A boat is heading towards a lighthouse, whose beacon-light is 117 feet above the
water. The boat's crew measures the angle of elevation to the beacon, 3°. What is the
ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to
the nearest hundredth of a foot if necessary.

Answer:

A or the total number of spikes Bella has

Answer: The number of Beetiebots to decorate

Step-by-step explanation:

Law of cosine is applicable to all the triangles. The value of the angle by which the boat turns is 39.195°.

Law of cosine helps us to find the third side of the triangle when 2 sides and an angle are known. It is formulated as,

[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]

a, b, c is the sides of the triangle and,

[tex]\gamma[/tex] = angle opposite c

A.)

Given to us

A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping.

When it stopped, the boat was 18 miles from its starting point.

According to the given statements, sides and angles can be written,

a = 25 miles

b = 28 miles

c = 18 miles

[tex]\theta = x^o[/tex]

Substitute the values,

[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]

[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]

Hence, the value of the angle by which the boat turns is 39.195°.

B.)

Given to us

Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock.

The angle between 25 miles and 28 miles is x degrees.

According to the given statements, sides and angles can be written,

a = 25 miles

b = 28 miles

c = 18 miles

[tex]\theta = x^o[/tex]

Substitute the values,

[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]

[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]

Hence, the value of the angle by which the boat turns is 39.195°.

Learn more about the Law of cosine:

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Answer:

Its 39 degrees on Edge

Step-by-step explanation:

Your welcome

Answer:

The answer is E

Step-by-step explanation:

hope it helps

Answer:

Option E

(-1, 0, 1, 2, 3, 4, 5, 6)

Step-by-step explanation:

So,

n is less than (-2) but greater than or equal to 6

Now, the possible value of n

-1, 0, 1, 2, 3, 4, 5, 6

Thus, (-1, 0, 1, 2, 3, 4, 5, 6) are the possible values of n

-TheUnknownScientist 72

Answer:

1005

Step-by-step explanation:

If you just kept subtracting from 2580 then the next and then the next number you would get 1005

Answer:

34.69 feet

Step-by-step explanation:

First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.

Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.

Answer:

The answer is 216 i did the math the other person is correct please give them brainliest <3

Step-by-step explanation:

24,501.42 cubic meters

Step-by-step explanation:

The equation for volume of a cylinder is:

A=πr²h

A= area

r= radius

h=height

let's plug in the numbers

A=π×17²×27

(the radius is half of the diameter; 34÷2=17)

Let's use 3.14 as pi

A=3.14×289×27

A= 24501.02 cubic meters

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]2x^4(2x^2 + 3x + 4)[/tex] is  [tex]4x^6 + 6x^5 + 8x^4[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given expression is simplified as:

[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]

Thus,

The product of  [tex]2x^4(2x^2 + 3x + 4)[/tex] is  [tex]4x^6 + 6x^5 + 8x^4[/tex]

Learn more about product of polynomials here:

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Answer:

4x^6 + 6x^4 + 8x^4

Step-by-step explanation:

its the only option with a 6 in the 2nd term.

Given Function is

[tex] \: [/tex]

[tex] \: \: [/tex]

Now , Put The Value Of x = - 2

[tex] \: \: [/tex]

[tex] \frak{f(x) = {x}^{2} - 3x }[/tex]

[tex] \: \: [/tex]

[tex] \frak{f( \red{ - 2}) = { (\red{ - 2})^{2}} - 3 ( \red{- 2})}[/tex]

[tex] \: \: [/tex]

[tex] \frak{f{ (\red{ - 2})} = \red{ - 4} + 6}[/tex]

[tex] \: \: [/tex]

[tex] \boxed{\frak { \large \: f( \red{ - 2}) = \red 2}}[/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

[tex] \: \: [/tex]

Hope Helps! :)

Given the data from the question, the value of the function f(–2) is obtained as 10

Substituting the the value of x into the expression, we have

f(x) = x² – 3x

f(–2) = (–2)² – 3(–2)

f(–2) = 4 + 6

f(–2) = 10

From the calculation made above, we can conclude that the value of f(–2) is 10

Learn more about function:

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Answer:

  17

Step-by-step explanation:

For the second term in the sequence, use n=2. The formula tells you ...

