ABCD is a kite with AB = BC and AD = DC = AC, the size of

The distance from point A to point B is 1496 ft.

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Given that, a boat is at point A which at 724 ft distance from a lighthouse making an angle of elevation to the lighthouse’s beacon-light of 16°, when moved to some distance B making an angle of elevation to the lighthouse’s beacon-light of 5°, we need to find the distance from point A to point B.

Refer to the figure attached,

The whole scene is creating two right triangles, rt Δ CDA and rt Δ CDB

Using the trigonometric functions, in rt Δ CDA,

We have,

tan 16° = CD/DA

CD = tan 16° × 724

CD = 207.6

Therefore, the height of the lighthouse is 207.6 ft

Now,

tan 5° = CD/DB

DB = CD / tan 5°

DB = 2373

The distance between A and B = DB-DA = 2373 - 724 = 1496

Hence, the distance from point A to point B is 1496 ft.

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The coordinates of Casper which lies exactly in the middle of Denton and Beacon are (-4, -1).

Coordinates are defined as the set of points in a coordinate plane or space, which describes the position of that point in that plane or space.

In a coordinate plane, the midpoint of two points (x₁, y₁) and (x₂, y₂) is the point (x, y) such that their measures are,

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

First, we can write the given measures.

Coordinates of Albion = (5, 5)

Coordinates of Denton = (-7, -3)

Given that, Beacon is lying exactly in the middle of Albion and Denton.

Let the coordinates of Beacon be (x, y).

Using the formula above,

x coordinate of Beacon = (5 + -7) / 2 = -1

y coordinate of Beacon = (5 + -3) / 2 = 1

Coordinates of Beacon are thus (-1, 1).

Casper is lying exactly in the middle of Denton(-7, -3) and Beacon (-1, 1).

Let (x' , y') be the coordinates of Casper.

Using the same formula,

x' = (-7 + -1) / 2 = -4

y' = (-3 + 1) / 2 = -1

Hence the coordinates of Casper are (-4, -1).

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Answer:

-4

Step-by-step explanation:

Answer:

f(0) = 4

Step-by-step explanation:

[tex]f(x) = {2x}^{2} + 4[/tex]

- When x = 0, then f(x) = f(0)

[tex]f(0) = 2(0) {}^{2} + 4 \\ f(0) = 4[/tex]

1) The probability of picking more than 1 apple is 0.8. 2) the expected number of apples you can pick each year is 2.65. 3) the expected number of apples you can pick each year is 2.65.

To find the probability of picking more than 1 apple, we need to find the sum of the probabilities of picking 2, 3, and 4 apples. Using the table, we have P(N>1) = P(2) + P(3) + P(4) = 0.15 + 0.35 + 0.3 = 0.8. So, the probability of picking more than 1 apple is 0.8. The expected number of apples you can pick each year can be calculated using the formula: E(N) = ∑N * P(N), where the sum is taken over all possible values of N. Using the table, we have E(N) = (1 * 0.1) + (2 * 0.15) + (3 * 0.35) + (4 * 0.3) = 0.1 + 0.3 + 1.05 + 1.2 = 2.65. So, the expected number of apples you can pick each year is 2.65. To find the probability of picking 3 apples, given that your father picked more than 1 apple, we need to use the conditional probability formula. We have P(3|N>1) = P(3 and N>1) / P(N>1) = P(3) / P(N>1) = 0.35 / 0.8 = 0.4375. So, the probability of your father picking 3 apples, given that he picked more than 1 apple, is 0.4375

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Complete Question

Imagine you have an apple tree, and you pick apples from it each fall. Empirically, the number of apples (N) that you can harvest and the corresponding probability (P) can be summarized in the following table,  the table =  N - O, 1, 2, 3, 4 And P = 0.1, 0.15, 0.35, 0.3, 0.1

1) What is the probability that you can pick more than 1 apple? 2) What is the expected number of apples you can pick each year? 3) Your father told you that he picked more than 1 apple this year. What is the probability that he picked 3 apples, given that information?

We know that the store sells nuts for $2 per pound and chocolate for $0.95 per pound. We also know that x represents the total pounds of nuts, and 32 represents the total pounds of chocolate.

