From her eye, which stands 1.75 meters above the ground, Myesha measures the angle of elevation to the top of a prominent skyscraper to be 19^{\circ}
∘
. If she is standing at a horizontal distance of 337 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary

Answer:

The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70

The equation of a line in slope-intercept form is y = mx + b

where;

m is the slope

b is the y-intercept

Given the coordinate points (14, -1) and (2, 1)

Slope = 1-(-1)/2-14

Slope = 2/-12

Slope = -1/6

Determine the y-intercept

1 = -1/6(2) + b

1 = -1/3 + b

b = 1 + 1/3

b = 4/3

The given equation of the line is y = -1/6x + 4/3

For the y-intercept

y = -1/6(0) + 4/3

y = 4/3

Hence the y-intercept is (0, 4/3)

For the x-intercept

0 = -1/6(x) + 4/3

1/6x = 4/3

24x = 3

x = 1/8

Hence the x-intercept is (1/8, 0)

If the y-coordinate of point C is 13, hence;

y = -1/6x + 4/3

13 = -1/6x + 4/3

-1/6x = 13 - 4/3

-1/6x = 35/3

-1/2 x = 35

x = -70

The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer:

C. Binary Data

Step-by-step explanation:

The Volume of this blockish prism is 262 and one- half  bases cubed.  

  To find the volume of a blockish prism, we multiply its length,  range, and height. In this case, we've a length of 6 and one- fourth  bases, a  range of 14  bases, and a height of 3  bases.  

To multiply these  figures, we need to convert the length to a mixed bit. 6 and one- fourth can be written as6.25. So, the volume of this blockish prism is    ft x 14 ft x 3 ft = 262.5 ft ³    

We round it to one decimal point since it's a decimal number. This means that if we were to fill this blockish prism with a substance, it could hold up to262.5 boxy  bases of that substance.

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Answer:

375 units²

Step-by-step explanation:

A = bh/2

A = (75)(10)/2

A = 750/2

A = 375

A. The maximum value represent the following: B. the point where the most profit is made.

B. The x-intercepts represent the following: B. the price per pen where no profit is made.

C. An approximate average rate of change of the graph from x=3 to x = 6 is -60.

D. The domain of this graph given the situation is 0 ≤ x ≤ 6 because there is no profit beyond those points.

The maximum value of a function is a point on the graph where the function reaches its highest point. By critically observing the graph, we can logically deduce that the maximum value is (3, 120) and it represents the point where the most profit is made by this company.

Part B.

The x-intercepts are (0, 0) and (6, 0) and it represents the price per pen where the company earns no profit.

Part C.

Next, we would determine the average rate of change of the function g(t) over the interval [3, 6] by using this formula:

Average rate of change = [f(b) - f(a)]/(b - a)

a = 3; f(a) = 120

b = 6; f(b) = 0

By substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (0 - 120)/(6 - 3)

Average rate of change = -120/3

Average rate of change = -60

Therefore, the average rate of change from x = 3 to x = 6 represent a loss of $60 per unit sale.

Part D.

In conclusion, the constraints of the domain is 0 ≤ x ≤ 6 or [0, 6] because there is no profit that can be earned by this company beyond those points.

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Answer:

18.75

Step-by-step explanation:

Answer:

75/4 decimal form 18.75 mixed number form    18 3/4

Step-by-step explanation:

Brainliest

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Best deal for the round pizza is,

''Two 12-inch diameter round pizzas for $17.50.''

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Pizza Shack offers the following pizza deals.

• A 16-inch diameter round pizza for $16

• Two 12-inch diameter round pizzas for $17.50

• A 15-inch square pizza for $17

Now, For first deal;

• A 16-inch diameter round pizza for $16

Hence, The cost of 1 inch diameter round pizza = $16/16

                                                                         = $1

For second deal;

• Two 12-inch diameter round pizzas for $17.50

Hence, Cost of 1 round pizza for 1 inch diameter = $17.50 / 2×12

                                                                          = $0.73

For third deal;

• A 15-inch square pizza for $17

Hence, The cost of 1 inch diameter round pizza = $17/15

                                                                         = $1.13

Thus, The best deal is,

Two 12-inch diameter round pizzas for $17.50

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The tangent point of the line, given the center of the circle can be found to be  ( 5.39, -10.07).

