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natita [175]
3 years ago
5

What is the area of this trapezoid? Please find the answer and equation.

Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

A=a+b

2h=20+8

2·20.4≈285.6

Step-by-step explanation:

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Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie
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Answer:

27.5 pages read per hour

Step-by-step explanation:

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Order the set of numbers from least to greatest<br><br>3/5, 3/10, 2/7, 1/4
Mkey [24]
3/10 2/7 1/4 3/5 that is least to greatest
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Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1
Nutka1998 [239]
<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

  • When <em>decrease</em>: (1 - p)m
  • When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

68+7=75

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0
3 years ago
Please help!!! i'll give brainliest and offering 20 pts each!!!
Aleks04 [339]

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0
2 years ago
Someone find area and perimeter of this shape! Thanjs
Gemiola [76]
The area would be 132cm^2 (squared)
(9x4)x2+(7+8)x4 =132

The perimeter you just add everything up so it’s 65cm
15+13+4+7+9+4+13
6 0
3 years ago
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