please please help

Three guy wires are being used to support a radio tower. One end of each wire is
attached to the top of the radio tower and the other end is anchored to the
ground 50 m from the base of the tower. If the wire must make a 65° angle with
the level ground, what is the length of each guy wire?

Answer:

3015.92894745 cm^3

Step-by-step explanation:

Formula for volume of cylinder(v)= πr^2h

Here,

r=8 cm

h=15cm

Now,

V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3

[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town

Answer:

you use the FOIL method

Step-by-step explanation:

First

Inner

Outer

Last

you just distribute the numbers to all of the others then simplify.

ex.

(x+4)^2

(x+4)(x+4)

x^2+4x+4x+16

x^2+8x+16

in this, x times x is x^2. then x times 4 is 4x and 4 times x is 4x and 4 times 4 is 16. then combine like terms

Answer:

m∠C = 108°

Step-by-step explanation:

The sum of the interior angles of a pentagon is 540°. Divide this sum by the number of angles to find the degrees of each one:

540/5 = 108

Answer:

A) 108 degrees

Step-by-step explanation:

regular pentagon means all the inside angles of the pentagon are the same

to find the inside angles of any polygon you can use the formula:

180(n-2)/n=a

where n is number of sides

a is the measure of one of its interior angles

pentagon has 5 sides

= 180((5)-2)/5

=180(3)/5

=540/5

=108

each angle of the regular pentagon is 108 degrees

measure of angle C is 108

1.  - 62.34

2. - 1.4997

3. - $76.49

4. - 23.29

5. - 0.27

6. - $28.26

7. - 0.378

8. - 7.08

9. - 0.3

10. - 1.64

Answer:

1. 62.34

2. 1.4997

3. $76.49

4. 23.29

5. 0.27

6. $28.26

7. 0.378

8. 7.08

9. 0.3

10. 1.64

Answer:

[tex]\displaystyle k = \frac{5}{6}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]

And we want to find the value of k such that the equation has two real and equivalent roots.

Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:

First, rewrite our equation:

[tex](2k+1)x^2 -8x + 6 =0[/tex]

The discriminant is given by:

[tex]\displaystyle \Delta = b^2 -4ac[/tex]

In this case, b = -8, a = (2k + 1), and c = 6.

Therefore, the discriminant is given by:

[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]

For it to have two equal roots, the discriminant must be zero. Hence:

[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]

Hence, the value of k is 5/6.

Answer:

[tex]102\textdegree[/tex]

Step-by-step explanation:

If we let the measure of the smallest angle be [tex]x[/tex], then we know that the measure of the angle that is three times as large as it is [tex]3*x=3x[/tex] and the measure of the angle that is [tex]10\textdegree[/tex] larger than it is [tex]x+10[/tex].

Because the sum of the measures of the interior angles in a triangle is [tex]180\textdegree[/tex], we can write the following equation to solve for [tex]x[/tex]:

[tex]x+3x+x+10=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+3x+x+10=180[/tex]

[tex]5x+10=180[/tex] (Combine like terms)

[tex]5x=170[/tex] (Subtract [tex]10[/tex] from both sides of the equation to isolate [tex]x[/tex], Simplify)

[tex]x=34\textdegree[/tex]

Therefore, the measures of the other angles are [tex]3x = 3 * 34=102\textdegree[/tex] and [tex]34+10=44\textdegree[/tex]. Since [tex]102>44>34[/tex], the measure of the largest angle will be [tex]\bf102\textdegree[/tex]. Hope this helps!

Answer:

Hello,

3842

Step-by-step explanation:

[tex]a=4-\sqrt{15} \\\\\dfrac{1}{a} =\dfrac{1}{4-\sqrt{15}} \\\\=\dfrac{4+\sqrt{15}}{(4-\sqrt{15})*(4+\sqrt{15})}\\\\=\dfrac{4+\sqrt{15}}{16-15} \\\\=4+\sqrt{15}\\\\[/tex]

[tex]a+\dfrac{1}{a} =4-\sqrt{15}+4+\sqrt{15}=8\\\\[/tex]

[tex](a+\dfrac{1}{a} )^2=a^2+\dfrac{1}{a^2} +2\\\\a^2+\dfrac{1}{a^2} =8^2-2=62\\[/tex]

[tex](a+\dfrac{1}{a} )^3=a^3+\dfrac{1}{a^3} +3*\dfrac{a^2}{a} +3*\dfrac{a}{a^2} \\\\8^3=a^3+\dfrac{1}{a^3} +3(a+\dfrac{1}{a} )\\\\a^3+\dfrac{1}{a^3} =8^3-3*8=488\\[/tex]

[tex](a+\dfrac{1}{a} )^4=a^4+\dfrac{1}{a^4} +4*\dfrac{a^3}{a} +6*\dfrac{a^2}{a^2} +4*\dfrac{a}{a^3}\\\\a^4+\dfrac{1}{a^4}=(a+\dfrac{1}{a} )^4-4*a^2-4*\dfrac{1}{a^2} -6\\a^4+\dfrac{1}{a^4} =8^4-4*62-6\\\\=4096-248-6\\\\=3842\\\boxed{a^4+\dfrac{1}{a^4} =3842}\\[/tex]

Using a calculator:

[tex]a=4-\sqrt{15}=0,1270166537925831148207346002176....\\\\a^4= 2,6028112122495108436170792979303e-4\\\\\dfrac{1}{a} =4+\sqrt{15} =7,8729833462074168851792653997824...\\\\\dfrac{1}{a^4}=3841,9997397188787750489156382921....\\\\a^4+\dfrac{1}{a^4} \\\\= 2,6028112122495108436170792979303e-4+3841,9997397188787750489156382921....\\\\=3842\\[/tex]

Answer:

Step-by-step explanation:

Draw a line through the data points with about half of the points on one side of the line and the other half on the other side.  You'll see that there is a slight positive rise in the graph as we move from left to right, but the correlation is weak.  Thus, 0.4 is the correct correlation coefficient in this case.

