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arsen [322]
3 years ago
10

Can someone please help me with this

Mathematics
1 answer:
Archy [21]3 years ago
4 0

Step-by-step explanation:

By Exterior Angle theorem,

(5y + 3)° + (4y + 8)° = 146°

=> 9y + 11 = 146

=> y = 15.

Hence Angle ABC = (4y + 8) = [4(15) + 8]° = 68°.

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I need help with these quadratic applications.<br>​
Kitty [74]

Answer:

1. d

2. c

Step-by-step explanation:

1. "You have a 12in by 14in picture you framed.  When you hung the picture, you found that the area is 261.44 square inches.  What is the width of the frame?"

If we call the width of the frame x, then the total width is w = 12 + 2x, and the total height is 14 + 2x.  Area is width times height, so:

A = wh

261.44 = (12 + 2x) (14 + 2x)

Distribute using FOIL (first outer inner last):

261.44 = 12×14 + 12×2x + 2x×14 + 2x×2x

261.44 = 168 + 24x + 28x + 4x²

261.44 = 168 + 52x + 4x²

0 = 4x² + 52x − 93.44

0 = x² + 13x − 23.36

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -13 ± √(169 + 93.44) ] / 2

x = (-13 ± 16.2) / 2

x = 1.6 or -14.6

Since x must be positive, x = 1.6 inches.

2. "A flower garden has been design with an L shaped walkway and viewing area around two sides as shown.  The garden itself is 5 yards by 8 yards.  The total area needed to build this landscape design is 60.9525 square yards.  What is the width of the walkway?"

If we call the width of the walkway x, then the total width is w = 5 + x and the total length is l = 8 + x.  Area is width times length, so:

A = wl

60.9525 = (5 + x) (8 + x)

Distribute using FOIL (first outer inner last):

60.9525 = 5×8 + 5×x + x×8 + x×x

60.9525 = 40 + 5x + 8x + x²

60.9525 = 40 + 13x + x²

0 = x² + 13x − 20.9525

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -13 ± √(169 + 83.81) ] / 2

x = (-13 ± 15.9) / 2

x = 1.45 or -14.45

Since x must be positive, x = 1.45 yards.

6 0
3 years ago
Read 2 more answers
Help me please<br> 3x+12=?
Ad libitum [116K]

Answer:

<h2>3x+12=0</h2><h2>3x=0-12</h2><h2>x=-12/3</h2><h2>hence x=(-4)</h2><h3>✌️✌️ HOPE IT HELPS</h3>
6 0
2 years ago
Read 2 more answers
Consider this expression: 4(5x - 7y). Enter an expression that shows the difference of exactly two terms that is equivalent to 4
Eddi Din [679]

Answer:

First you do what is inside the parentheses. 10 x 5 - 3. 50 - 3 =47. Then you multiply 47 x 5 = 235.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
the ratio of horses to chickens on a farm is 9:4. If there are a total of 169 animals, how many chickens are on the farm?
Evgesh-ka [11]

Answer:

<h2> 52 chickens</h2>

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

There are 52 chickens

6 0
2 years ago
What is 7 divided by 50
Anastaziya [24]

Answer:

<u><em>0.14</em></u>


<u><em>Hope this helps :-)</em></u>


8 0
3 years ago
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