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vredina [299]
3 years ago
6

11. Square ABCD shown has sides of length 10 centimeters. The unshaded

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

21cm^2

Step-by-step explanation:

Area of Square-Area of semi circles (makes one full circle)

Squares Area = 100

LxW or (10x10)=100

Circle Area = 25/pi

/pi (radius)^2 or /pi(5)^2 = 25/pi

100cm^2-25cm^2 = 21.4601…cm^2 rounded to 21.5 cm^2

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Find the distance between the two points~<br>A ( 7 , 4 ) and B ( 3 , 2 )<br><br><br>thankyou!​
vodka [1.7K]

Answer:

AB = \sqrt{20}

Step-by-step explanation:

calculate the distance using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )

AB = \sqrt{(7-3)^2+(4-2)^2}

     = \sqrt{4^2+2^2}

     = \sqrt{16+4}

     = \sqrt{20}

     ≈ 4.47 ( to 2 dec. places )

6 0
2 years ago
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In a laboratory, scientist are performing chemical reactions.the amount of product formed by a reaction can be determined by equ
galina1969 [7]

Answer:

  0.25

Step-by-step explanation:

The only constant in the equation is called the "constant of proportionality." Its value is 0.25.

The constant of proportionality is 0.25.

____

In an equation of the form ...

  y = kx

the constant k is called the <em>constant of proportionality</em>. It's a vocabulary (naming) question.

3 0
4 years ago
Please help im so bad at this!!
vova2212 [387]

Answer:

x = 51.05 feet

Step-by-step explanation:

Sin(0)=opposite side/Hypotenuse

Sin(45)=x/60

4 0
3 years ago
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A local marketing company wants to estimate the proportion of consumers in the Oconee County area who would react favorably to a
Burka [1]

Answer:

C. n=423

Step-by-step explanation:

1) Notation and important concepts

Margin of error for a proportion is defined as "percentage points your results will differ from the real population value"

Confidence=90%=0.9

\alpha=1-0.9=0.1 represent the significance level defined as "a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant".

\hat p=0.5 represent the sample proportion of consumers in the Oconee County area who would react favorably to a marketing campaig. For this case since we don't have enough info we use the value of 0.5 since is equiprobable the event analyzed.

z_{\alpha/2} represent a quantile of the normal standard distribution that accumulates {\alpha/2} on each tail of the distribution.

2) Formulas and solution for the problem

For this case the margin of error for a proportion is given by this formula

ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}   (1)

For this case the confidence level is 90% or 0.9 so then the significance would be

\alpha=1-0.9=0.1 and \alpha/2=0.05

With \alpha/2=0.05, we can find the value for z_{\alpha/2} using the normal standard distribution table or excel.

The calculated value is z_{\alpha/2}=1.644854

Now from equation (1) we need to solve for n in order to answer the question.

\frac{ME}{z_{\alpha/2}}=\sqrt{\frac{\hat p(1-\hat p)}{n}}  

Squaring both sides:

(\frac{ME}{z_{\alpha/2}})^2=\frac{\hat p(1-\hat p)}{n}

And solving for n we got:

n=\frac{\hat p(1-\hat p)}{(\frac{ME}{z_{\alpha/2}})^2}

Now we can replpace the values

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.644854})^2}=422.739

And rounded up to the nearest integer we got:

n=423

3 0
3 years ago
How many sides does a parallelogram have?<br> OA) 2<br> OB) 4<br><br> OD 6
KonstantinChe [14]

Answer:

OB: 4 sides

Step-by-step explanation:

A parallelogram has 4 sides. It is a flat shape with opposite sides parallel and equal in length. Opposite angles are equal.

In the picture below, angles "a" are the same, and angles "b" are the same.

In the case of a parallelogram where all angles are right angles, is a rectangle.

4 0
3 years ago
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