Find the value of x in the triangle shown below.
2 =
10
116°
10
17

Answer:

The southern lighthouse is 3.4 miles closer than the northern lighthouse

Step-by-step explanation:

From the figure we see that we need to find the distances AK and BK.

The measure of the third angle K is = 180- 25-35= 120 degrees

Using the sine ratios we can find the two distances

From the figure

The northern distance is given by

20/ sin 120 = kA/ sine 35

KA= 20 sine 35/ sine 120

KA= 13.25 miles

The southern distance is given by

20 /sine 120= KB / sine 25

20 sine 25/ sine 120 = KB

KB= 9.759=9.76 miles

Difference between the two miles =

13.25 miles - 9.76 miles = 3.49 miles

The southern lighthouse is 3.4 miles closer than the northern lighthouse

Option C is correct

Answer:

The difference is 6.74 * 10^-3 centimeters

Step-by-step explanation:

Firstly, we need to write the numbers as they would occur normally

we have this as;

7.65 * 10^-3 = 0.00765

9.1 * 10^-4 = 0.00091

So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number

we have this as;

0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters

Answer:

It is 0.67

If the number after the number you want to round is bigger than 5 then the number would be added with 1

Answer:

The answer is 0.15

Step-by-step explanation:

Hope this helps!

Answer:

170

Step-by-step explanation:

35 x 3cars= 105  13 x 5hours= 65      105+65= $170

"How many pairs of shows do students in your school have?" is a statistical question.

Answer:

133 windows in 7 hours

Step-by-step explanation:

38 divided by 2 and you get 19

19 x 7 = 133

Answer:

133 windows

Step-by-step explanation:

First, you would want to find how many windows he can clean in 1 hour.

You know that 38 windows = 2 hours.

To do this, divide both sides by 2 (to get 1 hour). You will get 19 windows = 1 hour.

Now to find 7 hours, multiply both sides of 19 windows = 1 hour by 7 (to get 7 hours). You will get 133 windows cleaned in 7 hours.

Answer:

153.94

Step-by-step explanation:

c=2r*r

The radius is half of the diameter.

To find the radius you will divide 49 inches by 2.

You should get a total of 24.5

Now that you have your radius you are going to use the circumference formula to solve.

C= 2r*r

C=2(24.5)*(24.5)

type that into the calculator (without the parenthesis) and boom your done!

You answer should be 153.938

then you round to get a total of 153.94

I hope i was able to help!

Answer: c = 3771.481981 (decimal place) or 1200.5[tex]\pi[/tex] (exact form)

Step-by-step explanation:

c = 2[tex]\pi[/tex]r

c = 2 x [tex]\pi[/tex] x [tex]24.5^{2}[/tex]

radius = diameter divided by 2

          = 49 divided by 2

          =  24.5

c = 3771.481981 (decimal place) or 1200.5[tex]\pi[/tex] (exact form)

Answer

83400000

Step-by-step explanation:

Answer:

892.38

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

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[tex] \sf \: The \: unit \: used \: for \: area \: is \hookrightarrow \boxed{ \bf \: {cm}^{2} }[/tex]

Answer:

Step-by-step explanation:

Answer:

10 dimes i think this is the answer hope it helps  

Step-by-step explanation:

Answer:

It's B.

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

The angles in a triangle must add up to 180 degrees, so:

180 - (53 + 27) = 100

100 ÷ 4 = 25

Answer:

x = 25.3

Step-by-step explanation:

83.49 = 3.3x

divide both sides by 3.3

x = 25.3

Answer:

1305

Step-by-step explanation:

             2 9

×   4 5

1 4  

1 4 5

1 3  

1 1 6 0

1  

1 3 0 5

Answer:

Hello!

Step-by-step explanation:

answer 6, 5, 8 Just count them!

Answer:

A. 6

B.5

C.8

Step-by-step explanation:

You count the units

Answer:

Length of one side is 8 units

Step-by-step explanation:

Given

The centre of this square is positioned at the origin as visible form the four co-ordinates

All the four co-ordinates are such that they are 4 units along the x-axis and 4 units along the y-axis.

Let us take the following two co-ordinates - (4,4),(4,−4). The X value for these two co-ordinate points is 4 and the Y values are such that one point has y = 4 and the other has y = -4 i.e 8 units in between.  