  [tex]b(2)=b(2-1)+1\\\\b(2)=b(1)+1\\\\b(2)=16+1\\\\\boxed{b(2)=17}[/tex]

The second term of the sequence is 17.

_____

Additional comment

The recursive relation is telling you that each term of the sequence is 1 more than the term before, and the first term is 16. This means the first several terms of the sequence are ...

  16, 17, 18, 19, ...

The second term is 17.

Answer:

90 boxes.

Step-by-step explanation:

Simplify the equation. You get 1 box per 6 minutes.

Step-by-step explanation:

Use the Distributive Property:

[tex]-2(5x-1)+7(5x-1)-3(5x+1)[/tex]

[tex]-10x+2+35x-7+15x-3[/tex]

P is correct.

Simplify:

[tex]40x-8[/tex]

T is correct using FOIL or distribution.

Use the FOIL method to simplify:

Use 5x-1 then multiply with -2, 7, and -3.

Note: With -3, -5x + 1 is in the parenthesis, we need to change -3 to 3.

Changing -3 to 3 will equal the distribution of -3(-5x+1).

Our expression: [tex](5x-1)(-2+7+3)[/tex]

S is correct.

Answer: 30 should be negative

Step-by-step explanation:

when having an equation like that, you must multiply -5 by 3, which equals to -15, then multiply-5 by 6 which then equals to -30. The correct equation should be -5(3+6)= -15+-30= -45

I think this should be correct, hope this helps!

Answer:

a) The negative was not distributed to the 6

b) -45

Step-by-step explanation:

This simplification uses the distributive property. This is when a factor outside of parentheses is multiplied by the factors within the parentheses. When using this property, if the factor outside the parentheses is negative, then that negative must be distributed to both factors within the parentheses.

-5(3+6)

-15 + -30

-15-30

-45

Answer:

1651.40625

Step-by-step explanation:

Multiplying or dividing an even number of negative terms equals a positive.

195÷32×271

Using the rule of BODMAS,

(D) Division first.

195÷32 = 6.09375

(M) Multiplication next.

6.09375×271 = 1651.40625

Alternate form ↓

52845

32

OR

1651¹³/32

Area of a polygon can be derived from sum of area of its sub-parts. The area of the considered polygon is given by: Option C: 316 cm²

Some polygon are of standard shapes like rectangle, triangle, parallelogram etc, but some are not standard and can be of any shape. For finding their area, we divide that non-standard polygon in parts such that it gets divided in standard polygons.

Then, we get:

Area of non-standard polygon = sum of all standard polygons forming that initial polygon.

For the given case, dividing the polygon in the shapes whose area we know(which is called here as standard polygons), as shown in the figure attached below, we get:

Area of polygon = Sum of area of those composing parts.

Area of polygon =  Area of upper triangle ABC + Area of bottom rectangle BDEF

Height of ABC triangle = height of polygon - height of rectangle

Height of ABC = 18 - 14 = 4 cm

Base of ABC = length of BC = length of BD - length of CD = 21-10 = 11 cm

Thus, area of ABC = [tex]\dfrac{1}{2} \times base \times height = \dfrac{1}{2} \times 4 \times 11 = 22 \: \rm cm^2[/tex]

Area of rectangle BDEF = length times width = [tex]14 \times 21 = 294\: \rm cm^2[/tex]

Thus, area of polygon = Area of ABC + Area of BDEF = 22 + 294  cm²

Area of polygon = 316 cm² (option C)

Learn more about total area here:

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Answer: 338 cm^2

Hope this helps! :)

Please mark me brainliest.

Answer:

2 with a remainder of 10

Step-by-step explanation:

11 goes into 32  2 times which is 22. Then there is 10 leftover as a remainder.

