A boat is travelling from point c toward point d which is on the shoreline the shoreline is represented by the line through point a and point b

Answer:

-70

Step-by-step explanation:

just use a calculator my g

Answer-70

Step-by-step explanation:

-100 plus 50 = -50 then you add -20 making it -70

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

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On solving the given inequality [z - 1/5 > 1/4] we get the solution inequality as z > 0.45. Graph representing the solution of the inequality is plotted and attached at end.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. There are two types of inequalities namely strict and slack inequalities.

Given is the following inequality -

z - 1/5 > 1/4

The given inequality is -

z - 1/5 > 1/4

Add [1/5] on both sides -

z - 1/5 + 1/5 > 1/4 + 1/5

z > (5 + 4)/20

z > 9/20

z > 0.45

The graph representing the solution of the inequality is plotted.

Therefore, on solving the given inequality → [z - 1/5 > 1/4] we get the solution inequality as z > 0.45. Graph representing the solution of the inequality is plotted and attached at end.

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Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  \(1\frac{47}{60}\)

→ Substitute values into formula

135 ×  \(1\frac{47}{60}\)  = 240.75

Answer:

The first question's answer is c 1.0, 2.0, 3.0

Step-by-step explanation:

Answer:

1. A) 4.0; 4.5; 5.0

2. A) Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.

3. C) Extracurricular activities show that a student is an active well-rounded individual.

4. D) All of the above

5. A) Associte's degree

6) D) A Doctoral degree

I hope this helps you

Answer:

We can begin by simplifying each equation:

A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n

B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n

C. 4=52-8n can be rewritten as 8n = 48 or 6 = n

D. 4n = 48 can be simplified to n = 12

Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.

So, the correct answers are A, B, and C.

Answer:

Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.

If the exposed surfaces of the monument are to be covered with one-inch square tiles, A total number of   51,336 will be needed.

Therefore option H is correct.

We find the total surface area of the rectangular prism:

Length = 16 ft

Width = 4 ft

Height = 8 ft

2lw + 2lh + 2wh

= 2(16x4) + 2(16x8) + 2(4x8)

= 320 + 256 + 64

= 640 sq ft

we also find the Surface area of the square pyramid:

surface area =  1/2Pl

where P= perimeter

l =  slant height.  

Base length = 4 ft

Height = 8 ft

We find the slant height

l² = (4/2)² + 8²

l² = 4 + 64

l = √68 = 2√17 ft

surface area of each face is

surface area = 1/2* (16)* (2√17)

surface area = 64√17 sq ft.

We have 4 faces

surface area = 4* (64√17) = 256√17 sq ft

Therefore, the total surface area of the monument:

640 + 256√17 =  1055 sq ft

The surface area with one-inch square tiles will be covered by :

1055 x 144 = 151,920 tiles.

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(1, -4)

You could just count the units

The estimate that most likely comes from a small sample at a 95% confidence level is 48% (plusminus21%).When taking a random sample of data from a population, there is always some degree of sampling error.

Confidence intervals are used to quantify the range of values within which the actual population parameter is expected to lie with a certain degree of confidence. These intervals have a margin of error that represents the degree of uncertainty about the population parameter's true value. The width of a confidence interval is determined by the sample size and the level of confidence required. The level of confidence expresses the likelihood of the population parameter's true value being within the interval.

A smaller sample size leads to a wider margin of error, which means that the confidence interval will be wider and less precise. A larger sample size, on the other hand, results in a narrower confidence interval and a more accurate estimate. For a small sample size, the confidence interval for the percentage of the population with a certain characteristic is larger. A larger interval implies a greater degree of uncertainty in the estimate.48% (plusminus21%) is the estimate that is most likely to have come from a small sample. Because the margin of error is large, it implies that the sample size was tiny.

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The ratio if the dimensions are expressed in inches instead of feet is 1/16.

Ratio is defined as the relationship between two quantities. It can be expressed as a to b, a : b, or a / b.

Meanwhile, proportion is defined as the equality between two ratios.

a / b = c / d

If the ratio of the numerical value of the perimeter to the numerical value of the area, expressed in feet, is 3/4, then converting each component to inches will give its ratio, expressed in inches.

perimeter / area

= 3 feet / 4 feet²

= 3 feet(12 inches / 1 foot) / 4 feet²(12 inches / 1 foot)(12 inches / 1 foot)

= 36 inches / 576 inches²

Simplifying the ratio by dividing both by 36.

