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taurus [48]
2 years ago
6

A:40 B:70 C:80 D:120 E:150

Mathematics
1 answer:
lara31 [8.8K]2 years ago
7 0

Answer:

E: 150

Step-by-step explanation:

Remember, a straight line is 180 degrees, and the total degrees in a triangle is 180. Also, the angle is clearly an obtuse angle, so just get rid of A, B, C, lol.

I think it would be more effective to show you this picture I made, but if you have any questions, I’ll try to answer them.

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The perimeter of the original rectangle is ______
sergey [27]

Answer:

  • perimter of original rectangle = <u>17. 6 mm</u>
  • side length of the enlarged rectangle = <u>23. 22 mm</u>
  • perimeter of the enlarged rectangle = <u>95. 04 mm</u>

Step-by-step explanation:

<u>PERIMETER</u><u> </u><u>OF</u><u> </u><u>ORIGINAL</u><u> </u><u>RECTANGLE</u>

  • Length of original rectangle = 4.5 mm
  • Width of original rectangle = 4.3 mm

<em>perimeter = 2 × ( length + width)</em>

= 2 × ( 4.5 + 4.3)

= 2 × 8.8

= 17. 6 mm

<u>SIDE</u><u> </u><u>LENGTH</u><u> </u><u>OF</u><u> </u><u>ENLARGED</u><u> </u><u>RECTANGLE</u>

  • Width of original rectangle = 4. 5 mm
  • Width of enlarged rectangle = 24.3 mm

Enlargement factor = 24.3 / 4.5

= 5.4

  • Length of original rectangle = 4.5 mm
  • Enlargement factor = 5.4

Side length of enlarged rectangle

= original length × Enlargement factor

= 4.3 × 5.4

= 23. 22 mm

<u>PERIMTER OF ENLARGED RECTANGLE</u>

= 2 × ( enlarged ength + enlarged breadth)

= 2 × (23. 22 + 24. 3 )

= 95. 04 mm

8 0
3 years ago
Can someone help me out with this?? It’s due soon...
Inessa05 [86]
1. 1.25

2. 0.85

3. 0.2

Hope this helped.
5 0
3 years ago
Find the average rate of change for the function f(x) =x^2 -6x+2 on the closed side interval (-5,2)
s344n2d4d5 [400]

Answer:

- 9

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [a, b ] = [ - 5, 2 ], thus

f(b) = f(2) = 2² - 6(2) + 2 = 4 - 12 + 2 = - 6

f(a) = f(- 5) = (- 5)² - 6(- 5) + 2 = 25 + 30 + 2 = 57 , thus

average rate of change = \frac{-6-57}{2-(-5)} = \frac{-63}{7} = - 9

6 0
3 years ago
Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise
Katarina [22]

After 4 interval of six months, Joe to earn same hourly rate as Blaine

<em><u>Solution:</u></em>

Given that,

Amount earned by Joe = $ 14 per hour

Amount earned by Blaine = $ 18 per hour

Lets assume the number of six month intervals be "x"

<em><u>Joe receives a raise of $1.75 every six months</u></em>

Therefore,

Joe earning: 14 + 1.75(number of six month intervals)

Equation for Joe earning: 14 + 1.75x ------- eqn 1

<em><u>Blaine receives a raise of $0.75 every six months</u></em>

Therefore,

Blaine earning: 18 + 0.75(number of six month intervals)

Equation for Blaine earning: 18 + 0.75x ------------ eqn 2

The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,

Eqn 1 must be equal to eqn 2

14+1.75x = 18+0.75x\\\\1.75x-0.75x = 18-14\\\\1x = 4\\\\x = 4

Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.

8 0
3 years ago
The waterfall trail is 3/4 mile long at 1/6 of the distance from the shore head there is a workout in Miles how far is the looko
Komok [63]
1/6 of 3/4 mile = 1/6 * 3/4 = 1/8 = 0.125 mile

The correct result would be 1/8 or 0.125 mile.
4 0
3 years ago
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