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3 years ago

Please help!

Mathematics

2 answers:

WINSTONCH [101]3 years ago

4 0

9514 1404 393

Answer:

13.4 cm

Step-by-step explanation:

The volume of the cone is given by ...

V = 1/3πr²h

For the given dimensions, we have ...

60 cm³ = 1/3π(3 cm)²h

20/π cm = h ≈ 6.37 cm . . . . . . . . . . . divide by the coefficient of h

The overall height of the glass, H, is 7 cm more than the value of h.

H = 7 cm +6.4 cm = 13.4 cm

The height of the glass is 13.4 cm.

Xelga [282]3 years ago

3 0

Answer:

The volume of cone = Maximum holding of glass = 60 cube cm(cm^3)

Step-by-step explanation:

Cone formula:

$v = \frac{1}{3} \pi \: r {}^{2} h$

The radius is 3cm and Volume is 60cm^3.

if pi =~ 3 So the "h" is 6.66 cm.

"h" is distance from cone's head to its base.

The "H"( height of glass) = 6.66 + 7 = 13.6 =~ 14

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If g(x) = -2x - 2, find g(-2x).

USPshnik [31]

Answer:

Step-by-step explanation:

You would replace the x with -2x so you would end up with -2×-2 and that is 4 then minus 2 is 2.

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3 years ago

You want to order some T-shirts that cost $14 each. Shipping is $7 per order. If you buy 11 T-shirts, what will the order cost?

poizon [28]

14 x 11 = 154
7 x 11 = 77
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3 years ago

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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

Delvig [45]

Answer:

0.75 liters of 5% hydrochloric acid solution
0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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3 years ago

use elimination to solve. For a production of sweeney Todd in Las Vegas, orchestra seats cost $42 and mezzanine seats cost $25.

lidiya [134]

They bought 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Cost of one orchestra seat = $42

Cost of one mezzanine seat = $25

No. of people = 14

Amount spent = $486

Let,

x be the number of orchestra seats

y be the number of mezzanine seats

According to given statement;

x+y=14 Eqn 1

42x+25y=486 Eqn 2

Multiplying Eqn 1 by 25;

$25(x+y=14)\\25x+25y=350\ \ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2 to eliminate y;

$(42x+25y)-(25x+25y)=486-350\\42x+25y-25x-25y=136\\17x=136$

Dividing both sides by 17

$\frac{17x}{17}=\frac{136}{17}\\x=8$

Putting x=8 in Eqn 1

$8+y=14\\y=14-8\\y=6$

They bought 8 orchestra seats and 6 mezzanine seats.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

Afton made a chicken dish for dinner she added a 10 ounce package of vegetables and a 14 ounces package of rice to 40 ounces of

choli [55]

64 oz.

14+10=24

40+24=64

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3 years ago

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