36 / 576 = 1 / 16

Hence, the ratio will become 1/16.

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Answer:

x = 0.58 or x = -8.58 to 2 d.p.

Step-by-step explanation:

Question:

Just to write the question in a better format :

\(2x^{2} +16x-10 = 0\)

Solve for x.

Answer:

First we Simplify this by dividing everything by 2:  

\(2x^{2} +16x-10 = 0\) ÷ 2 :

\(x^{2} +8x-5 = 0\)

Now we use the quadratic formula :

\(x = \frac{-b+/-\sqrt{b^{2} -4ac} }{2a}\)  (side note: +/- is meant to be ±)

Now we substitute a with 1, b with +8 and c with -5:

\(x = \frac{-8+/-\sqrt{8^{2} -4(1)(-5)} }{2(1)}\)  \(x = \frac{-8+/-\sqrt{64+20} }{2}\) \(x = \frac{-8+/-\sqrt{84} }{2}\)  

The surd \(\sqrt{84}\) = 2\(\sqrt{21}\) So :

x = -8± 2√21 /2

x = -4 ±√21

This is our answer . Remember it is two answers in 1.

x = -4 +√21 and x = -4 -√21

x = 0.58257569495  or x = -8.58257569496

x = 0.58 or x = -8.58 to 2 d.p.

Hope this helped and brainliest please

The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter

Area = Length × Width

20 = (w - 19) × w

To solve this equation, we can expand it:

20 = \(w^2\) - 19w

Rearranging the equation to bring everything to one side:

\(w^2\) - 19w - 20 = 0

Now, we can factor the quadratic equation:

(w - 20)(w + 1) = 0

Setting each factor equal to zero and solving for "w":

w - 20 = 0 --> w = 20

w + 1 = 0 --> w = -1

Since a negative width doesn't make sense in this context, we discard w = -1.

Therefore, the width of the rectangle is 20 centimeters (w = 20).

To find the length, we substitute this value back into the expression for length:

Length = w - 19

Length = 20 - 19

Length = 1 centimeter

So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.

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Given the number:

Irrational numbers cannot be expressed as the ratio of two integers.

ANSWER

Irrational.

The answer is:

5/4

Work/explanation:

Let's work out the slope of the line.

The equation is in y = mx + b form where m = slope; b = y intercept.

Similarly, in y=5/4x - 7/4, the slope is 5/4.

Answer:

The measure of m∠KNY is;

(D) 105°

Step-by-step explanation:

From the diagram, we have;

The given angle at the circumference = The The angle the arcs makes at the center of the circle

From circle, theorem, angle subtended at the center = Twice the angle subtended at the circumference

Therefore;

Angle ∠D and angle ∠Y = 90°/2 = 45°

Angle ∠O and angle ∠K = 60°/2 = 30°

From angle summation theorem, we have;

m∠KNY + ∠K + ∠Y = 180° (The sum of the interion angles in ΔYNK

∴ m∠KNY = 180° - (∠K + ∠Y)

Plugging in the known values of ∠K and ∠Y gives;

m∠KNY = 180° - (30° + 45°) = 105°

m∠KNY = 105°.

Answer:

16

Step-by-step explanation:

option c 16 is the answer

The solution is, the correct option is, A.) tan 37 = x/12.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

now, from the given figure we get,

tan 37 = x/12

Hence, The solution is, the correct option is, A.) tan 37 = x/12.

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Answer:

Option (C)

Step-by-step explanation:

From the picture attached,

Two lines are the parallel lines and one line is intersecting these lines at two distinct points.

m∠3 = ∠6 [Alternate interior angles]

Since, angles 2 and 7 are the vertically opposite angles,

m∠2 = m∠7 [Alternate exterior angles]

Therefore, angles ∠2 and ∠7 are the pair of alternate exterior angles.

Option (C) is the answer.

Answer:

r = 14 cm

Step-by-step explanation:

Circumference = 2πr = 88

=> r = 88 / 2 x 22/7

=> r = 88 x 7 / 44

=> r = 2 x 7

=> r = 14 cm

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

124°

Step-by-step explanation:

this

will surely

help

Answer:

angle C is 126°

Step-by-step explanation:

angle C + 56° = 180° (linear pair)

angle C = 180°- 56°

angle C = 124°

As per the mentioned details, the gross mass of the container is 65 grams.

