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3 years ago

Annie estimates that a bookcase is 78.25 inches .the actual height is 75.50 inches

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Percent error = (estimate - real)/(real) * 100

percent error = (78.25 - 75.50)/(75.50) * 100

percent error = 3.6%

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dusya [7]

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given: Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

=(1/3)π(2²)(7)

=29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

∴ x = 9+√71

7 0

3 years ago

Tell me something you have wanted to say but never told anyone.

Stells [14]

I’m not that smart i just get answers off the internet

6 0

3 years ago

Find the distance between the points (–3, 2) and (0, 3).

Oksi-84 [34.3K]

Answer: $\sqrt{10}\ units$

Step-by-step explanation:

You need to use the following formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the points (-3, 2) and (0, 3), you can identify that:

$x_2=-3\\x_1=0\\\\y_2=2\\y_1=3$

Then, the final step is to substitutes these coordinates into the formula.

So, the distance between the given points is:

$d=\sqrt{(-3-0)^2+(2-3)^2}\\\\d=\sqrt{10}\ units$

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3 years ago

Amy ate of a pizza and Jack ate of a pizza. Which of the following is true?

pav-90 [236]

Answer:

Step-by-step explanation:

. portion of pizza eaten by Amy = portion of pizza eaten by Jack because it doesn't tell us information how much did they ate.

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3 years ago

(PLEASE HELP) The table below - does it represent an exponential function?

Aliun [14]

Short answer: I don't know, but that doesn't mean I can't give you something that you can decide for yourself.
y = 4*2^(2n - 2) is the pattern.
Go for broke. Try n = 4. You should get 256. Let's try it.
y = 4 * 2^(2*4 - 2)
y = 4 * 2^(8 - 2)
y = 4 * 2^6
y = 4 * 64
y = 256 yup it works.

The other end is just as important. Suppose n = 1
Then y = 4 * 2^(2*1 - 2) = 4 * 2^0 = 4*1 = 4 Both work.

If this formula is correct, we can abbreviate it to make your task easier.
y = 4 * 2^(2n - 2)
y = 2^2 * 2^(2n - 2)
y = 2^(2n - 2 + 2)
y = 2^(2n) Now try the two end points again.

n = 4
y = 2^(2*4)
y = 2^8
y = 256

n = 1
y = 2^(2*1)
y = 2^2
y = 4 which again checks.

so y = 2^(2n) I think is an exponential function.
Sorry my explanation is so long.

6 0

3 years ago