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2 years ago

8

A circular pizza with a diameter of 8 inches. The pizza is in a square box with side lengths of 8 inches. In square inches, how

much of the box is empty?
Use π = 3.14 and round your answer to the nearest hundredth.

1 answer:

Mumz [18]2 years ago

8 0

Step-by-step explanation:

13.70 square inches of the box is empty

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The graph shows how the volume, V, of the cube changes as the length of the sides, S, changes

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Solution:

The graph shows how the volume, V, of the cube changes as the length of the sides, S, changes.

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This table shows how the volume, V, of the cube changes as the length of the sides, S, changes.

Option C is the correct option for the table that matches the graph.

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If n represents a number, then write an expression for two less than one fourth of

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Answer:

$\frac{1}{4} n - 2$

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3 years ago

What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

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3 years ago

Katarina is a botanist studying the production of

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The Type B trees produces 120 pears.

<h3>What is meant by percentage?</h3>

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.

<h3>How many pears did the Type B trees produce?</h3>

Type A trees produced 20 percent more pears than Type B trees did
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Let us consider, Type B produced 100% pears.

So, Type A will produce 120%of B, that is 144

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simplifying the above equation, we get

144 $*$ 100 = 120B

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Therefore, the correct answer is option B) 120.

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