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Natali5045456 [20]
3 years ago
5

a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find

the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work !

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
Cbd= weed that’s the final answer
SpyIntel [72]3 years ago
5 0

Answer:

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

Step-by-step explanation:

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What is y greater then or equal to 2x on a graph
Juliette [100K]

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e.          y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e.      x+y ≥ 45  ------------(2)    

and    x is less than or equal to 30.    

i.e.               x ≤ 30 -----------(3)    

On plotting these inequalities we get the boundary points as:

        (15,30) , (30,60) and (30,15)    

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

 Minimize  P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

 P= 1560

at (30,15) we get:

P= 840

This  means that the minimal value of the function is 780

and the value exist at (15,30)

5 0
3 years ago
Solve the system.<br> x + y - z = 17<br> y +z = 1<br> z = -3
Anna35 [415]

Answer:

(10, 4, -3)

Step-by-step explanation:

z = -3

y + z = 1

y - 3 = 1

y = 4

x + y - z = 17

x + 4 - -3 = 17

x + 4 + 3 = 17

x + 7 = 17

x = 10

(10, 4, -3)

3 0
3 years ago
Read 2 more answers
Prism with a length of 2 yd, a widht of 4 yd , and a height of 5yd​
lorasvet [3.4K]

Answer:

40 yd

Step-by-step explanation:

Rectangular prism formula:

A = lwh

A = (2)(4)(5)

A = 40

7 0
3 years ago
What is 6/13 rounded to the nearest half?
prohojiy [21]
6/13, when turned into a decimal, is equal to 0.4615384615... And so on. That decimal can be rounded to the nearest hundredth to become 0.46.

Is 0.46 closer to 0.5, or 0? When put on a number line, we can see how close it is to 0.5, which is the same as 1/2.

6/13, rounded to the nearest half, is 1/2.
Hope this helped =)
6 0
3 years ago
Read 2 more answers
Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
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