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3 years ago

13

The size of a pizza is given by it's diameter. A 14 inch pizza is half pepperoni and half cheese. Which is the closest to the ar

ea of the pizza with pepperoni?

1 answer:

vovikov84 [41]3 years ago

8 0

Answer:

pi r^2= area

diameter is 14 whereas the radius is half so 7

therefore answer is 153.94

Step-by-step explanation:

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Simplify the expression.

spayn [35]

Answer:

C. $\huge\frac{1}{3x {y}^{2} {z}^{4}}$

Step-by-step explanation:

$(9 {x}^{2} {y}^{4} {z}^{8} )^{ - \frac{1}{2} } \\ \\ = ( {3}^{2} {x}^{2} {y}^{4} {z}^{8} )^{ - \frac{1}{2} } \\ \\ = \frac{1}{( {3}^{2} {x}^{2} {y}^{4} {z}^{8} )^{ \frac{1}{2} }} \\ \\ = \frac{1}{(3x {y}^{2} {z}^{4})^{2 \times \frac{1}{2} } } \\ \\ = \frac{1}{3x {y}^{2} {z}^{4}} \\ \\ \red{ \bold{ \therefore \: (9 {x}^{2} {y}^{4} {z}^{8} )^{ - \frac{1}{2} } = \frac{1}{3x {y}^{2} {z}^{4}} }}\\$

7 0

4 years ago

Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,

nlexa [21]

$$ PS = \frac{4}{3} x$

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x$

$TQ=PQ-PT$

$TQ=3x -x=2x$

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$$\frac{PS}{SR} =\frac{PT}{TQ}$

$$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}$

Do cross multiplication, we get

$$ PS \times 2x=x \times \frac{8}{3} x$

Divide by 2x on both sides, we get

$$ PS = \frac{4}{3} x$

4 0

3 years ago

john's first 3 tests scores in chemistry were 70, 75, 91. what was his median score? a. 72.5 b. 91 c. 75 d. 10

Vilka [71]

C. 75. The median is the middle number in the sequence

3 0

3 years ago

which equation can replace 3x 5y = 59 in the original system and still produce the same solution? 2x – y = –4 10x – 5y = –20 7x

natka813 [3]

From my research, the original system of equations contain the following equations:

<span>2x − y = −4
3x + 5y = 59

where obtained solution is x = 3

Among the choices, it is easier to substitute </span><span>3x + 5y = 59 with one of the choices to see if they yield the same solution set. From trial-and-error, the equation that can replace the original equation is " 13x = 39 ". Among the choices, it is the 4th choice.</span>

8 0

4 years ago

Read 2 more answers

What is the range of the function f(x)=(x+4)²+5

hammer [34]

Answer:

$Range=\left \{y|y\geq 5\right \}$

Step-by-step explanation:

Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:

$Range=\left \{y|y\geq 5\right \}$

8 0

3 years ago