Can you find the missing segment to the triangle in the attached image

Answer:

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.

Step-by-step explanation:

We are given that a polygon MNOPQR is shown. The top vertex on the left is labeled M, and the rest of the vertices are labeled clockwise starting from the top-left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ.

The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

Firstly, we will draw a perpendicular line from point O which meets the line RQ at point T. Now, the polygon MNOPQR is divided into two rectangles MNTR and OPQT.

As we know that the area of the rectangle = [tex]\text{Length of rectangle} \times \text{Breadth of rectangle}[/tex]

In the rectangle MNTR, the length (MN) = 5 units and the breadth (MR) = 3 units.

So, the area of the rectangle MNTR = [tex]\text{Length (MN)} \times \text{Breadth (MR)}[/tex]

                                                            = [tex]5 \times 3[/tex]  = 15 square units

Now, as we know that in rectangle MNTR, the side NT = 3 units and the side NO is labeled as 2 units. This means that the side OT = NT - NO = 3 units - 2 units = 1 unit

Similarly, the side QR is labeled as 7 units and the side RT is labeled as 5 units. This means that the side TQ = QR - RT = 7 - 5 = 2 units

Now, in the rectangle OPQT, the length (TQ) = 2 unit and the breadth (OT) = 2 units.

So, the area of the rectangle OPTQ = [tex]\text{Length (TQ)} \times \text{Breadth (OT)}[/tex]

                                                            = [tex]2 \times 1[/tex]  = 2 square units

Hence, the area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is _2_ square units.

Answer:

7

Step-by-step explanation:

Answer:

43.6 amp

Step-by-step explanation:

Given

A 40 amp fuse carries a temporary 9 % current overload.

9% current overload means that whatever will be the normal current carrying capacity of fuse, during overload it carries 9% more than that.

Current carrying capacity of fuse is 40 amp.

during overload it carries 9% more

over load current = 9% of 40 amp  = 9/100 *40 = 3.6 amp

total current flowing through fuse during overload = 40 amp + 3.6 amp

                                           = 43.6 amp (answer)

x = 14

Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.  Thus, 48^2 + x^2 = 50^2.  Thus, 2304 + x^2 = 2500.  Thus, x^2 = 196.  Thus, x = 14

Hope it helps <3

Answer:

Step-by-step explanation:

In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.

__

1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.

__

2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.

Answer:

(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.

:)

Answer:

y=2/5x+4.8

Step-by-step explanation:

Proof

Answer:

No, see below.

Step-by-step explanation:

10% of 150 is .1 times 150= 15

15+75=90

So, Jordan is incorrect.

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        [tex]X \times f[/tex]       [tex]( X - \bar X)^{2}[/tex]        [tex]f \times ( X - \bar X)^{2}[/tex]

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100                 5                      500         297.218     1486.088    

   Total                  91                          7531                              11580.68    

Firstly, the mean of the above data is given by;

            Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X \times f}{\sum f}[/tex]

                             =  [tex]\frac{7531}{91}[/tex]  =  82.76

Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]

                                                     =  [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

Answer:

Step-by-step explanation:

If you'd graph this function on a graphing calculator or graphing utility, you'd see quickly that the graph never touches or crosses the x-axis.  This tells us immediately that there are no real roots; all four roots are complex or imaginary.

Answer:

2 real roots and 2 imaginary roots

Step-by-step explanation:

The roots are x=i,-i,-6,-6.

Answer:

[tex] \frac{20}{3}\pi [/tex]

Step-by-step explanation:

[tex]l \widehat{(QR)} = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{ 120 \degree}{360 \degree} \times 2\pi \times 10 \\ \\ = \frac{ 1}{3} \times 20\pi \\ \\ \huge \red{ \boxed{ l \widehat{(QR)} = \frac{20}{3}\pi }}[/tex]

Answer:

-2

Step-by-step explanation:

hello

output means that you have to check in the f(x) column

the answer is -2

hope this helps

Answer:

≈ 4614 mL

Step-by-step explanation:

I'm guessing you want to add them. So, let's convert them all to mL first and then add them!

