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GarryVolchara [31]

3 years ago

15

Josephine has nine chemistry books, three history books, and eight statistics books. She wants to choose one book of each type t

o study. In how many ways can she choose the three books?

1 answer:

ikadub [295]3 years ago

7 0

Answer:

20

Step-by-step explanation: add them all together

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Please help me with this

Zolol [24]

Answer:

MN=9.1 cm

LM= 9.9 cm

Step-by-step explanation:

3 0

2 years ago

A part-time house cleaner made $9258.13 last year. If he claimed himself as an exemption for $3650 and had a $5700 standard dedu

kari74 [83]

Once we sort through the tax terms, that's just

9258.13 - 3650 - 5700 = $ -91.87
A negative numbers mean the deduction and exemption sheltered all of his income, so he has $0 taxable income, choice D.

3 0

2 years ago

Read 2 more answers

A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. The radius of the Earth is 3959 mi.

RoseWind [281]

We are given
height = 3.7 mi
radius = 3959 mi

We are asked for the distance between the man and the horizon
The straight line from the man to the horizon is a tangent line to the surface of the earth
Using Pythagorean theorem
(3.7 + 3959)² = 3959² + d²

Solve for d
d = 171 mi

6 0

3 years ago

Read 2 more answers

What will you get if you cut a triangle perpendiculary

swat32

Answer:

2 triangles ?

Step-by-step explanation:

sorry if i got this wrong, when you cut it through the middle connecting the ends it give you two triangles?

3 0

3 years ago

Read 2 more answers

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

Read 2 more answers