The ages of three siblings are all consecutive integers. The sum of their ages is 39. How old is the youngest sibling?

could anyone explain this in a 2 part answer​

Answer:

221.0 m

Step-by-step explanation:

First, find x using trigonometric ratio formula:

Reference angle = angle of depression = angle of elevation = 64°

Opposite side length = 142 m

Adjacent side length = x

Thus:

tan(64) = 142/x

x*tan(64) = 142

x = 142/tan(64)

x = 69.3 (nearest tenth)

Next, find distance from top of the hill to the buoy using Pythagorean Theorem.

Let the distance be y.

We would have:

y² = 142² + (69.3 + 100)²

y² = 20,164 + 28,662.49

y² = 48,826.49

y = √48,826.49

y = 221.0 m (nearest tenth)

Answer:

75 inches

Step-by-step explanation:

Let x = the short side

Let y = the long side

x + y = 300

y = 3x

Plug 3x for y into the first equation:

x + 3x = 300

4x = 300  Divide both sides by 4

x = 75

Answer:

x(y/2 + z)

Step-by-step explanation:

There are two triangles here.

The small triangle which is bound by dotted lines has base = y and height = x

The height of the larger triangle is 2x and its base is y + z

Area of larger triangle = 1/2 ·  2x · (y + z)
= x(y + z) = xy + xz

Area of smaller triangle = 1/2 · x · y = xy/2

Shaded region area = Area of larger triangle - area of smaller triangle

= xy + xz - xy/2

= xy/2 + xz

= x(y/2 + z)

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

200+15x

Step-by-step explanation:

he will need to save at least 200+15x

y= amount to purchase the computer

x=hours worked for $15 per hour

$200 -money already saved

y ≤ 200+15x

Answer:

Jamie would pay an extra $332.80

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

3x - 5 = 2x + 6

Move the x to one side of the equation by subtracting 2x from both sides

x - 5 = 6

Add 5 to both sides

x = 11

Plug in to check the answer

3(11) - 5 = 2(11) + 6

33 - 5 = 22 + 6

28 = 28

Therefore, x = 11

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

= \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

On substituting the values, we get

= \(\sqrt{(-4-2)^2+(2-(-3))^2}\)

= \(\sqrt{(-4-2)^2+(2+3)^2}\)

= \(\sqrt{(6)^2+(5)^2}\)

= \(\sqrt{36+25}\)

= \(\sqrt{61}\)

= \(7.8 \ units\)

Answer:

(17.736 ; 21.139)

Step-by-step explanation:

Given the data:

22 14 25 15 19 15 17 21 15 16 23 16 29 21 22 21

Confidence interval ; (C. I) :

Mean ± Zcritical * σ/sqrt(n)

The mean value for the data:

Mean = Σx / n

n = 16

Σx = 311

Mean = 311 / 16 = 19.4375

Zcritical at 90% = 1.645

σ = sqrt[Σ(x - mean)² / n]

Using calculator :

σ = 4.138

19.4375 ± 1.645 * 4.138/sqrt(16)

19.4375 ± 1.645 * 4.138/4

19.4376 ± 1.7017525

Lower bound = 19.4376 - 1.7017525 = 17.736

Upper bound = 19.4376 + 1.7017525 = 21.139

To purchase the Apple iPad Pro, based on an equation, Sandra contributed $257 while her parents contributed $643.

An equation is a mathematical statement that states that two or more mathematical expressions are equal or equivalent.

Mathematical expressions are depicted as equations using variables, constants, numbers, and values and the equation symbol (=).

The total cost of the Apple iPad Pro = $900

The contribution of Sandra's parents per $2 = $5

The contribution of Sandra = $2

Let x = the variable contributed by each party

2x + 5x = 900

7x = 900

x = 128.57

Sandra's contribution = $257 (2 x 128.57)

Parents contribution = $643 (5 x 128.57)

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The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

Step-by-step explanation:

The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...

  1/9 = portland cement

  3/9 = 1/3 = sand

  5/9 = crushed stone

Since the total is 765 ft^3, the ingredients required are ...

  (1/9)(765 ft^3) = 85 ft^3 portland cement

  (1/3)(765 ft^3) = 255 f^3 sand

  (5/9)(765 ft^3) = 425 ft^3 crushed stone

Can you please provide the question that goes with the answers? There can be no answer if there isn't a question

Answer:

y=a\((x-h)^{2}\)+h

Step-by-step explanation:

equation for vertex form of a parabola is,

y=a\((x-h)^{2}\)+h

Answer:

y=a+h

Step-by-step explanation:

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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Answer:

Additive inverse of -11/5 => + 11/5

hope that helps uh..☺

Answer:

If " a " represent any rational number then " a + ( - a ) = 0" or " ( - a ) + a = 0 ". Thus " a " and " - a " are additive inverse of each other. Hence " 11 / 5 " is the additive inverse of " - 11 / 5 " .

Step-by-step explanation:

The relation that is defined by a set of ordered pairs that is a function is: A. {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)}.

A function can be described as a type of relation whereby every x-value has an exact y-value it corresponds to.

In a relation that is defined by a set of ordered pairs, if every x-value has only one y-value it corresponds to, then the relation represents a function.

In the relation, {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)}, no x-value has two different y-values, therefore the relation is defined by a set of ordered pairs that is a function.

{(–2, 6), (3, –6), (–4, 5), (6, –6), (6, –7)} is not a function because x-value 6 has two different y-values, -6 and -7.

{(2, 6), (3, 6), (4, 5), (6, 6), (6, 7)} is also not a function because x-value 6 has two y-values 6 and 7.

The relation {(6, 2), (6, 3), (5, 4), (6, 6), (7, 6)} has an x-value 6, that corresponds to more than one y-value, therefore, it is not a function.

In conclusion, the relation that is defined by a set of ordered pairs that is a function is: A. {(2, 6), (3, 6), (4, 5), (6, 6), (7, 6)}.

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Linear equations are two-variable equations that graph as a straight line.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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what you mean but heres the points on the map u were talking about

Answer: The slope m = 3/5

Step-by-step explanation:

The slope can be found by using the formula: m = y2 - y1 / x2-x1

Where m is the slope and (x1, y1) and (x2, y2) are the two points on the line.

x1 = 2  , y1 = 1

x2 = -3 , y2 = -2

Substituting the values from the points in the problem gives :

m = -2-1 / -3-2

m = 3/5

Hence, the slope that passes through (2, 1) and (-3, -2) is 3/5.

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Answer:

4/10

Step-by-step explanation:

add the miles up so you can find it out

Answer:

x=8

Step-by-step explanation:

A midsegment divides the shape into two equal parts, so BE = CE.

\(\frac{2}{13}\)

Probability is finding the chance that some specific outcome will occur. In this case, we are looking for the probability of one of two outcomes.

Equally Likely Outcomes

When drawing a card from a well-shuffled deck, all outcomes (cards) are equally likely to be drawn. Each card was a 1/52 probability of occurring.

Probability of Two Outcomes

In a deck of cards, there are 4 cards of each number. This means that the probability of drawing a 2 is 4/52, the same for a queen.

So, to find the probability of one of the two desired outcomes is equal to adding the probabilities together.

This fraction can then be simplified further:

Answer:

$0.99 per pound of rock

Step-by-step explanation:

We take

$9,900 / 5 = $1980 per ton of rock

1 ton = 2000 pound

What is the price per pound?

We take

1980 / 2000 = $0.99 per pound of rock

So, the price per pound of rock is $0.99

Check the picture below.