In order to write an equation that represents a mixture that costs $1.48 per pound, we first need to find an expression to represent the total pounds in this situation, which would be (x + 32).

Now that we have this, let's just combine everything we know into one equation:

2x + 0.95(32) = 1.48(x + 32)

Therefore, the correct answer choice is option B.

Answer:

Shrub $7

Rose Bush $8

Step-by-step explanation:

First, write them as equations

10r + 4s = $108

5r + s = $47

Next, multiply

10r + 2s = $94

10r + 4s = $108

Then, Subtract

2s = $14

After, Divide

s = $7

Then, plug in and solve

5s + $7 = $47

$40/5s = 8$

$8 = r

$7 = s

Answer: The bushes cost $8 and the shrubs cost 7$

Step-by-step explanation:

For this question you must use system of equations, trial and error will take a very long time.

So yeah, here is how you solve it-

First set up equations (b represents the amount of bushes and s represents the amount of shrubs):

5b + 1s = 47

10b+4s=108

Next you can either solve via elimination or the substitution method. I will show elimination here. Elimination works by slightly modifying one of the equations so that it cancels when it is added to the other equation:

(I modified the first equation)

-4(5b+1s = 47) = -20b-4s=-188

(Then add)

     -20b-4s=-188

  +    10b+4s=108

This equals: -10b=-80

Next you just solve for b:

b=-80/-10

b=8

To then find s, plug b into one of the original equations and solve for s:

(I plugged it into the first equation)

5(8)+1s=47

40+s=47

s=7

So the bushes cost $8 and the shrubs cost 7$

Hope this helps :)

Answer:

Step-by-step explanation:

The probability of exactly 5 patients having kidney-related problems is approximately 0.253 or 25.3%.

The probability of a given number of patients having kidney-related problems can be found using the binomial distribution. The binomial distribution models the number of successful outcomes in a fixed number of independent trials, where each trial has the same probability of success.

In this case, each hospital admission is a trial, and the probability of success (having a kidney-related problem) is 0.3 (30%). The number of trials is 10, and we want to find the probability of exactly 5 patients having kidney-related problems.

We can use the formula for the probability mass function of the binomial distribution to find this:

[tex]P(X = k) = (n choose k) * p^k * (1-p)^(n-k)[/tex]

where:

n = 10 (number of trials)

k = 5 (number of successful outcomes)

p = 0.3 (probability of success)

Using the formula, we have:

[tex]P(X = 5) = (10 choose 5) * 0.3^5 * (1-0.3)^(10-5)= 252 * 0.3^5 * 0.7^5[/tex]

= approximately 0.253

So, the probability of exactly 5 patients having kidney-related problems is approximately 0.253 or 25.3%.

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Thirty percent of hospital admissions for diabetic patents are related to problems with the kidneys. in a sample of 10 diabetic hospital admissions, what is the probability that exactly five patients will have kidney related problems?

Answer:

D because all sides are equal

1. The value of line EF is 14.3

2. not enough info to get angle ECB

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.

EF is congruent to AB

GB is congruent to EH

Therefore AG will be congruent FH

therefore FH = 12

tan 40 = 12/EF

EF = 12/tan40

EF = 12/0.839

EF = 14.3

There is not enough info to get angle ECB

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Answer:

you cannot cancel (5-5) because it is multiplied to 5 and 4 if the question was 5+(5-5)=4+(5-5) you can cancel 5-5

The reason that we can't cancel out the (5 - 5) is because it is attached to different numbers and as such they must be multiplied first with distributive property.

According to the distributive property of algebra, multiplying the sum of two or more addends by a number will give us the same result as when each addend is multiplied individually by the number and the products are added together.

This also applies to addition as well.

We are given;

5(5 - 5) = 4(5 - 5)

Now, according to the distributive property, we will have to first multiply out the bracket to get a solution. Thus, we can't cancel out the (5 - 5) because it is attached to different numbers and as such they must be multiplied first with distributive property in mind.

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The thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

An inappropriate fraction is created by adding the numerator to a mixed fraction after multiplying the denominator of the proper fraction by the whole number it is related to.

How change a fraction into a mixed fraction?