3/4 gallons (U.S. I'm assuming) ≈ 2839 mL OJ

3 pints (U.S. I'm assuming) ≈ 1420 mL GA

1.5 cups (U.S. I'm assuming) ≈ 355 mL PJ

Add them up and you get around 4614 mL of a disgusting mixture of juice. I hope this is what you were looking for!

Answer:

377 choices

Step-by-step explanation:

The following values were given in the question:

The restaurant offered

6 choices of appetizer

8 choices of main meal

5 choices of dessert.

We are also told in the question that the customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

B = Main meal = 8

C = Dessert = 5

a) The 3 choices together

ABC=6 × 8 × 5=240 choices

b) AB= Appetizer and Main meal

= 6 × 8 = 48 choices

c) AC= Appetizer and Dessert

= 6 × 5 = 30 choices

d) BC = Main meal × Dessert

= 8 × 5 = 40 choices

e) A,B,C = the customer having each of the choices only

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19 choices

The number of possible meals is calculated as:

240 choices + 48 choices + 30 choices + 40 choices + 19 choices

= 377 choices

━━━━━━━☆☆━━━━━━━

▹ Answer

2³⁷

▹ Step-by-Step Explanation

2³³ * 2¹² ÷ 2⁸

Multiply

2³³ * 2¹² * 2⁻⁸

Calculate

2³³ ⁺ ¹² ⁻ ⁸ = 2³⁷

Final Answer

2³⁷

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

x=31

Step-by-step explanation:

Easiest using two variables.

a for type A

b for type B

Part of the description says symbolically .  

Total blend quantity was  but the value for this quantity of blend not given. Information is given to account for cost of the blend.

Question asks, find the value of a.

b=2a

-

substitute into cost equation.

5.40(x)+4.30(2x)=434

x=31

Hope this helps!

Work Shown:

x - xy = z

x*1 - x*y = z

x*(1 - y) = z .... distributive rule in reverse

x = z/(1-y) ..... divide both sides by (1-y)

The distributive rule is a*(b+c) = a*b+a*c. You can also say a*(b-c) = a*b-a*c. In this case, we factored out the common factor x.

Step-by-step explanation:

The question has missing details nevertheless we can make head way with the information on ground.

Given that Laura's overall monthly living expenses are  $1,600

in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).

Say this overall amount is "x"

her saving for the month = [tex](x- 1600)[/tex]

Answer:

Option (A)

Step-by-step explanation:

Parent function of the function graphed is,

G(x) = x²

Graph shows the vertex of the given parabola is at (3, 3).

Vertex form of a parabola is,

F(x) = a(x - h)² + k

where (h, k) is the vertex.

By substituting the coordinates of the vertex in the equation,

F(x) = a(x - 3)² + 3

Since the given parabola is opening upwards, value of 'a' will be positive.

So the equation will be,

F(x) = 2(x - 3)² + 3

Therefore, from the given options, equation given in Option (A) matches the answer.

Answer:

A is the correct answer.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

We know that 50+ O + 60 = 180 since it forms at straight line

110 + O = 180

O = 180-100

O = 70

We know that O and x are equal since the are vertical angles

X = 70

C) 70 degrees

Angle POQ = 70 because supplementary angles.

Vertical angles then says that x = 70

Answer:

26 2/3 minutes:  The two boys meet after 26 2/3 minutes

Step-by-step explanation:

Distance covered by Jim = Distance covered by Bob

     (5 mph)(t)                      = (8 mph)(t - 10)

Simplify this by performing the indicated multiplication:

           (5 mph)(t)                 = (8 mph)(t) - 80 mi

or:

                 80 mi                 = (3 mph)(t), or

     80 mi

t = ----------- = 26 2/3 minutes

     3 mph

Answer:

The point will be on the line.

