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3 years ago

9

The spine of a science textbook is 0.50 inches. How many science textbooks can be placed standing up on a shelf that is 12 inche

s long?
Justify your answer with models, pictures, and/or equations.
equations.
Spine = width

1 answer:

kramer3 years ago

7 0

24 stared text books

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Graph ∆KLM with vertices K(2,2), L(0,- 1), and M(-3,2). Graph ∆K'L'M' with a scale factor of 2. What are the coordinates of the

olasank [31]

Answer:

The coordinates of the new vertices are:

K'(4,4), L'(0,- 2), and M'(-6,4).

Step-by-step explanation:

In order to dilate a shape by 2, you can simply multiply the coordinates of the orignal triangle each by 2 to find the new coordinates of the new vertices.

K(2,2), L(0,- 1), and M(-3,2)

K'(2*2,2*2), L'(0*2,- 1*2), and M'(-3*2,2*2).

Now become...

K'(4,4), L'(0,- 2), and M'(-6,4).

You can now graph ∆K'L'M' using these coordinates.

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2 years ago

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

Gekata [30.6K]

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

Triangle CBA is similar to Triangle FED. (Option A)

Also,

Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

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3 years ago

Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

musickatia [10]

The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1

</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)

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3 years ago

-6.2 - 12.6x = 5.8 - 7.8x

Sav [38]

Answer:

x = -2.5

Step-by-step explanation:

Step 1: Write equation

-6.2 - 12.6x = 5.8 - 7.8x

Step 2: Solve for <em>x</em>

<u>Add 12.6x on both sides:</u> -6.2 = 5.8 + 4.8x

<u>Subtract 5.8 on both sides:</u> -12 = 4.8x

<u>Divide both sides by 4.8:</u> x = -2.5

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)

-6.2 + 31.5 = 5.8 + 19.5

25.3 = 25.3

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3 years ago

your sister can get $30 per day for selling clothes at the market. but she has to pay $60 at first for renting a stand. you can

vova2212 [387]

Answer: after 3 days

Step-by-step explanation: Step-by-step explanation: The sister has to pay rent which is $60 which means she has negative $30 in three days the sister would have earned $60 and in 3 days the brother would have earned $60

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3 years ago