Calculate the value of each expression?.
Can someone help me please fast??​

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:

x = 0,5

Step-by-step explanation:

Factor and set each factor equal to 0.

Answer:

The answer is $22.77.

Step-by-step explanation:

15%=$2.97

7% tax= $1.30

18.50+1.30=19.80

2.97+19.80=22.77

Total: $22.77

Answer:

19 days and 17 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

The rent of the bicycle comes with a charge of:

Initial deposit = AED 80

cost per hour = AED 22

If Majid pays AED 146, then;

AED 146 - AED 80 = AED 66

Given that the charge per hour is AED 22, then to determine the number of hours that Majid can ride;

number of hours = [tex]\frac{AED 66}{AED 22}[/tex]

                            = 3

Majid would be able to ride the bicycle for 3 hours when he pays AED 146.

Answer:

tan G = 1.6071

Step-by-step explanation:

tan G = 45/28

tan G = 1.6071

Answer: c

Step-by-step explanation:

Edge 2021

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: the answer is 8 and 3

Step-by-step explanation:

factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.

I hope this helps ! good luck

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:

2) m∡1 = 100°

3) m∡2 = 40°

4) TD

5) m∡1 = 67°

Step-by-step explanation:

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:

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:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

Answer:

100 increased by 99% is 199

Answer: 199

Step-by-step explanation: i asked siri

Answer:

Consisting of billions of galaxies

Step-by-step explanation:

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:

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:

Step-by-step explanation:

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:

x=2

Step-by-step explanation:

27-13=14

14÷7=2

therefore x is equal to 2

Answer:

The answer is 50.

Hope this helps. sry if it is wrong