From the observation deck of a skyscraper, Brandon measures a 45
angle of depression to a ship in the harbor below. If the observation deck is 1140 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

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

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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Answer:

forebrain

Step-by-step explanation:

Answer:

Cerebrum???

Step-by-step explanation:

HOPE THIS HELPEDDD:)))

Answer:

Step-by-step explanation:

System of equations:

The system of linear equations has one solution if the lines intersect, no solution if the lines are parallel, infinitely many solutions if lines are same

Let's put the lines into slope-intercept form to compare

Line1

Line 2

As we see lines have different slopes so they are different and they intersect once

This system has one solution

Answer:

C. The lines will intersect once, because this system has one solution

Step-by-step explanation:

Answer:

D all of the above is the answer

Answer:

D) All of the above

Runoff can end up in ponds, streams, and rivers.

Step-by-step explanation:

Hope it helps! =D

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

The remainder from the given division is 0.

Given that, 24 divided by 4 is 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

4|24|6

  24

______

    0

So, the remainder is 0.

Therefore, the remainder from the given division is 0.

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Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

\(Area = 123.55 m^2\)

Step-by-step explanation:

Given

\(Area = 1330ft^2\)

Required

Convert to \(m^2\)

To convert from square feet to square meter, we simply divide by 3.281^2

So, we have:

\(Area = \frac{1330}{3.281^2}m^2\)

\(Area = \frac{1330}{10.765}m^2\)

\(Area = 123.55 m^2\)

x-y=30

Step-by-step explanation:

-10(x-y)=20

x-y = 30

Answer:

im pretty sure 9 is 100.9(growing) or 0.95 (pop shrinking) and 13 is 0.8566

Step-by-step explanation:

9514 1404 393

Answer:

  y = 3x

Step-by-step explanation:

A proportional relation has the equation ...

  y = kx

To write the desired equation, you need to know the value of k. That can be found from the given information:

  for x = 2, y = 6

  6 = k·2

  3 = k . . . . divide by 2

Now, we know the equation can be written ...

  y = 3x

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:

What kind of graph?

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

1) Determine the radius of the base

\(V=\frac{1}{3} \pi r^2h\) where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

\(3.6=\frac{1}{3} \pi r^2(4.2)\)

Isolate r; divide both sides by 4.2

\(\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2\)

Multiply both sides by 3

\(\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2\)

Divide both sides by π

\(\frac{18}{7\pi }=r^2\)

Take the square root of both sides

\(\sqrt{\frac{18}{7\pi }} =r\)

2) Determine the diameter

Now that we have the radius, to find the diameter, multiply r by 2:

\(d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8\)

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

Answer:

1.8 in

Step-by-step explanation:

we know the equation for the volume of a cone is pi*r^2 h/3=3.6

pi r^2 *4.2=10.8

solve for r

r is about 0.9 so diameter is 1.8 in

Answer:

37.9 units (nearest tenth)

Step-by-step explanation:

As ABCD is a rectangle, AD = BC and AB = DC.

Find the length of AD and AB using the distance formula.

\(\boxed{\begin{minipage}{7.5 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}}\)

From inspection of the given diagram:

Therefore:

\(\begin{aligned}AD & =\sqrt{(x_D-x_A)^2+(y_D-y_A)^2}\\& =\sqrt{(-7-(-5))^2+(-3-(-9))^2}\\& =\sqrt{(-2)^2+(6)^2}\\& =\sqrt{4+36}\\& =\sqrt{40}\end{aligned}\)

\(\begin{aligned}AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(7-(-5))^2+(-5-(-9))^2}\\& =\sqrt{(12)^2+(4)^2}\\& =\sqrt{144+16}\\& =\sqrt{160}\end{aligned}\)

\(\begin{aligned}\textsf{Perimeter of a rectangle} & = \sf 2(length + width)\\& = 2(AB+AD)\\& = 2(\sqrt{160}+\sqrt{40})\\& = 2(18.97366596...)\\& = 37.94733192...\\& = 37.9\: \sf units\:(nearest\:tenth)\end{aligned}\)

Therefore, the perimeter of the rectangle ABCD is 37.9 units (nearest tenth).

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Answer:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

Check:

If

d

=

3

c

=

0.6

(

3

)

+

1.2

=

3

If

d

=

6

c

=

0.6

(

6

)

+

1.2

=

4.8

Step-by-step explanation:

Answer: 8 ft.

Step-by-step explanation:

13 - 5 = 8.

Answer:

less than 5 hmm lets see could it be 4

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

Answer:

Bottom left

Step-by-step explanation:

Those I-ready diagnostics suck don't they?

Step-by-step explanation:

The formula to find the interior angle of a polygon is 180(n - 2) over n.

So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.

Now we use algebric method to solve for n.

180n − 360 = 120n

60n = 360

n = 6

Answer:

Area = 45m^2

Step-by-step explanation:

A = 1/2bh

A = 1/2(9)(10)

A = 1/2(90)

A = 90/2

A = 45

Answer:

Area = 45m^2 is the answer

The angle which is coterminal with -60 between 0 and 360 is; 300°.

Since, it follows that the representation of the angle -60 corresponds to 60° span in the clockwise direction.

Therefore, by going the conventional anticlockwise direction, the angle which is coterminal with -60 is; 300°.

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The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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The circumference of a circle is calculated using the formula:

\(\sf\:C = 2 \pi r \\\)

where C represents the circumference and r represents the radius of the circle.

Given that the radius of the circle is one meter (r = 1), we can substitute this value into the formula to find the circumference:

\(\sf\:C = 2 \pi (1) \\\)

\(\sf\:C = 2 \pi \\\)

Therefore, the circumference of a circle with a radius of one meter is \(\sf\:2 \pi \\\) meters.

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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Answer:

X=7

Step-by-step explanation:

To solve this equation, we need to use the logarithmic properties. First, we can use the property loga(bx) = x loga(b) to rewrite the equation:

log3(5) + log3(x) = log3(35)

This can be rewritten as:

log3(5x) = log3(35)

Using the property loga(b) = c, we can re-write the equation as:

x = 35/5

Now, we can calculate the value of 35/5:

35/5 = 7

Therefore, the solution to the equation is x = 7.