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3 years ago

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Write the exact value of the side length, in units, of a square whose area in square units is 37

1 answer:

Anna35 [415]3 years ago

8 0

Step-by-step explanation:

<h3><u>Given</u><u> </u><u>Information</u><u> </u><u>:</u></h3>

Area of the square = 37 units²

<h3><u>To </u><u>calculate</u><u> </u><u>:</u></h3>

Side

<h3><u>Calculation </u><u>:</u></h3>

★ Area of square = (Side)²

<em>Substitute</em><em> </em><em>the </em><em>values</em><em> </em><em>we </em><em>have</em>.

→ 37 cm² = (Side)²

→ √(37 cm²) = Side

→ 6.08276253 cm = Side

$\rule{200}2$

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Take a factor out of the square root:

Andrews [41]

Answer:

1. |y| sqrt(10)

2. |x| sqrt(x)

3. a^2 sqrt(a)

4. 4 |y|^3 sqrt(3)

5. 1/4 *|x| sqrt(3x)

Step-by-step explanation:

1. sqrt(10y^2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(y^2) sqrt(10)

|y| sqrt(10)

We take the absolute value of y because -y*-y = y^2 and the principle square root is y

2. sqrt(x^3)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(x^2) sqrt(x)

|x| sqrt(x)

3. sqrt(a^5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(a^4) sqrt(a)

a^2 sqrt(a)

4. sqrt(16 y^7)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(y^6)sqrt(y)

4 |y|^3 sqrt(3)

5. sqrt(3/16x^3)

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3 0

3 years ago

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slega [8]

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5 0

3 years ago

You have $14 and earn $0.75 for each cup of orange juice you sell. Write an equation in two variables that represents the total

jonny [76]

This would follow the $y = mx + b$ format
where m would be the price per cup
and b would be the money you start off with
y = A
and x = j

so we get
A = 0.75j + 14
as your answer

7 0

4 years ago

Hello hello :))) please help me with this problem

Vsevolod [243]

Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3

Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
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8 0

2 years ago

suppose a sample of 1305 tenth graders is drawn. Of the students sampled, 1044 read above the eighth grade level. Using the data

Inessa05 [86]

Answer: $(0.771,\ 0.829)$

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Sample size : n=1305

The proportion of tenth graders read above the eighth grade level. = $p=\dfrac{1044}{1305}=0.8$

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.8\pm(2.576)\sqrt{\dfrac{0.8(1-0.8)}{1305}}\\\\\approx0.8\pm0.029\\\\=(0.771,\ 0.829)$

Hence, the 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.771,0.829) .

4 0

3 years ago