Prove that tan(45+A)tan(45-A)=1

Answer:

49.47 m

Step-by-step explanation:

You will need to use the cosine function

which is the ratio adjacent side/hypotenuse

So, let x = length of guy wire

then   cos 14 = 48/x

         x cos 14 = 48

             x = 48/cos 14

                = 49.47 m

Note:  You must memorize the definitions of all the trig functions so you can do problems like this one.  OK?

Answer:

C

Step-by-step explanation:

Answer:

[tex](a)[/tex] [tex]\frac{30}{5} = 6[/tex] and [tex]\frac{60}{10} = 6[/tex]

[tex](b)[/tex] [tex]\frac{24}{3} = 8[/tex] and [tex]\frac{96}{12} = 8[/tex]

[tex](c)[/tex] [tex]\frac{112}{8} = 14[/tex] and [tex]\frac{28}{2} = 14[/tex]

Step-by-step explanation:

Given

[tex](a)\ 15 * \frac{2}{5} = 6[/tex]

[tex](b)\ 6 * \frac{4}{3} = 8[/tex]

[tex](c)\ 16 * \frac{7}{8} = 14[/tex]

Required

Write 2 division equations

[tex](a)\ 15 * \frac{2}{5} = 6[/tex]

Express 15 as 15/1

[tex]\frac{15}{1} * \frac{2}{5} = 6[/tex]

Multiply numerator and denominator

[tex]\frac{30}{5} = 6[/tex] --- This is (1)

Multiply the fraction by a common term (e.g. 2)

So, we have:

[tex]\frac{30*2}{5*2} = 6[/tex]

[tex]\frac{60}{10} = 6[/tex] ---- (2)

[tex](b)\ 6 * \frac{4}{3} = 8[/tex]

Express 6 as 6/1

[tex]\frac{6}{1} * \frac{4}{3} = 8[/tex]

Multiply numerator and denominator

[tex]\frac{24}{3} = 8[/tex] --- This is (1)

Multiply the fraction by a common term (e.g. 4)

So, we have:

[tex]\frac{24*4}{3*4} = 8[/tex]

[tex]\frac{96}{12} = 8[/tex] ---- (2)

[tex](c)\ 16 * \frac{7}{8} = 14[/tex]

Express 16 as 16/1

[tex]\frac{16}{1} * \frac{7}{8} = 14[/tex]

Multiply

[tex]\frac{112}{8} = 14[/tex] ---- This is (1)

Divide the fraction by a common term (e.g. 4)

[tex]\frac{112/4}{8/4} = 14[/tex]

[tex]\frac{28}{2} = 14[/tex]

Answer:

slope: -4/3

y-intercept: 7

Step-by-step explanation:

Answer:

An InVESTtigator

Step-by-step explanation:

I've heard this before

Answer:

An Investigator.

Answer:

the answer is 600

Step-by-step explanation:

$5,000×3%×4years÷100%=$600

Answer:

14k

Step-by-step explanation:

add 10 and 4 because they both have k

Answer:

-50 x 2 or -25 x 4 or -10 x 10 all equal 100

-7 x 3 = -21

Answer:

-25 times 4

Step-by-step explanation:

-25 multiplied by 4 is -100 and is-21 when added together

Answer:

La respuesta es 51-52-53, Si No me crees calculalo

Step-by-step explanation:

Answer:

A)Jo arrived at the destination and prepared to return.

B)8km/h

Step-by-step explanation:

divide 30 by 3.75 which will give you 8km/h.

Hope this helps.

Answer:

so its 50+.25(x) = y or 140. x is amount of minutes y is total

Answer:

140

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Try to get the variable alone by dividing 5/8 on both sides of the equations.

That cancels out the 5/8 on the left leaving u and the 25 on the right turns into 40. It turns into 40 because 25 divided by 5/8 equals 40.

Answer:

40

Step-by-step explanation:

Multiply both sides by 8/5

Answer:

C, 8,634.86

Step-by-step explanation:

Starting with 8,591.69

2.51% of 8,591.69 is 215.651419

subtract that from 8,591.69 and you get 8376.038581

3.09% of 8376.038581 is 258.819592153

258.819592153+8376.038581=8634.85817315

8,634.86 is your final answer

Answer:

504 in

Step-by-step explanation:

8 × 12 × 6 = 576

Then find the volume of the part that is taken out.  