The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.

The statistical concept of correlation describes how closely two variables move in tandem with one another.

As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.

But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.

Therefore, the given graph shows positive weak correlation with value 0.4.

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Answer:

Hshushahhahaa

Hdhddjkddjdkjd

G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up

Given :

Original function f(x)=x

To find :

Function G whose graph is a vertical stretch by 2  and move one unit up

We use the given function to for vertical stretch and shifting up

for Vertical stretch multiply the factor by f(x)

f(x) becomes  2f(x)

so the function becomes 2x

[tex]f(x)=2f(x)=2x\\[/tex]

For moving up , we need to add the units at the end of the function

f(x)+1

2x+1

Hence, G(x)=2x+1

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Answer:

_

-58

Step-by-step explanation:

Im pretty sure hope it helps

Answer: -78 / 35

Step-by-step explanation:

Given

 2/5 + 3/7 + (-6/5) + (-13/7)

Combine terms that have the same denominator

= 2/5 + (-6/5) + 3/7 + (-13/7)

= -4/5 - 10/7

Convert denominator by Least Common Multiple (LCM)

= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)

= -28/35 - 50/35

= -78 / 35

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

Answer:

351.9

Step-by-step explanation:

Surface Area of cylinder = 2πrh+2πr^2

2π(4)(10) + 2π(4)^2

= 351.9

answered by g a u t h m a t h

A is the answer to your question

To solve this, just distribute the 4 to each of the coefficient and see if it would result in the same coefficients in the original expression

Answer:

396

Step-by-step explanation:

the volume of a rectangular is calculated as V=l×w×h

l=11, w=12, h=3

V=11×12×3

V= 396

Answer:

F an amazing result.

Step-by-step explanation:

I'm sure I didn't do this the way it was intended, but I think I got it right.

First of all, we have to agree that CAB is marked as a right angle. If you do not agree, leave a note.

Step One

Find the length of AC

BC = 16

AB = 10

AC^2 = BC^2 - AB^2

AC^2 = 16^2 - 10^2

AC^2 = 256 - 100

AC^2 = 156

AC = SQRT(156)

AC = SQRT(4*13 * 3)

AC = 2 SQRT(13)

Step Two

Find the height (AD)

There are two ways to find the area of the large triangle ABC

Area = 1/2 * 16 * AD          and

Area = 1/2 AC * 10            The two legs.

Since these areas must be equal, equate them. You are looking for AD

16 * AD = 2*sqrt(39) * 10   Divide by 16

AD =  20* sqrt(39)/16

AD = 5 * sqrt(39) / 4

Step 3

Find x or DB

DB^2 = 10^2 - [(5 *sqrt(39)/4]^2

DB^2 = 100 - 25*39/16

DB^2 = 100 - 60.9375

DB^2 = 39.0625

DB = SQRT(39.0625)

DB = 6 1/4

6 1/4 is the same thing as 25/6 which is F

Answer:

F. 25/4

Step-by-step explanation:

just took the quiz

Answer:

50%

Step-by-step explanation:

so 1 half is colored in so 1/2 is also 50%

Answer:

it's 50% because it's half the circle

Answer:

-32x-60y+1122=0

-(32x+60y-1122)=0

32x+60y-1122=0

by factorize

Answer:

24,30

Step-by-step explanation:

Answer:

x value is 7

the answer is 7

Answer:

(0,5) --> 5 is the y intercept

Step-by-step explanation:

Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,

SO that would be the 3rd set or (0,5)

The y-intercept of the function is A = ( 0 , 5 )

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the x values of the function are

x = { -2 , -1 , 0 , 1 , 2 , 3 }

And , the y values of the function are

y = { 15 , 10 , 5 , 0 , -5 , -10 }

And , the y intercept of the function is when the value of x = 0

So , when x = 0

y = 5

Hence , the y-intercept is ( 0 , 5 )

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Answer:

Not a function fails the vertical line test

Step-by-step explanation:

This is not a function.  The value of x = -1  goes to two different values of y

This would fail the vertical line test

Answer:

the first one

Step-by-step explanation:

use the vertical line test. the horizontal line would intersect at two points.

Answer:

51 Yards

Step-by-step explanation:

Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem ([tex]A^{2}[/tex] + [tex]B^{2}[/tex] =[tex]C^{2}[/tex] ) to solve.

[tex]36^{2}[/tex]+[tex]36^{2}[/tex]= [tex]C^{2}[/tex]

1296+1296= 2592

√2592= 50.911

50.911 rounds up to 51

The length of each walkway would be,

⇒ 51 yards

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

A school has a square courtyard and wants to create diagonal walkways.

Here, The length of each side of the courtyard is 36 yards.

Now, The length of each walkway would be,

⇒ √ 36² + 36²

⇒ √ 1296 + 1296

⇒ √ 2592

⇒ 50.91

⇒ 51 yards

Thus, The length of each walkway would be,

⇒ 51 yards

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Answer:

18.4 cm

Step-by-step explanation:

Using Pythagoras rule:

Hypotenuse =

[tex] \sqrt{9 ^{2} + 16 ^{2} } [/tex]

= 18.4 cm

Answer:

7+(-3)[(14-4)/(-5)]+7

7+3[2]+7

7+6+7

20