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Sholpan [36]
2 years ago
5

The price of a computer was decreased by 30% to £147. What was the price before the decrease?

Mathematics
1 answer:
zhuklara [117]2 years ago
7 0

A decrease by 30%, means that the price is now 70% of the original price ( 100% - 30% = 70%)

To find the original price divide the new price by the percent of the original price it is now.

147 / 0.70 = 210

The original price was £210

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In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline
VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

6 0
2 years ago
Here is the scale model of a fountain at a museum the scale is 1:30 how many boulders are in the real fountain
wlad13 [49]

Answer:

When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.

So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).

Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.

6 0
2 years ago
Read 2 more answers
The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
Rzqust [24]

Answer:

  109.9 ft

Step-by-step explanation:

The length of an arc that is 1/4 of a circle of radius 70 ft is ...

  s = rθ

  s = (70 ft)(π/2) = 35π ft ≈ 109.9557 ft

The best answer choice appears to be 109.9 feet.

4 0
2 years ago
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Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x
tatyana61 [14]

Answer:

2.\ f(x) = \frac{3}{4}x^2 + 2x - 5

Step-by-step explanation:

Given

f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7

Required

Which of the above is a quadratic function

A quadratic function has the following form;

ax^2 +bx + c = 0 \ where \ a\neq 0

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

1.\ f(x) = -8x^3 - 16x^2 - 4x

This is not a quadratic function because it follows the form f(x) = ax^3 + bx^2 + c and this is different from ax^2 +bx + c = 0 \ where \ a\neq 0

2.\ f(x) = \frac{3}{4}x^2 + 2x - 5

This function has an exact match with ax^2 +bx + c = 0 \ where \ a\neq 0

By comparison; a = \frac{3}{4}\ b = 2\ and\ c = -5

3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1

This is not a quadratic function because it follows the form f(x) = \frac{a}{x^2} + \frac{b}{x} + c and this is different from ax^2 +bx + c = 0 \ where \ a\neq 0

4.\ f(x) = 0x^2 - 9x + 7

This is not a quadratic function because it follows the form f(x) = ax^2 +bx + c = 0\ but\ a = 0

Unlike the quadratic function where a\neq 0

So, from the list of given options, only 2.\ f(x) = \frac{3}{4}x^2 + 2x - 5 satisfies the given condition

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2 years ago
A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independen
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68 is the correct answer. Thank you for your help! Love doing this!
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