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Burka [1]
3 years ago
8

Find m∠E to the nearest degree.

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0

Answer: The value of  m∠E = 37°

Step-by-step explanation:

Since we have given that

ED = 8

EF = 10

DF = 6

We need to find the measure of m∠E .

\sin E=\dfrac{DF}{EF}=\dfrac{opposite}{Adjacent}\\\\\sin E=\dfrac{6}{10}\\\\\sin E=\dfrac{3}{5}\\\\\sin E=0.6\\\\E=\sin^{-1}(0.6)\\\\E=36.86^\circ\\\\E=37^\circ

Hence, m∠E = 37°

Jobisdone [24]3 years ago
5 0
M<E = arcsin (opposite/hypotenuse)

m<E = arcsin (6/10)

Use the calculator:
m<E is estimated to be <span>37 degrees</span>
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What property is being used in the equation 3a+0=3a
Georgia [21]
The identity of zero
6 0
3 years ago
Movie tickets for an adult and three children cost $20. an adult's ticket costs $2 more than a child's ticket. find the cost of
valkas [14]
A- price of adult's ticket
c- price of children's ticket

a+3c=20
a=c+2
c=a-2

a+3(a-2)=20
a+3a-6=20
4a=26
a=6.5

The cost of an adult's ticket is $6.50
4 0
3 years ago
Systems of equations <br> 2x+2y=16<br> 2x+6y=28
Sholpan [36]
2x+2y=16
<span>2x+6y=28

all you have to do is subtract to get rid of the 2x and solve for y

2x+2y = 16
-2x-6y = -28
---------------------------
0 -4y = -12
y = 3

now we got y we can plug in or do the systems of equation again and find x.  lets do systems of equations again. 

</span>2x+2y=16
<span>2x+6y=28
</span><span>
this time i am going to multiple the top by -3  and then add the equations hopefully it is clear why I multiple by -3 
</span><span>
-3(2x+2y = 16)
2x +6y = 28 

-6x - 6y = -48
</span>2x +6y = 28 
------------------------
-4x + 0y = -20

x = 5 
4 0
4 years ago
Read 2 more answers
The figure has an area of 42 yd? Which equation can be
kobusy [5.1K]

Answer:

B. 14x = 42

Step-by-step explanation:

The figure is composed of a rectangle and a trapezium

(L*W) + [½(a + b)h] = Area of the figure

Where,

Area = 42

L = 2x

W = 3

a = 3 + 4 = 7

b = 9

h = x

Plug in the values

(2x*3) + [½(7 + 9)x] = 42

6x + [½(16x)] = 42

6x + 8x = 42

14x = 42

8 0
3 years ago
A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 in. What are
Lesechka [4]

Answer:

a) \frac{28}{\pi} in

b) 28 in

c) 784 in²

Step-by-step explanation:

Let the length be 'L'

and the radius be 'r'

Thus, according to the question

L + 2πr = 84 in

L = 84 - 2πr   ............(1)

Volume of the cylinder, V = πr²L

substituting the value of L from 1, we get

V =  πr²(84 - 2πr)

or

V = 84πr² - 2π²r³

for points of maxima, differentiating the above equation and equating it to zero

\frac{dV}{dr}=\frac{d(84\pi r^2-2\pi^2 r^3))}{dr}

or

2(84)πr - 3(2)π²r² = 0

or

2πr(84 - 3πr) = 0

or

r = 0    and    84 - 3πr = 0

or

⇒ 3πr = 84

or

⇒ r = \frac{28}{\pi} in

since, the radius cannot be zero therefore, r = 0 is neglected

Therefore,

a) The radius of the largest cylindrical package = \frac{28}{\pi} in

b) from  (2)

L = 84 - 2πr

or

⇒ L = 84 - 2\pi\times\frac{28}{\pi}

or

⇒ L = 84 - 56 = 28 in

The length of the largest cylindrical package = 28 in

c ) The volume of the largest cylindrical package ,V = πr²L

= \pi\times\frac{28}{\pi}\times28

= 784 in²

7 0
3 years ago
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