need help pleaseeeeeeeeeeeeeeeeeeeeee

Using trigonometric functions, note that the value of x, in this case, is 4√3. See the explanation below.

We can use trig functions since this is a right triangle

The side opposite the right angle is 8, that is the hypotenuse

We know the opposite side is x

sin theta = opp/ hyp

sin 60 = x/8

Multiply each side by 8

8 sin 60 =x

sin 60 = √(3)/2

8√3/2 =x

4 √3 =x

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Full Question:

What is the value of x?

a: 4

b: 43√

c: 8

​ d: 83√ ​

The figure contains a right triangle. The side opposite the right angle is 8. The side opposite the 60 degree angle is x.

See attached image.

Answer:800 Meters

Step-by-step explanation:

400X2= 800

If value of a₁=1 and equation is aₙ= -5aₙ₋1  then value of  a₆ is -3125

If a₁=1 and equation aₙ= -5aₙ₋1

a₁= -5a₀

a₂= -5a₁

a₂= -5

a₃= -5a₂ = -5(-5)= 25

a₄=-5a₃ = -5(25) =-125

a₅=-5a₄ = -5(-125)=625

Value of a₆=-5a₅ = -5(625)=-3125

Hence, if value of a₁=1 and aₙ= -5aₙ₋1  then value of  a₆ is -3125

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Susan would need 6(3/8) yards of fabric.

5/8 yards of fabric are left over after making the aprons.

Susan does not have enough fabric left to make another apron

We have,

Part A:

To make one apron, Susan needs 1 3/4 + 3/8 = 2 1/8 yards of fabric.

To make 3 aprons, Susan would need 3 × 2 1/8 = 6 3/8 yards of fabric.

Part B:

Susan needs 6 3/8 yards of fabric to make 3 aprons.

If she originally had 7 yards of fabric, then the amount of fabric left after making the aprons would be:

7 - 6 3/8 = 5/8 yards of fabric.

So, 5/8 yards of fabric are left over after making the aprons.

Part C:

Susan needs 2 1/8 yards of fabric to make one apron.

She has 5/8 yards of fabric left over after making 3 aprons.

Therefore, Susan does not have enough fabric left to make another apron because 5/8 yards is less than 2 1/8 yards required to make one apron.

Thus,

Susan would need 6(3/8) yards of fabric.

5/8 yards of fabric are left over after making the aprons.

Susan does not have enough fabric left to make another apron

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Answer:

  f(x) = x² +4x -12

Step-by-step explanation:

You want the standard form equation of the quadratic represented by the values in the table.

The table shows the minimum is -16 at x = -2. That is, the vertex is at (-2, -16).

The table also shows the function value increases by 1 to -15 when x is ±1 unit from its vertex value. That increase of 1 tells you the leading coefficient is 1.

The vertex form of a quadratic equation is ...

  f(x) = a(x -h)² +k

where 'a' is the leading coefficient, and (h, k) is the vertex.

For this function, we have a=1, (h, k) = (-2, -16), so the vertex form of the equation is ...

  f(x) = (x +2)² -16

Expanding the vertex form equation, we get ...

  f(x) = (x² +4x +4) -16

  f(x) = x² +4x -12

Isaiah multiplied 3.92 and 47.6 together, with a result of 186.592 is correct, option D is correct.

To multiply decimals, we need to ignore the decimal point initially and treat the numbers as whole numbers.

We then multiply the numbers as usual and count the total number of decimal places in the numbers being multiplied.

We place the decimal point in the answer by counting the same number of decimal places from the right-hand side of the product.

In this case, if we ignore the decimal point initially and treat 3.92 and 47.6 as whole numbers, we get:

392 × 476 = 186,592

We then count the total number of decimal places in the numbers being multiplied, which is two (one from 3.92 and one from 47.6).

We place the decimal point in the answer by counting two decimal places from the right-hand side of the product, which gives us:

3.92 × 47.6 = 186.592

Therefore, Isaiah's result of 186.592 is correct.

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Isaiah multiplied 3.92 and 47.6 together, with a result of 186.592. Which of the following statements is true?

Isaiah's result is incorrect. He place the decimal point in the wrong place.

Isaiah's result is incorrect. He made a mistake when adding the partial products together.

Isaiah's result is incorrect. He made a mistake in multiplying.

Isaiah's result is correct.

The probability that a car stops at the light for more than 30 seconds is approximately 0.714, or 71.4%.

