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3 years ago

Do dialations always increase the length of line segments

1 answer:

3 0

While they scale distances between points, dilations do not change angles. ... Transformations affect all points in the plane, not just the particular figures we choose to analyze when working with transformations. All lengths of line segments in the plane are scaled by the same factor when we apply a dilation

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A biologist analyzes 15 bacteria samples each day a. complete the table

Igoryamba

Answer:

Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15

Step-by-step explanation:

7 0

3 years ago

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D = miles at a speed. r = miles per hour.

kvv77 [185]

It would come out to 240/50 which would equal 4.8
plus 0.5 which would equal 5.3 so d is your answer

6 0

3 years ago

Use vertical multiplication to find the product of

jeka57 [31]

Multiply the first terms
Multiply the outer terms
Multiply the inner terms
Multiply the last terms
Combine like terms, then possible , the answer is C.

5 0

3 years ago

how many metres of wire is needed to fence a circular pond of radius 7.7m if the fence is to have three strands of wire all the

liq [111]

Find the circumference of the pond:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 7.7 = 48.356 m

You want to go around 3 times so multiply the circumference by 3:

48.356 x 3 = 145.068m

Rounded to 1 decimal = 145.1m

4 0

3 years ago

Which of the following are true statements about a 30-60-90 triangle? Check all that apply.

never [62]

<h2>Answer:</h2><h3>C. The hypotenuse is twice as long as the shorter leg. </h3><h3>B. The longer leg is √3 times as long as the shorter leg.</h3><h3 /><h2>Step-by-step explanation:</h2>

A 30-60-90 triangle is a right triangle. Triangles with a right angle are called right triangles. A right triangle can only have a right angle. The representation of this problem is shown below. So let's demonstrate why the mentioned options are correct:

The hypotenuse of a right triangle is always opposite to the right angle. If we name $a$ as the shorter leg, for the sine of law is true that the hypotenuse is:

$\frac{H}{sin90}=\frac{a}{sin30} \\ \\ \frac{H}{1}=\frac{a}{0.5} \\ \\ \boxed{H=2a}$

So this fact tells us that the hypotenuse is twice as long as the shorter leg

The longer leg, let's name it $x$ can be calculated using Pythagorean Theorem:

$H^2=x^2+a^2 \\ \\ x=\sqrt{H^2-a^2} \\ \\ x=\sqrt{(2a)^2-a^2} \\ \\ x=\sqrt{4a^2-a^2} \\ \\ x=\sqrt{3a^2}=\sqrt{3}a$

So it is true that the longer leg is √3 times as long as the shorter leg.

3 0

4 years ago

Read 2 more answers