By denominator, divide the numerator.

Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.

Given that the thickness of the plate is 1 7/8 in.

Convert the mixed fraction into improper fraction:

1 7/8 = 15/8

The machine shaves of 7/32 in, thus after one pass we have:

15/8 - 7/32

Take the LCM:

60/32 - 7/32 = 53/32

Covert the fraction into mixed fraction:

53/32 = 1 21/ 32 in

After three passes through the machine the thickness of the plate is:

15/8 - 3(7/32)

60/32 - 21/32 = 39/32

Covert into mixed fraction:

39/32 = 1 7/32 in

Hence, the thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.

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The correct question is:

On solving the provided question, we cans ay that  in this triangle by Pythagorean theorem [tex]A^2 = B^2 + C^2[/tex] => AC = [tex]\sqrt{115}[/tex]

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here, in this triangle by Pythagorean theorem

[tex]A^2 = B^2 + C^2[/tex]

AC = [tex]\sqrt{14^2 - 9^2}[/tex]

AC  = [tex]\sqrt{196 - 81}[/tex]

AC = [tex]\sqrt{115}[/tex]

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Answer:

Since each ticket cost $6.25, then to find the total they spent on tickets you will multiply 6.25 by itself 4 times:

6.25 * 4 = 25

They spent $25 on movie tickets.

You can subtract that from the $37 to find the total they spent on the snacks:

37 - 25 = 12

Th spent $12 in total on movie snacks. Now to find how much they cost each, yo will divide that total by the 4 friends:

12/4 = 3

The movie snacks cost $3 each.

Step-by-step explanation:

Hope it helps! =D

Answer:

4 and -2

Step-by-step explanation:

4 + -2 = 2

4 x -2 = -8

Answer:

The price of the desk in the furniture store is $202.8

Gloria walked  500500 Miles from nearest bus stop to home.

How to convert yards into miles ?

To convert a yard measurement to a mile measurement, divide the length by the conversion ratio.

Since one mile is equal to 1,760 yards, you can use this simple formula to convert:

miles = yards ÷ 1,760

The length in miles is equal to the yards divided by 1,760.

Given:

Gloria traveled : 888 miles

1 Mile = 1760 yards

880880880 yards = 500500 Miles

So she walked  500500 Miles from nearest bus stop to home.

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Answer:

Step-by-step explanation:

Let's call the length of the winning jump "w".

Sarah's best jump is 12% more than her first jump, which was 4.25m. So her best jump was 4.25m * 1.12 = 4.77m.

However, her best jump is 15% lower than the winning jump, so we can set up an equation to solve for w:

4.77m * 1.15 = w

Solving for w:

w = 4.77m * 1.15 = 5.51m

So the winning jump was 5.51m.

Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ

The collection of 4 in, 5 in, and 10in of three side lengths will not form a triangle.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, A triangle has a property that the sum of any two sides is always greater than the third side and the difference between any two sides is smaller than the third side.

From the given options if we observe the third option,

4 + 5 should be greater than 10 but it is not therefore, It is the correct option.

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If a plumber cut a pipe into 5 equal pieces and had 27 cm of the pipe left. the length of the first pipe originally is 702 cm.

Let's call the original length of the first pipe "L"

Let the length of each of the 5 equal pieces "x".

set up the equation:

5x + 27 = L

Each piece of the second pipe is "x" cm long. The second pipe is 15 m long, which is equivalent to 1500 cm. The plumber cut 11 pieces of the same length as each of the 5 equal pieces from the first pipe, so the total length of the 11 pieces is:

11x

The plumber had 15 cm of the second pipe left over after cutting 11 pieces, so we can set up another equation:

1500 - 11x = 15

Solving for "x" in the second equation:

11x = 1485

x = 135

So each piece of the second pipe is 135 cm long.

To find the original length of the first pipe, we can substitute x = 135 into the first equation and solve for L:

5x + 27 = L

5(135) + 27 = L

L = 702

Therefore, the original length of the first pipe was 702 cm.

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The two numbers, then, are 86 and 61.The two numbers can be found by using basic algebra.

