Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?

Answer:

B

Step-by-step explanation:

You just subtract

Answer:

4

Step-by-step explanation:

Greatest common factor (GCF) of 36 and 56 is 4.

Step-1: Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 2^2 × 3^2

Step-2: Prime Factorization of 56

Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:

56 = 2^3 × 7^1

Step-3: Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Step-4: Factors of 56

List of positive integer factors of 56 that divides 36 without a remainder.

1, 2, 4, 7, 8, 14, 28

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 56 is 4.

The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The two numbers are: 36 and 56

As we know GCF means highest common factor, the factor which presents the in both numbers:

The GCF(36, 56) can be found using the Division Lemma:

56 = 36x1 + 20

36 = 20x1 + 16

20 = 16x1 + 4

16 = 4x4 + 0

The value of GCF(36, 56) :

GCF(36, 56)  = 4

Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

Learn more about the LCM here:

brainly.com/question/20739723

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Answer:

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

Step-by-step explanation:

hopes this helps

-Unknown

Answer:

100 - 60 is 40 so it is 40%

Step-by-step explanation:

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

Answer:

$1.21 per song

Step-by-step explanation:

6 × $1.21 = $7.26

17 × $1.21 = $20.57

20 × $1.21 = $24.50

Answer:

a

Step-by-step explanation:

the answer is a. 6 faces 12 edges and 8 vertices

Answer:

I beleive it is the first option

Step-by-step explanation:

Answer:

x = 38.05

Step-by-step explanation:

Using the Pythagoras theorem to find x

x is the hypotenuse

The other sides are opposite and adjacent

x² = 30²+25²

x² = 900+625

x² = 1525

x = √1525

x = 39.05

Answer:

B. 160 inches

Step-by-step explanation:

The wrapping paper would be the surface area of the box.

The surface area of a box is 2(h * W) + 2(h * L) + 2(W * L)

h = height

W = width

L = length

length x width x height

length = 5 in

width = 2 in

height = 10 in

2(10 * 2) + 2(10 * 5) + 2(2 * 5)

2(20) + 2(50) + 2(10)

40 + 100 + 20

160 inches

Answer:

13/14

Step-by-step explanation:

3/7+1/2

LCM = 14

6/14+7/14=13/14

Answer:

6/14 + 7/14 = 13/14

Answer:

31.42 ft.

I dont know if this answer is fully correct because i hate doing circles so sorry if im wrong

Step-by-step explanation:

Answer:

20 is your diameter

Step-by-step explanation:

radius is half of a diameter

Answer:

A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

Answer:

A. 4

B. 2

C. 3

D. 2

Step-by-step explanation:

Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..

Remember like this:

90 x 1 =90

90 x 2 =180

90 x 3 = 270

90 x 4 = 360

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer:  Line A and Line C are parallel

Answer:

Step-by-step explanation:

m = 3

(1 , 6)

y - y1 = m(x -x1)

y - 6 = 3(x - 1)

y - 6 = 3x - 3

    y = 3x - 3 + 6

    y = 3x +3

Standard form:

-3x + y - 3 = 0

Answer:

3.99 or 4

Step-by-step explanation:

The sum of the six known measurements is 78.4

3.99+78.4=82.39

Divide 82.39 by seven to get the average and it equals 11.77

Answer:

You can solve 1.2 word problems per minutes

Step-by-step explanation:

If 6 word problems were solved in 5 minutes, you must put this into a fraction. We're looking for how many word problems could be solved per minute, so we divide 5 by itself to get 1 and whatever you do to the bottom, you must do to the top, so 6 divided by 5 is 1.2

Hope this helped ;)

Answer:

Range: [1, ∞)

Step-by-step explanation:

[tex]f(x)=2(x+3)^2+1[/tex]

Range: [1, ∞)

Answer:

2 2/3

Step-by-step explanation:

7-5 =2

2/3+2= 2 2/3

hope this helpes

9514 1404 393

Answer:

  ∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

  ∠D = 180° - ∠B

  ∠D = 180° -112°

  ∠D = 68°

Answer:

Younger: 12.78 per item

Older: 9.67 per item

Step-by-step explanation:

Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.

Younger Brother:

8 shirts + 10 shorts = 18 items for $230

$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)

Older Brother:

8 shirts + 4 shorts = 12 items

$116 ÷ 12 items = about 9.67 per item (estimated again)

Answer:

6.1

Step-by-step explanation:

is the answer

Answer:

2x(2x - 3)

Step-by-step explanation:

Given:

(3x^2+2y^2-3x)+(2x^2+y^2-2x)-(x^2+3y^2+x)

Written as:

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

= 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x

Collect like terms

= 3x² + 2x² - x² + 2y² + y²- 3y² - 3x - 2x - x

= 4x² + 0 - 6x

= 4x² - 6x

= 2x(2x - 3)

Answer:

[tex]4[/tex] x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4*10^6

Step-by-step explanation:

no it is not equal. its because you are multiplying one by 3 and the other by 2. you have to multiply them by the same number for them to be equal

Answer:

329

Step-by-step explanation:

thanks for points have a blessed day

Step-by-step explanation:

329 :) i kinda don't know how to explain

Answer:

answer is:

Circum: 25.13274 cm^2

Area: 50.26548 cm^2

Step-by-step explanation for the CIRCUMFERNCE ONLY:

Original equation for the circumference of a circle:

C=2(pi)r

We will use 3.14 as pi

We know that the diameter of a circle is 2 times the radius, so in order to find the radius all we have to do is divide the diameter by 2.

8/2 = 4

So now we know what the radius is equal to.

4

So now just plug in your numbers to the original equation

2 X (3.14) X 4

25.13274

If we were to round up the answer would be

25.13

Hope this helps!

Option b. 0.496

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496