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Naddika [18.5K]
3 years ago
8

A storage pod has a rectangular floor that measures 21 feet by 9 feet and a flat ceiling that is 7 feet above the floor. Find th

e area of the floor and the volume of the pod.
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

  • area: 189 ft²
  • volume: 1323 ft³

Step-by-step explanation:

The area of the rectangular floor is the product of its length and width:

  A = LW = (21 ft)(9 ft) = 189 ft²

The volume of the pod is the product of that floor area and the height:

  V = Bh = (189 ft²)(7 ft) = 1323 ft³

The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.

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Plz help I put 26 on the points plz help
alex41 [277]

Answer:

do you need help with the L and P???????

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which equation represents the hyperbola in general form?
valina [46]

ANSWER

D.

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

EXPLANATION

The standard equation of the hyperbola is

\frac{ {(y - 2)}^{2} }{4}  -  \frac{ {(x - 2)}^{2} }{9}  = 1

We multiply through by 36 to obtain:

9 {(y - 2)}^{2}  - 4( {x - 2)}^{2}  = 36

We now expand to get,

9( {y}^{2}  - 4y + 4) - 4( {x}^{2}  - 4x + 4) = 36

Expand :

9 {y}^{2}  - 36y + 36  - 4 {x}^{2}  + 16x - 16 = 36

To get the general form, we equate everything to zero to get,

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

The correct choice is D.

7 0
3 years ago
Help me solve this please
Semenov [28]

\huge\underline{ \underline{ \bf{Answer࿐} }}

parallel sides measure :

  • 10 ft -(a)
  • 12 ft. -(b)

Area :

  • 44 ft²

height (h) = x

___________________

\boxed{Area =  \frac{1}{2}  \times (a + b) \times h}

  • \dfrac{1}{2}  \times (10 + 12) \times x = 44

  • \dfrac{1}{2}  \times 22 \times x = 44

  • 11x = 44

  • \boxed{ 4 \:  \: ft}

Therefore, height of Trapezoid is 4 ft

_____________________________

\mathrm{ \#TeeNForeveR}

5 0
3 years ago
John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square
oee [108]
Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

A= l\times w

We just have to substitute
l=62.5 and w= 45.3 into the given formula and evaluate.

This implies that;

A= 62.5\times 45.3

This gives the area of the rectangular-shaped field to be;

A= 2831.25 square yards.

Now for the perimeter, we use the formula

P=2w +2l

Or

P=2(w +l)

Substituting the values for the length and width gives,

P=2(62.5+45.3)

\Rightarrow P=2(107.8)

\Rightarrow P=215.6

Hence the perimeter of the rectangular shaped field is 215.6 yards.
8 0
3 years ago
The length of a rectangle is 3 times the length of a
laila [671]
larger\ rectangles:3l\ \times\ w\\\\smaller\ rectangles:l\ \times\ w\\\\A_{larger}=kA=3lw\\\\A_{smaller}=A=lw\\\\\frac{A_{larger}}{A_{smaller}}=\frac{kA}{A}=k\\\\k=\frac{3lw}{lw}=3\\\\Answer:J.
4 0
3 years ago
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