If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

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There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Here, total number of cards = 52

         Number of Withdrawn cards = 3

Possibilities of different sequences of 3 playing cards = 52 X 51 X 50

                                                                                          = 132600

Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

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Answer:

132,600

Step-by-step explanation:

To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:

P(n, k) = n! / (n-k)!

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

P(52, 3) = 52! / (52-3)!

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

P(52, 3) = 52 x 51 x 50

P(52, 3) = 132,600

Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

Answer:

hope you can understand

The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

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The residual value will be equal to -1.

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

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Two methods Fred could use to solve the equation are

The solution for the function is x ≅ -0.7 OR x ≅ - 3.3

From the question, we are to solve the given quadratic equation

Two methods Fred could use to solve the equation are

The given quadratic function is

f(x) = 4x² + 16x+9

Now, we are to solve f(x) = 0 for x

That is,

4x² + 16x+9 = 0

Using the formula method to solve the equation

[tex]x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]

In the equation,

a = 4, b = 16, and c = 9

∴ [tex]x =\frac{-16 \pm \sqrt{16^{2}-4(4)(9) } }{2(4)}[/tex]

[tex]x =\frac{-16 \pm \sqrt{256-144 } }{8}[/tex]

[tex]x =\frac{-16 \pm \sqrt{112 } }{8}[/tex]

[tex]x =\frac{-16 \pm 10.58 }{8}[/tex]

[tex]x =\frac{-16+ 10.58 }{8}[/tex] OR [tex]x =\frac{-16- 10.58 }{8}[/tex]

[tex]x =\frac{-5.42 }{8}[/tex] OR [tex]x =\frac{-26.58 }{8}[/tex]

x = -0.6771 OR x = - 3.3229

x ≅ -0.7 OR x ≅ - 3.3

Hence, the solution for the function is x ≅ -0.7 OR x ≅ - 3.3

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Answer:

circle graph and bar graph

Step-by-step explanation:

they visualize because they are not simply just words, they make colorful graphs

Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

The given parameters are:

Slope, m = 3/4

Point, (x,y) = (3,-2)

The equation of the line is calculated using:

y - y1 = m(x - x1)

Substitute the known parameters

y + 2= 3/4(x - 3)

From the question;

Andy's equation is y + 2 = 3/4(x - 9/4)

The above equation is different from the actual equation y + 2= 3/4(x - 3)

Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

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Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:

L - Nv = 3/4(Ny - Nv)

For the x-coordinate, we have that:

[tex]x + 4 = \frac{3}{4}(5 + 4)[/tex]

[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]

[tex]x = \frac{11}{4}[/tex]

x = 3.75

For the y-coordinate, we have that:

[tex]y = \frac{3}{4}(2)[/tex]

[tex]y = \frac{6}{4}[/tex]

y = 1.5.

The ordered pair that represents the location of the layover is (3.75, 1.5).

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Answer:

108 square units

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

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Answer:

The answer would be 14 cm

[tex]V = \frac{4pi(1.5)^3}{3}[/tex]

[tex]4.5pi = 14.3[/tex]

(pi = π)

Your welcome :)

Answer:

14 cm

Step-by-step explanation:

THE SIMPLE ANSWER

Answer:

96

Step-by-step explanation:

Each day is 24 hours.

2 days = 2 × 24 hours = 48 hours

30-minute slot = 0.5-hour slot

48 hours / 0.5 hours = 96

Answer: 96

Answer:

96

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

Answer:

83,752,000

Very positive with this answer

Answer:

83,752,200

Step-by-step explanation:

please give me brainlist

Answer:

-5 or 5

Step-by-step explanation:

the absolute value of -5 is 5. The absolute value of 5 is also 5.

Hope this helps :)

Answer: x = -1 , y = -1

Using the probability concept, it is found that the correct statements are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

Answer:

A.0

Step-by-step explanation:

Vertical angles are angles that are opposite of each other when two lines cross

Hope This Helped

Answer:

y = -mx - 13.

Step-by-step explanation:

21-y-mx=34

Add y to both sides

21 - mx = 34 + y

Subtract 34 from both sides

-13 - mx = y

Rearrange:

y = -mx - 13.

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

Answer:

x = 4

Step-by-step explanation:

[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]

Answer:

3rd one

Step-by-step explanation:

it is the only one with a function and a straight line

Answer:

[tex]x =\sqrt 2[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

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