Step-by-step explanation:

Answer:

We can prove that ΔTVU ≅ ΔTXW because of SAS (TU = TV = TW = TX because they are all radii and all radii of the same circle are congruent, ∠UTV = ∠WTX, that is given). Because of this, UV = XW due to CPCTC so we can write:

2y - 3 = y + 4

y = 7

Answer:

Step-by-step explanation:

Let's solve (4y - 3)^2 = 72 for y.  To do this, take the square root of both sides.  This yields:

4y - 3 = ±√72 = ±√(36·2) = ±6√2

Then 4y = 3 ±6√2, or

       3 ± 6√2

y = ----------------

             4

The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.

Solution of the quadratic equation (4y - 3)2 = 72 to be determine.

Quadratic equation are the equation having maximum power 2.

Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4

Thus, The required solution of quadratic equation is y = (3±6√2)/4.

Learn more about quadratic equation here:
https://brainly.com/question/2263981

#SPJ5

Answer:

tatol price= $335.16

Step-by-step explanation:

regular price for one item= $168

sale=1/2 %

168 × 0.5/100 = 0.84 (discount)

price of discounted chair= 168-0.86

                                         = 167.16

168+167.16 = $335.16

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Answer:

[tex]C. \[/tex]   [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Required

[tex]\frac{1}{2}x^3 + 3.4y[/tex]

Substitute 2 for x and 5 for y;

The expression becomes

[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]

Multiply 3.4 by 5

[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]

---------------------------

[tex]2^3 = 2 * 2 * 2 = 8[/tex]

--------------------------

[tex]=\ \frac{1}{2} * 8 + 17[/tex]

[tex]=\ \frac{8}{2} + 17[/tex]

[tex]=\ 4 + 17[/tex]

[tex]=\ 21[/tex]

Hence;

[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Answer:

No

Step-by-step explanation:

The question is:

Are 3/5 and 6/25 equivalent fractions?

Multiply the first fraction by 5/5:

3/5 * 5/5 = 15/25

3/5 is equivalent to 15/25

15/25 is not equal to 6/25.

Answer: No

Answer:

Step-by-step explanation:

1) Let the number be x

Quotient of a number & 3 : x/3

Ten less than the quotient of a number : (x/3) -10

[tex]\frac{x}{3}-10=6[/tex]

Add 10 to both sides

[tex]\frac{x}{3}-10+10=6+10\\\\\frac{x}{3}=16[/tex]

Multiply both sides by 3

[tex]\frac{x}{3}*3=16*3\\\\x=48[/tex]

2)  Let the number be x

Quotient of a number & 5 : x/5

Seven plus  the quotient of a number : (x/5)+7

[tex]\frac{x}{5}+7=-12\\[/tex]

Subtract 7 form both sides

[tex]\frac{x}{5}+7-7=-12-7\\\\ \frac{x}{5}=-19\\[/tex]

Multiply both sides by 5

x = -19*5

x = -95

3) Let the  number be x

Difference of a number and 3 : x - 3

Eight time the difference of a  number & 3: 8*(x-3)

8*(x - 3 ) = 40

Divide both sides by 8

[tex]\frac{8*(x-3)}{8}=\frac{40}{8}[/tex]

x - 3 = 5

Add 3 to both sides

x - 3 +3 = 5 +3

x = 8

4) Let x be the number

Twice a number : 2x

The difference of twice a number and 7: 2x - 7

2x - 7 = 9

Add 7 to both sides

2x - 7 + 7 = 9 + 7

2x = 16

Divide both sides by 2

2x/2 = 16/2

x = 8

Answer:

The answer is option D.

Step-by-step explanation:

cos M = adjacent / hypotenuse

From the picture

b is the adjacent

x is the hypotenuse

so

cos M = b/x

Hope this helps you