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3 years ago

PLEASE HELPPPPPPPPPPPPPPPPPPPPPP

Mathematics

1 answer:

alexandr402 [8]3 years ago

4 0

Answer:

Step-by-step explanation:

the combined area = area of the trapezoid + area of the triangle

= $\frac{2*(4+2)}{2}$ $+ \frac{2*4}{2}$

= 6 + 4

= 10

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Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X

GarryVolchara [31]

Answer: $9240\ ft^3$

Step-by-step explanation:

Given

Dimension of the bathroom is $12'\times 16'$

Dimension of the bedroom is $14'\times 18$

Dimension of the great room is $20'\times 30'$

Height of the ceiling is $h=10'$

Total area of the cabin

$\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2$

Volume of the cabin is $V=A\times h$

$\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3$

8 0

2 years ago

3,600 dived by 9 can someone help asp

hammer [34]

Just plug it into a calculator and you would get 400

5 0

2 years ago

Read 2 more answers

PLZ ANSWER QUICK-MATH TRIG

IRISSAK [1]

Answer:

FG = 9.7ft

Step-by-step explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)

7 0

3 years ago

Plz Answer ASAP!!! (20 Points)

Kaylis [27]

Equation is x= 558 t2/496

x=4.5

I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3

3 0

3 years ago

Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

4 0

3 years ago