All categories

1 year ago

Surface area of a cube length: 10ft width: 7.5ft height: 12ft

Mathematics

2 answers:

Free_Kalibri [48]1 year ago

7 0

Answer:

$\large{\boxed{\bold{570 \ ft^2}}$

Explanation:

Surface_Area_Cube: 2(Length x Width + Height x Length + Height x Width)

<h3 /><h3><u>Given sides</u>:</h3>

length: 10ft

width: 7.5ft

height: 12ft

<h3><u>Surface Area</u>:</h3>

2(10 x 7.5 + 12 x 10 + 12 x 7.5)

2(75 + 120 + 90)

2(285)

570 ft²

netineya [11]1 year ago

4 0

Answer:

see photo for detailed analysis

Step-by-step explanation:

You might be interested in

WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

5 0

2 years ago

Please help me with this

Tatiana [17]

<h2><u>Given</u> :</h2>

The given equations are :

$\longrightarrow15b + 10g = 8640 \: \: \: \: \: - (1)$

$\longrightarrow b + g = 708 \: \: \: \: \: \: - (2)$

Let's solve for g in equation (2) :

$\longrightarrow b + g = 708$

$\longrightarrow g = 708 - b \: \: \: \: \: - (3)$

now, let's plug value of g from equation (3) into equation (1) :

$\longrightarrow15b + 10g = 8640$

$\longrightarrow15b + 10(708 - b) = 8640$

$\longrightarrow15b - 10b + 7080 = 8640$

$\longrightarrow5b = 1560$

$\longrightarrow b = 312$

plugging value of b in equation (3) :

$\longrightarrow g = 708 - b$

$\longrightarrow g = 708 - 312$

$\longrightarrow g =39 6$

since " g " represents ground seats, number of ground seats :

=》396

And " b " represents balcony seat, therefore it is equal to :

=》312

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

4 0

3 years ago

1. Does the table below show a proportional relationship? If so, what is the value of y when

ikadub [295]

It’s 55 because lil baby is Galatea

8 0

3 years ago

Find the missing length indicated.

Andrews [41]

Answer:

Step-by-step explanation:

h²=65²-25²=4225-625=3600

h²=x*25

x=h²:25

x=3600:25

8 0

3 years ago

If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool

anyanavicka [17]

<h3>Answer: 5/14 gallons</h3>

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

8 0

3 years ago