To calculate the probability that a car stops at the light for more than 30 seconds, we need to first calculate the total time of the traffic light cycle, which is:

60 seconds (red) + 10 seconds (yellow) + 90 seconds (green) = 160 seconds

Next, we need to calculate the probability that a car arrives at the traffic light during each color phase. Since arrival times are uniformly distributed, the probability of a car arriving during any particular phase is simply the duration of that phase divided by the total cycle time. Therefore:

- Probability of arriving during red phase = 60/160 = 0.375
- Probability of arriving during yellow phase = 10/160 = 0.0625
- Probability of arriving during green phase = 90/160 = 0.5625

Now, to calculate the probability that a car stops at the light for more than 30 seconds, we need to consider two cases:

1. The car arrives during the red or yellow phase: In this case, the car will stop at the light for at least 60 seconds (the duration of the red phase) before the light turns green. Therefore, the probability of stopping for more than time 30 seconds in this case is:

Probability of arriving during red phase * Probability of stopping for more than 30 seconds during red phase = 0.375 * (60-30)/60 = 0.25

Probability of arriving during yellow phase * Probability of stopping for more than 30 seconds during yellow phase = 0.0625 * (90-30)/90 = 0.375

Total probability for this case = 0.25 + 0.375 = 0.625

2. The car arrives during the green phase: In this case, the car will not stop at the light if it arrives before the end of the green phase, which happens with probability:

Probability of arriving during green phase * Probability of arriving before end of green phase = 0.5625 * 90/160 = 0.315625

Therefore, the probability of stopping for more than 30 seconds in this case is:

Probability of arriving during green phase * Probability of stopping for more than 30 seconds during green phase = 0.5625 * 0.5 = 0.28125

Total probability for this case = 0.315625 * 0.28125 = 0.0888671875

Finally, we can add the probabilities from both cases to get the total probability of stopping for more than 30 seconds:

Total probability = Probability from case 1 + Probability from case 2 = 0.625 + 0.0888671875 = 0.7138671875

Therefore, the probability that a car stops at the light for more than 30 seconds is approximately 0.714, or 71.4%.

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The number of children and the adults present at the pool in the day was 223 and 351 respectively.

Given that, there are 574 people in a day swimming at public pool, the daily prices are $1.75 for children and $2.25 for adults.

The receipts for admission totaled $1180.00.

Let the number of adults be a and that the children be c,

So,

a + c = 574

a = 574 - c.........(i)

2.25a + 1.75c = 1180............(ii)

Put eq(i) in eq(ii)

2.25(574-c) + 1.75c = 1180

1291.5 - 2.25c + 1.75c = 1180

0.5c = 111.5

c = 223

Put the value of c in the eq(i)

a = 574-223

a = 351

Hence, the number of children and the adults present at the pool in the day was 223 and 351 respectively.

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The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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Answer:

The sequence defined by an = n for n ≥ 1 can be written as:

a1 = 1

a2 = 2

a3 = 3

a4 = 4

Therefore, the first four terms of the sequence are 1, 2, 3, and 4.

15) The height of the hotel is given as follows: 250 foot.

16) A reasonable estimate would be for the height of the building to be taller than the height of the tower, as it casts a larger shadow.

The height of the hotel is obtained applying the proportions in the context of the problem.

The proportions are applied by a rule of three, between the height of the building and it's shadow, as follows:

x foot - 25 feet

120 foot - 12 feet

The height of the building is the height of the shadow multiplied by 10, hence the height is given as follows:

25 x 10 = 250 foot.

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Answer:

5 is rounded to 5.0

Step-by-step explanation:

The height of the tower is about 250 feet.

We can use trigonometry to determine the height of the tower.

Let's label the height of the tower as "h". Then we can use the sine function:

sin(39) = h/400

Multiplying both sides by 400, we get:

h = 400 × sin(39)

h = 250.11.

Hence, the height of the tower is about 250 feet.

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The jet plane taking off is 100 million / 1 million = 100 times louder than the conversation.

According to the decibel scale, a sound that is 10 decibels higher is 10 times as loud. Therefore, a sound that is 20 decibels higher is 10 times 10, or 100 times as loud. This means that a 120-dB jet plane taking off is 100 times as loud as a sound that is 20 decibels lower, which is a 40-dB conversation.

To find out how many more times louder a 120-dB jet plane taking off is than a 40-dB conversation, we can divide the loudness of the jet plane by the loudness of the conversation

120 dB / 40 dB = 3

This means that a 120-dB jet plane taking off is 3 times as loud as a 40-dB conversation. However, we need to remember that the decibel scale is logarithmic, which means that each increase of 10 decibels represents a tenfold increase in loudness. Therefore, a 30-dB increase represents a thousandfold increase in loudness (10 to the power of 3).

