A communications company is building a 30-foot antenna to carry cell phone transmissions. As shown in the diagram
below, a 50-foot wire from the top of the antenna to the ground is used to stabilize the antenna.
Find, to the nearest degree, the measure of the angle that the wire makes with the ground.

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

Answer:

x≥0

Step-by-step explanation:

the domain is anything above 0

The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.

As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,

Mathematically,

x ∈ [0, 10] or

0 ≤ x ≤ 10

Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

Learn more about the function here:

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Answer:

angle is 1°

Step-by-step explanation:

[tex] \cos(u \: v \: ) = \frac{u \times v}{ |u| \times |v| } [/tex]

Answer:  

Lu needs to move the right 3 units and up 5 units.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are given the triangle  ABC  and told to find ∠A, ∠B, and side b.  Also we are told that side c= 54 .  side a=64 and ∠C = 32°

we need law of sines    a / sin A =  b / sin B =  c / sin C

let's use law of sines to find the other angles

64 / sin A = 54 / sin(32)

I'm just going to swap the fractions on both sides , just to make it easier

sin A / 64 = sin(32) / 54

∠A = arcSin(64 * sin(32) / 54)

∠A = 38.9066°

∠B + ∠A + ∠C = 180

∠B = 180 - 32 - 38.9066

∠B  = 109.0934°

let's find side b now

sin B / b = sin(32) / 54

sin(109.0934°) / b = sin(32) / 54

54 * sin(109.0934°) /  sin(32) = b

96.2963 = b

Answer:

the mid point is 6,3

Step-by-step explanation:

the mid point is 6,3

Step-by-step explanation:

so fill in 88 where the x is so

y = 0.9 (88) - 1

y = 78.2

An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,

Number of cups of coffee = Total bill amount / Cost of a coffee

Number of cups of coffee = $22.50 / $2..50

Number of cups of coffee = 9

A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,

Total bill amount = Cost of a coffee × Number of cups of coffee

y = 2.50 × x

y = 2.50x

B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.

Learn more about Equation here:

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Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

Answer:

Step-by-step explanation:3x + 2x =5x

you just know

Step-by-step explanation:

Find the scale factor of the two triangles

Answer:

there still parallel even if they rotated

Answer:

35 % of 65 is 22.75 %

Step-by-step explanation:

35/100 = 0.35

0.35 x 65 = 22.75

therefore 35% of 65 is 22.75%

Answer:

2.5 times 60 equals 150. 150-78 equals 72. So the answer is 72.

Step-by-step explanation:

Hope this helps.

Answer:

C 290 in^2

Step-by-step explanation:

Answer:

82 points

Step-by-step explanation:

Take 22 and add 20 back to it, and then multiply it by four which gives you 102. You then would subtract 20 and get 82.

Answer:

7 2/5 cups

Step-by-step explanation:

4 x 9 = 36

36/5 = 7.2

9514 1404 393

Answer:

  (a)  (2x +36)° +(3x +14)° = 90°

  (b)  ∠C = 38°; ∠D = 52°; ∠E = 90°

Step-by-step explanation:

(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.

  (2x +36)° +(3x +14)° = 90°

__

(b) We can collect terms, subtract 50 and ...

  5x +50 = 90 . . . . . . . collect terms, divide by °

  5x = 40 . . . . . . . . . . subtract 50

  x = 8 . . . . . . . . . .. divide by 5

∠C = (3x +14)° = (3·8 +14)° = 38°

∠D = (2x +36)° = (2·8 +36)° = 52°

∠E = 90°

_____

Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

Answer:

A = x^2 - x + xy - y

P = 4x + 2y - 2

Step-by-step explanation:

[tex]a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2[/tex]

I hope that is useful for you :)

Answer:

Step-by-step explanation:

y = 2x - 1

x = 6

y = 3*6 - 1

y = 18 - 1

y = 17

(6,17)

Answer:

Pretty sure it's the first 3 options.

Step-by-step explanation:

Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!

China and USA have highest/lowest density. You can tell by looking at the chart.

Indias density is about 360 people/km^2

Divide India's population by the Area

=  360.22

And the last option, according to me, is wrong.

Hope it helps !! And if it doesnt, again, pls let me know :)

Answer:

126 degree

Step-by-step explanation:

use alternate angles and linear pair

Answer:

6ft²

Step-by-step explanation:

A= LxW

A= 3x2= 6

A= 6ft²

Answer:

6ft

Step-by-step explanation:

Area of Missing Rectangle:

height*base

==> 2*3

==> 6 ft^2

Answer:

x > -3

Step-by-step explanation:

-3x + 6 < 15

-3x < 15 - 6

-3x < 9

-x < 3

x > -3

A. x > -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

−3x + 6 − 6 < 15 − 6

−3x < 9

Step 2: Divide both sides by -3.

−3x/−3 < 9/−3

x > −3