solve 3(11)× =3,993 for x​

Step-by-step explanation:

First you have to add up all of the numbers that make up the perimeter of this arrow.

3+3+1+.5+.5+1.8+1.8=11.6

You than want to divide this number by 2 to find the half perimeter you have to work with, which is 5.8.

A simple shape you can make is a square, with each side being 1.45 m.

Answer:

The angle subtended by an arc at the center is double the angle subtended by it at any  point on the remaining part of the circle.

Step-by-step explanation:

Let us consider the image attached.

Center of circle be O.

Arc AB subtends the angle [tex]\angle APB[/tex] on the circle and [tex]\angle AOB[/tex] on the center of the circle.

To prove:

[tex]\angle AOB = 2 \times \angle APB[/tex]

Proof:

In [tex]\triangle PAO[/tex]: AO and PO are radius of the circles so AO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, [tex]\angle PAO = \angle OPA[/tex]

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

[tex]\angle AOQ = \angle PAO + \angle OPA=2 \times \angle APO .... (1)[/tex]

Similarly,

In [tex]\triangle PBO[/tex]: BO and PO are radius of the circles so BO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, [tex]\angle PBO = \angle OPB[/tex]

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

[tex]\angle BOQ = \angle PBO + \angle OPB=2 \times \angle BPO .... (2)[/tex]

Now, we can see that:

[tex]\angle AOB = \angle AOQ+\angle BOQ[/tex]

Using equations (1) and (2):

[tex]\angle AOB = 2\angle APO+2\angle BPO\\\angle AOB = 2(\angle APO+\angle BPO)\\\bold{\angle AOB = 2(\angle APB)}[/tex]

Hence, proved.

Hope you could understand.

If you have any query, feel free to ask.

Answer:

you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285

Step-by-step explanation:

Answer:

0$

Step-by-step explanation:

simple

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▹ Answer

x = 3

▹ Step-by-Step Explanation

[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]

Hope this helps!

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Answer:

40°

Step-by-step explanation:

x+140=180°(angle on a straight line)

x=180-140

x=40°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

[tex] \rm \large\longrightarrow \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 140 \degree \: [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 40 \degree[/tex]

Answer:

C. -2(-2)

Step-by-step explanation:

A. -2(-1/5) = 1

B. -2(1/2)=1

C. -2(-2)=4

D. -2(2)=-4

Answer:

63/125

Step-by-step explanation:

Turn the decimal .504

=> 504/1000

=> 504/1000 = 252/500

=> 252/500 = 126/250

=> 126/250 = 63/125

=> 63/125 cannot be simplified anymore.

So, 63/125 is the simplified fraction of .504

Answer:

x = 33

Step 1:

First, let's add the values together from both parentheses.

2x + x = 3x

1 + (-10) = -9

Now we are left with:

3x - 9 = 90.

Step 2:

Add 9 on the left side to cancel out the 9. Add it to the right side.

3x = 99

Finally, divide both sides by 3 to get our answer.

3x / 3 = x

99 / 3 = 33

x = 33

Answer:

0.035m = 22.40

Answer:

15.75 ft^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h where r is the radius and h is the height

We know the diameter is 3 so the radius is 1/2 the diameter or 3/2

The height is 7 and we will use 3 for pi

V = 1/3 (3) (3/2)^2 *7

V = 15.75 ft^3

Answer:

6450g

Step-by-step explanation:

1kg = 1000g

6.45kg = 6450

The watermelon weighs 6450 grams.

Given that a watermelon weighs 6.45 kilograms.

We need to convert its unit into grams.

To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.

The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:

Weight in grams = Weight in kilograms × 1000

Let's do the math:

Weight in grams = 6.45 kilograms × 1000 = 6450 grams

So, the watermelon weighs 6450 grams.

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Answer:

B.

Use eye contact and speak clearly and deliberately.

