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3 years ago

What is the scale factor from Figure A to Figure B?

Mathematics

1 answer:

JulijaS [17]3 years ago

5 0

Answer:

Step-by-step explanation:

The figure B is the scaled copy of the figure A.

The both figures are similar to each other.

The scale factor is the ratio of corresponding sides of figure B to A:

k = 3/9 = 1/3

k = 1.2/3.6 = 1/3

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Find a · b. |a| = 60, |b| = 90, the angle between a and b is 3π/4.

sergey [27]

By definition, the dot product between two vectors is given by:

$a.b = | a || b | cos (\alpha)$

We have then that for this case:

$| a | = 60$

$| b | = 90$

$\alpha = \frac{3\pi}{4}$

Therefore, substituting values we have:

$a.b = | 60 || 90 | cos (\frac{3\pi}{4})$

$a.b = -3818$

Answer:

The product point of the vectors is:

$a.b = -3818$

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3 years ago

1. If x=3-√3, prove that x² +36 x² = x²

valentina_108 [34]

Answer:

we get $x^2=12-6\sqrt{3}$

Step-by-step explanation:

We are given: $x=3-\sqrt{3}$

We need to find $x^2$

Note: Since question is not clear, I am assuming that we need to find $x^2$

Solving:

$x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\$

We know that $(a-b)^2= a^2-2ab+b^2$

Using formula and simplifying

$x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\$

So, we get $x^2=12-6\sqrt{3}$

3 0

3 years ago

a drawer contains 10 blue pens and 10 red pens Without looking Msr. Stanton takes 1 pen uses it and puts it back

Rudiy27

Answer:
1/2 if it's a probability question of getting one blue pen But there's also very little information on the question
Step-by-step explanation:

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2 years ago

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements

s344n2d4d5 [400]

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

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3 years ago

A client is to receive 1,800 mL of fluid during a 24-hour period. The client is to receive 3/4 of the fluid between 7 AM and 10

Alex

3/4 * 1800ml = 1350ml
He will drink 1350ml in that time.

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3 years ago