The two numbers can be found by using basic algebra. To solve for the two numbers, we can set up two equations, one for the sum and one for the difference. For the sum, we can set up the equation: x + y = 147. For the difference, we can set up the equation: x - y = 25. We can then solve for x by adding y to both sides of the equation for the difference, so x = 25 + y. We can then substitute this value for x in the equation for the sum, so 25 + y + y = 147, or 2y = 122, and y = 61. We can then substitute this value for y in the equation for x, so x = 25 + 61, or x = 86. The two numbers, then, are 86 and 61.

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If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent by the ASA congruence condition. Hence, option a. is the right answer.

According to the definition, we know that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent by the ASA congruence condition.

Let us consider two triangles △ABC and △QRP as shown below -

So, in △ABC and △QRP, we have,

∠B=∠R

∠C=∠P

BC=RP

∴ By ASA congruence test for triangles, we get △ABC ≅ △QRP

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The complete question is -

If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent by _____ congruence condition.

a. ASA

b. AAA

c. SAS

d. RHS

Answer:

13 months

Step-by-step explanation:

(b)

let C(x) = 431.5 and solve for x , that is

29x + 54.5 = 431.5 ( subtract 54.5 from both sides )

29x = 377 ( divide both sides by 29 )

x = 13

that is cable service for 13 months

Probability of each of the following is,

(a) 0.24, (b) 0.20 and (c) 0.56

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

(a) From the table,

Probability that exactly 1 of the trucks are not working at any point in time  = P(x = 1) = 0.24.

(b) Probability that fewer than 1 of the trucks are not working at any point in time is the probability that no trucks are working at any point of time.

P(x < 1) = P(x = 0) = 0.20

(c) Probability that more than 1 of the trucks are not working at any point in time is the combined probability that 2, 3 and 4 trucks are working.

P(x > 1) = P(x = 2) + P(x = 3) + P(x = 4)

           = 0.17 + 0.06 + 0.33

           = 0.56

Hence each of the values of the probability is found.

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Answer:

О m³   (cubic meters)

Step-by-step explanation:

The volume formula is length * width * height

Example:

volume = 3m * 5m * 4m

volume = 60m³

The solution is, О m³   (cubic meters), is the correct label to show volume.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

to find the correct label to show volume.

now, we know that,

The volume formula is length * width * height

as we know that,

the standard unit for length is meter (m).

now, we have,

length has unit m

width (= length) has unit m

and, height (=length)  has unit m

so, we get,

Volume = length * width * height

             = m * m* m  (as unit)

             = m³

Example:

volume = 3m * 5m * 4m

volume = 60m³

Hence, The solution is, О m³   (cubic meters), is the correct label to show volume.

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Bill should use the "Print It"company.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

To determine which company Bill should use, you need to calculate the total cost of each option and compare them.

For "Print It," the total cost would be :

= 30 x $21.50

Apply the multiplication operation, and we get

= $645.00

For "Top Print," the total cost would be :

= $70.00 + (30 x $18.00)

= $690.00

Since the cost of "Print It" is lower than "Top Print," Bill should use "Print It" as it would be a more cost-effective option for him.

Thus, he should use the "Print It"company.

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The length of x is given as follows:

x = 3.6.

Similar polygons share these two features listed as follows:

In the context of this problem, the proportional relationship for the side lengths of the polygons is given as follows:

x/3 = 2.4/2 = 4.8/4 = 6/5.

The relationship can be simplified as follows:

x/3 = 1.2.

Applying cross multiplication, the value of x is obtained as follows:

x = 3 x 1.2

x = 3.6.

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Answer:

Step-by-step explanation:

.....-_-.....-__-....-___-_--____--_--_____--_--______________--_________________-u streched ma face dude.

The probability of the intersection of two events occurring can never be more than the probability of the union of two events occurring.

False.

It should be stated that the likelihood of the intersection of two events occurring is always less than the likelihood of the events occurring together.

It is always less likely than or equal to the likelihood of either event occurring alone for an intersection of two events, which is the chance that both occurrences take place.

In other words, the probability of the intersection and the probability of the union are subsets of one another.

The chance of the intersection of two events occurring can never be greater than the likelihood of the union of two events occurring, hence that is the right statement.

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