The sum of 6 consecutive integers is 519.

Answer:

a) distance from plane to swimmer = 2127.66 m

b)  distance from swimmer to point D = 1928.31 m

Step-by-step explanation:

Given the question,

height at which the plane is = 900m

angle of depression = 25°

If we closely observe, the whole scene is making an right angle triangle

So, we can use trigonometry identities

cos (90-25) = 900 / AB

0.423 = 900 /AB

AB = 2127.66 m

sin(90-25) = AD /2127.66

AD =  sin(90-25) x 2127.66

AD = 1928.31m

top problems:

1-) x²-2x-8

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2-) 4s²-4s+1

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3-) 6x²-3-7x

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4-) 4u²+8u

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5-) t²-15

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6-) 3x²-x-4

bottom problems:

1-) [tex]\frac{1}{4},-1[/tex]

y=x²+[tex]\frac{3x}{4}-\frac{1}{4}[/tex]

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2-)[tex]\sqrt{2},\frac{1}{3}[/tex]

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3-) 0, √5

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4-) 1,1

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5-)[tex]-\frac{1}{4}, \frac{1}{4}[/tex]

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6-) 4,1

Step-by-step explanation:

1) x²- 2x - 8

= x² - 4x + 2x - 8

= ( x - 4 )(x-2)

2) 4s² - 4s +1

= (2s)² - 2*2*s + 1²

= ( 2s + 1)²

In similar way you can factor out the other expressions .

Answer:

96°

Step-by-step explanation:

so we are given two angles, we can use the two angles that were given to find the angles inside the triangle (2 of them)

then once we find those two angles in the triangle, we can use those to find the third angle

then we can figure out what x is

so both a straight line and a triangle are 180°

angle 1: 180°-134° = 46°

angle 2: 180°- 130° = 50°

now we add the two angles together: 46° + 50° = 96°

one triangle = 180°

180° - 96° = 84° = angle 3

now we can find x by subtracting 84° from 180°

180°-84° = 96°

Answer:

x = 96 degrees

Step-by-step explanation:

As you know the sum of a set of exterior angles is 360 degrees

so

x + 130 + 134 = 360

x + 264 = 360

x = 360 - 264

x = 96

Answer:

Step-by-step explanation:

(3(-2)*3(5)*-2)^2

(-6*15*-2)^2

180^2

32,400

Answer:

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Step-by-step explanation:

Given:

Expression, [tex](3x^3y^{-2})^2[/tex]

To find the value of expression at x=-3 and y=5

Put the values into expression

[tex]\Rightarrow (3(-2)^3(5)^{-2})^2[/tex]

[tex]\Rightarrow (3\cdot -8\cdot \dfrac{1}{25})^2[/tex]      [tex]\because x^{-m}=\dfrac{1}{x^m}[/tex]

[tex]\Rightarrow (-\dfrac{24}{25})^2[/tex]

[tex]\Rightarrow \dfrac{576}{625}[/tex]

Hence, The value of expression would be [tex]\Rightarrow \dfrac{576}{625}[/tex]

After 8 years, the city's population will be 538,156 people.

To calculate the population after 8 years, we can use the formula for compound interest:

\[A = P(1 + r)^n\]

Where:

A = Future population

P = Initial population (380,000)

r = Annual growth rate (6.25% or 0.0625 as a decimal)

n = Number of years (8)

Plugging in these values:

\[A = 380,000(1 + 0.0625)^8\]

\[A ≈ 538,156\]

So, the population of the city after 8 years will be approximately 538,156 people.

To calculate the population after 8 years, we used the formula for compound interest, as population growth can be thought of as compounding annually.

The initial population of 380,000 is multiplied by the growth factor, which is calculated by adding 1 to the annual growth rate expressed as a decimal (0.0625).

This factor is then raised to the power of the number of years (8).

The result is approximately 538,156, rounded to the nearest whole number. This means that with an annual growth rate of 6.25%, the city's population will increase to around 538,156 people after 8 years.

for such more questions on interest

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The population in 8 years will be 663,994 people.

To find the population of a city after 8 years given a 6.25% annual growth rate, we use the formula for exponential growth:

Population = P(1 + r)^t

where:

Given:

Substitute the values into the formula:

Population = 380,000 * (1 + 0.0625)⁸

Calculate:

Rounding to the nearest whole number, the population after 8 years will be 663,994 people.