Thus, length of one side is 8 units.  

(a).

i hope it's help thanks

Answer:

The width of the frame is 2 inches

Step-by-step explanation:

The given dimensions of the picture = 7 inches by 7 inches

The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²

The area of the given picture and the frame, A₂ = 81 square inches

Let 'w' represent the width of the frame and whereby the picture is a square, we have;

The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)

A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²

49 + 14·w + w² - 81 = 0

w² + 14·w - 32 = 0

(x + 16)·(x - 2) = 0

∴ x = -16 or x = 2

Given that 'x' is a natural number, we have;

The width of the frame, x = 2 inches.

Answer:

The tax on the car equals $480, based on a 6% rate.

Step-by-step explanation:

Giving the following information:

Tax rate (t)= 6% = 0.06

Purchase price= $8,000

To calculate the tax (T), we need to use the following formula:

Tax= tax rate*purchase price

Tax= 0.06*8,000

Tax= $480

The tax on the car equals $480, based on a 6% rate.

Answer:

[tex]\sqrt{45} /3[/tex] = [tex]\sqrt{5}[/tex] = 2.236

b/c [tex]\sqrt{45} /3[/tex] = [tex]\sqrt{45} /\sqrt{9}[/tex] = [tex]\sqrt{45/9}[/tex] = [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{45/3}[/tex] = [tex]\sqrt{15}[/tex] = 3.873

Answer:

The answer is J

Step-by-step explanation:

Flip the figure and comoact it by 1/2

Answer:

answer: 4.5

Step-by-step explanation:

2x=3+6

2x=9

x=9/2

x=4.5

Answer:

x= [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

6-2x=3

-2x=3-6

-2x=-3

x= [tex]-3/-2[/tex]

x= 3/2 or 1.5

Answer:

The solutions to the equation are [tex]x = \frac{1}{5}[/tex] and [tex]x = -4[/tex]

Step-by-step explanation:

The factors of the quadratic function g(x) are (5x – 1) and (x + 4).

This means that:

[tex]g(x) = 0[/tex]

[tex](5x - 1)(x + 4) = 0[/tex]

So

[tex]5x - 1 = 0[/tex]

[tex]5x = 1[/tex]

[tex]x = \frac{1}{5}[/tex]

And

[tex]x + 4 = 0[/tex]

[tex]x = -4[/tex]

The solutions to the equation are [tex]x = \frac{1}{5}[/tex] and [tex]x = -4[/tex]

Answer:

Step-by-step explanation:

You can use the general expression as:

K = 1/2mv²

With your data:

K = 1/2(0.145)(40)²=

Answer:

The area of the roof is 3.80 m².

Step-by-step explanation:

The lateral surface area of an octagonal pyramid is given by:

[tex]A = 2s(\sqrt{4h^{2} + 5.828s^{2}})[/tex]   (1)

Where:

s: is the length of the base edge = 0.5 m

h: is the height                                                                                                      

We can find the height from the slant height (S = 1.9 m):

[tex] S = \sqrt{h^{2} + 1.457s^{2}} [/tex]   (2)

By solving equation (2) for "h" we have:

[tex] h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m [/tex]

Now, we can calculate the area of the roof (equation 1):

[tex]A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}[/tex]

Therefore, the area of the roof is 3.80 m².

I hope it helps you!        

Answer:

7 hours and 15 minutes

Step-by-step explanation:

8:15 to 3:15 is 7 hrs then just add the remaining 15 minutes to get to 3:30.

Answer: x^2 +9x+1

Step-by-step explanation: exponents go first (if there are more than 1, highest number to lowest), then x terms, then regular numbers

The polynomial 9x + 1 - x² is rewritten in the standard form and will be - x² + 9x + 1.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The quadratic polynomial is given as ax² + bx + c. Then the degree of the polynomial will be 2.

The quadratic polynomial is given as,

⇒ 9x + 1 - x²

The polynomial is rewritten in the form of standard form is given as,

⇒ 9x + 1 - x²

⇒ - x² + 9x + 1

The polynomial 9x + 1 - x² is rewritten in the standard form and will be - x² + 9x + 1.

More about the polynomial link is given below.

https://brainly.com/question/17822016

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