We have the equation of the tangent line as 4x + 5y = -29 and the center of the circle as (-2, 4).

Equation of the line containing the radius as:

y - 4 = (5/4)(x - (-2))

y - 4 = (5/4)(x + 2)

Solving the system of equations:

y = (-4/5)x - 29/5

y - 4 = (5/4)(x + 2)

Eliminate y by substituting the first equation into the second:

(-4/5)x - 29/5 - 4 = (5/4)(x + 2)

Now, solve for x:

(-4/5)x - 29/5 - 20/5 = (5/4)x + 10/4

(-4/5)x - (5/4)x = 10/4 + 49/5

(-16/20)x - (25/20)x = 25/4 + 196/20

(-41/20)x = 221/20

x = 221/41

Now, find the y-coordinate by plugging the value of x into one of the equations. Let's use the first equation:

y = (-4/5)(221/41) - 29/5

y = (-884/205) - 1181/205

y = -2065/205

The tangent point is (221/41, -2,065/205) or ( 5.39, -10.07).

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.

From the diagram, it is shown that CA is congruent to RM.

From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

This shows that the first option is correct.

From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.

Thus the second option in not correct.

From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.

Thus the third option is not correct.

From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.

Thus the fourth option is not correct.

From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.

Thus, the fifth option is not correct.

Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm

The additional information could be used to prove ABC≅MQR using SAS will be m∠R = 60° and AB≅MQ. Option D is correct.

Triangles that are equivalent in terms of size and form are known as congruent triangles.

The conditions for ABC≅MQR are;

m∠R = 60°

AB≅MQ

Using the new data, it is possible to demonstrate that m∠R = 60° and AB is equal to the MQ will result in ABC≅MQR using SAS.

Hence option D is correct.

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The freighter is approximately 164.33 miles from the city.

We can use the Law of Cosines to solve this problem. Let's label the distances as follows:

d: distance between the city and the freighter

x: distance between the city and the island

y: distance between the island and the freighter

First, we need to find x using the given coordinates:

N23°38'W is equivalent to S23°38'E, so we have:

cos(23°38') = x/48

x = 48cos(23°38') ≈ 42.67 miles

Next, we can use the coordinates of the freighter to find y:

N11°26'E is equivalent to E11°26'N, and N12°16'W is equivalent to S12°16'E. This means that the angle between the island and the freighter is:

23°38' + 11°26' + 12°16' = 47°20'

cos(47°20') = y/d

We can rearrange this equation to solve for y:

y = dcos(47°20')

Now we can use the Law of Cosines to solve for d:

d² = x² + y² - 2xy cos(90° - 47°20')

d² = 42.67² + (d cos(47°20'))² - 2(42.67)(d cos(47°20')) sin(47°20')

d² = 1822.44 + d² cos²(47°20') - 2(42.67)(d cos(47°20')) sin(47°20')

d² - d² cos²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² (1 - cos²(47°20')) = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² sin²(47°20') = 1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')

d² = (1822.44 - 2(42.67)(d cos(47°20')) sin(47°20')) / sin²(47°20')

d ≈ 164.33 miles

Therefore, the freighter is approximately 164.33 miles from the city.

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Answer:

Each student ran 1056 feet.

Step-by-step explanation:

A mile has 5280 feet in it so just divide that by 5 and you have your answer.

Make a bar that is supposed to represent 5280 feet or a mile and cut it up into five pieces.  

Sorry if this doesn't make sense, best way I could explain it

Answer:

1056

Step-by-step explanation:

First, lets convert 1 mile to feet

1 mile = 5280 feet

Five students ran an equal distance in the 5280 feet relay race. How many feet did each student run?