Answer:

a= $60

b= $660

Step-by-step explanation:

0.05 x 600 = 30

30x2 =60

Answer:

5 units

Step-by-step explanation:

The area of a sector is [tex]A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius and [tex]\theta[/tex] is the angle formed:

[tex]A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r[/tex]

Therefore, the radius of the sector is 5 units

Answer:

The numerator of the first fraction 8 is greater than the numerator of the second fraction 3 , which means that the first fraction 812 is greater than the second fraction 312 and that 23 is greater than 14 .

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

[tex]2 \frac{3}{4} - 4 \frac{1}{4} \\ = > \frac{11}{4} - \frac{17}{4} \\ = > \frac{ - 6}{4} \\ = > \frac{ - 3}{2} [/tex]

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

A trapezoid is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides.

(Therefore, statement 1 is incorrect and statement 4 is correct)

If the non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid.  An isosceles trapezoid has a line of symmetry and both the diagonals are equal in length.

(Therefore, statement 3 is correct).

Statement 2 is incorrect as the diagonals are NOT perpendicular

Answer:

C is the corect answer give brainliest boy or girl above his/her/they explanation was good

Answer:

34

Step-by-step explanation:

We know the area is 52 cm and that one length is 13cm. This means that in order to find the missing length, we need to divide 52 by 13. this gives us 4, meaning that the missing side is 4 cm.

Now we add 26 (Double of 13 because it is both sides) to 8 (Double of 4 because they are same lengthening sides)

We then get 34.

Hope this helps :)

Answer:

2=(2,4,6,8,10,12,14,16,18)

4=(4,8,12,16)

Answer:

$30

Step-by-step explanation:

cost of tip is represented by 25 multiplied by 0.2:

25*0.2=5

add onto original price:

25+5=30

good luck :)

Answer:

$30 dollars

Step-by-step explanation:

Given the following question:
Total price = $25.00
20% tip

In order to find the answer, we find 20% of the 25-dollar haircut. Then we add that number to the original price of the haircut.

[tex]\frac{25\times20}{100} =25\times20=500\div100=5[/tex]
[tex]25+5=30[/tex]
[tex]t=30.00[/tex]

Total cost of the haircut was "$30.00 dollars."

Hope this helps.

Answer:

Calculate one-time simple interest, and simple interest over time

Determine APY given an interest scenario

Calculate compound interest

Answer:

x = 4

Step-by-step explanation:

Let's look at the ratio of the hypotenuse of both triangles:

25 : 5 = 25/5 = 5

we can see that the measures of the sides of the larger triangle are 5 times those of the smaller triangle.

Therefore, 3x + 8 = 4 x 5

⇒ 3x + 8 = 20

⇒ 3x = 20 - 8 = 12

⇒ x = 12 ÷ 3 = 4

⇒ x = 4

Answer:

x=4

Step-by-step explanation:

As you can see, these triangles are demonstrating a scale factor. It is upscaling by 5. To find out what x is equal to, we need to upscale the smaller side. In this scenario, we have to multiply 4 by 5. This will get you 20. Now we can make an equation.

20=3x+8

We can subtract 8 from both sides.

Now we have:

12=3x

now dividing 12 by 3, we get

x=4

Answer: 1

Step-by-step explanation:

16 * 1/2 = 8

7x + 1 = 8

7x = 7

x = 1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]

Hope it helps ⚜

Answer:

adjacent. x=55

Step-by-step explanation:

Answer:

Adjacent

x=55

Step-by-step explanation:

Vertical angles are made by the same lines but are opposite of each other. These angles are not opposite, and thus they are not vertical. Adjacent angles, on the other hand, share a common side and vertex. In other words, they touch. So, since these share both a common side and vertex, they are adjacent.

Additionally, the large-angle (that contains the smaller, adjacent angles) is a right angle, meaning that it has a measure of 90 degrees. So, if we know that part of the angle is 35 degrees, then the missing angle must be equal to 90-35. 90-35=55 degrees.

Answer:

D. [tex]9(y+3) and 27+9y[/tex]

Step-by-step explanation:

The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.