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Shkiper50 [21]
3 years ago
9

Please help me out with this

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

81.75 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h (a + b)

where a, b are the parallel bases and h is the perpendicular height

Calculate h using the right triangle and the sine ratio

sin30° = \frac{opposite }{hypotenuse} = \frac{h}{10}

Multiply both sides by 10

10 × sin30° = h, thus

h = 5

a = 12 and b = 8.7 + 12 = 20.7, hence

A = \frac{1}{2} × 5 × (12 + 20.7)

   = 0.5 × 5 ×32.7

   = 81.75 ft²

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Find the smallest value of ''P'' that makes the numbers perfect square.
Alinara [238K]

Answer:

2 i believe

Step-by-step explanation

you take a your square which has 4 sides to it, the take the number of the potential answers, divide each answer by 4. which ever answer comes out even and but also the smallest while being even is your answer. Makes sense?

1) 950/4=237.5, this is not even/a perfect square

2)1200/4=300, this comes to have 4 even sides of 300 making it a perfect square and being the smallest value

3)1500/4=375, also a perfect square but not the smallest value

4)1750/4=437.5, not a even number

5)10700/4, perfect square but no the smallest value

i believe this is correct

4 0
3 years ago
April and Amy are twin sisters. They have a total of 120 CDs. If Amy has twice as many CDs as April. How many CDs do they each h
gulaghasi [49]
120 = 2x + x
120 = 3x
120/3 = x
40=x <- Solved for how many cds april has.
Since amy has twice as many cds, she would have 80 cds
4 0
3 years ago
SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below
kvasek [131]

Answer:

The value of test statistics is 25.

Step-by-step explanation:

We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;

380, 520, 480, 510, 560, 630, 670, 490, 500, 550, 400, 350, 440, 490, 620, 660, 700, 730, 740, 560

<em>Let </em>\sigma<em> = population standard of the reading and writing section SAT score of the students in this school</em>

So, Null Hypothesis, H_0 : \sigma \leq 100     {means that the reading and writing section SAT score of the students in this school is lesser than or equal to 100}

Alternate Hypothesis, H_A : \sigma<em> </em>> 100     {means that the reading and writing section SAT score of the students in this school is higher than 100}

The test statistics that would be used here is <u>One-sample Chi-square</u> test statistics;

                        T.S. =  \frac{(n-1)s^{2} }{\sigma^{2} }  ~ \chi^{2} __n_-_1

where, s^{2} = sample variance =  \frac{\sum (X-\bar X)^{2} }{n-1}  = 13135.8

            n = sample of 11th-grade students = 20

So, <u><em>the test statistics</em></u>  =  \frac{(20-1)\times 13135.8^{2} }{100^{2} }

                                     =  24.96 ≈ 25

Hence, the value of test statistics is 25.

5 0
3 years ago
have you baseball card collection got what animals ruined you bought 11 cards to replace some that were lost how many did you be
UkoKoshka [18]
24 (you new amount) - 11 (new cards) = 13 cards to begin with
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3 years ago
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Talja [164]
The answer is A,C,D

I checked and that is the correct answers. 
8 0
3 years ago
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