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3 years ago

13

Heather finally narrowed her clothing choices for the big party down to three skirts, two tops and four pies of shoes. How many

different outfits are possible from these choices?

1 answer:

Zigmanuir [339]3 years ago

6 0

<h3>Answer: 24</h3>

To get this answer, we multiply the values given to us

3*2*4 = 6*4 = 24

So that's why there are 24 different outfits possible.

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1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14<br> for Pi

prohojiy [21]

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = $\frac{4}3}$ $\pi r^3$

= 4 * 3.14 * 3 * 3 *3 / 3

= 4 * 28.26

= 113.04 cm³

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2 years ago

Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅?

Tom [10]

Answer: Option C is correct

Step-by-step explanation:

We know tha tCos(A-B) = cosA cosB + sinAsinB

Plugging A = 180 and B = Ф

cos(180-Ф)= cos180cosФ+sin180sinФ

= (-1) cosФ+ (0) sinФ [ since cos180=-1 and sin180 =0]

= -cosФ + 0

= -cosФ

Therefore option C is the correct answer.

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3 years ago

Read 2 more answers

The density of a certain material is such that it weighs 71 pounds for every 2.5 gallons of volume. Express this density in tons

kvasek [131]

Answer:

$d=3.75\ \text{tons per cubic meter}$

Step-by-step explanation:

Given that,

Mass of a certain material, m = 71 pounds

Since, 1 ton = 2000 pounds

71 pounds = 0.0355 ton

Volume of the material, V = 2.5 gallons

Since, 1 m³ = 264.172 gallon

2.5 gallon = (2.5/264.172 ) m³

Density,

$d=\dfrac{m}{V}\\\\d=\dfrac{0.0355\ \text{tons}}{\dfrac{2.5}{264.172}\ m^3}\\\\d=3.75\ \text{tons per cubic meter}$

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2 years ago

What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d? Negative 5 c d c d minus 8 d 5 c d minus 8

Pavel [41]

Question

What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?

a) Negative 5 c d

b) c d minus 8 d

c) 5 c d minus 8 d

d) Negative 5 c d minus 8 d

Answer:

a) Negative 5cd or -5cd

Step-by-step explanation:

The question asks:

What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?

This is expressed mathematically as:

-3cd - d(2c - 4) - 4d

= -3cd -2cd + 4d - 4d

= -5cd + 0

= -5cd

The answer is negative 5cd(in words) or - 5cd

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3 years ago

What is the distance between points A and C?<br> 3.3 units<br> 3.6 units<br> 5.2 units<br> 7.8 units

artcher [175]

Answer:

AC ≈ 7.8 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )

AC = $\sqrt{(2-(-4))^2+(1-(-4))^2}$

= $\sqrt{(2+4)^2+(1+4)^2}$

= $\sqrt{6^2+5^2}$

= $\sqrt{36+25}$

= $\sqrt{61}$

≈ 7.8 ( to 1 dec. place )

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2 years ago