please help. sad moment.

Answer: A: 21.4

Step-by-step explanation:

For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.

[tex]\thn \theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.

The height of the pole is 60 foot. Therefore,

[tex]AC=60\rm ft[/tex]

The distance of the wire from the base of the pole is 40 feet. Therefore,

[tex]BC=40\rm ft[/tex]

Therefore, the tangent angle can be given as,

[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]

The angle DBC is half of the angle ABC. Thus,

[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]

Now, again in the triangle DBC, the tangent angle can be given as,

[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]

Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

Answer:

82

Step-by-step explanation:

Since the sum of the two digits is 10, there are some pairs, such as 46, 64, 28, 82, 55,37, 73. And flip them around and see if the difference between the two numbers is 54. So one example is 82-28=54, so that is the answer. It can't be 28 or 46 because it said less than. I am not good at explaining, but I hope you guys understand. Thank you :D

Answer:

when x=30, y = -21

Step-by-step explanation:

x = k/y

x = 42 y = -15

x = k/y

42 = k/-15

Cross product

42 * -15 = k

-630 = k

k = - 630

Find y when x=30

x = k/y

30 = -630/y

Cross product

30 * y = - 630

30y = - 630

y = - 630/30

y = -21

when x=30, y = -21

Answer: c

Step-by-step explanation:

Edge 2021

Answer:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

Answer:

x = 0,5

Step-by-step explanation:

Factor and set each factor equal to 0.

Answer:

125

Step-by-step explanation:

all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125

im pretty sure thats correct i hope this helps!

Answer:

a) (tri)ABC ~ (tri)CDE

b) AA

Step-by-step explanation:

a) Given in the question (the triangles are similar)

b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.

9514 1404 393

Answer:

  a) {-6, 2}

  b) -12

  c) minimum: -16

Step-by-step explanation:

I find a graphing calculator to be a big help. Its graph is attached.

__

a) The function can be factored as ...

  f(x) = (x -2)(x +6)

The factors are zero at the x-intercepts: x = 2, x = -6.

__

b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.

__

c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...

  f(-2) = (-2-2)(-2+6) = -4(4) = -16

The minimum is f(-2) = -16.

Answer:

I took the test.

A (6, -2)

b (-12)

c  Minimum -16

Step-by-step explanation:

Answer:

Step-by-step explanation:

9-3(2-5x)

9-6+15x

3+15x

Answer:

C

Step-by-step explanation:

9-3(2-5x)

9-6+15x=

3+15x

Answer:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠EAD = ∠CAB = 53°

By Side-angle-side, △EAD is congruent to △CAB

∠E = 96°

∠D = 180-96-53 = 31°

x = 31°

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

Diagonal² = 17² + 12.75²

                = 289 +162.5625

               = 451.5625

Diagonal = √451.5625

              = 21.25

Answer:

The answer is 21.25

Step-by-step explanation:

Answer:

A:

i) ∠ABC is an inscribed angle

ii) ∠ATC is a central angle

B: ∠ABC = 150/2 = 75°

C: ∠ATC = 150°

Answer:

79

Step-by-step explanation:

x2 + 11x + 1,

first step substituion

6(2) + 11(6)+ 1

multiply

12+66+1

add like terms

79

Answer:

103

Step-by-step explanation:

Answer:

tan G = 1.6071

Step-by-step explanation:

tan G = 45/28

tan G = 1.6071

Answer:

ugh wdym like 10 20 ,30 40 and so on ....

Answer10 20 30 40 50 60 70 80 90 100 110 120

Step-by-step explanation:

10x1=10

10x2=20

10x3=30

10x4=40

10x5=50

10x6=60

10x7=70

10x8=80

10x9=90

10x10=100

10x11=110

10x12=120

Answer:

1) A = 48 sq units  2) 42 sq units

Step-by-step explanation:

The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.

So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.

For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.

This is how you find the areas of the trapezoids!

Answer:

c.40

Step-by-step explanation:

........................

I have a trick for parallelograms and the formula is...[tex]\frac{b*h}{2}[/tex]

Yes the rectangle formula also wrks for parallelograms!!! You just gotta chop one end up and stick it on the other side!

So it is 5*8/2=20

Answer:

x=2

Step-by-step explanation:

27-13=14

14÷7=2

therefore x is equal to 2

Answer:

6

Step-by-step explanation:

when you divide fractions you can "flip" the second fractions and multiply instead.

So you can do:

3/4 * 8/1 which equals 24/4 which simplifies to 6

Answer:

The answer is 6.

Step-by-step explanation:

If you have to do division with 2 different fractions you have to make them have equal denominators. The way you do this is that you multiply 4 x 2 in order to make the denominator of 3/4 turn into 8 and since the rule is whatever you do to the bottom you have to do to the top 3/4 turns into 6/8 because you multiply 3 x 2. Then you see how many times you can put 1/8 into 6/8. The answer for this is 6. Afterwards in order to make sure your answer is correct you do 1/8 x 6/1, (6). Since 1/8 x 6 is 6/8, your answer is correct.

Answer:

B. 11

Step-by-step explanation:

Delta y over delta x

(8-2)/(k-1) = 3/5

6/(k-1) =3/5

6 = 3/5k - 3/5

6 3/5 = 3/5k

K = 11

Answer:

Option B, False

Step-by-step explanation:

Step 1:  Get the surface area formulas for both shapes

Surface Area Formula for Cone:  [tex]A = \pi * r(r + \sqrt{h^{2} + r^{2}})[/tex]

Surface Area Formula for Cylinder:  [tex]A = 2\pi rh+2\pi r^{2}[/tex]

Step 2:  Plug in the values and solve

Cone:  [tex]A = \pi * r(r + \sqrt{(3r)^{2} + r^{2}})[/tex]

Cone:  [tex]A = \pi r^{2} + \pi \sqrt{10}r^{2}[/tex]

Cylinder:  [tex]A = 2\pi r*r+2\pi r^{2}[/tex]

Cylinder:  [tex]A=4 \pi r^{2}[/tex]

Step 3:  Compare

[tex]\pi r^{2} + \pi \sqrt{10}r^{2}\neq 4 \pi r^{2}[/tex]

They are not equal, therefore the answer is False.

Answer:  Option B, False

Answer:

ok so i just took this on a p 3 x and its true i have a screenshot . i got the question wrong it's definitely true .

Step-by-step explanation:

Answer:

The answer is 50.

Hope this helps. sry if it is wrong