What is the volume of the rectangular pyramid

Virty [35]

Question:

The length of a room is 18 1 /2 feet. If using 1 /4 inch = 1 foot scale, what would be the length of a wall on a blueprint of a floor plan?

Answer:

The length of a wall on a blueprint of a floor plan is $4.625 \text{ or } 4\frac{5}{8} \text{ inches }$

Solution:

Given that,

$Length\ of\ room = 18\frac{1}{2} \text{ feet }\\\\Length\ of\ room = 18.5 \text{ feet }$

The scale given is:

$\frac{1}{4}\ inch = 1\ foot$

To find: Length of a wall on a blueprint of a floor plan

Let "x" be the length of a wall on a blueprint of a floor plan

Then from given,

$\frac{1}{4}\ inch = 1\ foot\\\\x\ inches = 18.5\ feet$

This forms a proportion and we can solve by cross multiplying

$\frac{1}{4} \times 18.5 = x \times 1\\\\x = 4.625\\\\In\ terms\ of\ mixed\ fraction,\\\\x = 4\frac{5}{8}$

Thus length of a wall on a blueprint of a floor plan is $4.625 \text{ or } 4\frac{5}{8} \text{ inches }$

3 0

3 years ago

Read 2 more answers

6. The base of a triangular field is three times its height. If the cost of cultivating the field

dedylja [7]

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = $\frac{1}{2}$ x base x height

For the given triangle,

area = $\frac{1}{2}$ x b x 3h

= $\frac{3}{2}$ bh

Area of the triangle = $\frac{3}{2}$ bh

To determine the number of hectares,

36 per hectare = 486

hectare = $\frac{486}{36}$

= 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

= 13.5 x 10 000

= 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = $\frac{3}{2}$ bh

135 000 = $\frac{3}{2}$ bh

270000 = 3bh

bh = $\frac{270000}{3}$

= 90000

bh = 90000

But, b = 3h

3h x h = 90000

3 $h^{2}$ = 90000

$h^{2}$ = $\frac{90000}{3}$

= 30000

h = $\sqrt{30000}$

= 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

= 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

7 0

4 years ago

I need help with this equation -11(-8×-15) my teacher said that I need to show my work pls help me.

Zielflug [23.3K]

First calculate (-8x-15)=120

Then multiply - 11x120

=-1320

3 0

3 years ago

One quarter of a bread recipe calls for 2/3 cups of bread flour how many cups are needed per person

svetlana [45]

If a whole bread recipe is the serving size per person, you would need 8/3 cups, or 2 and 2/3 cups I think.

5 0

3 years ago

Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?

gayaneshka [121]

Answer:

A: The x-intercept of k(x) is half the x-intercept of h(x)

Step-by-step explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

h(x) = 0 = -2x +4 ⇒ x = 4/2 = 2

k(x) = 0 = 4x -4 ⇒ x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A

7 0

3 years ago