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Answer:

122.3 degrees

Step-by-step explanation:

To get the measure, we use the appropriate method

The method we are going to use here is the cosine rule

We have the general form as;

a^2 = b^2 + c^2 -2bc Cos A

where a = 25

b = 9 and c = 19

Substituting these values;

25^2 = 9^2 + 19^2 - 2(9)(19) Cos A

183 = -342 cos A

cos A = -183/342

cos A = -0.54

A = arc cos -0.54

A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65

= 122.35

Answer:

i think c

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Given

4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression

= 4(0.25 + 5) - 8(0.5)

= 4(5.25) - 4

= 21 - 4

= 17

Answer:

a right angle

b acute angle

c obtuse angle

d obtuse angle

e acute

f obtuse

Answer:

3 is 18

4 is 14

5 is 10

6 is 6

I hope this helps

Answer:

Just add them up and you will get this answer

Step-by-step explanation:

Just add them up and you will get this answer

The area of the given rectangle in simplest radical form is [tex]2x(\sqrt{10} + \sqrt{75})[/tex].

Perimeter is the sum of all the sides of any given 2D plane figure except circle.A circle has a perimeter or circumference of 2πr.

According to the given question we have to write an expression in simp[lest radical form that represents the area of the rectangle.

We know area of a rectangle is product of it's length and width.

Given length is = [tex]\sqrt{2x} + \sqrt{15x}[/tex] and width is = [tex]2\sqrt{5x}[/tex].

∴ The area of the rectangle will be = [tex](\sqrt{2x} + \sqrt{15x})[/tex][tex](2\sqrt{5x})[/tex] .

= [tex]2\sqrt{10x^2}[/tex] + [tex]2\sqrt{75x^2}[/tex].

= [tex]2x\sqrt{10} + 2x\sqrt{75}[/tex].

= [tex]2x(\sqrt{10} + \sqrt{75})[/tex].

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Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

The polynomial function of degree 7 with the given zeros and multiplicities is: f(x) = x³(x + 2)³(x - 2)

To find a polynomial function with the specified zeros and multiplicities, we can construct it using the factors that correspond to each zero and multiplicity.

Since -2 has a multiplicity of 3, it means it appears three times as a zero. Similarly, 0 has a multiplicity of 3, and 2 has a multiplicity of 1.

A polynomial function with these zeros and multiplicities can be written as:

f(x) = (x + 2)³ × x³ × (x - 2)

To make it a polynomial of degree 7, we can multiply it by an additional linear factor:

f(x) = (x + 2)³ × x³ × (x - 2) × (x - r)

Where "r" is a constant representing the last factor. This factor ensures the degree of the polynomial is 7.

Now, we need to find the value of "r" to complete the polynomial. Since we already have three factors with multiplicity 3 and one factor with multiplicity 1, the polynomial has already reached its degree of 7.

Therefore, we don't need to include the "x - r" factor, and the final polynomial is:

f(x) = (x + 2)³ × x³ × (x - 2)

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The polynomial function of degree 7 with -2 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 2 as a zero of multiplicity 1 is f(x) = x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2.

To find a polynomial function of degree 7 with the given zeros and multiplicities, we can start by constructing the factors of the polynomial.

Since -2 is a zero of multiplicity 3, we have the factor (x + 2)^3. Similarly, since 0 is a zero of multiplicity 3, we have the factor x^3. Lastly, since 2 is a zero of multiplicity 1, we have the factor (x - 2).

Multiplying these factors together, we obtain:

(x + 2)^3 * x^3 * (x - 2)

Expanding this expression, we get:

(x^3 + 6x^2 + 12x + 8) * x^3 * (x - 2)

To simplify further, we multiply the terms:

(x^6 + 6x^5 + 12x^4 + 8x^3) * (x - 2)

Expanding again, we obtain:

x^7 - 2x^6 + 6x^6 - 12x^5 + 12x^4 - 24x^3 + 8x^3 - 16x^2

Combining like terms, we get:

x^7 + 4x^6 - 12x^5 + 20x^4 - 16x^2

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Step-by-step explanation:

The left side represent the tens place of the number, and the right side represent the one sides of the number. So the numbers are

12,12,13,14,18,19,19, 20,23,26,27,31,31,31,32,34,41,44,45,48.

a. There are 20 terms so this equation 20/2=10 means the 10th term will be the median. make sure to also include the number 11th term becuase the number of terms is even. The 10th and 11th term are 26,27 so the median is the midpoint.

