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V125BC [204]
3 years ago
6

Find the area VALUE of each figure below with the following measurements

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

the answer is 180cm for the rectangle

the answer is 126cm for the triangle.

the answer is 880ml for the rectangle.

Step-by-step explanation:

first diagram (rectangle)

area=l×b

15×12

180cm

second diagram(triangle)

area =

\frac{1}{2}  \times l \times b \\  \frac{1}{2}  \times 14 \times 18 \\  = 7 \times 18 \\ 126cm

third diagram( rectangle)

area=

l \times b \\  \\ 44 \times 20 \\ 880ml

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Lily is redecorating her house. She needs to work out the area of the wall around her
Elanso [62]

*the complete diagram is given in the attachment below

Answer:

✔️ 198.7 m²

✔️$219.9

Step-by-step explanation:

✔️Area around the wall to be painted = area of rectangle - area of triangle

= L×B - ½ab×sin(C)

Where,

L = 17 m

W = 14 m

a = 9.5 m

b = 8.7 m

C = 72°

Plug in the values

Area around the wall to be painted = 17×14 - ½×9.5×8.7×sin(72)

= 238 - 39.3024105

≈ 198.7 m² (nearest tenth)

✔️Cost of painting the wall:

Paint cost $21.99 per container of 20 liters

Find how many liters would be needed if 1 liter covers 1m²

Liters needed to cover 198.7 m² = 198.7*1 = 198.7 liters of paint

20 liters = 1 container,

198.7 liters = 198.7/20 = 9.935 ≈ 10 containers

1 container cost $21.99

10 containers = 21.99×10 = $219.9

3 0
3 years ago
Solve :<br><br> y=3.58•x+ 202.6<br> &amp;<br> y=2.3•x+160.7
Ierofanga [76]

Answer:

x=-32.73\,,\,y=85.43

Step-by-step explanation:

Given: y=3.58x+202.6\,,\,y=2.3x+160.7

To find: value of x and y

Solution:

y=3.58x+202.6\,\,(i)\\y=2.3x+160.7\,\,(ii)

From equation (i) and (ii),

3.58x+202.6=2.3x+160.7\\3.58x-2.3x=160.7-202.6\\1.28x=-41.9\\x=\frac{-41.9}{1.28}=-32.73

Put x=-32.73 in (i)

y=3.58(-32.73)+202.6\\=-117.17+202.6\\=85.43

8 0
3 years ago
What is the equation of the line containing points (-4,3) and (7,5)
ki77a [65]
Use the slope formula and slope-intercept form
y=mx+b
to find the equation.
y=2/11x + 4/11

Hope this helps
3 0
3 years ago
In this problem,y = 1/(x2 + c)is a one-parameter family of solutions of the first-order DEy' + 2xy2 = 0.Find a solution of the f
trasher [3.6K]

Differentiate the given solution:

y=\dfrac1{x^2+C}\implies y'=-\dfrac{2x}{(x^2+C)^2}

Substitute y and y' into the ODE:

-\dfrac{2x}{(x^2+C)^2}+2x\left(\dfrac1{x^2+C}\right)^2=0

and it's easy to see the left side indeed reduces to 0.

6 0
3 years ago
What is the answer to -5x+5y=-10 and 3x-3y=5 using substitution
IceJOKER [234]

Answer:

for the 1st one the answer is x= 3 y=1 and the second one is x= 5 and y = 3 and 1/3

Step-by-step explanation: so basically for the first one -5 times x which is 3 is -15 right? and then 5 times y which is 1 is 5 right so -15 plus 5 = -10

second one is x = 5 and y = 3 and 1/3 because 5*x which is 5 is = to 15 right? and then 3 times y which is equal to 3 and 1/3 is equal to 10 which when you do 15-10 in pretty sure it equals 5 correct me if im wrong

Hope this helps xD ;)

7 0
3 years ago
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