2 × 6 × 6 = 72

and now subtract them

576 - 72 = 504

so your answer is 504in

Answer:

x+y=10

y=10-x

To  isolate y, you subtract x on both sides.

Let me know if this helps!

Answer:

122 degrees

Step-by-step explanation:

*A pentagon has a total of 540degrees

1st step: take all of the degrees and add them up:

105 + 90 + 86 + 137 = 418

2nd step: subtract the sum from 540:

540 - 418 = 122

The missing angle is 122 degrees

Answer:

∠ C = 122°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540°

∠ C + 137° + 86° + 105° + 90° = 540 , that is

∠ C + 418° = 540° ( subtract 418° from both sides )

∠ C = 122°

Answer:

3060

Step-by-step explanation:

To solve this use this formula,

[tex]({n - 2}) \times 180[/tex]

where n is the number of sides of the shape.

There is 19 sides so

[tex](19 - 2) \times 180[/tex]

[tex]17 \times 180 = 3060[/tex]

3060 is the answer

Answer:

TU!!!!!

Step-by-step explanation:

but what is ur queatiln

Answer:

What can I help you with?

Step-by-step explanation:

Answer:

I would say B The x-intercept of function p is less than the x-intercept of function q. tell me if you got it right.

Step-by-step explanation:

The correct answer is option B. The x-intercept of function p is greater than the x-intercept of function q.

The x-intercept is where the curve represented by the equation cuts the x axis. At that point the ordinate should be 0.

[tex]log_{2} (x-1)=0[/tex]

⇒ x= 2

The x-intercept of p(x) is 2

2^x-1 = 0

⇒x= 0

The x-intercept of q(x) is 0

So, we can see the  x-intercept of p(x) is greater than x-intercept of q(x)

You can find more details on: https://brainly.com/question/165356

#SPJ2

Answer:

I am sorry I want points

Step-by-step explanation:

thanks for your help

Answer:

C. 1.725*10^-2

Step-by-step explanation:

Simplify exponent

0.017+0.00025 = 0.01725

Scientific notation is 1.725*10^-2

Answer:

124

Step-by-step explanation:

The measure of arc mFD in the above figure is 130°.

The arc of a circle is a portion of the circumference of that circle. It's outlined as a continuous curve that connects two points on the circle. The two endpoints of the arc are known as the arc's endpoints, while the center of the circle is appertained to as the arc's center.

The extent of an arc is directly proportional to the size of the angle it subtends at the center of the circle. However, the arc will be longer, and if the angle is inferior, If the angle subtended is substantial.

From the figure, it is evident that ∠AOC = 90° and ∠AOB = 140°.

As it is known that the whole angle is 360°.

So,

∠AOB + ∠AOC + ∠BOC = 360°

140° + 90° + ∠BOC = 360°

∠BOC = 360° - 140° - 90°

∠BOC = 360° - 230°

∠BOC = 130°

So,

mBC = 130°

Also, as evident from the figure,

mFD = mBC

So,

mFD = 130°.

Therefore, the measure of arc mFD is 130°.

Learn more about arc here:

https://brainly.com/question/31612770

#SPJ4

Answer:

X= 6.4   ∠A=68.8

Step-by-step explanation:

We know that these 2 angle must equal 180 so we use the equation:

180=7x+24+3x+92

OR

180=7x+3x+24+92

Then, we add like terms (both variable and numbers)

180=10x+116

After that, we solve

180=10x+116

-116        -116

__________

64=10x

________

64/10 = x

________

6.4=x

Now that we have found x, we can plug in x to figure out the new equation to find the angle of A (or B).

∠A= 7(6.4)+24

If we solve that, it would be:

∠A=44.8+24

___________

∠A=68.8

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Answer:

70p+80 + 2p+1

Step-by-step explanation:

they combine to the original expression

Answer:

[tex]9(8p+9)[/tex]

Step-by-step explanation:

I guess this is what you are looking for, if not what is the answer choices, or available answers.