The box-and-whisker plot below represents some data set. What is the minimum value of the data?

Answer:

Let's check this!

Obtuse triangle formula:

c² < b² + a²

Next fill in the formula:

7² < 5² + 4²

Then simplify:

49 < 25 + 16
Then add:

49 < 41

^^49 is not greater than 41 so therefore the triangle is not obtuse.

When the hypotenuse is bigger than the legs of the triangle it is an acute triangle.

Acute triangle formula:

c² > b² + a²

7² > 5² + 4²

49 > 25 + 16

49 > 41 ✔

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The three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

The triangle is an obtuse triangle if the sum of the squares of the smaller sides is less than the square of the largest side.

The three sides of a triangle of lengths 4, 5, and 7.

An obtuse triangle is a triangle in which one of the interior angles is greater than 90°.

The sides of a triangle are not an obtuse triangle as determined in the fooling step given below.

Obtuse triangle formula:

c² < b² + a²

7² < 5² + 4²

49 < 25 + 16

49 < 41

Here; 49 is not greater than 41 so therefore the triangle is not obtuse.

Hence, the three sides of a triangle of lengths 4, 5, and 7 are not obtuse triangles.

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Using simple interest, it is found that the prices are as follows:

A. $10,200.

B. $12,614.58.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

Item a:

$850 for 12 months, hence the yearly cost is:

P = 850 x 12 = $10,200.

Item b:

The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:

A(t) = A(0)(1 + rt)

A(30) = 175000[1 + 0.03875(30)]

A(30) = 378437.5.

The yearly cost is given by:

378437.5/30 = $12,614.58.

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Answer:

d=8

Step-by-step explanation:

4.5(8)>31.5 works because 36>31.5

Answer:

the postulate that proves these two triangles congruent is AAA or angle angle angle.

Answer:

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

Step-by-step explanation:

Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).

It is a polygon having six faces.

The volume of a cube is a side cube.

We have,

The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.

Thus,

The line from the center to the mid-point of an outer side is a(n) is Apothem.

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Answer:

66x

Step-by-step explanation:

Rect = bh

Rect = 15 x 4x

Rect = 60x

Triangle = (bh) / 2

B = 7x - 4x

B = 3x

A = 15 - 11

A = 4

Tri = (4 x 3x) / 2

Tri = 12x / 2

Tri = 6x

All = Rect + Tri

All = 6x + 60x

All = 66x

(I promise it's right this time)

Answer:

66x

Step-by-step explanation:

Separate the shape into a rectangle and a triangle.

Dimension of the rectangle:

Dimension of the triangle:

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × width

Total area = area of rectangle + area of triangle

                 = (15 × 4x) + (1/2 × 4 × 3x)

                 = 60x + 6x

                 = 66x

Answer:

x=145 and y=35

Step-by-step explanation:

the hole line equals 180 so do 35-180 which equals 145 and y would equal 35

Answer:

200

Step-by-step explanation:

4 multiplied by 50 = 200

400 divided by 200 = 2

so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)

Answer:

39

Step-by-step explanation:

you can set a proportion

84/156 = 21/x

when u solve for x u get 39

Answer:

A. 0.125 foot per square feet

Step-by-step explanation:

When finding average rate of change, use the formula

ΔY/ΔX

The ΔY, or Y final - Y initial would be 1.5-1.0, which is equal to 0.5.

The ΔX, or X final - X initial would be 7-3, which is equal to 4.

Plug these values into the equation ΔY/ΔX to get 0.5/4.

This will give you 0.125.

Answers:

5.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]

4.) [tex]\displaystyle 2[/tex]

3.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]

2.) [tex]\displaystyle 2[/tex]

1.) [tex]\displaystyle \pm{2}[/tex]

Step-by-step explanations:

5.) [tex]\displaystyle \frac{\sqrt{75}}{\sqrt{27}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{3}}}{\pm{3\sqrt{3}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]

4.) [tex]\displaystyle \frac{\sqrt[5]{96}}{\sqrt[5]{3}} \hookrightarrow \sqrt[5]{32} \hookrightarrow \frac{2\sqrt[5]{3}}{\sqrt[5]{3}} \\ \\ \boxed{2}[/tex]

3.) [tex]\displaystyle \frac{\sqrt{125}}{\sqrt{45}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{5}}}{\pm{3\sqrt{5}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]

2.) [tex]\displaystyle \frac{\sqrt[3]{24}}{\sqrt[3]{3}} \hookrightarrow \sqrt[3]{8} \hookrightarrow \frac{2\sqrt[3]{3}}{\sqrt[3]{3}} \\ \\ \boxed{2}[/tex]

1.) [tex]\displaystyle \frac{\sqrt{8}}{\sqrt{2}} \hookrightarrow \sqrt{4} \hookrightarrow \frac{\pm{2\sqrt{2}}}{\pm{\sqrt{2}}} \\ \\ \boxed{\pm{2}}[/tex]

I am joyous to assist you at any time.

