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MAVERICK [17]
2 years ago
5

56. Mikayla is filling a glass sphere with water.

Mathematics
1 answer:
kirill [66]2 years ago
8 0

Answer:

The minimum amount of water to fill the sphere is 904.32\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (glass sphere) is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=12/2=6\ in ----> the radius is half the diameter

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(6)^{3}

V=904.32\ in^{3}

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Answer:

Sounds like Sam better pull it together

Step-by-step explanation:

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A building has an entry the shape of a parabolic arch 74 ft high and 28 ft wide at the base as shown below.
sergiy2304 [10]
The equation of a parabola with vertex at (h,k) is 
y=a(x-h)²+k

vertex isi at (0,0)

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find a

we see that one point is (14,-74)
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2 years ago
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6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of
PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

a=\$4.25

b=\$2.25

c=\$4.00/lb

we know that

He wants to buy a tuna sandwich, a bottle of  apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

a+b+cx \leq 8

substitute the given values

4.25+2.25+4.00x \leq 8

Solve for x

Combine like terms

6.50+4.00x \leq 8

Subtract 6.50 both sides

4.00x \leq 8-6.50

4.00x \leq 1.50

Divide by 4 both sides

x \leq 1.50/4.00

x \leq 0.375\ lbs

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

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When Ms. Sugar turned on her oven, the temperature inside was 70 degrees Fahrenheit. The temperature began to rise at a rate of
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∠C and ​ ∠D ​ are vertical angles with  m∠C=−x+26 and  m∠D=2x−10 .   What is m∠D ?
Valentin [98]
Vertical angles are made by two intersecting lines .and they are always equal
<span>∠C and ​ ∠D are equal.
so  </span><span>−x+26 =2x-10
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∠D= 2x-10
put value of x here
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2 years ago
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