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Sonja [21]
3 years ago
7

6. Find the total surface area of the cone in the figure. (Use

Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0

Answer:

hi

use pie r ( l + r )

Step-by-step explanation:

hipe this may help you

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A plane flies due south for 600 miles. It turns and flies 250 miles ,35 degrees east of south. How far is the plane from it’s or
Mariulka [41]

The distance of plane from the origin is 357.14 miles

<u>Explanation:</u>

Given:

distance traveled southwards, y = 600 miles

Distance traveled east of south, z = 250 miles

Angle, θ = 35°

Distance of plane from the origin, x = ?

The figure is attached for reference:

tan θ = Perpendicular / base

tan θ = distance travelled east of south / x

tan 35° = 250 / x

we know,

tan 35° = 0.7

So,

0.7 = \frac{250}{x} \\\\x = \frac{250}{0.7} \\\\x = 357.14 miles

Therefore, the distance of plane from the origin is 357.14 miles

6 0
3 years ago
Brianna and Chloe go to the movie theater and purchase refreshments for their friends.
steposvetlana [31]

Answer:

3 m + 4  n = $24.25

9 m +   n = $37.00  are the required set of equations.

The cost of 1 cold drink  = $3.75

The cost of 1 pop corn bag  = $3.25

Step-by-step explanation:

Let us assume the cost of 1 drink = $ m

And the cost of 1 bag of popcorn = $ n

Now, Brianna buys 3 drinks + 4 bag popcorn  for  $24.25

⇒ Cost of 3 drinks +  4 bag popcorn =  $ 24.25

or, 3 ( Cost of 1 drink) + 4 ( Cost of i bag popcorn)  = $ 24.25

⇒ 3 m + 4  n = $24.25  ...  (1)

Also, Chloe buys 9 drinks + 1 bag popcorn  for  $37.00

⇒ Cost of 9 drinks +  1 bag popcorn =  $37.00

or, 9 ( Cost of 1 drink) + 1 ( Cost of 1 bag popcorn)  = $37.00

⇒ 9 m +   n = $37.00 ...  (2)

Now, solving equation (1) and (2) ,we get:

3 m + 4  n = $24.25

9 m +   n = $37.00   ⇒ n  = 37 -  9 m

Substitute the value of n in the equation (1),we get:

3 m + 4  n = $24.25  ⇒ 3  m + 4 ( 37 - 9 m ) = 24.25

or, 3 m + 148 - 36 m = 24.25

or, -33 m = -123.75

or, m = 123.75/33 =  3.75, or m = 3.75

Now, n = 37 - 9 m = 37  - 9(3.75)  =  3.25, or n = 3.25

Hence the cost of 1 cold drink =  m = $3.75

And the cost of 1 pop corn bag  =  n  = $3.25

3 0
3 years ago
Darren is on a super effective diet. He has lost 16% of his weight this month. If he started with 75 kg, how much does he weigh
Papessa [141]
16/100=0.16
0.16*75=12
75-12=63
5 0
3 years ago
Read 2 more answers
How do you factor 6x^2+x+2
Svetradugi [14.3K]

Answer:

6x^{2}  +x + 2 cannot be factored

Step-by-step explanation:

The equation cannot be simplified so you have to use the quadratic formula

and you will get imaginary numbers from the formula

7 0
3 years ago
What three that are equivalent to 4:3.
stich3 [128]
Three that are equivalent are 12:9 8:6 28:21
5 0
3 years ago
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