Step-by-step explanation:

let me know if you have any questions

Answer:

b

Step-by-step explanation:

because

Answer:

8 ducks, 12 cows

Step-by-step explanation:

Let the ducks be x in number and cows be y in number

ATQ, x+y=20 and 2x+4y=64, solving we get y=12 and x=8.

If farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs. Mr. McDonald has 8 ducks and 12 cows.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs.

Suppose the number of head and legs be x and y respectively.

If His animals have a total of 20 heads and 64 legs,

x+y=20

2x+4y=64,

Solving the above equations we get y=12 and x=8.

Thus, if a farmer McDonald raises ducks and cows. His animals have a total of 20 heads and 64 legs. Mr. McDonald has 8 ducks and 12 cows.

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Answer:

76 degrees.

Step-by-step explanation:

Let as consider O is the center of the circle . So from the figure it is clear that

[tex]\angle AOB=44^{\circ}[/tex]

[tex]\angle COD=118^{\circ}[/tex]

By central angle theorem, central angle subtended by an arc is twice of inscribed angle of the same arc.

We know that, [tex]\angle BAD=97^{\circ}[/tex] and angle BOD is the central angle subtended by arc BD.

[tex]\angle BOD=2\times \angle BAD[/tex]

[tex]\angle BOD=2\times 97^{\circ}[/tex]

[tex]\angle BOD=194^{\circ}[/tex]

Now,

[tex]\angle BOD=\angle BOC+\angle COD[/tex]

[tex]194^{\circ}=\angle BOC+118^{\circ}[/tex]

[tex]194^{\circ}-118^{\circ}=\angle BOC[/tex]

[tex]76^{\circ}=\angle BOC[/tex]

[tex]m(arc(BC))=76^{\circ}[/tex]

Therefore, the measure of arc BC is 76 degrees.

Answer:

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use cosine

cos∅ = adjacent / hypotenuse

From the question

The hypotenuse is x

The adjacent is 10

Substitute these values into the above formula and solve for x

That's

Divide both sides by cos 37

x = 12.52135

We have the final answer as

Hope this helps you

Answer:

probably 16.5

Step-by-step explanation:

Answer:not true

Step-by-step explanation:

To say not true we need only one example so we can take x as -5

[-5]= [-5+1]

5 not equal with 4

Answer:

V=w*h*l

Step-by-step explanation:

w=width

h=height

l=length

volume = w*h*l

volume = w*h*l

volume = w*h*l

Answer:

x = 2

Step-by-step explanation:

Probability that the marble comes to rest in the shaded region is equal to the ratio of the shaded area to the total area.

Probability 'P' = [tex]\frac{A'}{A}[/tex]

Area of the shaded region (A')= (x + 1)(x + 2)

Total area of the figure (A) = (2x + 1)(3x + 2)

P = [tex]\frac{(x+1)(x+2)}{(2x+1)(3x+2)}=\frac{3}{10}[/tex]

10(x + 1)(x + 2) = 3(2x + 1)(3x + 2)

10(x² + 3x + 2) = 3(6x² + 7x + 2)

10x² + 30x + 20 = 18x² + 21x + 6

(18x² - 10x²) + (21x - 30x) + (6 - 20) = 0

8x² - 9x - 14 = 0

x = [tex]\frac{9\pm\sqrt{(-9)^2-4(8)(-14)} }{2(8)}[/tex]

x = [tex]\frac{9\pm \sqrt{81+448}}{16}[/tex]

x = [tex]\frac{9\pm 23}{16}[/tex]

x = -[tex]\frac{7}{8}, 2[/tex]

Therefore, positive value of x = 2 will be the answer.

Answer:

we need more information

Step-by-step explanation:

Answer:

19.45

Step-by-step explanation:

The median is the middle number.  Put the data in order from smallest to largest

16.3, 17.8,17.8  ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4

There are 12 pieces of data,

16.3, 17.8,17.8  ,18.0, 18.7,19.3,         19.6,20.1,20.5, 21.9, 25.2 ,25.4

The median lies between the 6th and 7th piece

Add the 6th and 7th together and divide by 2

(19.3+19.6)/2 =19.45

Answer:

[tex]\large \boxed{\mathrm{19.45}}[/tex]

Step-by-step explanation:

Median of a data set is the middle value.