[tex] \frac{26 + 27}{2} = 26.5[/tex]

The median is 26.5

b. The range is maximum value minus minimum value.

[tex]48 - 12 = 36[/tex]

c. The mode is the number that appear the most

That number is 31.

d. 20 students took apart of this survey.

may be QR also equal to 34

Answer: 2

Step-by-step explanation:

Given

The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]

According to the remainder theroem

[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]

Put [tex]x=1[/tex] in the polynomial to get the remainder

[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]

So, we get the remainder 2.

Answer:

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here V = 36π , then

[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3

Answer:

Step-by-step explanation:

Answer:

inglese please

Step-by-step explanation:

Answer:[tex]18+1.5c[/tex]

Step-by-step explanation:

Given

A large cheese pizza costs $18

Each topping add on costs $1.50

for c toppings added, the prize becomes

[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

Answer:

73

Step-by-step explanation:

9.2  x 10 - 3 - 1.3 x 10 - 3

92 -3 - 13- 3

73 is the answer if that the question

Answer:

[tex](9.2 \times {10}^{ - 3}) - (1.3 \times {10}^{ - 3} ) \\ \\ = { \tt{(9.2 - 1.3) \times {10}^{ - 3} }} \\ \\ = { \tt{7.9 \times {10}^{ - 3} }}[/tex]

Answer: B

Step-by-step explanation: 65/100 = 65%

Answer:

4th option 0,5,10,15

Step-by-step explanation:

Let's check if the first choice is geometric.

2*3 = 6. is 6*3 = 18, yes! is  18*3 = 54. Yep! its geometric

the second option multiplies by -2, it is geometric

the third option multiplies by 1/5, it is geometric

The fourth option does not multiply by anything common, it is Not geometric

Answer:

0,5,10,15 is not the sequence of geometric.

Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.

Step-by-step explanation:

This is totally correct!

Answer:

??????

I don't exactly see the following in your question srry :(

But I think it should be 2a^7 + 5a^7 = 7a^7

Answer:

(2+5)a^7

Step-by-step explanation:

i took the test hope this helps ^^

Answer:

150 degrees.

Step-by-step explanation:

We know, 1 Hour angles = 15 Degrees

So, 10 hour walking = 10*15 = 150 degrees

Hope this will help. Please mark me brainliest.

Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

= $2100

Answer:

Ok so the probability  would be 16%(can be round to)

Step-by-step explanation:

Answer:

Hello! answer: 18

Step-by-step explanation:

AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!

Answer:

11.2square feet

Step-by-step explanation:

Area of a sector = theta/360 * πr²

theta is the central angle = 80degrees

radius r = PC = 4ft

Substitute

Area of the sector = 80/360 * 3.14 * 4²

Area of the sector = 80/360 * 3.14 * 16

Area of the sector = 4,019.2/360

Area of the sector = 11.2ft²

Hence tthe area of the blue sector is 11.2square feet

Answer:

15 ≤ w ≤ 19

Step-by-step explanation:

Given that :

Length of garden = 14 feets

Perimeter must be atleast 58 but no more than 66

The range of value for the width ;

Perimeter = 2 length + 2 width

Perimeter = 2(14) + 2w

If perimeter = 58

58 = 28 + 2w

58 - 28 = 2w

30 /2 = w

w = 15

If perimeter = 66

66 = 28 + 2w

66 - 28 = 2w

38 = 2w

w = 38 / 2

w = 19

Range of the width should be atleast 15 and not more Than 19

Hence,

15 ≤ w ≤ 19