Two​ fire-lookout stations are 100 miles ​apart, with station A directly south of station B. Both stations spot a fire. The bearing of the fire from station A is Upper N 55 degrees Upper EN55°E and the bearing of the fire from station B is Upper S 60 degrees E.S60°E. How​ far, to the nearest tenth of a​ mile, is the fire from each lookout​ station?

Answer:

C

Step-by-step explanation:

Okay, so for this, you need to know that (g°f)(x) = g(f(x))

in order words, we are using the f(x) equation as X for the g(x) equation..

[tex]\frac{ x^{2} +5 + 5}{ x^{2} +5}[/tex] = [tex]\frac{x^{2}+10}{x^{2}+5}[/tex]

Now, we just plug in -3 for X

[tex]\frac{(-3)^{2} + 10 }{(-3)^{2} + 5} =\frac{9 + 10}{9 + 5} = \frac{19}{14}[/tex]

C

Answer:

r1= -3

r2= (11/2)

Step-by-step explanation:

5-4r=17

-4r=17-5

-4r=12

r=13

and

5-4r=-17

-4r=-22

r= 11/2

So the right answer is 24.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

24

Step-by-step explanation:

Solve according to PEMDAS. Perform the operation inside the parentheses first, then evaluate exponents, multiply, divide, add and subtract.

(3-5)^4(2)-16/2

First, perform the operation inside the parentheses. Subtract 5 from 3.

(-2)^4 (2) -16/2

Next, evaluate the exponent. -2^4 is the same as multiplying -2, 4 times.

-2*-2*-2*-2=16

So, -2^4 is equal to 16

16(2)-16/2

Multiply 16 and 2.

32-16/2

Divide 16 by 2

32-8

Subtract 8 from 32

24

The correct answer is 24

Answer:

The tangent of ∠L represents the ratio between side NM and side LN.

The value of this tangent is 0.9028

Step-by-step explanation:

The angle ∠N is 90°, so we have a right triangle. In a right triangle, the tangent of an angle represents the ratio between the opposite side of that angle and the adjacent side (the cathetus, not the hypotenusa) of that angle.

So, in the triangle LMN, the opposite side to the angle ∠L is NM, and the adjacent side is LN (ML is the hypotenusa, because it is the bigger side). The value of this tangent is:

tan(L) = NM / LN = 65 / 72 = 0.9028

Answer:

65/72

Step-by-step explanation:

deltamath gave me the answer

Answer:

D. 1975-76

Step-by-step explanation:

In the picture attached, the price of gold per ounce is shown.

We can see that from the year 1972 to 1976 the only period in which the price decreased was in the period 1975-76, where prices decrease from approximately $220 per ounce to approximately $180 per ounce

Answer:

24 in

Step-by-step explanation:

12 sides times 2in = 24in

Answer:

y=6

Step-by-step explanation:

step 1:

26 • (7y + 8) - 1300 = 0

Step 3:

Pulling out like terms :

3.1     Pull out like factors :

182y - 1092  =   182 • (y - 6) 

Equation at the end of step 3:

182 • (y - 6) = 0

Step  4  :

Equations which are never true :

4.1      Solve :    182   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    y-6 = 0 

Add  6  to both sides of the equation: 

                      y = 6

Answer:

a) 72 cm^2

b) 9 cm^2

c) 9 cm^2

d) 60.39 cm^2

Step-by-step explanation:

a) the the length is 12 cm and the width is 6 cm. Area = lw

A=(12)(6)

A=72 cm^2

b) base equals 3 cm

Height equals 6 cm

A=1/2(3)(6)

A= 9 cm^2

c) base = 3 cm

height=6 cm

Area=1/2(3)(6)

A=9 cm^2

d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.

3^2 + 6^2 = x^2

9 + 36 = x^2

45=x^2

✓45 = ✓x^2

x = 6.71 cm

12-3 = 9

now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.

A= 60.39 cm^2

Answer:

x^2+5x+13=0

Step-by-step explanation:

x upper 2 and 5x

Answer:

18 and 20, 4

Step-by-step explanation:

Math reasoning 1:

Set the first number as x and the other one as x+2 because it is a consecutive even number.

x+x+2=38

2x=36

x=18

18+2=20

The 2 consecutive numbers are 18 and 20

Problem solving 1:

Write out equation first, set the unknown number as x

5+x=9

x=4

Answers:

Top Yellow: 2(n+7) = 13

Bottom Red: 5(n-2) = 4

Step-by-step explanation:

Top Yellow Example: 2 times the sum of the number x and 7 is 13. Use words in the sentence to replace them with mathematical symbols. Sum is equal to +, etc. 2(n+7) = 13 is your answer.

Answer: 39 degrees

Step-by-step explanation: The box tells us that is a 90 degree angle. Subtract 90-51=39. They add to 90 degrees.

Answer:

Do you mean b? 39°

Step-by-step explanation:

90-51=39

Please mark as Brainliest! :)

Have a nice day.

