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2 years ago

If $9x^2 - 16x + k$ is a perfect square trinomial, find $k$.

Mathematics

1 answer:

Lady_Fox [76]2 years ago

7 0

Answer:is this a real quistion

Step-by-step explanation:?

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What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi. (4

saveliy_v [14]

Answer: $19,461\ ft^3$

Step-by-step explanation:

The missing figure is attached.

The volume of grain that could completely fill this silo is the sum of the volume of the cylinder and the volume of the hemisphere.

By definition, the volume of a cylinder can be calculated with this formula:

$V_c=\pi r^2h$

Where "r" is the radius and "h" is the height.

In this case you know that:

$r=6\ ft\\\\h=168\ ft$

And the volume of a hemisphere can be found using the following formula:

$V_h=\frac{2}{3} \pi r^3$

Where "r" is the radius.

In this case:

$r=6\ ft$

Therefore, the volume of grain that could completely fill this silo, rounded to the nearest whole number, is:

$V_{grain}=(\frac{22}{7})(6\ ft)^2 (168\ ft)+\frac{2}{3} (\frac{22}{7})(6\ ft)^3\\\\V_{grain}\approx19,461\ ft^3$

3 0

2 years ago

(8.218+9.93)+(17.782+0.07)

Licemer1 [7]

First, using the order of operations(PEMDAS), you would solve what is inside the parenthesis.
<span>(8.218 + 9.93) + (17.782 + 0.07)
(</span>18.148) + (17.852)
18.148 + 17.852

Now, all you would have to do is add the two sums.
18.148 + 17.852 = <span>36
</span>
The answer would be 36.

I hope this helps!

5 0

2 years ago

A room with a length of 270 cm and width 150 cm is to be covered with square tiles .What is the largest size of tiles to be used

Damm [24]

Find the greatest common factor of both numbers:

Factors for 150:

150: 1, 2, 5 , 6, 10, 15, 25, 30, 50, 75, 150

Factors for 270:

1, 2, 3, 5, 6 , 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The largest number they both have in common is 30, so the largest tile could be 30 cm^2.

5 0

2 years ago

Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the

marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

= $ 4.5

Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

= $ 10.5

Hence proved

5 0

2 years ago

Read 2 more answers

Keisha makes a large sandwich for a family picnic.She takes 1/2 of the sandwich to the picnic.At the picnic,her family eats 3/8

insens350 [35]

Answer:

Keisha has 1/8th of the sandwich that she brings back.

Step-by-step explanation:

To start, take a whole sandwich and subtract the 1/2 she left at home and the 3/8 that her family ate.

1 - 1/2 - 3/8 = Leftover

We also need to give them common denominators to complete the action.

8/8 - 4/8 - 3/8 = Leftover

1/8 = Leftover

3 0

2 years ago