Since the difference between 120 dB and 40 dB is 80 dB, which is 8 times 10 dB, the loudness of the jet plane taking off is 10 to the power of 8, or 100 million, times as loud as the conversation.

Therefore, the jet plane taking off is 100 million / 1 million = 100 times louder than the conversation.

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The calculated value of the perimeter of the triangle LMN is 25 units

The formula for calculating the perimeter of triangle LMN is expressed as:

Perimeter of LMN = LM + MN + LN

From the figure

LN = 12 units

Then, we have

LM = MN = √(3-(-3))²+(5-2)²

LM = MN = √6²+3²

LM = MN = √45

LM = MN = 6.71 units

The perimeter of triangle LMN is

Perimeter = 12 units + 2(6.71) units

The perimeter of triangle LMN = 25.42 units

Hence the perimeter of the triangle( LMN) round to the nearest unit is 25 units

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The perimeter of the given polygon is 32 cm.

Perimeter is the sum of the length of the sides used to make the given figure.

In the given figure, name the points given as E, F, G, and H. The naming of the points is shown in the image below.
Now, the two-tangent theorem states that if two tangents of the circle are drawn such that the tangents intersect each other at a point outside the circle then the tangents will be congruent to each other.

As per the theorem,

AE ≅ AH; AE = AH = 3 cm

BH ≅ BG; BH = BG = 4 cm

CF ≅ CG; CF = CG= 5 cm

Also, since∠B ≅ ∠D,

BG = BH = DE = DF = 4 cm

Therefore, the perimeter of the given figure is,

Perimeter = AE+DE+DF+CF+CG+BG+BH+AH

                 = 3 cm + 4 cm + 4 cm + 5 cm + 5 cm + 4 cm + 4 cm + 3 cm

                 = 32 cm

Hence, the perimeter is 32 cm.

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The slope of the line that passes through the points (6, 545) and (4, 225) is equal to 160.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (225 - 545)/(4 - 6)

Slope (m) = -320/-2

Slope (m) = 160.

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 160.

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Therefore, the distance of the submarine from P is approximately 1035.5 m.

Trigonometry is a branch of mathematics that deals with the study of relationships between the sides and angles of triangles. It is particularly concerned with the measurement of angles, the computation of trigonometric functions such as sine, cosine, and tangent, and their applications to real-world problems, including engineering, physics, and astronomy. Trigonometry also includes the study of trigonometric identities and equations, as well as the use of trigonometric formulas to solve problems involving triangles and angles.

Here,

Let the distance between P and X be d and the distance between X and S be x. We are given that:

The bearing of S from P is 030°.

The bearing of S from Q is 085°.

The distance between P and Q is 1000 m.

To find x, we can use the Law of Sines, which states:

sin A / a = sin B / b = sin C / c

where A, B, and C are the angles of a triangle and a, b, and c are the lengths of the opposite sides. In our case, we have:

A = 180° - 30° = 150° (angle XPQ)

B = 180° - 85° = 95° (angle XQP)

C = 180° (angle XPS)

We also have:

a = 1000 m (PQ)

b = d (PX)

c = x (XS)

Using the Law of Sines, we can write:

sin 150° / 1000 = sin 95° / d = sin 180° / x

Solving for d, we get:

d = sin 95° / sin 150° * 1000

= 893.3 m (approx)

Solving for x, we get:

x = sin 180° / sin 150° * 893.3

= 1035.5 m (approx)

To make a scale drawing, we can choose a suitable scale, such as 1 cm = 100 m. We can then draw a line segment of length 10 cm to represent the distance between P and Q, and draw perpendiculars from P and Q to represent the bearings of the submarine. We can then use a protractor to measure the angles and draw the lines for the bearings, and measure the distance between the lines to find the distance of the submarine from P.

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Since the two lines above are parallel, if the slope of the red line is 5, then the slope of the green line is equal to 5.

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics and Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

This ultimately implies that, the slope of these two lines are equal and the same, and as such, we have the following:

Slope of red line = Slope of green line

5 = 5

In conclusion, we can reasonably infer and logically deduce that the slope of the green line is equal to 5.

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The equation for the linear equation perpendicular to y - 9 = - x is:

y = x +1

Two linear equations are perpendicular if the product betwen the slopes is -1.

Here we want a line perpendicular to:

y - 9 = -x

isolating y:

y = -x + 9

Then the slope is -1, thus, the slope of the perpendicular line a is:

a*-1 = -1

a = -1/-1

a = 1

Then our line is:

y = x + c

Now we want our line to pass through (2, 3), replacing these values we will get:

3 = 2 + c

3 - 2 = c

1 = c

The linear equation is:

y = x +1

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The difference between the exact and ordinary interest on the loan is $18.19. The Option B.

