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Solve for x using the law of Cosines!
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By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

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Answer:

n = 6 and n = 11

Step-by-step explanation:

Answer:

2.23

Step-by-step explanation:

Answer:

38 is the correct answer

Step-by-step explanation:

6 x 7 - 16 ÷ 4

BODMAS

Division first

6 x 7 - 4

Then multiplication

42 - 4

Then subtraction

=38

Answer:

Here is your answer

Step-by-step explanation:

What is 0.47 as a fraction? 0.47 as a fraction in simplest form is written as 47/100.

A fraction represents a part of a whole, written in the form of p/q where p and q are integers.

Here we will show you how to convert 0.47 decimal number to fraction form and as a mixed number with steps.

0.47 as a simplified fraction

47/100

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Answer:

47/100

Step-by-step explanation:

0.47 as a fraction in simplest form is written as 47/100.

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Answer:

Step-by-step explanation:

This is an arithmetic sequence and the common difference = - 2

You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple

You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.

A geometrice sequence would use multiplication or division to get from one term to the next.

Answer:

2

5

YES

trinomial

Step-by-step explanation:

Given expression:  [tex]5x^2+3x+6[/tex]

The degree of the polynomial is the highest exponent = 2

The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5

The constant in the polynomial is the value without a variable, i.e. 6 = YES

This expression can be called a trinomial expression since it is a polynomial with exactly three terms.

Expression given:-

So

Answer

718.25 pi or 2,256.4489

Step-by-step explanation:

The volume formula for cylinders is V=pi * r^2 * h

So plug in your numbers!

r=6.5 h=17

pi times 6.5^2 times 17 = pi*718.25 or 2,256.4

The equation for the subtraction of length of AB is -3-(-14)

The distance between two points is the measure of the distance covered by an object.

From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:

AB = y2 - y1
AB= -3 - (-14)

AB = 11 units

Hence the equation for the subtraction of length of AB is -3-(-14)

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Q = mcΔt

Q = 14 x 0.385 x (85-50)

Q = 161.7 J

The perimeter of the polygon will be 30 units. Then the correct option is D.

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

The sides length of the polygon is 10 units, 5 units, 3 units, 2.5 units, 7 units, and 2.5 units.

Then the perimeter of the polygon is given as,

P = 10 + 5 + 3 + 2.5 + 7 + 2.5

P = 30 units

The perimeter of the polygon will be 30 units. Then the correct option is D.

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Answer:

.858 cm^2

Step-by-step explanation:

Area of square - area of circle = grey corner areas

(2 * 2)  - ( pi * 1^2 ) =

4 - pi = .858 cm^2

Answer:

[tex]\boxed{4x^{2} - 48x + 144}[/tex]

Step-by-step explanation:

Given expression:

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

[tex]\rightarrowtail (2x - 12)^{2}[/tex]

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]

Now, simplify the expression.

[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]

[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]

[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]

Answer:

5.735

pythagorian theorem is a^2 + B^2 = c^2

C is the longest side of the right triangle

Answer:

0 or 6x+4=6x+4  (Technically no slope at all!!)

Step-by-step explanation:

You need to do distributive property and then solve for x!!

meaning the 2(3x+2) has to get distributive property process.

6x+4=6x+4

That shall be equal together!!! (You could stop here!!)

If continue:

6x-6x=4-4

0=0

Answer:

a) organized-

3,4,5,6,6,7,9,28

median is 6

68/8=8.5

the mean is 8.5

b) the median, because there is an outlier

Answer:

4

Step-by-step explanation:

gradient = diffrence in y / diffrence in x

= 4-0/5-4

4

Answer:

1. Where you shop at

2. The tax in the state you live in.

Hope this helps!

Answer:

1. Where you shop at2. The tax in the state you live in.

Step-by-step explanation:

Answer:

7 (1-6)

Step-by-step explanation:

you find the greatest common factor of 7 and 42.

7

7x1

42

1x42

2x21

3x14

6x7

Answer:

1,809 meters. (1 & 1/8 of a mile)

Step-by-step explanation:

quarter of a mile = 402 meters
402 * 4.5 = 1,809 meters = 1 1/8 mile

The range of the function shown on the graph is 20≤y≤60

A relation is a function if it has only One y-value for each x-value.

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

Range is all the possible values of 'y'.

When we observe the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60).

Therefore, the range of the function shown on the graph is 20≤y≤60

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What is the range of the function in the graph?

. 1≤x≤6

B. 20≤y≤60

C. 20≤x≤60

D. 1≤y≤60

Answer:

8

Step-by-step explanation:

[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]

subtract 36 from each side

[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]

or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.

Answer:

x=1

Step-by-step explanation:

if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.

so you get:

(4-2)÷2=1

therefore the equation of the axis of symetry is x=1

Answer:

or, x^2-14x-51=0

or, x^2-(17-3)x-51=0

or, x^2-17x+3x-51=0

or, x(x-17)+3(x-17)=0

or, (x-17)(x+3)=0

Either, x-17=0. Or, x+3=0

x=17. x= -3

Hence,x=17, -3

[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]

Answer:

If I am understanding the question correctly, every 6 feet in real life will be equivalent to 1 inch "on paper", or in the blueprint. Using dimensional analysis, which is a methodology for converting from one unit to another, we have:

18 feet * 1 inch / 6 feet = 3 inches

On the other axis,

24 feet * 1 inch / 6 feet = 4 inches

Therefore, the blueprint for this 18x24 foot room, with a scale of 6 feet:1inch, should be 3x4 inches.

Answer:

See below ↓↓

Step-by-step explanation:

Taking the cos ratio of the angle

⇒ The angle formed is safe

Finding furthest possible distance

Answer:

Yes, the angle formed between the ground and the ladder is safe

6.84 ft (nearest hundredth)

Step-by-step explanation:

We can use the cos trig ratio to determine the angle made between the 20ft ladder and 3ft from the base of the house (see first attached image for sketch).

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

[tex]\sf \implies \cos(\theta)=\dfrac{3}{20}[/tex]

[tex]\sf \implies \theta=\cos^{-1}\left(\dfrac{3}{20}\right)[/tex]

[tex]\sf \implies \theta=81.37307344..^{\circ}[/tex]

Therefore, as the ladder is forming an 81.37° angle and 81.37...° > 70° the angle formed between the ground and the ladder is safe.

To find the furthest possible distance the ladder can be placed, set [tex]\theta[/tex] to 70° (max safe angle) and the hypotenuse (ladder length) to 20, then solve for A (see second attache image for sketch):

[tex]\sf \implies \cos(70^{\circ})=\dfrac{A}{20}[/tex]

[tex]\sf \implies A=20\cos(70^{\circ})[/tex]

[tex]\sf \implies A=6.840402867...\: \sf ft[/tex]

So the furthest possible distance the ladder can be placed to maintain a safe angle is 6.84 ft (nearest hundredth).

Answer: Center: (13, -11)

              Radius: 19

Step-by-step explanation: yeah

The comparison of the number of stuffed animals in both years is an illustration of inequalities

The statement that compares the number of stuffed animals is 189909 < 198909

The given parameters are:

By comparing the number of stuffed animals in both years, we have:

198909 > 189909 or 189909 < 198909

Hence, the statement that compares the number of stuffed animals is 189909 < 198909

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