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3 years ago

Can anybody help me solve for surface area? (Formula=add all the areas of the faces)

Mathematics

1 answer:

TiliK225 [7]3 years ago

6 0

Answer:

230.3cm^2

Step-by-step explanation:

surface area: sum of all faces

base: 12 x 2.5 = 30cm^2

back: 84 cm ^2

cross section x 2 = 7 x 2.5 = 17.5

use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4

so, area of slope : 7.4 x 12 = 88.8cm^2

sum of all areas: 114 + 106.3 = 230.3

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Find point P that divides segments AB into a 2:3 ratio.

nasty-shy [4]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
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P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5} \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5} \right)$

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3 years ago

Martina spent a total of $15 at the grocery store. Of this amount, she spent $12 on fruit. What percentage of the total did she

ludmilkaskok [199]

Answer:

80%

Step-by-step explanation:

5 0

3 years ago

How do you do applications of systems

daser333 [38]

The application system is like a test!
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3 years ago

Tim has a box of 15Markers he gives three markers to four friends What exppresion can show the number of marker tim has left

Elodia [21]

Answer:

15 - 3 (expression)

15 - 3 = x (equation)

Step-by-step explanation:

7 0

3 years ago

a line goes through the point(6,-2)and has a slope of -3 what is the value of a if the point (a,7) lies on the line

yaroslaw [1]

Answer:

The value of a is "3", to complete the coordinate point (3,7) on the line.

Step-by-step explanation:

We are given the slope of the line, and also one point through which the line passes. Therefore, we can find the actual equation of the line by using the slope-point form of the line:

$y-y_0=m(x-x_0)\\y-(-2)=(-3)(x-6)\\y+2=-3x+18\\y=-3x+18-2\\y=-3x+16$

Now, we need to find which value of "x" renders a y-value of "7", to complete the coordinate pair (a, 7) as requested. Therefore, we ask for the y-value in the previous equation to be "7", and solve for its associated x-value:

$y=-3x+16\\7=-3x+16\\7-16=-3x\\-9=-3x\\x=\frac{-9}{-3} \\x=3$

Therefore, x = 3

3 0

3 years ago

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