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3 years ago

13

Geometry math question no Guessing Please help

1 answer:

Norma-Jean [14]3 years ago

7 0

Triangle on the right is 45 45 90 right triangle

Ratio of leg : hypo = a :a√2

Given hypo = 6 so leg = 3√2

As you know leg of triangle on the right is the hypo of the triangle on the left

Triangle on the left is 30 60 90 right triangle

Ratio of short leg :hypo = a : 2a

You know hypo = 3√2 so leg x = (3√2 ) / 2 = 3√2 / 2

Answer is A. 3√2 / 2

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Marci needs to rent a storage unit. She needs to determine the volume of the storage unit to decide if the storage unit is big e

stealth61 [152]

Answer:

$Volume = 176ft^3$

Step-by-step explanation:

Given

$Height = 8$

See attachment for base dimension

Required

Determine the volume of the storage unit

From the attachment, we can split the base dimension into two rectangles.

CDEF and ABCG

And the dimensions are:

<u>CDEF</u>

$EF = CD = BD - BC = 5 - 2 = 3$

$ED = FC = FG +AB = 4 + 2 =6$

So, the area of CDEF is:

$Area = EF * ED$

$Area = 3 * 6$

$Area = 18$

<u>ABCG</u>

<u></u> $AB= GC = 2$ <u></u>

<u></u> $AG = BC = 2$ <u></u>

<u></u>

<u></u> $Area = AB * AG$ <u></u>

$Area = 2 * 2$

$Area = 4$

So, the base area is:

$Base\ Area = 18 + 4$

$Base\ Area = 22$

The volume is then calculated as:

$Volume = Base\ Area * Height$

$Volume = 22 * 8$

$Volume = 176$

7 0

2 years ago

How many milliliters are in 30 liters? <br><br> 300<br> 3,000<br> 30,000<br> 300,000

Alborosie

Answer:

30000 Milliliters

Step-by-step explanation:

multiply the volume value by 1000

30 x 1000 = 30000

Brainliest if this was helpful. Thanks!

3 0

3 years ago

What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

$\alpha =\bar y-\beta \bar x$

Here<em> </em> $\bar y$ and $\bar x$ are mean of the <em>y</em> and <em>x</em> values respectively.

$\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}$

The formula to compute the slope is:

$\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}$

And the formula to compute the error is:

$e=y-\alpha -\beta x$

<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

$(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)$

Here <em>r</em> = correlation coefficient = $r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }$

$\sigma_{x}$ and $\sigma_{y}$ are standard deviation of <em>x</em> and <em>y</em> respectively.

$\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}$

3 0

3 years ago

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 p

Aleks [24]

Answer:

11000 JY.

Step-by-step explanation:

According to today's exchange rate

1 US dollar = 110 JY

100 US dollars = 100 * 110 JY

You should get 11000 JY.

Pick the answer that is closest to this exchange rate.

8 0

2 years ago

The distance between Taylor’s house and her school is 300,000 centimeters.

Sergio [31]

Answer:

30 km

Step-by-step explanation:

1 kilometer = 100 meters.

1 meter = 100 cm

therefore, 1 km = 10,000

and then, 300000 cm is 30 km

7 0

3 years ago