Take square root on both sides

x=√225

x=15

The total length is 12+9+15=36 ft

Hence, if Louis needs to secure his tent. He will use a rope to go down the edge of the tent, straight out to a post and back to the starting think fastener then total length of rope is 36 ft.

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Answer:

t = time

42 + 8.8t < 112.40

8.8t < 70.4

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Answer: t = 4

Step-by-step explanation:

(x) - (y) = (t)

78.00 - 41.00 = 37.00

7.40 x 5 = 37

t = 4

Any amount of time under 5 hours would work.

Answer:

flip it around 9/13 reciprocal would be 13/9

Answer:

graph c

Step-by-step explanation:

it's coordinate (0,2) satisfy the equation

Answer:

2/3

Step-by-step explanation:

p(B/A)=[P(A&B)]/p(A)

2/3=[P(A&B)]/(1/2)

P(A&B)=2/3 *1/2=1/3

P(A&B)=P(A)*P(B)

1/3=1/2*P(B)

P(B)=1/3*2/1=2/3

Step-by-step explanation:

so your points are going to be as follows, starting with the left-most point.

(-1, 7)

(0, 4)

(1, 3) [this is the vertex]

(2, 4)

(3, 7)

Answer:

attached image

Step-by-step explanation:

Reference function:

y = x^2

Translated function:

y = a(x - h)^2 + k

k is vertical translation (up if positive or down if negative)

3 in your formula so it move up 3

h is horizontal translation (left if positive or right if negative)

1 in your formula so shifted 1 to the right horizontal translation

a is the vertical scaling

it can be either compressed (more narrow) or streched (wider)

a < 0 the graph is either stretched or compressed and also reflected about the x -axis

none in your formula

Answer:

the game is fair because the probability of winning is equal to 50%

Step-by-step explanation:

Answer:

45.8 m^2

Step-by-step explanation:

area = π x 3.82^2

area ≈ 45.8

hope this helps

have a good day

For A it is 6240 / 20% for B it is 6240 x 15%

Answer: A. .20x640=128

                   128+640=768

B. .15x640=96

     640-96

Step-by-step explanation:

Answer: Qualititative, Nominal and Categorical

Explanation:

The variable is qualitative since it does not involve numerical data (i.e. numbers). Rather we're dealing with names or labels.

Since names or labels are involved, and there isn't really inherent order to them, we consider this qualitative data to be nominal.

We can also consider it categorical since each label is a category.

Answer:

Decrease of 43.75% in area

Step-by-step explanation:

Finding Side Length of Q :

⇒ Side Length P (100% - 25%)

⇒ 75 % x Side Length O

⇒ 0.75 x 12 cm

⇒ 9 cm

Area of Squares P and Q :

⇒ Area (Square P) = (12)²

⇒ Area (Square P) = 144 cm²

⇒ Area (Square Q) = (9)²

⇒ Area (Square Q) = 81 cm²

% Decrease :

⇒ New - Original / New

⇒ 81 - 144 / 144

⇒ -63/144

⇒ -21/48

⇒ -7/16

⇒ -0.4375

⇒ Decrease of 43.75% in area

The Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The pathway of Sam's dive into the swimming pool can be represented by the equation,

[tex]h = -16t^2 + 15t + 12[/tex]

(where t = time in seconds and h = height in feet)

The Sam's height after 1 second is,

[tex]h = -16t^2 + 15t + 12\\h = -16(1)^2 + 15(1) + 12\\h=-16+15+12\\h=11\rm\; ft[/tex]

Thus, the Sam's height after 1 second, form the equation of pathway of Sam's dive into the swimming pool is 11 feet.

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Answer:

= CL : SL

= 28 cm : 20 cm

= 1,4 cm

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}} \\\color{magenta}{\rule{10pt}{20pt}}\purple{\rule{10pt}{20pt}}\red{\rule{10pt}{20pt}}\orange{\rule{10pt}{20pt}}\color{yellow}{\rule{10pt}{20pt}}\color{lime}{\rule{10pt}{20pt}}\color{green}{\rule{10pt}{20pt}}\color{blue}{\rule{10pt}{20pt}}\color{indigo}{\rule{10pt}{20pt}}\color{violet}{\rule{10pt}{20pt}}\color{aquamarine}{\rule{10pt}{20pt}}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

Step-by-step explanation:

Discussion

You have to rearrange the equation so that y is all by itself on the left and it must be positive. Stay tuned to get the rest of the rule.

x - y = 3                       Multiply the whole equation by -1

-1(x - y = 3)                   Remove the brackets. This gets y to be +

-x + y = - 3                   Add x to both sides of the equation.

-x+x + y = -3 + x           Combine the left. Notice the x's disappear on the left

y = - 3 + x

Now for the rest of the rule. The number in front of the x is the slope. But, you say, there is no number. Well there is. It's 1.

Answer

The slope of the line is 1.

Answer:

$1,200

Step-by-step explanation:

$15 x 20 = $300/week; $300 x 4 weeks = $1,200

Answer:

A.)$1,200 a month

Step-by-step explanation:

it's the same as before. but, if you're looking for multiple weeks, just do the same thing, but multiply it by how many weeks there are. Ex. $15 an hour times 20 hours is $300, and there are 4 weeks in a month, so you would multiply it by 4 to get $1,200

Answer:

Shanice ran 42 miles.

Step-by-step explanation:

Answer:

y= between 9-10 patients, round down to 9

Step-by-step explanation:

y= 9/4x + 5

y = 9/4(2) + 5

y = 9.5

y= between 9-10 patients, round down to 9

Answer:

(5,5) Remember, the bottom line always goes first since it is the X axis, and the one going up and down goes second because it is the Y axis :D

Step-by-step explanation:

Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.

The leading coefficient of a polynomial is the term that multiplies the highest exponent.

In this problem, the expression is given by:

7m² + 19.

The highest exponent is of 2, in m², hence the leading coefficient is of 7.

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Answer:

1/125,000

Step-by-step explanation:

8/1,000,000 =

4/500,000 =

2/250,000 =

1/125,000 =

0.000008 (just in case)

Answer:

The correct answer is graph A.

Answer:

4.5 step by step

Step-by-step explanation:

6 × 6 = 36 ÷ 8 = 4.5

Answer:

parallelogram

Step-by-step explanation:

Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram

Answer:

Step-by-step explanation:

1/3 of 12 = 2/3 of ?

1/3 of 12 =

(12 : 3) =

4

4 * 2 = 8

8 + 4 =

12

Answer:

Statements B and E are true.

Step-by-step explanation:

B is true

E is true

[tex]\text{In}~ \triangle ABC,\\\\~~~~~~~~\sin 45^{\circ} =\dfrac{BC}{AC} \\\\\implies \dfrac 1{\sqrt 2} = \dfrac{BC}{6\sqrt 2}\\\\\\ \implies BC= 6\\\\\text{Now, In}~ \triangle BCD\\\\~~~~~~\cos 60^{\circ} = \dfrac{BD}{BC}\\\\\ \implies \dfrac 12 = \dfrac{x}{6}\\\\\\\implies x = \dfrac 62\\\\\\\implies x = 3[/tex]

Answer:

x = 3

Step-by-step explanation:

using the sine ratio in right triangle ABC and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{6\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC × [tex]\sqrt{2}[/tex] = 6[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

BC = 6

using the cosine ratio in right triangle BCD and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{x}{6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 6 ( divide both sides by 2 )

x = 3