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3 years ago

A three-dimensional model of Arthur's apartment is

Mathematics

2 answers:

Ilya [14]3 years ago

5 0

Answer: The volume of the apartment is 2,160 ft3.

An hourly rating of 2.5 BTUs per cubic foot is required, so multiply the total volume by 2.5.

Arthur needs an air conditioner that will provide 5,400 BTUs to properly cool his apartment

Step-by-step explanation:

gayaneshka [121]3 years ago

5 0

Answer:

2,160

multiply the total volume by 2.5

5,400 BTUs

Step-by-step explanation:

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Dave has a board that is

Naya [18.7K]

Answer:

The answer is 1 3/8 (B)

Step-by-step explanation:

3 1/4 - 1 7/8 = 1 3/8

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2 years ago

Work out <br> 5/25+2/50+7/100

bixtya [17]

Answer:

The answer is 31/100

Step-by-step explanation:

5/25 + 2/50 + 7/100 = 31/100

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2 years ago

Need help with 5, 6, 7 i don’t know how to do it can someone help me with the steps

pashok25 [27]

Answer:

5) the answer is 2 hours

Step-by-step explanation:

1 hour: 35% is destroyed

35% added 2 times (2 hours) equals 70%

8 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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2 years ago

Evaluate the expression.

Katarina [22]

Answer:

Step-by-step explanation:

The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.

4 0

2 years ago