The gross mass of the container is defined as the total mass of the package. It includes the mass of constituents and the mass of containing body. So, here the sum of mentioned masses will be the gross mass of the container.

Gross mass of the container = 60 + 5

Performing addition on Right Hand Side of the equation to find the gross mass of the container

Gross mass of the container = 65 grams

Thus, the gross mass of the container is 65 grams.

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It is important to remember the definitions of binomial, continuous, discrete, interval, nominal, ordinal, and ratio variables because these are different types of data which need different methods of analysis.

Nominal variables are variables used for identification or categorization. Nominal data cannot be ranked, ordered, or compared. The gender, ethnicity, religion, and hair color of an individual are all examples of nominal variables.

Ordinal variables are variables that can be ranked or ordered, but the difference between each point on the scale is not constant. For example, we could use an ordinal variable to describe the class ranks of students: 1st, 2nd, 3rd, and so on. While there is a clear order to the data, the difference between each rank is not necessarily the same.

Interval variables have equal distances between each value, and they also have a true zero point. For example, a temperature measurement is an interval variable because the difference between 20 degrees Celsius and 30 degrees Celsius is the same as the difference between 30 degrees Celsius and 40 degrees Celsius.

Ratio variables have equal intervals between each value and have a true zero point. For example, weight is a ratio variable because a weight of zero means that there is no weight.

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Answer:

12:11=913

Step-by-step explanation:

The confidence interval is  (a) [0.440, 0.600].

To find the confidence interval for the probability of flipping a head with this coin, we can use the normal approximation to the binomial distribution. The formula for calculating the confidence interval is:

p ± z * \(\sqrt{p(1-p)/n}\)

Where:

p is the observed proportion of heads (52/100 = 0.52 in this case),

z is the z-score corresponding to the desired confidence level (89% confidence corresponds to a z-score of approximately 1.645),

sqrt is the square root function,

and n is the number of trials (100 flips in this case).

Let's calculate the confidence interval using this formula:

p ± z *\(\sqrt{p(1-p)/n}\)

0.52 ± 1.645 *\(\sqrt{0.52(1-0.52)/100}\)

0.52 ± 1.645 * \(\sqrt{0.2496/100}\)

0.52 ± 1.645 * 0.04996

0.52 ± 0.08207

The confidence interval is [0.43793, 0.60207].

Comparing this result with the given options, we can see that none of the options exactly matches the calculated interval. However, the closest option is (a) [0.440, 0.600].

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Answer

Statements B, C and E are correct.

Statements A and D are not correct.

Explanation

To pick the correct statements, we will have to examine each of the statements given to pick the correct ones.

The Cost of peanuts is presented on the y-axis while the weight of the corresponding peanuts is on the x-axis.

First, we have to calculate the slope of the graph given to establish the cost of 1 pound of peanuts.

For this graph, it passes through (0, 0) and (7, 17.5)

Hence, we have established that the cost of 1 pound of peanuts is $2.5

So, taking the options one at a time

A.) 2.5 pounds of peanuts costs $1

We have already established that 1 pound of peanuts costs $2.5

1 pound = $2.5

2.5 pounds = 2.5 × $2.5 = $6.25

Hence, this statement isn't correct.

B.) 1 pound of peanuts costs $2.50

This is correct because we already established this from calculating the slope of the graph.

C.) 5 pounds of peanuts costs $12.50

1 pound = $2.5

5 pounds = 5 × $2.5 = $12.50

Hence, this statement is correct.

D.) 9 pounds of peanuts costs $19.50

1 pound = $2.5

9 pounds = 9 × $2.5 = $22.50

Hence, this statement isn't correct.

E.) The point (4, 10) is on the graph of the proportional relationship.

The point (4, 10) means 4 pounds of peanuts costs $10.

1 pound = $2.5

4 pounds = 4 × $2.5 = $10

Hence, this statement too is true.

Hope this Helps!!!

Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

<95141404393>

9514 1404 393

Answer:

  7.  obtuse

  8.  right

  9.  acute

Step-by-step explanation:

You can look at the difference ...

  a^2 + b^2 -c^2

where c is the longest side. You can classify the triangle based on the result:

  > 0 -- acute

  = 0 -- right

  < 0 -- obtuse

__

7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95  ⇒  obtuse

8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0  ⇒  right

9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5  ⇒  acute

_____

There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.

Answer:

x= 12

Step-by-step explanation:

Hope u understood it

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