Answer:

A = 18

Step-by-step explanation:

The formula for the area of a triangle is  

A = ½bh

b = x₂ - x₁ = 2 - (-2) = 2 + 2 = 4

h = y₂ - y₁ = 5 - (-4) = 5 + 4 = 9

A = ½ × 4 × 9 = 18

The area of the triangle is 18.

Answer:

a) UXW = 78        b) UWY = 48         c)  WZX = 48          d) XYZ = 42

Step-by-step explanation:

There are many ways you can do this, but I'll just describe one for each.

a) Angle YWV is vertical to XWZ, so they are congruent. Angle XWZ is an alternate interior angle with angle UXW, so UXW = 78.

b) All the angles that revolve around point W must add up to 360. We already know 4 angles due to vertical angles, so 78 + 78 + 54 + 54 = 264.

360 - 264 = 96.   There are two angles left, and since they are vertical they must be congruent. 96/2 = 48, so angle UWY is 48 degrees.

c) We already know that the angle vertical to UWY is 48, so WZX is also 48 degrees because they are alternate interior angles.

d) Angle UWY is 48 degrees and angle WUY is 90 degrees because of the perpendicular line. Now we can find XYZ, the remaining angle.

90 + 48 = 138.           180 - 138 = 42.          So XYZ = 42 degrees.

I hope this helped. I'm open to any questions you may have. :)

Answer:

a) UXW = 78 degrees

b) UWY = 48 degrees

c) WZX = 48 degrees

d) XYZ = 42 degrees

Step-by-step explanation:

Apply rules and theorems:

Angles in a triangle add up to 180 degrees.

Angles on a straight line add up to 180 degrees.

Right angles are 90 degrees.

Vertically opposite angles are equal.

With these we can solve for the angles.

Answer:

Step-by-step explanation:

We have:

h = 40 ft

2r = 20 ft → r = 10 ft

Substitute to the formula of a Surface Area of a cylinder:

[tex]SA=2\pi r^2+2\pi rh[/tex]

[tex]SA=2\pi(10^2)+2\pi(10)(40)=2\pi(100)+2\pi(400)\\\\=200\pi+800\pi=1,000\pi\ ft^3\\\\\pi\approx3.14\to SA\approx1,000(3.14)=3,140\ ft^3[/tex]

Answer:

X=3

Y=9

Step-by-step explanation:

X is equal to the 3 and multipy 3 by its self to get Y=9

Recall that the sum of all interior angles in a triangle is 180°, and that a flat-line is always 180°.

Check the picture below.

Answer:

p=1.

Step-by-step explanation:

All you do is add 6 to both sides to get rid of the 6 on the p side and add 6 to the other side and the value of -5+6 is 1.

p=1.

Answer:

P=1

Step-by-step explanation:

You add 6 on both sides then subract by -5

and it will give you 1

Answer:

Step-by-step explanation:

Yes, a rhombus

The student draws a shape (trapezoid, kite, chevron, non-rectangular or non-rhombi parallelogram, or other quadrilateral that fits the criteria) and can clearly explain why it is not a square (because it does not have four right angles and four congruent sides), a rhombus (because it does not have four congruent sides)

I hope that help u(:

Answer:

96¢

Step-by-step explanation:

We need to find out how much they charge per ounce so

0.72 divided by 6 = 0.12

so it's 12¢ They charge 12¢ an ounce

0.12 x 8 = 96

96¢ for 8 ounces

Hope this helps! Please mark as brainliest! Thanks!

I think it would be B.30 here's why i think it would be 30 because it wants to know what the median. and i know that 49 and 27 is not it (i think) and 34 is not it so my answer is 30 PLEASE CORRECT ME IF I AM WRONG.

Answer: 30 acres

Step-by-step explanation: I got a 100% on my quiz!

Answer:

Step-by-step explanation:

The best way to do a question like this is to see what the answer is and then see if you can get it. The graph is labeled to show what the integer values for each integer point on the graph is.

I don't know what else to add, so if you have any additional problems, please list them under this question. I will see your comment.

A sample calculation would be

y = - abs(-x)

Let x = - 2

y = - abs(-2)

The absolute command changes - 2 to + 2

y = - abs(2)

y = - 2 because of the minus sign in front of  the absolute value command.

So the point is (-2,-2)

Answer:

The answer to the question is unit.

Step-by-step explanation:

A fixed amount used as a standard of measurement is called a Unit.

Standard units are the units we usually use to measure the weight, length or capacity of objects. The metric system is the main system of measurement units used in science.