Answer:

10 ft

Step-by-step explanation:

5 1/6 + 4 5/6 = 10

5 + 4 = 9

1/6 + 5/6 = 6/6 = 1

9 + 1 = 10

Answer:

10 feet

Step-by-step explanation:

We are trying to find Madison's height plus Jade's height...

Turn the fractions into improper fractions

So,

5 1/6 = 31/6

4 5/6 = 29/6

31/6 + 29/6 = 10 feet

or

5+4= 10 and 1/6+5/6 = 1

so the answer is 10 feet

PLEASE RATE!! I hope this helps!!!

If you have any questions comment below

The value 0.92 indicates the relative density of the ice.

Data;

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the relative density of the ice.

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Answer:

y = 0

Step-by-step explanation:

Midline = the horizontal center line

Answer:

g=118 degrees h=62 degrees

Step-by-step explanation:

So we can use some angle rules that I forget the name of to solve this.

Let's look at angle g first. We know that the opposite angle is 118 degrees. So that also means that g is going to be 118 degrees.

Since g is 118 degrees we can find h. The angle of a line is 180 degrees. This means that we can do 180-118 to find h. h=62 degrees.

We can do the same thing for k and m. Try doing what I did for g and h for those two. Comment if you need help.

Answer:

(-1/2. 0)

Step-by-step explanation:

Given

Solving for x

Solving for y

Solution

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required solution set is :

[tex]\qquad \sf  \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]

See the attachment for solution ~

tanS = 5/12

tanR = 12/5

ur welcome norissa

Answer:

x = 2, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]

[tex]\mathrm{Substitute\:}[/tex]

[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]

[tex]\mathrm{Simplfy}[/tex]

[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]

[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]

[tex]x=3-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check Answer:

Since [tex]x =2 , y =1[/tex]

[tex]2(2)+2(1)[/tex]

[tex]4 + 2[/tex]

[tex]= 6[/tex]

True

[tex]3(2) - (1)[/tex]

[tex]6 -1[/tex]

[tex]5[/tex]

True

Hence, [tex]x = 2, y = 1[/tex]

~Lenvy~

Answer:

a cone with a radius of 4 units

Step-by-step explanation:

when rotating something, this involves a circle. so, the result will always be round and never edgy. therefrom the first option is wrong.

and we are rotating a triangle. the result will have a wide base and a pointed tip. so, the third option is wrong.

the rotation does not make the basic shape smaller. so, the second option is wrong.

yes, the fourth option is correct.

The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

Referring to the figure, assuming:

Using the Pythagoras theorem, we get:

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

It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.

Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]

Thus, perimeter of the triangle as:

[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]

Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft

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Answer:

    C    :    6 + 3√2 ft

Step-by-step explanation:

it is right

trust me

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

Answer: = 3 seconds

Step-by-step explanation: combine the like terms Hope it helps !!

To simplify: 8s - 11s + 6s. Simplify the like terms by combining them

Simplifying 8s - 11s + 6s will give 3s.

Given,

8s - 11s + 6s

Now,

Expression : 8s-11s+6s

To simplify the expression combine like terms. So, all the terms consists of variable s.

Combine all terms having same sign,

So,

Firstly apply addition

8s + 6s

= 14s

Now,

Apply subtraction,

14s - 11s

= 3s

Therefore the simplified version is 3s.

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When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.

An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.

In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.

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Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

Answer:

3/1

Step-by-step explanation:

Answer:

Step-by-step explanation:

hours              Cost

  0                   $15

   1                    $15 + 2.50 = $17.50

   2                    $15 + 2.50(2) = $15 + 5 = $20

   3                     $15 + 2.50(3)= $15 + 7.50 = $22.50

   4.                     $15 + 2.50(4)= $15 + 10 = $25

Answer: 40 degrees

Step-by-step explanation: