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3 years ago

8

The freshman class will be selling carnations as a class project. What is the class's income after it pays the florist a flat fe

e of $200 and sells c carnations for $2 each? Write an algebraic expression that models the situation.

1 answer:

mr Goodwill [35]3 years ago

6 0

INCOME FUNCTION F(c) = 2c - 200

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What is the value of x? Enter your answer, as a decimal, in the box. m Triangle M N P with segment A B parallel to segment N P a

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Answer:

$x=42.9\ m$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles MNP and MAB are similar by AA Similarity Theorem

so

$\frac{MA}{MN}=\frac{MB}{MP}$

we have

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$MN=67.2\ m$

$MB=x\ m$

$MP=81.9\ m$

substitute the given values

$\frac{35.2}{67.2}=\frac{x}{81.9}$

Solve for x

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3 years ago

135 cu.ft. = ? cu.yd.

gavmur [86]

Step-by-step explanation:

135 cu.ft. = <u>5</u>cu.yd.

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2 years ago

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Which of the following is NOT TRUE in determining if two graphs are inverses of each other?

Nonamiya [84]

Answer:

B

Step-by-step explanation:

The first choice is true.

The second is not true.

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3 years ago

The top of the John Hancock Building is a rectangle whose length is 60 ft more than the width. The perimeter is 520 feet. What i

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Answer:

160 ft

Step-by-step explanation:

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than,

let, width =x

now,

2(x+60+x) = 520

or, 2x+60 = 260

or, 2x = 200

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2 years ago

Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet

Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0

3 years ago