Exact Interest:

= Principal x (1 + r)^n - Principal where n = 240 / 30 = 8 and r = 0.07 / 12 = 0.00583.

Plugging the values:

= $30,000 x (1 + 0.00583)^8 - $30,000

= $31,418.19 - $30,000

= $1,418.19

Ordinary Interest:

= Principal x Rate x Time where time = 240 / 360 = 2/3 years

Plugging the values:

= $30,000 x 0.07 x 2/3

= $1,400

The difference between Exact and Ordinary Interest:

= Exact Interest - Ordinary Interest

= $1,418.19 - $1,400

= $18.19

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Answer:

x = 39

y = -6

Step-by-step explanation:

We are already given one of our answers which is y = -6.

Seeing our second equation, we must substitute our y-value into our second equation to find the value of x.

x= -8(-6) - 9

x = 48 - 9

x= 39

Thus, we know that the value of x is 39.

The distance between the given points is equals to 7.21 units ( approximately).

Coordinates of the two points are.

( x₁ , y₁ ) = ( -3, 1 )

( x₂ , y₂ ) = ( 3, 5 )

The distance formula to find the distance between the points (-3,1) and (3,5) is equal to ,

Distance 'd' =  √( y₂ - y₁ )² + ( x₂ - x₁ )²

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

And d is the distance between them.

Substitute the coordinates of the given points, we have,

⇒ Distance 'd'= √((3 - (-3))²+ (5 - 1)²)

⇒ Distance 'd'= √((6)²+ (4)²)

⇒ Distance 'd'= √(36 + 16)

⇒ Distance 'd'= √(52)

⇒ Distance 'd'= 2√13

⇒ Distance 'd'=  7.21 units.

Therefore, the distance between the points (-3,1) and (3,5) is  approximately equals to 7.21 units.

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It G my teacher gave me the same question on a test ( please give me brainleist so i can rank )

Answer:

Plot the points on the graphing calculator, and then generate an exponential regression model. That model is

r(x) = 223.06(1.09^x)

The correct answer is F.

Answer: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

      We will use the formula, or rise over run, to solve for the slope.

Formula:

      [tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Coordinate points we will use:

      (-8, 0) and (0, -4)

Substitute values and evaluate:

      [tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

      [tex]\displaystyle \frac{-4-0}{0--8}=\frac{-4}{8} =-\frac{1}{2}[/tex]

Answer:  -1/2

Step-by-step explanation:

You can count the slope from the graph   m=rise/run

if you started on point (-8, 0) and counted to (0,-4)

went down 4  = -4

you went right 8 = 8

m = [tex]\frac{-4}{8}[/tex]  = [tex]-\frac{1}{2}[/tex]

The total cost of the fruits she bought​ is 3p + 5n + 4

Given that

We have

9 pears = 3 * 3 pears

So, we have

9 pears = 3 * p

9 pears = 3p

Also, we have

n + 2 apple = 2 * (n + 2)

n + 2 apple = 2n + 4

We simply add the total of each together

So, we have

Total = 3p + 2n + 4 + 1.50 * 2n

Total = 3p + 2n + 4 + 3n

Evaluate

Total = 3p + 5n + 4

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Answer:

To calculate the number of smaller boxes that would fill up the bigger box entirely, we need to divide the volume of the bigger box by the volume of the smaller box.

The volume of the bigger box is:

Volume = length x width x height

Volume = 50 cm x 30 cm x 20 cm

Volume = 30,000 cm³

The volume of the smaller box is:

Volume = length x width x height

Volume = 10 cm x 3 cm x 4 cm

Volume = 120 cm³

Now we can divide the volume of the bigger box by the volume of the smaller box to get the number of smaller boxes that would fill up the bigger box:

Number of smaller boxes = Volume of bigger box / Volume of smaller box

Number of smaller boxes = 30,000 cm³ / 120 cm³

Number of smaller boxes = 250

Therefore, we would need 250 smaller boxes to fill up the bigger box entirely.

The system of equations that represents the number of cups of coffee and hot chocolate sold is x + y = 170. But [tex]1.25x + 0.75y =[/tex] Total revenue.

Let x be the number of cups of coffee sold

Let y be the number of cups of hot chocolate sold.

From the problem, we know that:

The total number of cups sold is 170, so, equation for number of cups of chocolate and coffee sold will be:

x + y = 170.

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