Now, we can divide 5280 by 5, we will get 1056.

Equation: 5280 ÷ 5 = 1056

Each student ran 1056 feet.

Each bar would be 1056.

Hope this helps :)

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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504 bandages if it is each bandage is 3 cents.

Given,

Mr. Kermshner has 168 bandages march through June.

To find the how much is it if each bandage is 3 cents ?

Now, According to the question,

Based on the given conditions,

Formulate:

Total bandage is 168

and, each bandage is 3 cents

= 168 x 3

= 504

Alternative form = 5.04 x 10^2

Hence, 504 bandages if it is each bandage is 3 cents.

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Answer:

16, 16(sqrt3)

Step-by-step explanation:

30-60-90 triangles follow a rule where the hypotenuse is 2 times the shortest leg, and the longer leg is sqrt3 times the shorter leg.

So, the sides are x, 2x, and (sqrt3)x.

If 2x = 32, then x = 16.

Therefore the two legs are 16 and 16(sqrt3)

you can search up 30-60-90 triangle for more information

Answer:

D

Step-by-step explanation:

hope this helps :3

Answer:

hundreds

Step-by-step explanation:

Remember the place values:

thousands 8

hundreds 2

tens 1

ones 6

.

tenths 4

The 2 is in the hundreds place.

4 sheets of paper cost's $14 how much will with be for 11 1/2 sheets of paper?

we have that

Applying proportion

14/4=x/11 1/2

Convert 11 1/2 to an improper fraction

11 1/2=23/2

substitute

14/4=x/(23/2)

x=(23/2)*(14/4)

x=$40.25

therefore

teh answer is $40.25

Answer:

Monday: 4 hours = $36

Tuesday: 6 hours = $54

Wednesday: 5 hours = $45

His earnings are proportional because, for each hour, Richard earns $9. Using the formula y = kx, k (the constant) is always the same:

Hope this helps!

The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

13.63 miles per hour

Step-by-step explanation:

100 yards / 15 sec  converted to miles per hour

100 yards x 60 sec   x   60 min   x   1 mile        =  13.63 miles/hr

   15 sec        1 min          1 hr           1760 yards

the mistake on Mrs Dukes is the conversion from miles to yards.

1 mile = 1760 yards NOT 5280 yards

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

see below

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Answer:

Info down in Explaination

Step-by-step explanation:

To graph this equation, start at the origin (0,0) since there is not y-intercept.

Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.

Because the rise (up and down, numerator) is 1, we know that we will go up one unit.

The run (side to side, denominator) is 4, so we will go to the right 4 units.

This makes the first point (4, 1).

Continue doing this until you get an idea of the line and connect the points to get the graph

Answer:

113 each day

Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry

Answer:

f(x)=24578-1345x

$19198

Step-by-step explanation:

Let's suppose "x" years pass.

\(f(x)=24578-1345x\)

When x=4,

\(f(4)=24578-1345*4\\=24578-5380\\=19198\)

The equation is y = $24,578 - $1,345x and value of car after 4 years is

$19,198.

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables.

Given cost of car = $24,578

amount decrease every year = $1,345

let amount after x years be y

where x = time and y = amount

equation is

y = $24,578 - $1,345x

amount after 4 years,

put x = 4

y = $24,578 - $1,345x

y = $24,578 - $1,345(4)

y = $24,578 - $5,380

y = $19,198

Hence equation for amount is y = $24,578 - $1,345x and amount after 4 years is  $19,198.

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Answer:

x = 42.9

Step-by-step explanation:

We can let 34 represent the reference angle.  Using this angle, we see that the side measuring 24 units is the opposite side and the side measuring x is the hypotenuse.

Thus, we can use the sine trig function which is

\(sin(angle)=\frac{opposite}{hypotenuse}\)

We plug in what we have into the equation above and solve for x:

\(sin(34)=\frac{24}{x}\\ x*sin(34)=24\\x=\frac{24}{sin(34)}\\ x=42.9189996\\x=42.9\)