Answer:

d. 2

Step-by-step explanation:

if you have to find the input just do the output divided by the muliply by which gives you the input

Answer:

Option D  y=-3x^2 +4

Step-by-step explanation:

This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4

Answer: x = 4394.9

Step-by-step explanation:

x.sin(21) = __1575__ . x

                      x

cross out the x from both side then

_x.sin (21)_____ =  _1575_____

sin(21)                         sin(21)

x = 4394.9

tell me if that is the right answer

Mark me as brainliest if i got it right

So the right answer is 15.57.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

Answer:

the answer is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer:

(25x9x4)(x)

Step-by-step explanation:

They both equal 900x

Answer:

(0.4)² = (0.4).(0.4) = 0.16

His error is, instead of raising (0.4) to exponent 2, he multiplied (0.4) by 2 , obviously which is wrong

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

(.4) ^2 = this means .4  times  itself

.4*.4

.16

Answer:

[tex]=31.64ft^2[/tex]

Step-by-step explanation:

Triangle

[tex]A=\frac{h_{b}b }{2} \\=\frac{4*6}{2}\\=12ft^2[/tex]

Semicircle

[tex]A=\frac{\pi r^2}{2}\\=\frac{\pi 2.5^2}{2} \\=9.82ft^2\\[/tex]

because both semicircle are the same just multiply by 2

[tex]9.82*2\\=19.64ft^2[/tex]

Now add all together

[tex]12+19.64\\=31.64ft^2[/tex]

Answer:

31.64 ft*2

Step-by-step explanation:

Break down the problems by shapes-

1. Triangle= 4 x 6/2

=12 ft*2

2. Semi-Circle= 2.5/2 (sense their are two, we only need to solve one)

=9.82 ft*2

Multiply 9.82 by 2  

=19.64 ft*2

Adding all together

12+ 19.64

=31.64 ft*2

Answer:

20-e 21b 22-c

Step-by-step explanation:

Answer:

(2,7)(3,2)

Step-by-step explanation:

Answer:

I have 5 friends each friend gives me an equal piece of cookie. at the end I have 5 pieces of cookie that equal one cookie!

Step-by-step explanation:

PLZ MARK ME BRAINLIEST!

Answer:The answer would be $238.33 a month

Answer:

Volume, [tex]V=889.7\ m^3[/tex]

Step-by-step explanation:

From the attached figure,

Radius of shape is 5 m

Height of the cylindrical part is 8 m

It is required to find the volume of the given shape. The volume of the given object is equal to the sum of volume of cylinder and volume of hemisphere. So,

[tex]V=\pi r^2h+\dfrac{2}{3}\pi r^3\\\\V=3.14\times (5)^2\times 8+\dfrac{2}{3}\times 3.14\times 5^3\\\\V=889.7\ m^3[/tex]

So, the volume of the figure is [tex]889.7\ m^3[/tex].

Answer:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex] are Alternate Exterior Angles.

Step-by-step explanation:

Alternate Exterior Angles, are pair of angles that lie on the outside of the traversal and lie on the opposite sides.

The required name of the relationship between 1 and 8 is alternate exterior angles

The correct option is (c)

When a transversal cut the pair of parallel lines then the alternate exterior angles are congruent.

Consider the given pair of parallel lines and transversal

we have

angel 1 and 5 are corresponding angles

angle 2 ad 6 are corresponding angles

angle 1 and 8 are alternate exterior angle

angle 2 and 7 are also alternate exterior angle

Therefore the correct option is (c)

This is the conclusion to the answer.

Learn more about alternate exterior angle here-

https://brainly.com/question/24839702

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Answer:

2

Step-by-step explanation:

The answer is 2 because the expression tells you that the numbers in parentheses are the ones you start with first. In this case you need to start from left to right since both sides are in symbols.

1. 3x4=12

2. 24-18=6

3. 12/6=2

And there you have it! Please leave a vote and a thanks! Let me know if it's correct!

The airplane is 48 feet long in real dimensions.

To find out how long the airplane actually is, we can use the scale and input our amount of inches that it is measured by.

So, 1 inch equals to 6 feet.

Our model plane is 8 inches.

Now, we plug it in.

8 inches = 6(8)

8 inches = 48 feet

Therefore, the length of the real airplane is 48 feet.

48 feet

Answer:

48 feet

Step-by-step explanation:

Let's create a proportion using the following setup.

inches/feet=inches/feet

We know the scale is 1 inch to 6 feet. We also know that the plane is 8 inches long, but we don't know how many feet long it is, so we can say x feet.

1 inch/6 feet= 8 inches/ x feet

1/6=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Multiply the denominator of the first by the numerator of the second.

1*x=6*8

x=6*8

x=48

Add appropriate units, in this case: feet.

x= 48 feet

The actual airplane is 48 feet long.

Answer:

its C

Step-by-step explanation:

I took the test

The simplified expression of the ∛4x / 5 is ∛4x / ∛5

The expression can be simplified as follows:

∛4x / 5

using law of indices

[tex]\sqrt[a]{b} =b^{\frac{1}{a} }[/tex]

∛4x / 5 = [tex](\frac{4x}{5} )^{\frac{1}{3} }[/tex]

Therefore,

∛4x / 5 = ∛4x / ∛5

learn more on simplified expression here: https://brainly.com/question/25940273

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Answer:

that would be 108

Step-by-step explanation: it's 108 b/c supplementary angle/ either of two angles whose sum is 180°.

Answer:

Let the angle be x .

Its supplementary = 180 - x

Given:

x = 180 - x - 72

2x = 108

x = 54

Other angle = 180 - 54 = 126

Answer:

864/(6*12)

864/72

12 = l

Answer:

Step-by-step explanation:

V = l * b * h

l = V/(b * h)

L = 864/(6*12)

L = 864/72 = 12 inches