Answer:

unit

Step-by-step explanation:

USA Testprep

it's the second one because the first has 2 over x which can't be a polynomial because it can't have a variable on the bottom same thing with the last one and the 3rd one it have a x in the square root sign

Answer:

B

Step-by-step explanation:

Answer:

Choice C.

Step-by-step explanation:

Kermit likes :

15 tea bags

every 2 liters

Peggy:

90 tea bags

12 liters

You would simplify it by dividing 90 by 15, equaling 6. And 12 divided by 2, also equaling 6. Which would mean they are equal and Peggy's tea is exactly like Kermit's favorite iced tea.

Answer:  The correct choice is

Choice (C)  It is just right.

Step-by-step explanation:  Given that Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water and Peggy made a 12 liter batch of iced tea with 90 tea bags.

We are to select the correct choice that describes the thinking of Kermit about Peggy's Iced tea.

The ratio of quantity of water and number of tea bags in Kermit's favorite iced tea is given by

[tex]R_k=2:15.[/tex]

And the ratio quantity of water and number of tea bags in Peggy's iced tea is given by

[tex]R_p=12:90=\dfrac{12}{90}=\dfrac{2}{15}=2:15.[/tex]

Since the ratio of water and number of tea bags in Peggy's iced tea is same as that in Kermit's favorite iced tea, so

Kermit will think that Peggy's iced tea is just right.

Choice (C) is CORRECT.

Answer:

[tex]\large\boxed{3\dfrac{18}{19}}[/tex]

Step-by-step explanation:

[tex]\text{First step:}\\\text{Convert the mixed number to the improper fractions:}\\\\7\dfrac{1}{2}=\dfrac{(7)(2)+1}{2}=\dfrac{15}{2}\\\\1\dfrac{9}{10}=\dfrac{(1)(10)+9}{10}=\dfrac{19}{10}\\\\7\dfrac{1}{2}:1\dfrac{9}{10}=\dfrac{15}{2}:\dfrac{19}{10}\\\\\text{Dividing by a fraction is the same as multiplying by the inverse of a fraction}\\\\=\dfrac{15}{2}\cdot\dfrac{10}{19}=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot\dfrac{10\!\!\!\!\diagup^5}{19}=\dfrac{15}{1}\cdot\dfrac{5}{19}=\dfrac{75}{19}=3\dfrac{18}{19}[/tex]

First, convert the mixed fractions into improper fractions. Then, turn the division problem into a multiplication problem by utilizing the concept of reciprocal. This gives us 75/19, or about 3.95 in decimal.

We first need to convert the mixed fractions into improper fractions. To do this, we multiply the whole number by the denominator of the fractional part and then add the numerator, placing this sum over the original denominator. This makes 7 1/2 into 15/2 and 1 9/10 into 19/10. The division problem 7 1/2 divided by 1 9/10 simplifies to 15/2 divided by 19/10.

Next, we remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, we change our division problem into a multiplication problem, transforming 15/2 divided by 19/10 into 15/2 * 10/19.

After multiplying these fractions, we get 150/38, which simplifies to 75/19, which is approximately 3.95 when converted to decimal.

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Divide 30 minutes by 5 miles to see how many minutes it takes to run run mile.

Multiply the time to run 1 mile by 7 miles.

30 min / 5 miles = 6 minutes per mile.

6 minutes per mile x 7 miles = 42 total minutes.

The diameter of a circle (or in this case a bicycle wheel) is how long it is from one side of the circle striaght across to the other side.  The radius is half the diameter.  So if the diameter is 34, then the radius would be 17.

17 inches

Diameter = 2 * radius

So you can rewrite that as

Radius = diameter / 2

34/2=17

Answer:

3x

Step-by-step explanation:

If you have 2x, that would mean there is 1x and 1x. T

he question asks what 2x+2x+1x is, and since all three have the same variable you can just add the coefficient.

The coefficients are 1, 1, and 1 since they are in front of the variable.

The variable is x.

Therefore, since 1+1+1=3, your answer is 3x.

The mathematical expression for "the product of z, x, and y" can be represented as [tex]\( z \times x \times y \)[/tex].

The mathematical expression for "the product of z, x, and y" can be represented as [tex]\( z \times x \times y \)[/tex]. In this expression, the symbol [tex]\( \times \)[/tex] denotes multiplication, and the three variables [tex]\( z \), \( x \), and \( y \)[/tex] are multiplied together to obtain their product.