The data is to be arranged from smallest to largest.

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Find the middle value.

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Average the two middle numbers.

(19.3+19.6)/2 = 19.45

The median of the data set is 19.45.

Answer:

Step-by-step explanation:

[tex]7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9<7-9\\\\2x<-2\\\\\frac{2x}{2}<\frac{-2}{2}\\\\x<-1[/tex]

Find the price before the 15% profit:

2500 / 1.15 = 2173.91

Now multiply the original cost by 1 + 38%:

2173.91 x 1.38 = 2999.99

Answer: 2.999.99 ( may need to round to 3,000)

Answer: x = 150

Step-by-step explanation:

See the liner pair of angle 70 will be 110 degrees.

Then using angle sum property third angle will be

Third angle = 180 - 150

Third angle of the triangle = 30

Now linear pair of the 30 degree angle

30+x = 180

x = 180-30

x = 150

Therefore answer is option e x = 150.

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The measure of the value of angle x is 150°, and the correct option is E

Linear pair of angles are formed when two lines intersect each other at a single point.

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

BY applying linear pair angles;

[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]

The sum of the three angles is 180.

[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]

The measure of the value of angle x is;

[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]

Hence, the measure of the value of angle x is 150°, and the correct option is E.

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Solution :

LHS = 1/(secA -1) + 1/(secA+1)

= [secA+1+secA-1]/[(secA-1)(secA+1)]

= (2secA)/[sec²A-1]

=(2secA)/tan²A

= (2/cosA)/(sin²A/cos²A)

= ( 2cosA)/sin²A

= 2(1/sinA)(cosA/sinA)

= 2cosecAcotA

= RHS

••••

Answer:

27π inch^3

Step-by-step explanation:

Answer:

-7 and 2 or 8 and 17

Step-by-step explanation:

If we let the numbers be [tex]x[/tex] and [tex]x+9[/tex], the equation to solve this problem will be as follows:

[tex]x(x+9)=5(x+x+9)+11[/tex]

Solving the equation for [tex]x[/tex], we get:

[tex]x(x+9)=5(x+x+9)+11[/tex]

[tex]x(x+9)=5(2x+9)+11[/tex] (Combine like terms)

[tex]x^{2} +9x=10x+45+11[/tex] (Use the Distributive Property of Multiplication to multiply expressions)

[tex]x^{2} +9x=10x+56[/tex] (Combine like terms)

[tex]x^{2} -x-56=0[/tex] (Subtract [tex]10x[/tex] and [tex]56[/tex] from both sides of the equation)

[tex]x^{2} -8x+7x-56[/tex] (Split [tex]-x[/tex])

[tex]x(x-8)+7(x-8)=0[/tex] (Factor by taking a common term out)

[tex](x-8)(x+7)=0[/tex] (Factor by taking a common term out)

[tex]x-8=0[/tex] or [tex]x+7=0[/tex] (Use the Zero Product Property)

[tex]x=8[/tex] or [tex]x=-7[/tex]

Therefore, the first number could be either -7 or 8, and the second number could be -7 + 9 = 2 or 8 + 9 = 17, respectively. Hope this helps!

Answer:

3

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i hope u have a great day.

Answer:

[tex]\boxed{4w+40}[/tex]

Step-by-step explanation:

Use the distributive property to evaluate the equation.

-4(-w - 10)

4w + 40

-4 * -w = 4w because two negatives cancel to make a positive value.

-4 * -10 = 40 for the same reason.

Answer:

B

Step-by-step explanation:

well if we draw the graph we have the following image, and the only one that applies is

B

because 4>3

Answer:

This problem shows an expression, not an equation.

It cannot be solved.

An equation needs an equal sign.