This expression succinctly captures the idea of multiplying these three variables. In mathematical terms, a product refers to the result of multiplying two or more numbers or variables.

Therefore, [tex]\( z \times x \times y \)[/tex] represents the outcome of multiplying the values represented by the variables [tex]\( z \), \( x \), and \( y \)[/tex].

This expression provides a clear and concise way to articulate the mathematical concept of the product of three variables.

The product of ( z ), ( x ), and ( y ) is: ( zxy ).

To translate the phrase "the product of ( z ), ( x ), and ( y )" into a mathematical expression, follow these steps:

1. Identify the Variables:

  The variables involved in the expression are ( z ), ( x ), and ( y ).

2. Understand the Operation:

  The term "product" indicates multiplication.

3. Write the Expression:

  To express the product of ( z ), ( x ), and ( y ) mathematically, you simply multiply these variables together.

1. Start with the First Two Variables:

  Multiply ( z ) and ( x ) together.

[tex]\[ z \times x \][/tex]

2.Include the Third Variable:

  Now, multiply the result from the first step by ( y ).

[tex]\[ (z \times x) \times y \][/tex]

3. Simplify the Expression:

  In multiplication, the order in which you multiply numbers does not matter due to the commutative property of multiplication. Therefore, we can drop the parentheses.

[tex]\[ z \times x \times y \][/tex]

The mathematical expression for "the product of ( z ), ( x ), and ( y )" is:

[tex]\[z \cdot x \cdot y\][/tex]

or simply:

[tex]\[zxy\][/tex]

This is the complete mathematical translation of the given phrase.

Answer:

Step-by-step explanation:

All sides of the figure are triangles. Therefore, the last net represents this figure.

Answer:

It is the Last Net!

Step-by-step explanation:

I learned this in Class and on the lessons. Thankyou have a great day!

Problem 1:

Simplify 5+12+to 17.

4÷17

4 divided by  17 is 0.235294.

Problem 2.

Simplify 3+6+ to 9.

9 + 17 = 26.

Problem 3.

Change 3 + 4 to 7.

7+5÷6

Simplify 5 divided by 6 to 0.833333.

7 + 0.833333.

You simplify that to get 7.833333.

Have an amazing day and thanks for using Brainly.

Answer:

4.29

Step-by-step explanation:

Answer:

Step-by-step explanation:

We want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74

The answer is a 74 degree angle. This is a simple one to remember.

Answer: [tex]25\pi\ ft^2[/tex] (First option)

Step-by-step explanation:

The formula for calculate the area of a circle is the one shown below:

[tex]A=r^2\pi[/tex]

Where r is the radius of the circle.

XY is the diameter. Then the radius is:

[tex]r=\frac{10ft}{2}\\r=5ft[/tex]

Substitute values into the formula shown above. Therefore, the area of the circle is:

[tex]A=(5ft)^2\pi \\A=25\pi\ ft^2[/tex]

Answer:

The correct answer is first option 25pi ft2

Step-by-step explanation:

Formula

Area of circle = πr²

r - Radius of circle

To find the area of given circle

Here XY = 10 ft

XY is the diameter of given circle

Radius r = Diameter/2 = 10/2 = 5 ft

Area = πr² = π5² = π x 5 x 5 = 25π ft²

Therefore area of given circle is 25π ft²

The correct answer is first option.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ You cannot form more than one triangle with the sides, because any way you put it, it will always be the same.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

No

Step-by-step explanation:

No

SSS is a way of proving that two triangles are congruent. It also means that the shape and size of the triangle is fixed. There is only 1 way to draw it.

There is 1 other congruency that gives only 1 shape and size. It is SAS.  

You have to reason out ASA. The way it is written (with the side between 2 angles, there is only 1 way possible to draw a triangle with shape and size consistent.  The side must be between the 2 angles..

Answer: [tex]2\sqrt{42}cm[/tex] ≈12.96 cm

Step-by-step explanation:

To solve this exercise you must apply the Pythagorean Theorem, which is the shown below:

[tex]a^2=b^2+c^2[/tex]

Where a is the hypotenuse and b and c are the other legs.

You know that the triangle has a leg of 11 cm and the hypotenuse is 17 cm. Therefore, you can substitute values and solve for the other leg.

Then you obtain:

[tex](17cm)^2=b^2+(11cm)^2\\b=\sqrt{(17cm)^2-(11cm)^2}\\b=2\sqrt{42}cm[/tex]

b≈12.96 cm